Contents Student Notes TAKS Objective 1 • Numbers, Operations, and Quantitative Reasoning
iv–vii 1–20
TEKS 6.1.A, 6.1.B, 6.1.C, 6.1.D, 6.1.E, 6.2.A, 6.2.B, 6.2.C, 6.2.D TAKS Objective 2 • Patterns, Relationships, and Algebraic Reasoning
21–34
TEKS 6.3.A, 6.3.B, 6.3.C, 6.4.A, 6.4.B, 6.5 TAKS Objective 3 • Geometry and Spatial Reasoning
35–44
TEKS 6.6.A, 6.6.B, 6.6.C, 6.7 TAKS Objective 4 • Measurement
45–54
TEKS 6.8.A, 6.8.B, 6.8.C, 6.8.D TAKS Objective 5 • Probability and Statistics
55–68
TEKS 6.9.A, 6.9.B, 6.10.A, 6.10.B, 6.10.C, 6.10.D TAKS Objective 6 • Processes and Tools used in Problem Solving
69–82
TEKS 6.11.A, 6.11.B, 6.11.C, 6.12.A, 6.13.A, 6.13.B Mathematics Chart
83–84
Practice Test Answer Sheets
85–86
Practice Test A
87–101
Practice Test A (Spanish)
103–117
Practice Test B
119–133
Practice Test B (Spanish)
135–149
iii
TAKS
Student Notes Academic Vocabulary
Knowing the meanings of the words and phrases below will help you read and understand TAKS test questions. You may want to copy these words into a notebook and write definitions for them or give examples of how they are used in mathematics. When you learn new words, add them to your notebook.
Action Words in Mathematics calculate determine approximate describe prove compare verify simplify
evaluate generate estimate represent disprove contrast support model
Number whole number positive consecutive factor divisor prime number commutative distributive property product
integer negative multiple common factors divisible prime factorization associative cross products quotient
greater than more than at least closest to greatest wider maximum different increase inside within double triple
less than fewer than at most farthest from least narrower minimum same decrease outside beyond halve quadruple
Ratio and Proportion
conversion dimensions height depth circumference square units cubic units lateral surface area sea level degrees approximation
Percent and Money
Measurement convert units length width perimeter area volume surface area altitude elapsed time scientific notation
iv
Student Notes Academic Vocabulary
ratio numerator proportion part means scale factor similar
fraction denominator proportional whole extremes scale drawing similarity
Rate and Change rate speed rise slope
per velocity run direct variation
percent increase tax amount gross income principal
percent decrease discount balance net interest
TAKS Objectives Review and Practice Grade 6 TAKS Test
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Quantities and Comparisons
TAKS
Student Notes Academic Vocabulary (continued)
Graphing and Coordinate Plane axis, axes ordered pair origin x-intercept endpoint graph independent quantity domain
quadrant coordinates scatterplot y-intercept midpoint plot dependent quantity range
Transformations translate reflect dilate enlarge reduce original symmetry
translation reflection dilation enlargement reduction image line of symmetry
Probability Algebra
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
expression variable value equivalent power exponent equation system of equations root of an equation
term coefficient substitute equality base solution inequality system of inequalities zero of a function
Geometry triangle rectangle cylinder cone vertex face segment square rhombus pentagon circle perpendicular opposite base slant height net acute angle right angle scalene complementary angles congruent
triangular rectangular cylindrical conic edge diagonal polygon trapezoid parallelogram hexagon sphere parallel adjacent height radius views of a solid obtuse angle isosceles equilateral supplementary angles congruence
TAKS Objectives Review and Practice Grade 6 TAKS Test
chances theoretical outcome dependent events randomly chosen
odds experimental event independent events replacement
Data and Statistics mean median line graph bar graph frequency box-and-whisker plot extreme
average mode circle graph histogram frequency table outlier quartile
Other Terms and Phrases valid consists of supports satisfies pattern method diagram respectively
invalid in terms of contradicts does not satisfy term in a sequence procedure display cannot be determined
Student Notes Academic Vocabulary
v
Student Notes Visual Formulas
TAKS
Perimeter
Area s s
s s
s
s
s
s
square
square
P 5 4s
A 5 4s2
l w
w
w l
l
rectangle
rectangle
P 5 2* 1 2w or P 5 2(* 1 w)
A 5 *w
Circles h b d
triangle
radius
diameter
r
d 5 2r
r
bh 1 A 5 }2 bh or A 5 } 2
r
circumference
area
C 5 2p r or C 5 p d
A 5 pr2
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
r
h b parallelogram
A 5 bh 22 p ø 3.14 or p ø } 7 b1 h b2 trapezoid
1
(b1 1 b2)h
A 5 }2 (b1 1 b2)h or A 5 } 2
vi
Student Notes Visual Formulas
TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS
Student Notes Visual Formulas (continued)
Pythagorean Theorem
Volume
c
a
s
b 2
r
s
2
a 1b 5 c
s
2
Surface Area s
cube
sphere
V 5 s3
V 5 }3 p r 3
4
r
h
s
w
s cube
S 5 6s
sphere 2
S 5 4p r 2
l prism
V 5 Bh or V 5 *wh
h
h r
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
r cylinder lateral area n
area of bases n
S 5 2p rh 1 2p r 2 or S 5 2p r (h 1 r)
cylinder
V 5 Bh or V 5 p r 2h
h w
l pyramid
1 1 V 5 }3 Bh or V 5 }3 *wh l
h r cone
lateral area of area base n n
S 5 p r* 1 p r 2 or S 5 p r (* 1 r)
TAKS Objectives Review and Practice Grade 6 TAKS Test
l
h r cone
1 1 V 5 }3 Bh or V 5 }3 p r 2h
B represents the area of the Base of a solid figure.
Student Notes Visual Formulas
vii
Name ——————————————————————— TAKS
Date ————————————
Objective 1 TEKS Tracker TAKS Objective 1 TEKS Tracker
As you complete the review and practice pages for TAKS Objective 1, check off the boxes next to the TEKS you have covered below.
Objective 1 The student will demonstrate an understanding of numbers, operations, and quantitative reasoning. Pages
Tracker
TEKS
6.1
Number, operation, and quantitative reasoning. The student represents and uses rational numbers in a variety of equivalent forms. The student is expected to:
h h
6.1.A
compare and order non-negative rational numbers
6.1.B
generate equivalent forms of rational numbers including whole numbers, fractions, and decimals
h h h
6.1.C
use integers to represent real-life situations
6.1.D
write prime factorizations using exponents
6.1.E
identify factors of a positive integer, common factors, and the greatest common factor of a set of positive integers
6.2
Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, and divides to solve problems and justify solutions. The student is expected to:
12–13
h
6.2.A
model addition and subtraction situations involving fractions with objects, pictures, words, and numbers
14–15
h
6.2.B
use addition and subtractions to solve problems involving fractions and decimals
16–17
h
6.2.C
use multiplication and division of whole numbers to solve problems including situations involving equivalent ratios and rates
18–19
h
6.2.D
estimate and round to approximate reasonable results and to solve problems where exact answers are not required
20
h
Objective 1 Mixed Review
2–3 4–5 6–7 8–9
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
10–11
TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 1 TEKS Tracker
1
Name ———————————————————————
Objective 1 TEKS 6.1.A Review
TAKS Objective 1 TEKS 6.1.A Review
TAKS 6.1.A
Date ————————————
Compare and order non-negative rational numbers.
In order to compare rational numbers, rewrite each fraction using a common denominator. They can then be easily ordered by comparing the numerators. 3 1
1
Write the rational numbers }4 , }3 , and }2 in order from least to greatest. The denominators of the fractions are 4, 3, and 2. The least common multiple of 4, 3, and 2 is 12, so you can use a denominator of 12 when you rewrite each fraction. 3 4
9 12
6 1 2 12 6 9 4 Compare the numerators: 4 6 9, so } } }. 12 12 12 3 1 1 Finally, write the original fractions in order: }3, }2 , and }4. 1 3
}5}
EXAMPLE
4 12
}5}
}5}
Abigail collected recycled products at three locations for her science fair. At her 2
1
home, }5 of the recycled products was paper, in her science classroom }3 was paper, 5
and in her father’s office }6 of it was paper. Write these fractions in order from smallest to largest. The denominators of the fractions are 5, 3, and 6. The least common multiple of 5, 3, and 6 is 30, so use 30 as a denominator when you rewrite each fraction. 12 30
1 3
10 30
}5}
5 6
25 30
}5}
1 2
5
Since 10 12 25, the original fractions written in order are }3, }5 , and }6. YOU DO IT
1
Martin collects stamps. He determined that }4 of his stamps are from Canada, 5 12
2 9
} from Mexico, and } from Europe. Write the fractions in order.
The common denominator for these fractions is
.
Rewrite each fraction using the common denominator: 5 12
1 4
}5
}5
2 9
}5
Write the original fractions in order from least to greatest:
,
2
TAKS Objective 1 TEKS 6.1.A Review
, and
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
2 5
}5}
Name ——————————————————————— TAKS
Objective 1 TEKS 6.1.A Practice
the greatest number? 2 3 5 3 3 4 9 7
}, }, }, }
2 A } 3 5 C } 9
B D
3 4 3 } 7 }
2. During the baseball season, John’s batting
average was 0.246, Martin’s was 0.255, and Mashath’s was 0.329. Which statement about these batting averages is true? 0.246 0.255 0.329
7 2 6. Martin ate } of his pizza, Gina ate } of hers, 3 8 3 5 Lauren ate }4 of hers, and Antonio ate }6 of
his. Who ate the least amount of pizza if all the pizzas were the same size?
G 0.255 0.246 0.329
F
Martin
G
Gina
H
0.329 0.246 0.255
H
Lauren
J
Antonio
J
0.329 0.255 0.246
7. Twins Terra and Serra recently visited their
3. On a recent test, Martina earned 125 points,
Jeremy earned 104 points, Pedro earned 131 points and Christina earned 129 points. Who earned the most points on this test? Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
5. Which of the following statements is true? 1 2 A 1.7 1} 1} 1.1 5 2 2 1 B 1.1 1} 1} 1.7 5 2 1 2 C 1} 1} 1.1 1.7 5 2 2 1 D 1} 1.1 1.7 1} 5 2
A Martina C
Pedro
B
Jeremy
D
Christina
4. Maria and her mother are trying to decide
which school she will attend when they move next year. She may attend South City, which will be 4.2 miles away from their new house, Greenvalley, which will be 4.7 miles away, or Hopkins, which will be 4.15 miles away. Which statement below is true about these schools? F
TAKS Objective 1 TEKS 6.1.A Practice
1. Which of the following rational numbers is
F
Date ————————————
doctor. Terra weighed 34.2 lb and Serra weighed 34.5 lb. Which weight is greater? Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value.
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Greenvalley is the closest to her house.
G Hopkins is the closest to her house. H
South City is the farthest away.
J
Hopkins is the farthest away.
6.1.A When you finish this page, you can h check off a box on your TEKS Tracker, page 1. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 1 TEKS 6.1.A Practice
3
Name ———————————————————————
TAKS Objective 1 TEKS 6.1.B Review
TAKS
Date ————————————
Objective 1 TEKS 6.1.B Review
6.1.B Generate equivalent forms of rational numbers including whole numbers, fractions, and decimals.
Rational numbers can be written in different forms. Equivalent forms all represent the same value. 12
Change a fraction to a decimal by dividing: } is the same as 12 4 5 or 2.4. 5 7
Change a decimal to a fraction by using place value: 5.7 is the same as 5} . 10 EXAMPLE
1
Maryanne’s favorite recipe calls for 2}4 c of flour. She only has a liquid measuring 1
cup marked with decimals. What is the decimal form of 2}4 ? 1
23411
9
First, change the mixed fraction 2}4 into an improper fraction: } 5 }4. 4 Then divide to determine the decimal form: 9 4 4 5 2.25 YOU DO IT
1. Maria ran a marathon in 23.45 minutes. How could she express her time as a
mixed fraction? The whole number of her time is
.
The fractional part of her time is
.
The fractional part of her time must be converted into a fraction.
So, 0.45 can be written as the fraction 45 mixed number 23
and 23.45 can be written as the
.
2. Express these fractions as decimals:
15 2
}5
3 8
6} 5 16
}5
4
TAKS Objective 1 TEKS 6.1.B Review
7 4
}5
5
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
place.
The 5 in the decimal 0.45 is in the
Name ——————————————————————— TAKS
Objective 1 TEKS 6.1.B Practice
have tickets to the school play. Which 2
decimal is equivalent to }5 ? A 2.5
B
0.2
0.4
D
4.0
2 6. Express the mixed number 12} as a decimal. 5
Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value.
.
1 2. On Friday, } of Ms. Shiu’s students will be 6
on a field trip. Which fraction is equivalent 1 6
to }? 2 7 4 H } 24 F
}
G J
4 } 18 3 } 15
3. A truck carried 0.8 tons of gravel. Which
fraction also describes the amount of gravel on the truck? 8 A } 100
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
C
12 } 15
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7. During vacation Carlos went on a 12-mile
bike trip. Which improper fraction represents the same distance? 24 2
B
} mi
1 8
C
2 24
D
} mi
D
}
the length of the classroom expressed as an improper fraction? F
17 } yd 3
G
10 } yd 3
H
} yd
15 3
J
} yd
8 3
5. Which fraction is in simplified form?
D
0
1 A } mi 12
}
B
0
4 5
B
2 4. The length of the classroom is 5} yd. What is 3
15 A } 20 11 C } 12
0
13 39 5 } 35 }
TAKS Objective 1 TEKS 6.1.B Practice
2 1. In Mr. Clark’s math class, } of the students 5
C
Date ————————————
} mi
32 20
8. Which of the following statements is true?
2 5
F
} 5 2.5
H
8}4 = 8.1
1
4 3
G
} 5 0.75
J
6}3 5 } 3
20
2
9. Which fraction is equivalent to the decimal
6.023? 23 A 6} 100 C
23
6} 10,000
23
B
6} 1000
D
Not here
6.1.B When you finish this page, you can h check off a box on your TEKS Tracker, page 1. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 1 TEKS 6.1.B Practice
5
Name ———————————————————————
TAKS Objective 1 TEKS 6.1.C Review
TAKS
Date ————————————
Objective 1 TEKS 6.1.C Review
6.1.C Use integers to represent real-life situations.
Many situations in our everyday lives can be represented with integers. Sometimes the situation must be represented by a positive integer and other times by a negative integer. Integers most often represent quantities that are more than zero or less than zero, but they can also indicate direction. Some examples that can be represented by integers are given below. An elevator moves down 3 floors: 23 Sue earned $5 for babysitting: 15 The stock market fell 20 points: 220 The balloon rose 30 feet into the air before bursting: 130 EXAMPLE
Represent each situation with an integer. Jonathan’s successful pass helped the team gain 12 yards. The word gain indicates an increase in yards, so the integer would be 12. The elevator started at floor 4, rose 2 floors then went down 4 floors. Where is the elevator located compared to its starting point? A picture will help solve this problem. Floor 6 Floor 5 Floor 4
down 4
The elevator ends 2 floors below the floor it began on, so it can be represented by 22.
Floor 3 Floor 2 Floor 1
YOU DO IT
Represent the situation below with an integer. A scuba diver was swimming 35 feet below the surface of the water. She then swam 10 feet higher. How far is she below the surface of the water now? water surface
diver swims feet higher
diver’s new depth 5 diver’s initial depth 5
6
TAKS Objective 1 TEKS 6.1.C Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
up 2
Name ——————————————————————— TAKS
Objective 1 TEKS 6.1.C Practice
5 under par? A 5 25
B
0
D
210
6. The table below shows book sales at the
local bookstore during the first 4 months of the year.
2. Which of the following situations cannot be
represented by the integer 10? F
a balloon rises 10 ft into the air
G the stock market gains 10 points H
the town lies 10 ft below sea level
J
Jon received a gift of $10
3. Edgar just returned from skiing over winter
vacation. One morning when Edgar woke up the temperature was 10 degrees below zero. If the temperature went up 7 degrees by noon, what was the new temperature? A 7°
B
27°
3°
D
23°
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
C
4. A submarine descended 300 feet below sea
level and then descended another 800 feet. Which integer describes the final depth of the submarine? F
1100 ft
G
21100 ft
H
500 ft
J
2500 ft
Month
Book Sales
January
$1150
February
$1000
March
$1220
April
$1500
TAKS Objective 1 TEKS 6.1.C Practice
1. Which integer represents a golf score of
C
Date ————————————
Between which two months could the change in book sales be represented by a negative integer? F
between January and February
G between February and March H
between March and April
J
between January and April
7. A company produced 5000 shoelaces in
5 hours on Monday. On Tuesday it produced 5250 shoe laces in 5 hours. Write an integer to represent the change in number of shoelaces produced. Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value.
. 5. Last year Matthew spent $50 per month on
gasoline for his car. This year he is spending $75 per month. Which integer represents the change in gasoline costs each month? A 2$25 C
2$75
B D
$25 $75
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6.1.C When you finish this page, you can h check off a box on your TEKS Tracker, page 1. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 1 TEKS 6.1.C Practice
7
Name ———————————————————————
TAKS Objective 1 TEKS 6.1.D Review
TAKS 6.1.D
Date ————————————
Objective 1 TEKS 6.1.D Review
Write prime factorizations using exponents.
Recall that a prime number is a whole number greater than 1 with exactly two factors, 1 and itself. Prime factorization is when a number is written as a product of its prime factors only. A factor tree is helpful in organizing your work. For example, the factor tree below shows how to write the prime factorization of 24. Start by choosing any two factors of 24.
Finally, choose factors of 4.
Next, choose any two factors of 12.
24
24
24 12
2
2
4
3
4
3
12
2
12
2
Circle any new factors that are prime.
Circle the factor that is prime
2
Circle any prime factors. Since all factors are prime, you are done.
Finish the problem by writing 24 as 2 3 2 3 2 3 3 or 23 3 3. Write the prime factorization of 18. Complete a factor tree. 18 Choose any two factors of 18. Circle the prime factor.
9
2 3
3
Choose any two factors of 9. Circle the prime factor.
Since all factors are prime, you are done. Rewrite 18 as 2 3 3 3 3 or 2 3 32. YOU DO IT
Write the prime factorization of 20. Complete the factor tree.
Circle the prime factors.
20 2
Rewrite 20 as a product of primes 23
8
TAKS Objective 1 TEKS 6.1.D Review
3
or
.
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
EXAMPLE
Name ———————————————————————
Objective 1 TEKS 6.1.D Practice
TAKS
A 636
B
3 3 12
62
D
32 3 22
8. Which of the following numbers has the
greatest number of different prime factors? F
455
G
221
H
40
J
330
3
2. Which expression has the same value as 12 ? F
9. What number has a prime factorization of
3 3 12
32 3 52 3 2?
TAKS Objective 1 TEKS 6.1.D Practice
1. What is the prime factorization of 36?
C
Date ————————————
12
G 3 H
12 1 12 1 12
J
12 3 12 3 12
Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value.
.
3. 2 3 3 3 52 is the prime factorization of what
number?
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A 150
2
2
2
2
2
C
30
B
60
2 3
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3
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3
3
D
80
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4. Which of the following numbers can be
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
written as a product of three different prime numbers? F
45
G
24
H
125
J
105
5. Which of the following is a prime number? A 63
B
81
97
D
48
C
10. What is the prime factorization for the
number 210? F
21 3 10
G
2333537
H
6 3 35
J
15 3 14
11. What is the prime factorization of the
number 104? 6. What statement is true about the number 84? F
The number is prime.
A 2 3 52 C
23 3 13
B
22 3 26
D
Not here
G The prime factorization is 4 3 21. H
The prime factorization is 22 3 21.
J
The prime factorization is 22 3 3 3 7.
7. Which number can be written as a product of
four different prime numbers? A 16 C
210
B
54
D
350 6.1.D When you finish this page, you can h check off a box on your TEKS Tracker, page 1.
TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 1 TEKS 6.1.D Practice
9
Name ———————————————————————
TAKS Objective 1 TEKS 6.1.E Review
TAKS
Date ————————————
Objective 1 TEKS 6.1.E Review
6.1.E Identify factors of a positive integer, common factors, and the greatest common factor of a set of positive integers.
All positive integers have factors. Factors of a given integer are the numbers that can be multiplied together to produce that integer. Factorization of 12: 1 3 12 236 334
Factors of 12: 1, 2, 3, 4, 6, 12
When the factors of two or more integers are considered, it is often necessary to look at the factors they have in common, or the common factors. The largest common factor is called the greatest common factor or GCF. Factors of 12: 1, 2, 3, 4, 6, 12 Factors of 15: 1, 3, 5, 15 Common factors of 12 and 15: 1, 3 Greatest common factor of 12 and 15: 3 EXAMPLE
Marta and Jenny are making gift baskets for the school auction. They have 20 gift cards from local businesses and 15 jewelry sets. What is the greatest number of baskets they can make if each basket must contain an equal number of items?
The 15 jewelry sets could be divided up into 1, 3, 5, or 15 baskets. The common factors are 1 and 5. The greatest common factor is 5, so Marta and Jenny should divide the gift cards and jewelry sets into 5 baskets. YOU DO IT
Determine the greatest common factor for the numbers 66, 110, and 165. The factors of 66 are: ___, ___, ___, ___, ___, ___, ___, ___. The factors of 132 are: ___, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___. The factors of 99 are: ___, ___, ___, ___, ___, ___. The common factors are: ___, ___, ___. The greatest common factor is ___.
10
TAKS Objective 1 TEKS 6.1.E Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
The 20 gift cards could be divided up into 1, 2, 4, 5, 10, or 20 baskets.
Name ——————————————————————— TAKS
Objective 1 TEKS 6.1.E Practice 7. What is the greatest common factor of 112
and 80?
factor of 64? A 2
32
B
6
D
16
Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value.
2. The integers 128 and 40 have several
.
common factors. Which integer is not a common factor of 128 and 40? F
2
G
4
H
5
J
8
3. Shuja has 38 stickers he would like to share
with his friends, but he does not know how to divide them up equally. Which number below represents the number of friends that Shuja could evenly share his stickers with? A 3 C
14
B
7
D
19
4. Two rectangular children’s swimming pools
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
are going to be built so that they share one side as shown below.
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4
4
4
4
5
5
5
5
5
5
6
6
6
6
6
6
7
7
7
7
7
7
8
8
8
8
8
8
9
9
9
9
9
9
TAKS Objective 1 TEKS 6.1.E Practice
1. Which of the following integers is not a
C
Date ————————————
8. Which number has an odd number of
different factors? F
38
G
49
H
24
J
91
9. The numbers 3, 4, and 6 are factors of which
number? The area of the smaller pool must be 24 square yards and the area of the larger pool must be 44 square yards. Each side is an integer number of yards long. What is the greatest possible length of the common side?
A 18
B
90
55
D
24
C
10. Which pair of numbers has 12 as their
greatest common factor?
F
2 yd
G
4 yd
F
1 and 12
G
36 and 102
H
6 yd
J
8 yd
H
76 and 144
J
180 and 408
5. 16 is the greatest common factor for which
set of numbers? A 4, 2, 1 C
8, 4, 2, 1
B
32, 48
D
40, 64
6. What are the factors of 56? F
1, 2, 4, 7, 8, 14, 28, 56
G 1, 3, 4, 7, 8 H
2, 4, 6, 9, 13
J
3, 6, 7, 8, 28
TAKS Objectives Review and Practice Grade 6 TAKS Test
6.1.E When you finish this page, you can h check off a box on your TEKS Tracker, page 1. TAKS Objective 1 TEKS 6.1.E Practice
11
Name ———————————————————————
TAKS Objective 1 TEKS 6.2.A Review
TAKS
Date ————————————
Objective 1 TEKS 6.2.A Review
6.2.A Model addition and subtraction situations involving fractions with objects, pictures, words, and numbers.
You can use pictures to help you add and subtract fractions. EXAMPLE
3
1
Brianna needs }4 cup peanuts for one kind of trail mix and }6 cup for another kind. How many cups of peanuts does she need in all? 3
1
First, find the least common denominator of }4 and }6 , which is 12. Next, draw a rectangle with 12 equal-sized sections. 3
9
1
2
Shade }4 5 } of the rectangle and then shade }6 5 } of the rectangle. 12 12
3 9 4 12 1 2 1 }6 5 } 12 11 } 12
}5}
11
YOU DO IT
1
2
Matt ate }6 of the pizza and Jim ate }3 of the pizza. Divide the circle below into sections to represent the pizza. Shade the portions that Matt and Jim ate.
What fraction of the pizza did the boys eat all together? ___
12
TAKS Objective 1 TEKS 6.2.A Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Brianna needs } cup peanuts all together. 12
Name ——————————————————————— TAKS
Date ————————————
Objective 1 TEKS 6.2.A Practice
strip below represents 1 yard of ribbon. Which strip is shaded to show the total amount of ribbon that Jennifer needs?
4. The shaded part of each circle represents
what is left behind. Which drawing 1 represents 1 2 }4 ? F
G
H
J
A
TAKS Objective 1 TEKS 6.2.A Practice
1 1. Jennifer needs } yard of ribbon for one 4 3 } project and 8 yard for another project. Each
B C D
2 1 2. Which square shows } 1 } shaded? 9 3 F
G
1 5. Miguel painted } of a fence and Tyler 6 1 } painted 3 . Each strip represents the total
fence. Which strip is shaded to represent the total amount of the fence that was painted? A
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
H
J B
3. Yolanda is sewing triangles onto squares
of fabric. The shaded parts of the drawings represent the triangles she has sewn on so far.
C D
What fraction of the two squares still needs triangles? 3 A } 8
B
1 2
}
C
3 4
}
5 D } 8
6.2.A When you finish this page, you can h check off a box on your TEKS Tracker, page 1. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 1 TEKS 6.2.A Practice
13
Name ———————————————————————
TAKS Objective 1 TEKS 6.2.B Review
TAKS
Date ————————————
Objective 1 TEKS 6.2.B Review
6.2.B Use addition and subtraction to solve problems involving fractions and decimals.
You can add and subtract decimals in much the same way as you add and subtract whole numbers. Step 1
Step 2
Step 3
First, line up the decimal points.
If necessary, add zeros to make the number of digits the same.
Complete the computaton.
23.7 1 16.42
23.70 1 16.42
23.70 1 16.42 40.12
EXAMPLE
11
A biologist measured the weight of two Western Harvest mice. One weighed 16 grams. The other weighed 14.25 grams. What was the difference in weight between the two mice? Line up the decimal points. 5 910
Add zeros after the decimal point to the same place value.
16.00 214.25 1.75
Subtract the smaller number from the larger number.
YOU DO IT
A park naturalist measured a Texas Spotted Whiptail lizard. The head and body section was 2.45 inches long. The tail was 7.4 inches long. What was the total length of the lizard?
+
1
+ +
The total length of the lizard was
14
TAKS Objective 1 TEKS 6.2.B Review
in.
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
The difference in weight is 1.75 grams.
Name ——————————————————————— TAKS
Objective 1 TEKS 6.2.B Practice
apples. How many pounds of fruit did she buy in all? 3 A 6} 4 11 B 6} 12 1 C 7} 12 1 D 7} 2
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
A 367.3 B
850.3
C
1245.3
6. Theo had $119 in his bank account. He took
much longer is a bumblebee than a boxelder bug? 1 2 7 H } 8
their vacation. Then they drove 439 miles to visit some friends. How many miles did the Badilla family drive in all?
D 8502
1 2. An average bumblebee is 1} inches long. An 2 5 average boxelder bug is }8 inch long. How
}
5. The Badilla family drove 806.3 miles on
G J
out $29.95 from the account. How much was left in the account? Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value.
.
3 4
}
1 8
2}
1 1 3. Jin read } of a book the first day, } the 4 2 1 second day, and }8 the third. She finished
the book on the fourth day. What part of the book did Jin read on the fourth day? 1 A } 8 5 C } 8
TAKS Objective 1 TEKS 6.2.B Practice
1 1. Alissa bought 2} pounds of oranges, 3 1 1 3}4 pounds of bananas, and 1}2 pounds of
F
Date ————————————
B D
3 8 7 } 8 }
1 4. A small-size can holds 8} ounces of peas. 2 2 A medium-size can holds 13}3 ounces of
0
0
0
0
0
0
1
1
1
1
1
1
2
2
2
2
2
2
3
3
3
3
3
3
4
4
4
4
4
4
5
5
5
5
5
5
6
6
6
6
6
6
7
7
7
7
7
7
8
8
8
8
8
8
9
9
9
9
9
9
7. A company offers skis in three lengths:
1.70 meters, 1.85 meters, and 1.94 meters. What is the mean of these lengths? A 1.80 meters
B
1.83 meters
1.85 meters
D
5.49 meters
C
peas. How many more ounces of peas does a medium-size can hold than a small-size can? F
5
1 G 5} 6 1 H 5} 3 1 J 5} 2
TAKS Objectives Review and Practice Grade 6 TAKS Test
6.2.B When you finish this page, you can h check off a box on your TEKS Tracker, page 1. TAKS Objective 1 TEKS 6.2.B Practice
15
Name ———————————————————————
TAKS Objective 1 TEKS 6.2.C Review
TAKS
Date ————————————
Objective 1 TEKS 6.2.C Review
6.2.C Use multiplication and division of whole numbers to solve problems including situations involving equivalent ratios and rates.
You can solve a problem that includes a ratio by finding an equivalent ratio. To find an equivalent ratio, you can write the ratio as a fraction. Then multiply or divide both the numerator and denominator by the same number. 2 3
232 332
6 8
4 6
}5}5} 32 32
2 3 3 } 4
5
4 5
5
}
}
642 842
3 4
}5}5}
5
33 33
}
}
4 6 6 } 8 8 } 10
6 9 9 } 12
}
34 34
}
8 12
10 15 15 } 20 20 } 25
}
}
12 15
12 16 16 } 20
}
35 35
}
}
}
Each row of the table shows equivalent fractions. In a swimming class, 2 out of every 3 children are boys. If there are 15 children in the class how many are boys? 2 boys x boys 3 children 15 children 235 x }5} 335 15
}5}
x 5 10 YOU DO IT
In the denominator, find the number that when multiplied by 3 equals 15. Multiply the numerator by the same number. There are 10 boys in the class.
Rashid usually spells 9 out of 10 words correctly on his spelling tests. If he takes a test with 50 words on it, how many words can he expect to spell correctly? x
5
5
x5
16
Write the ratios as equivalent fractions.
TAKS Objective 1 TEKS 6.2.C Review
Write the ratios as equivalent fractions.
x
Multiply the denominator and numerator by the same number. Rashid can expect to spell
words correctly.
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
EXAMPLE
Name ——————————————————————— TAKS
Objective 1 TEKS 6.2.C Practice 5. If a 24-pack of canned juice costs $16, how
high scores on 7 math quizzes for every 8 math quizzes he took. If he takes 16 more quizzes, how many of them would be expected to have high scores?
A $4 B
$6
A 11
C
$8
B
12
C
14
D 15 2. Rachel did a survey of several students in
her school about their favorite sport. She learned that 3 out of 4 students chose soccer. If there are 200 students in the school, how many students would be expected to choose soccer? F
18
G 50 H
150
J
180
3. If a package of 20 recordable CDs costs $16,
much do 6 of the cans of juice cost?
D $9
TAKS Objective 1 TEKS 6.2.C Practice
1. During this school year, Toshiro has received
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Date ————————————
6. Brandon can walk 3 miles in 2 hours. How
many miles can he walk in 6 hours? F
4
G 9 H
12
J
18
7. A honeybee can fly 15 miles in 1 hour. How
many miles can it fly in 40 minutes? A 4 B
5
C
6
D 10
how much do 5 of the recordable CDs cost? A $4 B
$5
C
$8
D $10 4. Juanita bought some pants for $34 and
3 equally priced T-shirts. She spent a total of $82, not including tax. What was the price of each T-shirt? F
J
signed up for day camp were girls. If 25 children signed up, how many of them were girls? Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value.
. 0
0
0
0
0
0
1
1
1
1
1
1
2
2
2
2
2
2
3
3
3
3
3
3
4
4
4
4
4
4
5
5
5
5
5
5
$16
6
6
6
6
6
6
7
7
7
7
7
7
$27
8
8
8
8
8
8
9
9
9
9
9
9
$11
G $12 H
8. This year, 3 out of every 5 children who
6.2.C When you finish this page, you can h check off a box on your TEKS Tracker, page 1. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 1 TEKS 6.2.C Practice
17
Name ———————————————————————
TAKS Objective 1 TEKS 6.2.D Review
TAKS
Date ————————————
Objective 1 TEKS 6.2.D Review
6.2.D Estimate and round to approximate reasonable results and to solve problems where exact answers are not required.
When you do not need to have an exact answer to a problem, you can estimate the answer. Some Ways to Estimate Rounding
Compatible Numbers
Clustering
32.7 3 2.4
26.3 3 3.6
51 1 48 1 53 1 49
33 3 2 5 66
25 3 4 5 100
4 3 50 5 200
EXAMPLE
Ashley collected cans for recycling for four days. She collected 36 on Monday, 41 on Tuesday, 43 on Wednesday, and 37 on Thursday. About how many cans did she collect in all? 36 1 41 1 43 1 37
Write the expression.
40
Look for numbers that are close in value. Choose a compatible number.
4 3 40 5 160
Add or multiply.
Ashley collected about 160 cans. 5
1
John walked about 3}4 miles on Saturday and about 8}8 miles on Sunday. About how many more miles did he walk on Sunday than on Saturday? 1
3}4 is close to the whole number _____. 5
8}8 is close to the whole number _____.
2
5
John walked about
18
TAKS Objective 1 TEKS 6.2.D Review
miles more on Sunday than on Saturday.
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
YOU DO IT
Name ———————————————————————
Objective 1 TEKS 6.2.D Practice
TAKS
about 18 riders in each car, about how many riders are on the ride? A 50
300
B
60
D
600
2. The library is moving its books into a new
building. The table shows the number of books of each type that library workers moved to the new building on Monday. Books Moved on Monday
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
1
of beans holds about 18}2 pounds of beans, about how many buckets of beans did she pick today? A 2
B
6
8
D
10
C
6. It is 140 miles from Lubbock to Odessa and
394 miles from Lubbock to San Antonio. About how much farther is it from Lubbock to San Antonio than from Lubbock to Odessa?
Number
Biographies
25
How-to
60
Reference
108
Novels
59
H
400 miles
Short Story Anthologies
62
J
500 miles
F
30
G
200
H
300
J
400
3. Diego had $399.67 in his bank account. He
took out $20.45. About how much does he have left in his account? A $38
$370
B
$280
D
$380
4. Four friends ate lunch together at a cafe.
Their individual lunches cost $3.49, $4.13, $3.98, and $4.05. About how much did they spend in all? $12
H
$16
G $20
J
$24
F
Today, she picked 124 pounds. If a bucket
Type of book
Which is closest to the total number of books workers moved to the new building on Monday?
C
5. Jessica picked beans in the field this summer.
TAKS Objective 1 TEKS 6.2.D Practice
1. If there are 32 cars in an amusement ride and
C
Date ————————————
F
200 miles
G 300 miles
7. If a factory can produce 211 bicycles in
1 month, about how many can it produce in 1 year? A 240 B
1400
C
2400
D 6000
3 8. Ling is cutting 2 lengths of about 3} feet 4
each from a 10-foot-long board to make book shelves. About how much of the board will be left over? F
2 ft
G
4 ft
H
6 ft
J
8 ft
6.2.D When you finish this page, you can h check off a box on your TEKS Tracker, page 1. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 1 TEKS 6.2.D Practice
19
Name ———————————————————————
Objective 1 Mixed Review
TAKS Objective 1 Mixed Review
TAKS
1. The table below shows the number of
baseball cards Stella owned during a three-month period.
5. Which is the prime factorization of 78? (6.1.D)
A 22 + 3 + 7
Month
Baseball cards
B
4 + 17
July
190
C
2 + 39
August
230
September
180
Which integer represents the change in the number of baseball cards from August to September? (6.1.C) A 250 C
Date ————————————
40
B
240
D
50
2. Brian baked two loaves of bread. His family
ate part of each loaf. The shaded parts in the drawings represent how much of the loaves of bread were left.
D 2 + 3 + 13 6. If your school has 600 students and 2 out of
5 students play soccer, how many students play soccer? (6.2.C) F
160
G
200
H
240
J
280
7. Which mixed fraction is equivalent to the 45 improper fraction } ? (6.1.B) 7 1 4 A 45} B 5} 7 7 3 4 C 7} D 6} 7 9
What portion of the loaves was eaten? (6.2.A)
2 5 1 H } 3 F
}
G J
3 5 1 } 2 }
3. Which of the following statements is true? (6.1.A)
1 1 A 5 4.9 5} 4} 4 9 1 1 B 5} 5 4.9 4} 4 9 1 1 C 4.9 4} 5} 5 9 4 1 1 D 4} 4.9 5 5} 9 4
common factor? (6.1.E) F
15 and 60
G
24 and 36
H
30 and 84
J
36 and 72
9. You are planning a day at an amusement
park. You have $30 to spend on the day. You need to cover your expenses for transportation, admission to the park, and food. Bus transportation will cost $1.25 each way. An admission ticket for unlimited rides costs $17. How much will you have for food? (6.2.B) A $8.75 C
$10.50
B
$9.25
D
$11.75
4. If a person spends about 12 hours on
homework a week, about how much time would be spent on homework over a school year that is 36 weeks long? (6.2.D)
20
F
200 hours
G
400 hours
H
2000 hours
J
4000 hours
TAKS Objective 1 Mixed Review
When you finish this page, you can check off h a box on your TEKS Tracker, page 1. TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
8. Which pair of numbers has 6 as their greatest
Name ——————————————————————— TAKS
Date ————————————
Objective 2 TEKS Tracker
As you complete the review and practice pages for TAKS Objective 2, check off the boxes next to the TEKS you have covered below.
Objective 2 The student will demonstrate an understanding of patterns, relationships, and algebraic reasoning. Pages
TEKS Patterns, relationships, and algebraic thinking. The student solves problems involving direct proportional relationships. The student is expected to: 6.3.A
use ratios to describe proportional situations
24–25
h h
6.3.B
represent ratios and percents with concrete models, fractions, and decimals
26–27
h
6.3.C
use ratios to make predictions in proportional situations
6.4
Patterns, relationships, and algebraic thinking. The student uses letters as variables in mathematical expressions to describe how one quantity changes when a related quantity changes. The student is expected to:
28–29
h
6.4.A
use tables and symbols to represent and describe proportional and other relationships such as those involving conversions, arithmetic sequences (with a constant rate of change), perimeter and area
30–31
h
6.4.B
use tables of data to generate formulas representing relationships involving perimeter, area, volume of a rectangular prism, etc.
32–33
6.5
Patterns, relationships, and algebraic thinking. The student uses letters to represent an unknown in an equation. The student is expected to formulate equations from problem situations described by linear relationships.
h 34
h
TAKS Objective 2 TEKS Tracker
6.3
22–23
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Tracker
Objective 2 Mixed Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 2 TEKS Tracker
21
Name ——————————————————————— TAKS 6.3.A
Date ————————————
Objective 2 TEKS 6.3.A Review
Use ratios to describe proportional situations.
You can use a ratio to compare two numbers. You can write the ratio of the number a to the number b in three ways. a } a to b a:b b
TAKS Objective 2 TEKS 6.3.A Review
For example, consider a swimming class with 7 girls and 9 boys. The ratio of girls to boys and the ratio of boys to girls are shown below. ratio of girls to boys 7 to 9 7:9
ratio of boys to girls 9 to 7 9:7
7 9
}
9 7
}
EXAMPLE
Josh builds model railroads. He has 10 passenger cars and 8 freight cars. What is the ratio of passenger cars to freight cars? }}
10 passenger cars 8 freight cars
You can write 10 to 8, 10:8, or } . 8
10 8
Write the ratio in simplest form.
5 4
}5}
10
5
YOU DO IT
A landscaper is planting 26 tulips. Fourteen of the tulips are red. What is the ratio of red tulips to the total number of tulips? Number of red tulips Total number of tulips
Write in simplest form. 13 The ratio of red tulips to total number of tulips is
22
TAKS Objective 2 TEKS 6.3.A Review
.
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
The ratio of passenger cars to freight cars is }4 , or 5 to 4, or 5:4.
Name ——————————————————————— TAKS
Objective 2 TEKS 6.3.A Practice
1. The school chorus has 15 sopranos and
40 tenors. What is the ratio of sopranos to tenors? A 1 to 3
B
3 to 8
5 to 8
D
8 to 3
C
Date ————————————
6. Kayla counted the number of animals
drinking from the river one night. She counted 6 elephants and 39 zebras. What was the ratio of elephants to zebras? F
1:6
G
2:13
H
6:1
J
13:2
2. A nursery has 36 maple trees and 16 elm
trees. What is the ratio of maple trees to elm trees? }
G J
4 9 9 } 4 }
3. There are 12 rides at the amusement park
and 48 riders. Which ratio compares the number of riders to the number of rides? A 1:4
B
3:12
4:1
D
12:48
C
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
4. There are 60 students in the sixth grade at
Brown Middle School. There are 36 sixth grade girls. What is the ratio of sixth grade girls to the total number of sixth grade students? F
1 to 6
G
3 to 5
H
5 to 3
J
5 to 1
5. The ratio of mammals to birds in the zoo
a survey point was 5 to 2. Which of these shows the possible number of cars and trucks counted in the survey? A 25 cars, 4 trucks B
24 cars, 60 trucks
C
35 cars, 7 trucks
D 60 cars, 24 trucks 8. A recipe for punch calls for 0.5 cup of
mango juice and 5 cups of orange juice. What is the ratio of mango juice to orange juice? 1 10 0.5 H } 1 F
}
G J
1 2 10 } 1 }
9. Carlos receives an average of 24 e-mail
messages per day but 16 of them are spam. What is the ratio of spam to non-spam messages?
is 3 to 4. Which of these shows possible numbers of mammals and birds in the zoo?
A 2 to 5
B
2 to 3
A 21 mammals, 42 birds
C
3 to 2
D
2 to 1
B
36 mammals, 48 birds
C
42 mammals, 21 birds
TAKS Objective 2 TEKS 6.3.A Practice
2 9 9 H }` 2 F
7. The ratio of cars to trucks passing through
D 48 mammals, 36 birds
6.3.A When you finish this page, you can h check off a box on your TEKS Tracker, page 21. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 2 TEKS 6.3.A Practice
23
Name ——————————————————————— TAKS 6.3.B
Date ————————————
Objective 2 TEKS 6.3.B Review
Represent ratios and percents with concrete models, fractions, and decimals.
A percent is a special ratio that compares a number to 100. 25 out of 100 Ratio
Fraction
EXAMPLE
25 100
12 100 3 12 }5} 100 25
YOU DO IT
0.25
25%
Model
What is 12% as a fraction in lowest terms? }
EXAMPLE
1 4
}5}
Percent
12% means 12 out of 100. Use 100 as the denominator. Write the fraction in lowest terms.
What is 12% written as a decimal? }
12 100
12% means 12 out of 100, or 12 4 100.
12.
Write as a whole number. Add a decimal point.
0.12
To divide by 100, move the decimal point 2 places to the left and write 0.
Of the fish living in Avery Pond, 38% are sunfish. 1. What fraction of the fish in Avery Pond are sunfish?
5
Write as a fraction with 100 in the denominator. Then write in lowest terms.
2. What is 38% written as a decimal?
38.
Write as a whole number with a decimal point. Move the decimal point 2 places to the left. Write 0 to the left of the decimal.
24
TAKS Objective 2 TEKS 6.3.B Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
TAKS Objective 2 TEKS 6.3.B Review
25:100 5 1:4
Decimal
Name ——————————————————————— TAKS
Objective 2 TEKS 6.3.B Practice
1. Each figure below is divided into sections
5. At Appleton Middle School, 48% of the
of equal size. Which figure has 62.5% of its total area shaded?
students ride a bus to school. What fraction of the students rides a bus to school?
A
12 A } 25
B
}
25 13
D
}
B
C
}
13 25 25 12
6. At summer camp, 85% of the campers
D
signed up for hiking. What decimal represents the percent of campers who did not sign up for hiking?
magazine printed 16% of the stories. What fraction of the stories did the magazine print? 1 16 2 H } 5 F
}
G
Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value.
.
4 25 8 } 5
}
0
0
0
0
0
0
1
1
1
1
1
1
2
2
2
2
2
2
3
3
3
3
3
3
4
4
4
4
4
4
5
5
5
5
5
5
6
6
6
6
6
6
favorite of }5 of the customers. What percent
7
7
7
7
7
7
of the customers said whole-wheat crunch was their favorite bread?
8
8
8
8
8
8
9
9
9
9
9
9
J
3. A bakery asked its customers to name their
favorite bread. Whole-wheat crunch was the 3
A 4% C
40%
B
6%
D
60%
4. The circle is divided into sections of equal
size. What percent of the circle is shaded?
7. In a store, 22% of the shelf space in one aisle
is used to display bottled waters. What fraction of the shelf space does this represent?
1.2%
G
8.3%
H
83.3%
J
120%
1 5
1 A } 22
B
}
11 50
D
}
C
F
TAKS Objective 1 TEKS 6.3.B Practice
C
2. A magazine held a short story contest. The
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Date ————————————
}
2 9
6.3.B When you finish this page, you can h check off a box on your TEKS Tracker, page 21. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 2 TEKS 6.3.B Practice
25
Name ——————————————————————— TAKS 6.3.C
Date ————————————
Objective 2 TEKS 6.3.C Review
Use ratios to make predictions in proportional situations.
To solve a problem related to ratios, you can use a proportion. A proportion states that two ratios are equal. 1 2
3 6
}5}
1 2
x 6
}5}
1 2
3
}5} x
A proportion has cross products that are equal. 1 2
3 6
}5}
TAKS Objective 2 TEKS 6.3.C Review
2335136 656 You can use cross products to solve a proportion. EXAMPLE
Michael practices playing guitar 2 hours every 3 days. About how many hours does he practice in 22 days? 2 3
x 22
}5}
Write a proportion.
3x 5 44
Compute cross products.
}5}
3x 3
Divide each side by 3.
x ø 14.7
Simplify.
44 3
YOU DO IT
The ratio of apples to oranges in the vending machine is about 5 to 3. If there are 30 apples, about how many oranges are there? Write a proportion. 5
x
5
Compute cross products.
5
Simplify.
There are about
26
TAKS Objective 2 TEKS 6.3.C Review
Number of apples Number of oranges
}}
oranges in the vending machine.
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Michael practices for about 15 hours in 22 days.
Name ——————————————————————— TAKS
Objective 2 TEKS 6.3.C Practice
1. There must be 2 adults for every 15 students
going on a field trip. If 75 students are going on a field trip, how many adults must go? A 5 C
15
B
10
D
30
2. The ratio of pine trees to fir trees in the park
is 3 to 8. If there are 14 pine trees, about how many fir trees are there? 24
G
37
H
42
J
112
3. A car salesperson sells about 4 cars in
5 days. About how many cars will he sell in 34 days? A 14
27
B
20
D
43
7. At the computer factory, 3 out of a batch of
16 computers it produced were defective. If this rate is true for all of the computers the factory produces, how many defective computers would you expect in a batch of 96? A 6 C
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
H
120
G J
D
48
4 cups salt to every 3 cups flour. If Elena uses 12 cups of salt, how many cups of flour does she need to make the dough? Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value.
.
Today, he made 3 pots in 90 minutes. If Raj continues making pots at this rate, how many pots will he make in 4 hours? 6
18
8. A recipe for salt modeling dough calls for
4. Raj makes pots using his potter’s wheel.
F
32
B
8
0
0
0
0
0
0
1
1
1
1
1
1
2
2
2
2
2
2
3
3
3
3
3
3
4
4
4
4
4
4
5
5
5
5
5
5
6
6
6
6
6
6
7
7
7
7
7
7
8
8
8
8
8
8
9
9
9
9
9
9
TAKS Objective 2 TEKS 6.3.C Practice
F
C
Date ————————————
270 9. At a busy street intersection, a traffic analyst
5. Anna is watching a herd of sheep cross a
counted 350 cars passing in 2 hours. If the traffic continues at this rate, about how many cars would you except to pass in 9 hours?
trail in front of her. She counted 4 sheep in 12 seconds. If the sheep continue crossing at this rate, how many sheep will cross the trail in 3 minutes?
A 78
A 9
C
C
48
B
20
D
60
1575
B
350
D
3150
6. The ratio of large triangles to small triangles
in Tonisha’s design is about 4 to 9. If there are 15 small triangles, about how many large triangles are there? F
7
G
15
H
34
J
36
TAKS Objectives Review and Practice Grade 6 TAKS Test
6.3.C When you finish this page, you can h check off a box on your TEKS Tracker, page 21. TAKS Objective 2 TEKS 6.3.C Practice
27
Name ——————————————————————— TAKS
Date ————————————
Objective 2 TEKS 6.4.A Review
6.4.A Use tables and symbols to represent and describe proportional and other relationships such as those involving conversions, arithmetic sequences (with a constant rate of change), perimeter and area.
You can use an algebraic expression to describe how one quantity changes when a related quantity changes. For example, the number of miles, m, she walks.
When a relationship is shown in a table, look for a pattern to find the relationship. EXAMPLE
The table below shows a relationship between x and y values. What algebraic expression can be used to represent the y values in terms of the x values? x
2
3
4
5
y
5
6
7
8
Look for a pattern.
Try adding 3 to x:
What needs to be done to the x value in each pair to equal the y value?
2 1 3 5 5, 3 1 3 5 6, 4 1 3 5 7, 5 1 3 5 8
The algebraic expression that can be used to represent the y values in terms of the x values is x 1 3. YOU DO IT
The table below shows Nida’s hourly wage and Kevin’s hourly wage over four years. Nida’s Wage, x
Kevin’s Wage, y
$15.00
$7.50
$16.00
$8.00
$17.00
$8.50
$18.00
$9.00
Circle the expression that best represents Kevin’s hourly wage in terms of Nida’s hourly wage. x32
28
TAKS Objective 2 TEKS 6.4.A Review
x42
x19
x29
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
TAKS Objective 2 TEKS 6.4.A Review
Megan walks 20 minutes to go 1 mile. Megan walks 40 minutes to go 2 miles. If Megan walks m 3 20 minutes, she will go m miles.
Name ——————————————————————— TAKS
Objective 2 TEKS 6.4.A Practice
1. The world’s fastest caterpillar is the
Mother-of-Pearl. The table shows the time and distance that one of these caterpillars can travel.
4. Which expression best represents the y
values in terms of the x values? x
12
14
16
18
20
y
6
7
8
9
10
Time, x (sec)
Distance, y (in.)
2
30
F
y22
G
x22
3
45
H
x42
J
y42
4
60
5
90
A y 2 15
B
y 1 15
x 1 15
D
15x
5. The world’s fastest growing plant is the
bamboo. The table shows the age of a bamboo and its height. Age, d (days)
Height, h (ft)
1
3
3
9
6
18
9
27
2. The table shows Sarah’s age and Jose’s age
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
over four years. Sarah’s Age, x
Jose’s Age, y
11
6
12
7
13
8
14
9
Which expression best represents the height of a bamboo in terms of age? A d13
B
3d
32d
D
d23
C
6. Justin saves spare coins in a jar to use to buy
F
x25
G
5y
DVDs. There are 2 quarters in the jar for every 5 dimes. There are 25 dimes in the jar. Which proportion can be used to find q, the number of quarters in the jar?
H
x15
J
y25
F
Which expression best represents Jose’s age in terms of Sarah’s age?
3. Latisha is planning snacks for 46 people.
She will pop popcorn. A 32-ounce bag of popcorn kernels produces 27 servings. Which proportion can be used to find x, the number of ounces of kernels Latisha will need? x 27 A }5} 46 32 32 x C }5} 46 27
B
27 46 } x 5} 32
D
}5} x
27 32
46
TAKS Objective 2 TEKS 6.4.A Practice
Which expression best represents the distance in terms of time?
C
Date ————————————
q 5 25 2 q 2 H }5} 25 5 }5}
q 25 5 2 q 2 }5} 10 25 }5}
G J
7. Which expression best represents the y
values in terms of the x values? x
2
3
4
5
6
y
26
39
52
65
78
A x 1 13
B
x 3 13
y 2 13
D
x 4 13
C
6.4.A When you finish this page, you can h check off a box on your TEKS Tracker, page 21. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 2 TEKS 6.4.A Practice
29
Name ——————————————————————— TAKS 6.4.B
Date ————————————
Objective 2 TEKS 6.4.B Review
Use tables of data to generate formulas representing relationships involving perimeter, area, volume of a rectangular prism, etc.
You can use formulas to calculate such things as perimeter, area, and volume. You can create formulas by gathering measurements, putting the measurement data in a table, and analyzing how the data are related. The table below shows the areas of several rectangles where the lengths stay the same but the widths change. Width, w (units)
Area, A (square units)
1
6
2
12
3
18
4
24
w
?
TAKS Objective 2 TEKS 6.4.B Review
EXAMPLE
Think: What operation is done to the length and width values to find the area value? Are the area values for all the sets computed in the same way? What is the rule as an equation?
YOU DO IT
The table below shows the lengths of sides and perimeters for different squares. Length of side, s (units)
Perimeter, P (units)
3
12
4
16
5
20
6
24
s
?
Circle the formula that can be used to find the perimeter P of a square with side s. P 5 s2
30
TAKS Objective 2 TEKS 6.4.B Review
P5s14
P 5 2s
P 5 4s
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
The formula is A 5 6w.
Name ——————————————————————— TAKS
Date ————————————
Objective 2 TEKS 6.4.B Practice
1. Mei is making a square pen for her guinea
pig. She wants as large a pen as will fit in her room. She can buy lengths of boards to use as sides as shown in the table below.
3. A box factory makes the same kind of boxes
in different heights, as shown in the table below. Height, h (units)
Volume, V (units3)
Area, A (ft2)
1
6
3
9
2
8
4
16
3
18
5
25
4
24
6
36
h
?
s
?
Which formula can Mei use to find the area A of a square with a length of a side s? A A 5 3s C
A5s16
B
A5s43
D
A 5 s2
Which formula can be used to find the volume V of this kind of boxes with a height h? A V 5 6h
B
V 5 4h
V 5 3h
D
V 5 2h
C
4. Jacy measured the radius of a few different 2. The table below shows the areas of triangles
cans as shown in the table below.
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
where the base of the triangle stays the same but the height changes. Height, h (units)
Area, A (units2)
2
8
4
16
6
24
8
32
h
?
Which formula can be used to find the area A of a triangle with the same base and a height h? h
F
A 5 }2
G
A 5 2h
H
A 5 4h
J
A5} 2
TAKS Objective 1 TEKS 6.4.B Practice
Length of side, s (ft)
Radius, r (units)
Circumference, C (units)
2
12.56
3
18.84
4
25.12
5
31.40
r
?
Which formula can he use to find the circumference C with radius r? F
C 5 3.14r 2
G
C 5 6.28r
H
C 5 3.14 1 2r
J
C 5 2r 2 3.14
h2
6.4.B When you finish this page, you can h check off a box on your TEKS Tracker, page 21. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 2 TEKS 6.4.B Practice
31
Name ——————————————————————— TAKS 6.5
Date ————————————
Objective 2 TEKS 6.5 Review
Use letters to represent an unknown in an equation, and formulate equations from problem situations described by linear relationships.
To translate a problem situation into an equation: Read each phrase carefully. Look for what information is given and how the pieces of information are related. Then decide:
TAKS Objective 2 TEKS 6.5 Review
• • • •
what information is known what information is unknown what letter to use to stand for each unknown piece of information which operations are needed
EXAMPLE
The cost of renting a car is a basic fee of $20 plus $.35 for each mile driven. What equation can be used to find the total cost for different number of miles driven? $20 basic fee; $.35 for each mile
Known information
total cost; number of miles driven
Unknown information
c; m
Let c stand for the total cost. Let m stand for the number of miles driven.
multiplication; addition
Multiply 0.35 by the number of miles driven, m. Then add to find the total cost, c.
YOU DO IT
An amusement park charges $14.25 for admission and $2 for each ride. What equation can be used to find the total cost for different number of rides taken? Known information Unknown information Letters to stand for unknowns Operations The equation is:
32
TAKS Objective 2 TEKS 6.5 Review
.
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
The equation is c 5 0.35m 1 20.
Name ——————————————————————— TAKS
Objective 2 TEKS 6.5 Practice
1. The cost of renting a mountain bike is a
basic fee of $6 plus an additional $1.50 for each hour that the bike is rented. Which equation can be used to find c, the cost of renting a bike for h hours? A c 5 1.5(h 1 6) C
c 5 1.5h 1 6
B
c 5 6(h 1 1.5)
D
c 5 6h 1 1.5
2. Maria bought 3 posters at the regular price of
t 5 16.25 2 d t 5 3d 1 (3 316.25)
J
t 5 (3 3 16.25) 2 3d
going to a concert. They will pay $6 for parking their car and $9.25 for a ticket for each family member. They have 2 concert discount cards that are $2.50 each. Which equation can be used to find c, the total cost if m members of the family go? A c 5 9.25m 2 2(2.5) 1 6 B
c 5 (9.25 2 2.5)m 1 6
C
c 5 (9.25m 2 2.5) 1 6
D c 5 9.25m 1 2(2.5) 1 6 6. Mrs. Ng gave out 69 free tickets to the
students in her class. Each student received the same number of tickets. There was 1 ticket left over. Which equation can be used to find the number of tickets t that each of the s students received?
G t 5 (3 3 16.25) 2 d H
5. Some members of the Johnson family are
F
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
3. Jamal had 14 CDs. He gave 3 of his friends
each an equal number of a few of his CDs. Then Jamal bought 4 new CDs. Which equation can be used to find n, the number of CDs Jamal has now after giving away x CDs to each of his friends? A n 5 14 1 x 2 4 B
n 5 14 2 x 1 4
C
n 5 14 2 3x 1 4
TAKS Objective 2 TEKS 6.5 Practice
$16.25 each. Then she got the same discount on each poster. Which equation can be used to find t, the total price of the 3 posters with the discount, d? F
Date ————————————
t 5 (69 1 s) 2 1
G t 5 (69 2 s) 1 2 H
t 5 (69 3 s) 2 1
J
t 5 (69 2 1) 4 s
7. A small group of friends is going camping
at a state park. They will share the cost equally. The park entrance fee is $15 and the campsite fee is $18.50. If f stands for the number of friends going, which equation can be used to the find the cost c for each person?
D n 5 14 1 3x 2 4 4. David is 3 times as old as his brother, plus
4 years. Which equation can be used to find David’s age d when his brother is b years old? F
d 5 b 1 (3 + 4)
G
d 5 3b 1 4
H
d 5 3b 2 4
J
d5b14
A c 5 f(18.5 1 15) B
c 5 (18.5 2 15) 4 f
C
c 5 f 1 (18.5 1 15)
D c 5 (18.5 1 15) 4 f
6.5 When you finish this page, you can check h off a box on your TEKS Tracker, page 21.
TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 2 TEKS 6.5 Practice
33
Name ———————————————————————
Objective 2 Mixed Review
1. Tracy measured the height of a few cans
TAKS Objective 2 Mixed Review
that had the same radius and whose volumes were known. She recorded the data in a table as shown below.
4. The rectangle is divided into sections of
equal size. What percent of the rectangle is shaded? (6.3.B)
Height, h (inches)
Volume, V (inches3)
2
25.12
3
37.68
4
50.24
F
32%
G
36%
5
62.8
H
40%
J
44%
h
?
5. The table below shows how far a car that is
Which formula can she use to find the volume V of a can of this type with height h?
going 30 miles per hour would travel in a given number of minutes.
(6.4.B)
Minutes, m
Distance, d (miles)
60
30
30
15
2. The ratio of fiction to nonfiction books in the
20
10
library is about 7 to 3. If there are 353 fiction books, about how many nonfiction books are there? (6.3.C)
m
?
A V5h
3
C
V 5 3.14h2
B
V 5 3.14h
D
V 5 12.56h
3
F
125
G
150
H
175
J
200
Which expression best represents the distance d for m minutes? (6.4.A) A 2m C
30m
B D
3. For a class service project, the 6th grade
class is raising money for the zoo. They decide to sell photographs of the zoo animals. Each print costs them $.25. If they sell the prints for $1.00, which equation represents their profit p for selling x prints? (6.5)
A p 5(1 1 0.25)x
B
p 5 x 1 0.25
p 5(1 2 0.25)x
D
p 5 x 2 0.25
C
m 2 m } 30 }
6. The vowels are A, E, I, O, and U. The
consonants are the letters that are not vowels. What is the ratio of vowels to consonants in the word MATHEMATICS? (6.3.A) F
7:4
G
11:4
H
4:7
J
4:11
When you finish this page, you can check off a h box on your TEKS Tracker, page 21.
34
TAKS Objective 2 Mixed Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
TAKS
Date ————————————
Name ——————————————————————— TAKS
Date ————————————
Objective 3 TEKS Tracker
As you complete the review and practice pages for TAKS Objective 3, check off the boxes next to the TEKS you have covered below.
Objective 3 The student will demonstrate an understanding of geometry and spatial reasoning. Tracker
TEKS
6.6
Geometry and spatial reasoning. The student uses geometric vocabulary to describe angles, polygons, and circles. The student is expected to:
36–37
h
6.6.A
use angle measurements to classify angles as acute, obtuse, or right
38–39
h
6.6.B
identify relationships involving angles in triangles and quadrilaterals
40–41
h
6.6.C
describe the relationship between radius, diameter, and circumference of a circle
42–43
6.7
Geometry and spatial reasoning. The student uses coordinate geometry to identify location in two dimensions. The student is expected to locate and name points on a coordinate plane using ordered pairs of non-negative rational numbers.
44
h
Objective 3 Mixed Review
TAKS Objective 3 TEKS Tracker
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Pages
TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 3 TEKS Tracker
35
Name ——————————————————————— TAKS 6.6.A
Date ————————————
Objective 3 TEKS 6.6.A Review
Use angle measurements to classify angles as acute, right, or obtuse.
Angles can be classified by their measures.
acute angle between 0° and 90° EXAMPLE
right angle 90°
obtuse angle between 90° and 180°
The angle at each vertex of a regular hexagon is 120°. What type of angle is at each vertex of a regular hexagon?
120°
36
YOU DO IT
The angle at each vertex of a regular pentagon is 108°. What type of angle is at each vertex of a regular pentagon?
108°
TAKS Objective 3 TEKS 6.6.A Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
TAKS Objective 3 TEKS 6.6.A Review
120° is between 90° and 180°, so the angle at each vertex of a regular hexagon is obtuse.
Name ——————————————————————— TAKS
Date ————————————
Objective 3 TEKS 6.6.A Practice
1. The measure of S is given below. P
4. Three angles of a rhombus are labeled below.
Q
B 130° 50° 130°
A
C
45° R
What is the measure of A?
What type of angle is S?
Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value.
A Acute B
Obtuse
C
Right
D
S
.
D Straight 2. The angle at each vertex of a regular
0
0
0
0
0
1
1
1
1
1
1
2
2
2
2
2
2
3
3
3
3
3
3
4
4
4
4
4
4
5
5
5
5
5
5
6
6
6
6
6
6
7
7
7
7
7
7
8
8
8
8
8
8
9
9
9
9
9
9
140°
5 On a clock, which time forms a right angle
between the hour hand and the minute hand? What type of angle is at each vertex of a regular nonagon? F
Acute
G Obtuse H
Right
J
Straight
F
3:00
G 5:15 H
6:00
J
12:15
TAKS Objective 3 TEKS 6.6.A Practice
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
nonagon is 140°.
0
3. The measures of the angles between the
three petals of a flower are equal. What type of angle is formed between any two petals? A Acute
B
Obtuse
Right
D
Straight
C
6.6.A When you finish this page, you can h check off a box on your TEKS Tracker, page 35. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 3 TEKS 6.6.A Practice
37
Name ——————————————————————— TAKS 6.6.B
Date ————————————
Objective 3 TEKS 6.6.B Review
Identify relationships involving angles in triangles and quadrilaterals.
The angle measures of three different triangles are shown below. The sum of the measures of the angles of a triangle is 180°. 80° 45°
80° 1 45° 1 55° 5 180°
55°
38°
38° 1 113° 1 29° 5 180°
29° 113°
93° 41° 46°
EXAMPLE
41° 1 93° 1 46° 5 180°
A triangle has angles measuring 29° and 46°. What is the measure of the triangle’s third angle? The sum of the measures of the angles of a triangle is 180°. 29° 1 46° 1 x° 5 180° 75° 1 x 5 180° x 5 180° 2 75° x 5 105° The measure of the triangle’s third angle is 105°.
YOU DO IT
A triangle has angles measuring 23° and 121°. What is the measure of the triangle’s third angle? The sum of the measures of the angles of a triangle is 23 1 121 1
36
5
TAKS Objective 3 TEKS 6.6.B Review
.
180
The measure of the triangle’s third angle is
38
180°
36° .
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
TAKS Objective 3 TEKS 6.6.B Review
180 2 29 2 46 5 105
Name ——————————————————————— TAKS
Objective 3 TEKS 6.6.B Practice
1. A triangle has angles measuring 28° and 46°.
What is the measure of the triangle’s third angle? A 16° B
26°
C
76°
Date ————————————
5. Brianna’s front yard is in the shape of a
trapezoid. The sides of the yard form angles measuring 50°, 90°, and 90°. What is the measure of the fourth angle? Brianna’s Yard
D 106° 2. A triangle has angles measuring 39° and
102°. What is the measure of the triangle’s third angle? F
9°
G 39° H
45°
J
59°
A 130° B
120°
C
90°
D 70° 6. The sides of Dylan’s kite form angles
measuring 70°, 95°, and 100°. What is the measure of the fourth angle? Dylan’s Kite 1008
A 155°
C
75°
?
958 708
D 35° 4. A quadrilateral has angles measuring 60°,
85°, and 95°. What is the measure of the quadrilateral’s fourth angle? F
60°
G 80° H J
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
100° 120°
TAKS Objective 3 TEKS 6.6.B Practice
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
45°, and 140°. What is the measure of the quadrilateral’s fourth angle?
135°
508
908
3. A quadrilateral has angles measuring 40°,
B
?
908
. 0
0
0
0
0
0
1
1
1
1
1
1
2
2
2
2
2
2
3
3
3
3
3
3
4
4
4
4
4
4
5
5
5
5
5
5
6
6
6
6
6
6
7
7
7
7
7
7
8
8
8
8
8
8
9
9
9
9
9
9
6.6.B When you finish this page, you can h check off a box on your TEKS Tracker, page 35. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 3 TEKS 6.6.B Practice
39
Name ——————————————————————— TAKS
Date ————————————
Objective 3 TEKS 6.6.C Review
6.6.C Describe the relationship between radius, diameter, and circumference of a circle.
A radius is the distance from the center to any point on the circle. The radius of the circle is r.
r
A diameter is the distance across the circle through its center. The diameter of the circle is d. A diameter is 2 times the length of a radius. d
Circumference is the distance around a circle. Pi is the ratio of a circle’s circumference C to its diameter d. C
C 5 :d 5 2:r c d
:5}
r
A circle with center O is shown here. Which line segment is 2 times the length of radius OB?
A B
OB is a radius of circle O. AC is a diameter of circle O, so AC is 2 times the length of radius OB. O
YOU DO IT
A circle with center O is shown here. Which line segment is 2 times the length of OC? OC is a
of circle O.
D
C
A
B
is a diameter
of circle O, so BD is 2 times the length of OC.
O
D
40
TAKS Objective 3 TEKS 6.6.C Review
C
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
TAKS Objective 3 TEKS 6.6.C Review
EXAMPLE
d
Name ——————————————————————— TAKS
Date ————————————
Objective 3 TEKS 6.6.C Practice
1. A circle with center O is shown below.
3. Olivia knows the radius of the softball
pitcher’s mound at her school is 8 feet. F G
What is the circumference of the pitcher’s mound? Use 3.14 for :. Round your answer to the nearest tenth. Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value.
O
H
. J
1
Which line segment is }2 the length of diameter FJ? A Segment GH B
Segment OG
C
Segment FG
0
0
0
0
0
0
1
1
1
1
1
1
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2
2
2
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2
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5
5
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6
7
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7
7
7
7
8
8
8
8
8
8
9
9
9
9
9
9
D Segment HJ
2. A circle with center O is shown below.
To the nearest inch, what is the radius of the circle? F
L
O U
1
G 2 H
10
J
15
TAKS Objective 3 TEKS 6.6.C Practice
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
4 The circumference of a circle is 7.5 inches.
N M
1
Which line segment is }2 the length of diameter LN? F
Segment LM
G Segment LU H
Segment UM
J
Segment OM 6.6.C When you finish this page, you can h check off a box on your TEKS Tracker, page 35.
TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 3 TEKS 6.6.C Practice
41
Name ——————————————————————— TAKS 6.7
Date ————————————
Objective 3 TEKS 6.7 Review
Geometry and spatial reasoning. The student uses coordinate geometry to identify location in two dimensions. The student is expected to locate and name points on a coordinate plane using ordered pairs of non-negative rational numbers.
An ordered pair (x, y) gives the coordinates of the location of a point. The ordered pair (0, 0) gives the location of the origin, O. To identify the location of point A, start at the origin. Go right 4 units, then go up 2 units. Point A is located at (4, 2).
y 4 3 2 1
A
24 23 22 21 O 21 22 23 24
EXAMPLE
What are the coordinates of point B?
1 2 3 4 x
y
B
4
Start at the origin. 2
Go right 5 units, then go up 4 units. Point B is located at (5, 4).
2
4
2
O
x
TAKS Objective 3 TEKS 6.7 Review
4
YOU DO IT
What are the coordinates of point C? Start at the Go right Go
TAKS Objective 3 TEKS 6.7 Review
C
4
.
2
units. 4
5 units.
Point C is located at
42
y
.
2
O
2
4 x
2
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
2
Name ———————————————————————
Date ————————————
Objective 3 TEKS 6.7 Practice
TAKS
1. Which ordered pair represents a point
3. What is the y-coordinate of point D shown
located inside both the triangle and the square?
below?
20 y
18
18
16
16
14
14
12
12
10
10
20 y
A B
D
8
8
6
6
4
4
2
C
2 O
2
4
6
8
10
12
14
16
x 18 20
A (10, 11) B
(13, 13)
C
(5, 9)
4
6
8
10
12
14
16
x 18 20
A 6 B
8.5
C
9
D 15
D (7, 15)
4 Sheila drew the quadrilateral below
2. Which ordered pair represents a point located
10
inside both the triangle and the circle?
y
8 20 y
6
18
4
16
2
14 O
12 10
6
F
4
6
8
x 10
(2, 1.5)
G (3, 5)
2
F
4
Which ordered pair is not a vertex of the quadrilateral?
8
O
2
TAKS Objective 3 TEKS 6.7 Practice
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
2
O
2
4
6
8
10
12
14
16
x 18 20
H
(6, 3.5)
J
(8, 7)
(13, 8)
G (13, 13) H
(7, 9)
J
(9, 4)
TAKS Objectives Review and Practice Grade 6 TAKS Test
6.7 When you finish this page, you can check h off a box on your TEKS Tracker, page 35. TAKS Objective 3 TEKS 6.7 Practice
43
Name ———————————————————————
Date ————————————
Objective 3 Mixed Review
TAKS
1. Ashley’s dog is tied to a stake in her yard.
The dog can move in a circular area around the stake. The figure below models the circumference and diameter of the circular area.
3. The four angles of a quadrilateral are shown
below. B 958 A 958 D
d
1128
588
C
What type of angle is shown at vertex D? (6.6.A)
A Acute
If the circumference of the circle is 94 feet, which method can be used to find the diameter? (6.6.C)
B
Obtuse
C
Straight
D Right
A Multiply 94 times : 4. A triangle has angles measuring 45° and 57°.
Divide 94 by 2:
C
Multiply 94 times 2:
What is the measure of the triangle’s third angle? (6.6.B)
TAKS Objective 3 Mixed Review
D Divide 94 by :
F
2. Which point on the grid below corresponds
to the coordinate pair 1 18, 5}2 2 ? (6.7) 1
78°
G 48° H
35°
J
18°
20 y 18
5. A quadrilateral has angles measuring 52°,
F
67°, and 99°. What is the measure of the quadrilateral’s fourth angle? (6.6.B)
16
E
14 12
A 82°
10
B
102°
C
122°
8 6
G
4
H
2 2
O
F
D 142°
4
6
8
10
12
14
16
x 18 20
E
G F
44
H
G
J
H
TAKS Objective 3 Mixed Review
When you finish this page, you can check off h a box on your TEKS Tracker, page 35. TAKS Objectives Review and Practice Grade 6 TAKS Test
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B
Name ——————————————————————— TAKS
Date ————————————
Objective 4 TEKS Tracker
As you complete the review and practice pages for TAKS Objective 4, check off the boxes next to the TEKS you have covered below.
Objective 4 The student will demonstrate an understanding of the concepts and uses of measurement. Pages
TEKS
Tracker
Measurement. The student solves application problems involving estimation and measurement of length, area, time, temperature, volume, weight, and angles. The student is expected to:
46–47
h
6.8.A
estimate measurements (including circumference) and evaluate reasonableness of results
48–49
h
6.8.B
select and use appropriate units, tools, or formulas to measure and to solve problems involving length (including perimeter), area, time, temperature, volume, and weight
50–51
6.8.C
measure angles
52–53
h h
6.8.D
convert measures within the same measurement system (customary and metric) based on relationships between units
54
h
Objective 4 Mixed Review
TAKS Objective 4 TEKS Tracker
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
6.8
TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 4 TEKS Tracker
45
Name ——————————————————————— TAKS
Date ————————————
Objective 4 TEKS 6.8.A Review
6.8.A Estimate measurements (including circumference) and evaluate reasonableness of results.
There are several different methods of estimation. One of the most common methods is rounding. After you have found an estimated answer, it is important to check your answer for reasonableness. EXAMPLE
Anthony measures the length, width, and height of a popular cereal box. He wants to find the volume of the box. Volume 5 length + width + height
29.7 cm 6.9 cm
20.2 cm
Round each decimal to the nearest whole number, then multiply. V 5 20 + 7 + 30 The volume of the cereal box is about 4200 cm3.
YOU DO IT
1. Estimate the volume of the figure. Use the lines below to show your work. Is
your estimate reasonable? Explain. 5.1 m
7.9 m
TAKS Objective 4 TEKS 6.8.A Review
9.7 m
46
2. A circular Ferris wheel has a diameter of 29.6 feet. Estimate the circumference
of the Ferris wheel. Use the lines below to show your work.
TAKS Objective 4 TEKS 6.8.A Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
The answer is reasonable because it is close to the actual volume of the box, which is just over 4139 cm3.
Name ——————————————————————— TAKS
Objective 4 TEKS 6.8.A Practice
1. Anna’s class left school for a field trip at
7:56 A.M. They returned to school at 3:09 P.M. About how many hours elapsed from the time Anna’s class left school to the time they returned to school? A 9h
B
8h
7h
D
6h
C
Date ————————————
4. John is helping his family plan for a
barbecue. He estimates that each person will eat about 6 ounces of chicken. John expects 16 people at the barbecue, and he does not want to run out of food. About how many pounds of chicken should John order? F
8 lb
G
5 lb
H
4 lb
J
2 lb
2. Jacob has a circular driveway at his home.
The diameter of the driveway is 50 feet.
5. Sophia wants to find the area of her bedroom 7 floor. She finds the length to be 11 }8 feet 13 and the width to be 8 } feet. Using 16
rounding, about how many square feet is Sophia’s bedroom?
50 feet
Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value. What is the best estimate of the circumference of the driveway?
H
100 ft
G
200 ft
J
150 ft 300 ft
3. One type of tomato plant covers an area of
2 square feet. About how many tomato plants can be planted in the rectangular section of a garden shown below?
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6. The outdoor track at Madison’s school is 4.2 ft
6.8 ft
A 14
B
21
25
D
28
C
0.21 miles long. If Madison wants to run about 2 miles, how many times will she need to go around the track? F
3 times
G
4 times
H
6 times
J
10 times
6.8.A When you finish this page, you can h check off a box on your TEKS Tracker, page 45. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 4 TEKS 6.8.A Practice
TAKS Objective 4 TEKS 6.8.A Practice
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
F
. 0
47
Name ——————————————————————— TAKS 6.8.B
Date ————————————
Objective 4 TEKS 6.8.B Review
Select and use appropriate units, tools, or formulas to measure and to solve problems involving length (including perimeter), area, time, temperature, volume, and weight.
The metric system is the main system of measurement worldwide. The basic units for length, capacity, and mass are shown. Length
Capacity
Mass
meter (m)
liter (L)
gram (g)
The customary system of measurement is the main system of measurement in the United States. Unlike the metric system, the customary system does not use a basic unit for length, capacity, and weight. These are some common units for length, capacity, and weight: Length: inch, foot, yard, mile Capacity: fluid ounce, cup, pint, quart, gallon Weight: ounce, pound, ton John wants to find the weight of a bulldozer. Which unit of weight should he use—ounces, pounds, or tons? One ton equals 2000 pounds. Many cars weigh about 3000 pounds, but a bulldozer is many times heavier than the average car. John should use tons to describe the weight of a bulldozer. EXAMPLE
A bulldozer blade is 8.25 feet long and 3.25 feet high. What is the area of the blade? Round your answer to the nearest tenth. Area 5 length + width 5 8.25 + 3.25 ø 26.8
YOU DO IT
1. Hannah wants to find the volume of a swimming pool. Which unit of capacity
should she use—fluid ounces, quarts, or gallons?
TAKS Objective 4 TEKS 6.8.B Review
Hannah should use ________ to find the volume of the pool.
48
2. A city pool near Hannah’s house is 100 feet long, 40 feet wide, and 4 feet
deep. What is the volume of the pool? The volume of the pool is _______ ft3.
TAKS Objective 4 TEKS 6.8.B Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
EXAMPLE
Name ———————————————————————
Date ————————————
Objective 4 TEKS 6.8.B Practice
TAKS
1. Jacob went to bed at 9:45 P.M. and got up for
school at 6:50 A.M. For how long did Jacob sleep?
5. Mr. G needs to replace the bricks in a 3-foot
by 4-foot corner of his brick patio. Brick Patio
A 8 h 5 min
B
8 h 55 min
9 h 5 min
D
9 h 15 min
C
3 ft 4 ft 10 ft
2. How long is the subway ride from Union
Street to Park Street? Subway Schedule
Leave Union St.
Arrive Park St.
12:18 P.M.
12:53 P.M.
F
18 min
G
23 min
H
35 min
J
53 min
3. The temperature is 67° at 9 A.M. The
A 92°
B
82°
72°
D
52°
C
What is the area of his patio that does not need to be replaced? A 138 ft2
B
146 ft2
150 ft2
D
162 ft2
C
6. The foundation of Joshua’s house is a
rectangle. It is 18 meters long by 9 meters wide. What is the perimeter, in meters, of the foundation? Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value.
4. What is the capacity of the aquarium shown
.
below?
15 in.
13 in. 24 in.
F H
2.1 c 16.5 fl oz
G J
4 pt
0
0
0
0
0
0
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9
9
20.3 gal
6.8.B When you finish this page, you can h check off a box on your TEKS Tracker, page 45. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 4 TEKS 6.8.B Practice
TAKS Objective 4 TEKS 6.8.B Practice
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
temperature climbs 15° by 3 P.M. What is the temperature at 3 P.M.?
15 ft
49
Name ——————————————————————— TAKS
Date ————————————
Objective 4 TEKS 6.8.C Review
6.8.C Measure angles.
Protractors can be used to measure angles like the ones below. 1. Place the center point of the protractor on the vertex of the angle. 2. Adjust the protractor so that one side of the angle passes through 0 on one of the
protractor’s scales. 3. Read the same scale where it intersects the second side of the angle.
EXAMPLE
The protractor is lined up with 0 and 65 on the inner scale. The measure of the angle is 65°.
YOU DO IT
100 1 80 7 10 12 0 60 0 13 50 0
80 70 100 60 0 110 2 0 1 5 0 13
90
100 1 80 7 10 12 0 60 0 13 50 0
80 70 100 60 0 110 2 50 0 1 13
90
100 1 80 7 10 12 0 60 0 13 50 0
170 180 0 160 0 20 10 15 0 30 14 0 4
What is the measure of the angle shown to the right?
90
What is the measure of the angle shown to the right?
The measure of the angle
TAKS Objective 4 TEKS 6.8.C Review
is ____ .
170 180 0 160 0 20 10 15 0 30 14 0 4
0 and ____ on the ______ scale.
0 10 180 170 1 20 3 60 15 0 4 0 14 0 0
The protractor is lined up with
50
TAKS Objective 4 TEKS 6.8.C Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
The measure of the angle is 130°.
0 10 180 170 1 20 3 60 15 0 4 0 14 0 0
The protractor is lined up with 0 and 130 on the inner scale.
80 70 100 60 0 110 2 0 1 5 0 13
170 180 0 160 0 20 10 15 0 30 14 0 4
What is the measure of the angle shown to the right?
0 10 180 170 1 20 3 60 15 0 4 0 14 0 0
EXAMPLE
Name ———————————————————————
Date ————————————
Objective 4 TEKS 6.8.C Practice
1. Grace has a road sign near her home that
90
truss design is shown below. F
E
80 70 100 60 0 110 2 50 0 1 13
90
100 1 80 7 10 12 0 60 0 13 50 0
170 180 0 160 0 2 0 10 15 0 30 14 0 4
80 70 100 60 0 110 2 50 0 1 13
4. Sarah is studying bridge design. Part of a
100 1 80 7 10 12 0 60 0 13 50 0
170 180 0 160 0 20 10 15 0 30 14 0 4
0 10 180 170 1 20 3 60 15 0 4 0 14 0 0
reads “Steep Grade Ahead.” The grade of the road is shown below.
0 10 180 170 1 20 3 60 15 0 4 0 14 0 0
TAKS
D
What is the measure of D ? What is the grade of the road? A 10° C
160°
B
15°
D
165°
Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value.
.
2. Which angle below has the greatest
measure? C
D
A
F
E
F
AFB
G
BFC
H
CFD
J
DFE
0
0
0
0
0
1
1
1
1
1
1
2
2
2
2
2
2
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3
3
3
3
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4
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5
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6
6
7
7
7
7
7
7
8
8
8
8
8
8
9
9
9
9
9
9
5. Which angle below has a measure of 130°? C
3. Nicholas is looking for examples of real-
110 70 120 60 1 3 50 0
90
100 1 80 7 10 12 0 60 0 13 50 0
D
F
A AFB
B
AFD
EFB
D
EFD
C
E
What is the measure of the angle formed by the hour and minute hands? A 60° C
115°
B
65°
D
120°
TAKS Objectives Review and Practice Grade 6 TAKS Test
6.8.C When you finish this page, you can h check off a box on your TEKS Tracker, page 45. TAKS Objective 4 TEKS 6.8.C Practice
TAKS Objective 4 TEKS 6.8.C Practice
0 10 180 170 1 20 3 60 15 0 4 0 14 0 0
90 18000
80 70 100 60 0 110 2 50 0 1 13
170 180 0 160 0 2 0 10 15 0 30 14 0 4
A 80 70 100 60 0 110 2 50 0 1 13
0 10 180 170 1 20 3 60 15 0 4 0 14 0 0
B
world angles. He measures the angle formed by the hour hand and minute hand of his clock at 9:05 P.M.
170 180 0 160 0 20 10 15 0 30 14 0 4
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
B
0
51
Name ——————————————————————— TAKS
Date ————————————
Objective 4 TEKS 6.8.D Review
6.8.D Convert measures within the same measurement system (customary and metric) based on relationships between units.
The customary system uses fractions and mixed numbers to change units. The metric system is a decimal system of measurement, so the decimal point can be moved to the right or left when changing units. In both systems: • Multiply when changing from larger units to smaller units. • Divide when changing from smaller units to larger units. EXAMPLE
The 10,000-meter run is an Olympic event. How many kilometers is the run? A kilometer is 1000 times larger than a meter, so you should divide. 10,000 4 1000 5 10 The run is 10 kilometers.
YOU DO IT
1. Archery is also an Olympic event. Participants use a bow to shoot an arrow at
a target that is 70 meters away. In centimeters, how far away is the target? A centimeter is 100 times smaller than a meter, so you should _________.
The target is _____ centimeters away from the shooter. 1 2. The length of one lap around a school’s track is } mile. Find the length, in feet, 4
of one lap.
1
There are 5280 feet in one mile, so you should _________ }4 by 5280. 1 4
} + _____ 5 _____
TAKS Objective 4 TEKS 6.8.D Review
The length of one lap is _____ feet.
52
TAKS Objective 4 TEKS 6.8.D Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
70 + ____ 5 _____
Name ——————————————————————— TAKS
Date ————————————
Objective 4 TEKS 6.8.D Practice
1. Alexis is taking a trip to visit relatives.
The weight of the plane she is flying on is 15,000 pounds as it takes off. How many tons does the plane weigh?
5. Samantha is measuring cooking oil for a
recipe. She pours up to the line shown on the measuring cup below.
1 A 7} 2 B 7 1 C 6} 2 D 6 2. Michael attends school from 7:30 A.M. to
2:30 P.M. each weekday. How many minutes does Michael attend school each weekday? F
300 min
G 360 min H
420 min
J
480 min
CUPS 2
How many ounces of cooking oil does Samantha pour into the measuring cup? A 4 oz B
8 oz
C
12 oz
D 16 oz 6. Andrew’s dog, an Irish Wolfhound, weighs
(USDA) recommends that 9- to 13-year-olds receive 1300 milligrams of calcium each day. How many grams is this? A 0.13 g B
1.3 g
C
13 g
D 130 g 4. Sydney drinks a total of 1.5 liters of water
per day. The glass she drinks from holds 250 milliliters of water. How many glasses of water does Sydney drink per day? F
5
110 pounds. How many ounces does Andrew’s dog weigh? Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value.
. 0
0
0
0
0
0
1
1
1
1
1
1
2
2
2
2
2
2
3
3
3
3
3
3
4
4
4
4
4
4
5
5
5
5
5
5
6
6
6
6
6
6
7
7
7
7
7
7
8
8
8
8
8
8
9
9
9
9
9
9
G 6 H
8
J
10
6.8.D When you finish this page, you can h check off a box on your TEKS Tracker, page 45. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 4 TEKS 6.8.D Practice
TAKS Objective 4 TEKS 6.8.D Practice
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
3. The United States Department of Agriculture
53
Name ——————————————————————— TAKS
Date ————————————
Objective 4 Mixed Review
1. Which is the best estimate for the measure of
AFB below? (6.8.C)
4. Emily is making a cube-shaped storage box
in woodworking class.
C
B
15 cm D 15 cm 15 cm
A
F
E
What is the volume of the box? (6.8.B) A 110° C
70°
B
90°
D
40°
2. The smoke detectors in Matthew’s house
have a diameter of 6 inches. (6.8.A)
F
3375 cm3
G 2375 cm3 H
225 cm3
J
45 cm3
5. William is having a fence installed in his
backyard. The fenced-in area is in the shape of a rectangle. 6 inches
18 ft
What is the best estimate for the circumference of the smoke detectors? (6.8.A) F
What is the perimeter of the fencing? (6.8.B)
12 in.
A 100 ft
G 18 in. H
30 in.
J
36 in.
C
TAKS Objective 4 Mixed Review
mountain in the United States. Its height is 20,320 feet. About how many miles high is Mount McKinley? Round your answer to the nearest tenth. (6.8.D)
C
10.2 mi
92 ft
D
46 ft
6. Emma is working on a science experiment
3. Mount McKinley in Alaska is the highest
A 3.8 mi
74 ft
B
B
7.5 mi
D
11.5 mi
at home. She leaves several containers of water outside her house overnight. The water is frozen when she checks in the morning. Which is the best estimate for the overnight temperature? (6.8.A) F
30° C
G
20° C
H
10° C
J
0° C
When you finish this page, you can check off h a box on your TEKS Tracker, page 45.
54
TAKS Objective 4 Mixed Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
28 ft
Name ——————————————————————— TAKS
Date ————————————
Objective 5 TEKS Tracker TAKS Objective 5 TEKS Tracker
As you complete the review and practice pages for TAKS Objective 5, check off the boxes next to the TEKS you have covered below.
Objective 5 The student will demonstrate an understanding of probability and statistics. Pages
Tracker
TEKS
6.9
Probability and Statistics. The student uses experimental and theoretical probability to make predictions. The student is expected to:
56–57
h
6.9.A
construct sample spaces using lists and tree diagrams
58–59
h
6.9.B
find the probabilities of a simple event and its complement and describe the relationship between the two
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
6.10
Probability and statistics. The student uses statistical representations to analyze data. The student is expected to:
60–61
h
6.10.A
select and use an appropriate representation for presenting and displaying different graphical representations of the same data including line plot, line graph, bar graph, and stem and leaf plot
62–63
h
6.10.B
identify mean (using concrete objects and pictorial models), median, mode, and range of a set of data
64–65
6.10.C
sketch circle graphs to display data
66–67
h h
6.10.D
solve problems by collecting, organizing, displaying, and interpreting data
68
h
Objective 5 Mixed Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 5 TEKS Tracker
55
Name ———————————————————————
TAKS Objective 5 TEKS 6.9.A Review
TAKS
Date ————————————
Objective 5 TEKS 6.9.A Review
6.9.A Construct sample spaces using lists, tree diagrams, and combinations.
A sample space is the set of all possible outcomes for an event or the set of data from an experiment. When you construct the sample space, be sure to include all possible combinations. Using tables or tree diagrams will help ensure all combinations are included. EXAMPLE
James is planning on fishing over summer vacation. He can fish in a river or lake for trout, bass, or catfish. What are all the possible fishing combinations available to James? Two common methods of listing combinations are tables and tree diagrams.
YOU DO IT
River
Trout
River
Bass
River
Catfish
Lake
Trout
Lake
Bass
Lake
Catfish
Tree Diagram Begin by writing each element of the first group once. Below each element just written, write each element of the second group. Draw a line to connect each first group element with the second group elements written below it.
River Trout
Lake Bass
Trout
Catfish
Bass
Catfish
At the skate park, Tina can use inline skates, a skateboard, or an inline scooter. There are inside and outside sections of the park. What are all the possible riding combinations available to Tina? 1st Group
2nd Group
1st Group
2nd Group
56
TAKS Objective 5 TEKS 6.9.A Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Table Begin by repeatedly listing each element of the first group (in this example, river/lake) the same number of times. The number of times is equal to the number of elements in the second group (in this case, 3). Then list the second group until the table is full.
Name ——————————————————————— TAKS
Objective 5 TEKS 6.9.A Practice
in white or orange. Which table shows all the possible ball combinations the company offers?
B
C
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
D
3. A company produces 2 different handheld
Ball
Color
video game systems. Each is offered in grey, black, or clear. Which table shows all of the possible combinations of the game systems the company offers?
Baseball
White
A
Baseball
Orange
Softball
White
Softball
Orange
Ball
Color
Baseball
System
Color
A
Grey
B
Black
A
Clear
White
System
Color
Baseball
White
A
Grey
Softball
Orange
A
Black
Softball
Orange
B
Clear
B
Grey
B
Ball
Color
Baseball
White
System
Color
Softball
Orange
A
Grey
A
Grey
C
Ball
Color
A
Black
Baseball
White
B
Black
Softball
Orange
B
Clear
Baseball
White
B
Clear
Softball
Orange
D
System
Color
2. A Labrador retriever can be male or female, and
A
Grey
yellow, brown, or black. Which tree diagram shows all the possible combinations?
A
Black
A
Clear
B
Grey
F
Male
Female
Yellow
Brown
B
Black
Female
B
Clear
G Male
Yellow H
J
Brown
Black
Male
Female
Yellow Black Brown
Yellow Black Brown
Male
Female
Yellow
Black
TAKS Objective 5 TEKS 6.9.A Practice
1. A company produces baseballs and softballs
A
Date ————————————
Brown
TAKS Objectives Review and Practice Grade 6 TAKS Test
Black
6.9.A When you finish this page, you can h check off a box on your TEKS Tracker, page 55. TAKS Objective 5 TEKS 6.9.A Practice
57
Name ———————————————————————
TAKS Objective 5 TEKS 6.9.B Review
TAKS 6.9.B
Date ————————————
Objective 5 TEKS 6.9.B Review
Find the probabilities of a simple event and its complement and describe the relationship between the two.
The probability of an event is how likely it is to occur. The complement of an event is the set of all outcomes that are not in the event. Two very important things to remember about probability are: Number of outcomes favorable for event Total number of possible outcomes
Probability of event 5 }}}
(Probability of event) 1 (Probability of complement of event) 5 1 or Probability of complement of event 5 1 2 (Probability of event)
An aquatic center has 2 slides, 3 diving boards, and 1 vortex. Each is equally likely to be used next. What is the probability that a slide is used next? Event 5 using a slide
Identify the specific event.
Number of outcomes favorable for event 5 2
There are 2 slides.
Total number of possible outcomes 5 6
There are 2 1 3 1 1 5 6 choices.
2 Probability of using slide 5 }6
Use formula from above. Reduce fraction.
1
5 }3
YOU DO IT
Jane chooses a card at random from the letter cards shown below. S
N
A
K
E
S
What is the probability the card chosen at random is not an S?
58
Event 5
Identify the specific event.
Number of outcomes favorable for event 5
Favorable outcomes: N, A, K, E
Total number of possible outcomes 5
There are 6 cards.
Probability of event 5
Use formula from above.
TAKS Objective 5 TEKS 6.9.B Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
EXAMPLE
Name ———————————————————————
Objective 5 TEKS 6.9.B Practice
TAKS
5. Satchi is assigned a whole number at random
letter cards shown below. N
C
R
E
D
I
B
L
E
What is the probability the card chosen is a vowel? 1 A } 4 1 C } 2
2 5 3 } 5 }
B D
from the numbers 0–8 for a game at a summer camp. What is the probability that the number she is assigned is an even number? 4 A } 9 5 C } 8
cards shown below.
4 swordtails, and 6 zebra danios. What is the probability that a fish caught at random from the aquarium is not a swordtail?
W
A
I
I
7 9
G
}
H }2
J
}
7
What is the probability the card chosen is not a vowel? 1 6 2 H } 3 Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
F
}
J
3. Emma chooses a card at random from the
letter cards shown below. S
A
T
U
R
A
T
E
What is the probability the card chosen has a consonant immediately before it in the word? 3 7
A 0
B
}
4 7
D
1
C
}
7. The numbers of servings of fruit Consuela
projects, 4 painting projects, and 2 sculpture projects. He randomly chooses one project for his class. What is the probability it is a drawing project? G J
1 3 2 } 3 }
TAKS Objectives Review and Practice Grade 6 TAKS Test
2 7
1 A } 7
B
}
C }3
D
}
7
4 7
8. The numbers below are the days of the
month on which class members’ birthdays fall. What is the probability that a class member does not share the same number with another class member?
4. Mr. Lang, the art teacher, has 2 drawing
1 F } 4 1 H } 2
2 9
ate each day the past week were 3, 2, 4, 0, 4, 5, and 2. If a day of the week is chosen at random, what is the probability that Consuela had a least 4 servings of fruit on that day?
1 3 5 } 6 }
G
4 9
}
F
A
D
1 2 5 } 9 }
6. Tyrone’s aquarium has 8 neon tetras,
2. Hue chooses a card at random from the letter
H
B
TAKS Objective 5 TEKS 6.9.B Practice
1. Mike chooses a card at random from the
I
Date ————————————
13
16
4
12
31
2
10
17
26
14
30
8
14
22
11
7
20
4
2 9
}
1 9
G
}
H }7
J
}
F
9
8 9
6.9.B When you finish this page, you can h check off a box on your TEKS Tracker, page 55. TAKS Objective 5 TEKS 6.9.B Practice
59
Name ———————————————————————
Objective 5 TEKS 6.10.A Review Select and use an appropriate representation for presenting and displaying different graphical representations of the same data including line plot, line graph, bar graph, and stem and leaf plot.
Line plot Use to represent a tally of numbers, especially if you want to present all of the data.
Line graph Use to represent data that change over time.
Bar graph Use to represent data that can be divided into distinct categories.
Stem and leaf plot Use to order a data set and present all of the data.
The table shows the winning times of five horse race winners. Draw a bar graph that displays the information in the table. The scale of the graph should include the smallest value in the table (119) and the largest value (124). The table is labeled to show the scale is in increments of one second.
YOU DO IT
Horse
Time (seconds)
Monarchos
119
War Emblem
121
Funny Cide
121
Smarty Jones
124
Giacomo
122
The following table and bar graph contain information on the 5 fastest land animals. Use the graph to fill in the missing information on the table. Animal Cheetah 61 Wildebeest 50
80 70 60 50 40 30 20 10 0
60
TAKS Objective 5 TEKS 6.10.A Review
Th
Pr on
gh o
Thomson’s Gazelle
Fastest Land Animals
Speed (in ______)
Li om rn o ps Ant n on el o ’s p G e az e Ch lle e W e ild tah eb ea st
EXAMPLE
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
When you want to make a display for a set of data, you must consider what type of data you have and what information you want to present. To choose an appropriate display, consider the information below.
Speed (miles per hour)
TAKS Objective 5 TEKS 6.10.A Review
TAKS 6.10.A
Date ————————————
Name ———————————————————————
Objective 5 TEKS 6.10.A Practice
passengers in five recent years. Which graph most accurately displays the information in the table?
910
646
GMH
717
II
612
JVM
524
III
621
JMB
417
IV
642
TID
323
V
636
650 640 630 620 610 600
F
I
D
Total Passengers (in millions)
III IV Year
V
G
650 640 630 620 610 600 I
C
II
650 640 630 620 610 600
650 640 630 620 610 600
II
III IV Year
V
H
I
II
III IV Year
V
J
I
II
III IV Year
V
Score (in thousands)
KIH
I
1000 800 600 400 200 0
Score (in thousands)
Score (in thousands)
1000 800 600 400 200 0
Score (in thousands)
Player
Total Passengers (in millions)
Total Passengers (in millions)
Total Passengers (in millions)
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
B
video game at Uncle George’s Pizzeria. Which graph most accurately displays the information in the table?
Year
Total Passengers (in millions)
A
2. The table shows the top five scores on a
1000 800 600 400 200 0
1000 800 600 400 200 0
TAKS Objective 5 TEKS 6.10.A Practice
1. The table shows the number of airplane
Score (in thousands)
TAKS
Date ————————————
KIH GMH JVM JMB TID Player
KIH GMH JVM JMB TID Player
KIH GMH JVM JMB TID Player
KIH GMH JVM JMB TID Player
6.10.A When you finish this page, you can h check off a box on your TEKS Tracker, page 55. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 5 TEKS 6.10.A Practice
61
Name ———————————————————————
Objective 5 TEKS 6.10.B Review
6.10.B Identify mean (using concrete objects and pictorial models), median, mode, and range of a set of data.
Median The median is the middle value of a set of numbers. To find it, list the numbers in order from least to greatest. Cross out one value from each end until you find the middle value. If there are 2 middle values, add them and divide by 2.
EXAMPLE
Mode The mode is the value, or values, in a set of numbers that occur(s) more frequently than any other number. There is no mode of a list when each value occurs the same number of times.
Range The range of a set of numbers is the difference between the greatest and the least numbers in the set. To find the range, take the greatest number and subtract the smallest number.
Six friends went bowling last Saturday. Their scores for their first game were 97, 90, 121, 116, 138, and 106. What are the median, mode, and range of the scores? 90, 97, 106, 116, 121, 138
Write the numbers in order.
90, 97, 106 , 116 , 121, 138
Cross out the values from the ends until you reach the middle. 106 and 116 are the middle values.
106 1 116 5 222
Add the two middle values.
222 } 5 111 2
Divide the sum by 2.
The median is 111. All of the scores appear once, so there is no mode. 138 is the greatest number, and 90 is the smallest number. 138 2 90 5 48 The range is 48. YOU DO IT
Seven brothers played in a mini-golf tournament. Their scores were 29, 33, 29, 32, 26, 30, and 37. What are the median, mode, and range of the scores? Write the numbers in order. Then cross out the values from the ends until you reach the middle number. Circle this number, the median. ,
,
,
,
,
,
What score(s), if any, occur(s) the most frequently? The answer gives the mode(s). The range is the greatest minus the smallest: 2 greatest
62
TAKS Objective 5 TEKS 6.10.B Review
5 smallest
range
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
TAKS Objective 5 TEKS 6.10.B Review
TAKS
Date ————————————
Name ——————————————————————— TAKS
Objective 5 TEKS 6.10.B Practice
Weber Elementary has 6 sixth grade classrooms. The table shows the number of students in each classroom.
5. The list below gives the number of strokes a
golfer takes on the first 9 holes during a golf tournament. What is the median number of strokes? 4, 5, 5, 4, 3, 4, 3, 5, 5 A 2
B
3
4
D
5
Classroom
Students
6A
23
6B
25
6C
27
6D
16
6E
22
0
3
3
4
2
1
2
6F
25
1
6
2
4
2
0
0
2
0
1
8
1
1
4
C
6. The data below give the numbers of pets
that members of a class have at home. What is/are the mode(s) of the number of pets?
1. What is the median of the number of
students? A 11
B
23
24
D
25
2. What is the mode of the number of
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
students? F
11
G
23
H
24
J
25
3. What is the range of the number of
students? B
23
24
D
25
C
F
no mode
G
1
H
2
J
1 and 2
7. The data below give the speeds in miles per
hour of the pitches a pitcher makes in one inning of a baseball game. What is the range of the pitch speeds? 93
85
88
93
91
89
96
88
89
94
94
84
92
88
A 12 C
A 11
TAKS Objective 5 TEKS 6.10.B Practice
Use the following situation to answer Questions 1–3.
C
Date ————————————
9
B
11
D
5
4. There are seven pairs of girls’ shoes in
the lost and found. Their sizes are 8, 6, 12, 7, 13, 8, and 6. What is the median shoe size? F 7 G 7.5 H
8
J
8.5
6.10.B When you finish this page, you can h check off a box on your TEKS Tracker, page 55. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 5 TEKS 6.10.B Practice
63
Name ———————————————————————
Objective 5 TEKS 6.10.C Review
TAKS Objective 5 TEKS 6.10.C Review
TAKS 6.10.C
Date ————————————
Sketch circle graphs to display data.
Key Ideas of Circle Graphs 25% is one quarter of a circle.
Compare the sizes of regions to help you interpret the data. These two sections together represent 25%, so each is less than 25%. The larger of the two sections is twice the size of the smaller, so it represents twice as many data values.
25% corresponds to a section with a right angle.
50% is one half of a circle. A diameter of a circle divides the circle into two sections, each representing 50%.
EXAMPLE
NASA is using 4 vehicles for its currently planned missions. The Pegasus XL will be used for 10% of the missions, the Delta 4 for 10%, the Space Shuttle for 30%, and the Delta 2 for 50%. Display this data in a circle graph. Delta 2 = 50%. Indicate this section first, since we know it is a half circle. Delta 4 = 10%.
YOU DO IT
The Perfect Fruit Company’s fruit salad is made up of 25% bananas, 40% pears, 25% peaches, and 10% grapes. Display this data in a circle graph.
Begin by noting that bananas and peaches each make up 25% of the salad. Indicate this by labeling two quarters of a circle.
64
Note that the Delta 4 and Pegasus XL sections are the same size.
TAKS Objective 5 TEKS 6.10.C Review
Next take the remaining half of the circle and divide it into two sections. The pear section should be 4 times as large as the grape section.
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Pegasus XL = 10%. Space Shuttle = 30%. This section is slightly larger than 25% of the circle.
Name ——————————————————————— TAKS
Date ————————————
Objective 5 TEKS 6.10.C Practice 3. At Maplewood Recreation Center, 20% of
sixth grade. Of the students, 30% prefer dogs as pets, 30% prefer cats, 25% prefer birds, and 15% prefer other animals. Which graph best represents these data?
the families have no children, 25% have 1 child, 35% have 2 children, and 20% have 3 or more children. Which graph best represents these data?
A
A
B
Other
Other
Dogs
B
1 Child 2 Children
Cats Cats
C
1 Child
Birds
No Children 3 or More
3 or More
Dogs
Birds
No Children
TAKS Objective 5 TEKS 6.10.C Practice
1. Bunge Junior High did a survey of the entire
2 Children
D Other
Other Dogs
Dogs
C
No Children
D
Birds Birds
Cats
3 or More
3 or More
Cats
No Children
2 1 Children Child
1 Child 2 Children
2. Martin barbeques every Saturday. He uses
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
50% of his grill for hamburgers, 30% for hot dogs, and 20% for chicken. Which graph best represents these data? F
G
Chicken
Chicken
Hot Dogs
Hot Dogs
J
Chicken
Hot Dogs
sales come from water skis, 40% from wakeboards, and 40% from towables. Which graph best represents these data? F
Burgers
Burgers
H
4. At Lakefront Watersport, 20% of the
Burgers
G
Water Skis
H
Towables Water Skis Wakeboards
Towables
Water Skis
Wakeboards
Chicken
Hot Burgers Dogs
Towables
Wakeboards
J
Towables
Water Skis Wakeboards
6.10.C When you finish this page, you can h check off a box on your TEKS Tracker, page 55. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 5 TEKS 6.10.C Practice
65
Name ———————————————————————
Objective 5 TEKS 6.10.D Review Solve problems by collecting, organizing, displaying, and interpreting data.
Ways of Presenting Data Advantages
Disadvantages
Graphs
Useful for comparing all the data at once.
Tables
Specific values are easy to find Hard to get the “big picture” and use in computations. or see trends.
Bronzers
12
Mules
14
Mammoths
8
Grizzlies
10
Rancheros
9
Stallions
11
Cougars
10
16 14 12 10 8 6 4 2
M
on d Tu ay e W s ed da ne y s Th da ur y sd ay Fr i Sa day tu rd Su ay nd ay
0
66
TAKS Objective 5 TEKS 6.10.D Review
Day
Rainy Days
Monday Tuesday Wednesday Thursday Friday Saturday Sunday
10 13 12 9 11 14 15
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
10
ul l on s ze rs M Mu am le m s o G ths riz Ra zli nc es he St ros al li Co ons ug ar s
Seagulls
16 14 12 10 8 6 4 2 0
ag
Games Won
Br
Team
The following graph shows the number of times it rained on each day of the week, over the course of a year. Use the graph to fill in the values on the table. Number of times rained
YOU DO IT
The following table contains the numbers of games won by eight football teams last year. Construct a bar graph for the data.
Games Won
EXAMPLE
Not easy to determine specific values.
Se
TAKS Objective 5 TEKS 6.10.D Review
TAKS 6.10.D
Date ————————————
Name ———————————————————————
Objective 5 TEKS 6.10.D Practice
ag
ul l on s ze rs M Mu am le m s o G ths riz Ra zli nc e s he St ros al li Co ons ug ar s
8 6 4 2 0
Br
3. The following graph displays the numbers
of participants in a town’s athletic programs last year. 42 39 36 33 30 27 24
s Ba eba sk ll et b Fo all ot ba l H oc l ke So y cc So er ftb a Te ll nn is Tr ac k
Games Won
by 8 football teams in their first season.
TAKS Objective 5 TEKS 6.10.D Practice
1. The graph shows the numbers of games won
Number of Participants
TAKS
Se
Date ————————————
Ba
Which statement is supported by the graph? A The Rancheros and the Mammoths won
the same number of games. B
The Seagulls and Stallions accounted for 25% of the wins.
C
The Grizzlies, Cougars, and Seagulls won fewer games combined than the Stallions, Bronzers, and Mammoths won combined.
Which statement is supported by the graph? A Baseball, basketball, and soccer account
for half of all the participants. B
Baseball and basketball had more participants than soccer and softball.
C
Hockey and tennis had the same number of participants.
D The Rancheros won 5 games. 2. The graph below lists the number of times it
rained each day of the week for the past year.
4. The following graph shows the win totals of
Number of wins
six snowboarders.
d Tu ay e W s ed da ne y s Th da ur y sd ay Fr i Sa day tu rd Su ay nd ay
8 6 4 2 0
M
Which statement is supported by the graph? F
It rained more on Friday, Saturday, and Sunday combined, than on Monday, Tuesday, and Wednesday combined.
G Monday and Thursday account for more
i Ke
It rained fewer Mondays than any other day.
J
It rained on 5 Fridays.
TAKS Objectives Review and Practice Grade 6 TAKS Test
a a Av and ir M
in
Er
te et Yv
Which statement is supported by the graph? F
Lynn had more than 25% of the wins.
G Erin and Ava had more wins together
than Lynn alone. H
Keisha and Ava had more wins than Miranda and Erin.
J
Yvette had 5 wins.
than 25% of the rainy days. H
12 9 6 3 0 a n sh Lyn
on
Number of Times Rained
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
D There were 33 participants in track.
6.10.D When you finish this page, you can h check off a box on your TEKS Tracker, page 55. TAKS Objective 5 TEKS 6.10.D Practice
67
Name ———————————————————————
Objective 5 Mixed Review
1. This table shows the number of hotels for the
top 5 hotel chains in the world. Hotel Chain
Hotels (in thousands)
A
132
B
240
C
176
D
100
E
261
300 250 200 150 100 50 0
H
$.64 J
A
B
Reality News
Drama
Reality
News
Drama
Comedy
D News
Drama
Reality
News
Comedy Comedy
B C D Hotel Chain
$.75
programming devoted to news, 35% to comedy shows, 20% to dramatic shows, and 20% to reality shows. Which graph best represents these data? (6.10.C)
Drama
E
4. The following graph displays the number of
hours spent studying per week for 7 students.
A
B C D Hotel Chain
E
A
B C D Hotel Chain
E
Ra j A bb rm y an d Jo o an N ic ie ho la s
300 250 200 150 100 50 0
16 14 12 10 8 6 4 2 0
A
Number of hotels (in thousands) Number of hotels (in thousands)
$.63
3. One television network has 25% of its
Reality
300 250 200 150 100 50 0
Which statement is supported by the graph? (6.10.D)
F
300 250 200 150 100 50 0
TAKS Objective 5 Mixed Review
G
C
Raj and Jeremy account for more than 25% of the total hours spent studying.
G Nicholas studies the most.
A
68
$.33
B C D Hotel Chain
E
H
Armando studies 12 hours per week.
J
Mila studies as much as Abby and Joanie combined.
When you finish this page, you can check off h a box on your TEKS Tracker, page 67. TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
D
Number of hotels (in thousands)
C
F
Comedy
A
B
corn. Their prices for an 8 ounce can are $.75, $.60, $.44, $.75, $.68, $.59. What is the median price? (6.10.B)
M Je ila re m y
A
Number of hotels (in thousands)
Which graph most accurately displays the information in this table? (6.10.A)
2. A grocery store has 6 varieties of canned
Hours Spent Studying
TAKS Objective 5 Mixed Review
TAKS
Date ————————————
Name ——————————————————————— TAKS
Date ————————————
Objective 6 TEKS Tracker
As you complete the review and practice pages for TAKS Objective 6, check off the boxes next to the TEKS you have covered below.
Objective 6 The student will demonstrate an understanding of the mathematical processes and tools used in problem solving. Pages
Tracker
Underlying processes and mathematical tools. The student applies Grade 6 mathematics to solve problems connected to everyday experiences, investigations in other disciplines, and activities in and outside of school. The student is expected to:
70–71
h
6.11.A
identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics
72–73
h
6.11.B
use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness
74–75
h
6.11.C
select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem
6.12
76–77
h 6.13
TAKS Objective 6 TEKS Tracker
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
6.11
TEKS
Underlying processes and mathematical tools. The student communicates about Grade 6 mathematics through informal and mathematical language, representations, and models. The student is expected to: 6.12.A
communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models
Underlying processes and mathematical tools. The student uses logical reasoning to make conjectures and verify conclusions. The student is expected to:
78–79
h
6.13.A
make conjectures from patterns or sets of examples and nonexamples
80–81
h
6.13.B
validate his/her conclusions using mathematical properties and relationships
82
h
Objective 6 Mixed Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 6 TEKS Tracker
69
Name ———————————————————————
Objective 6 TEKS 6.11.A Review
TAKS 6.11.A
Date ————————————
Identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics.
You can use unit analysis to help form a problem-solving plan and determine if any needed information is missing. Remember that identical units in the numerator and denominator of a fraction “cancel out,” leaving a number with no units. Marc buys nails for $2.50 per box. He uses 24 nails in each cabinet that he builds. What missing information does Marc need in order to find the cost of the nails used to make each cabinet? $ cabinet
The total cost of nails used will be some amount of dollars per cabinet.
}
The given information is a price per box of nails and a number of nails per cabinet.
} and }
How can you get from the units given to the units you want.
}+}+}5}
Use unit analysis. Keep the units for the amount of money and the number of cabinets. Cancel the units for the number of boxes and the number of nails.
}+}+}5}
$ box
nails cabinet
$ box
? ?
$ box
box nails
nails cabinet
nails cabinet
$ cabinet
$ cabinet
The missing information is how many nails there are in a box. If you know this information, you can solve the problem. For example, suppose there are 100 nails in a box. Then the cost of the nails in each cabinet is: $2.50 1 box
1 box 100 nails
24 nails 1 cabinet
$.60 1 cabinet
}+}+}5}
YOU DO IT
Jen buys bags of grass seed for her 2500 square feet of lawn. Each bag costs $12.30. What missing information will Jen need to find the total cost of grass seed for her lawn? What are the units of the total cost of grass seed for the lawn? __________ What are the units of the given information? _______________ Use unit analysis:
+
+
5
The missing information is
70
TAKS Objective 6 TEKS 6.11.A Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
TAKS Objective 6 TEKS 6.11.A Review
EXAMPLE
Name ——————————————————————— TAKS
Date ————————————
Objective 6 TEKS 6.11.A Practice
1. An art school orders colored pencils. The
5. Ms. Ryan asks her assistant to type 2 reports,
order is shipped in 12 boxes. Each box contains 16 sets of pencils. What missing information do you need to find the number of pencils the school orders?
each 5200 words long. The assistant can type an average of 200 words in 5 minutes. Which fact will Ms. Ryan need to decide if her assistant can finish the job within 2 hours?
A The size of a box
A 1 minute equals 60 seconds.
B
The length of a pencil
B
60 minutes equal 1 hour.
C
The number of pencils in a set
C
300 seconds equal 5 minutes.
D The length of time for an order to
D 3600 seconds equal 1 hour. 6. The elevator in an office building can rise
2. A farmer harvests 1500 bushels of apples.
The farmer receives $26 per bushel for the harvest. What missing information do you need to find the total number of apples harvested? F
The number of bushels harvested per tree
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
G The number of apples harvested per tree H
The average amount received per apple
J
The total amount received
from the ground floor to the fifth floor in 26 seconds. What missing information do you need to find how fast the elevator rises in feet per second? F
The height of each floor in feet
G The height of the elevator car in feet H
The time the elevator takes to rise 1 foot
J
The time the elevator takes to rise 1 floor
TAKS Objective 6 TEKS 6.11.A Practice
arrive
7. Sarah plans to paint the wall shown, except 3. Kim’s favorite book series consists of 9 books.
Each book has an average of 150 words per page. What missing information does Kim need to find the total number of words in the series?
for the door. Both the wall and the door are rectangular. 8 ft 19 ft
A The averge number of words per chapter B
The average number of pages per book
C
The total number of books Kim has read
D The average number of pages per chapter
One gallon of paint covers 130 square feet. What missing information does Sarah need to find the number of gallons of paint she should buy? A The area of the door in square feet
4. Marti competes in a 12-mile bicycle race.
She knows there are 12 inches in 1 foot. What single other fact will she need to find the length of the race in inches? F
36 inches equal 1 yard.
G 36 inches equal 3 feet. H
5280 feet equal 1 mile.
J
5280 feet equal 1760 yards.
TAKS Objectives Review and Practice Grade 6 TAKS Test
B
The perimeter of the door
C
The ratio of the height of the door to the height of the wall.
D The total area of the wall and door in
square feet 6.11.A When you finish this page, you can h check off a box on your TEKS Tracker, page 69. TAKS Objective 6 TEKS 6.11.A Practice
71
Name ——————————————————————— TAKS
Date ————————————
Objective 6 TEKS 6.11.B Review
6.11.B Use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness.
Organize your approach to word problems by using these four steps:
TAKS Objective 6 TEKS 6.11.B Review
STEP 1: Understand the problem. What information is given? What question is being asked? EXAMPLE
STEP 2:
Make a plan.
What steps will you follow to answer the question?
STEP 3: Carry out the plan. Perform the steps to answer the question.
Check that the answer is reasonable. Did you find what the problem asked for? Does your answer make sense? STEP 4:
A rectangular banner has a width of 4 feet. If the area of the banner is 36 square feet, what is the perimeter of the banner? Step 1: I need to find the perimeter of the rectangle. I know the width of the rectangle is 4 feet, and its area is 36 square feet. The formula for perimeter is P 5 2* 1 2w, and the formula for area is A 5 *w. Step 2: To use the perimeter formula, I will need to find *. I can use the area formula to find *, because I know A and w. Step 3: A 5 *w, so 36 5 * + 4, or * 5 36 4 4 5 9 feet P 5 2* 1 2w 5 2(9) 1 2(4) 5 26 feet
YOU DO IT
Jamal needs to buy at least 2 hot dogs for himself and for each of his 14 guests. Hot dogs come in packages of 8. How many packages will Jamal need to buy? What information does the problem give me?
What question does the problem ask me to answer?
How will I find the answer?
The answer is
Does my answer make sense?
72
TAKS Objective 6 TEKS 6.11.B Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Step 4: This is reasonable, since 9 feet 1 4 feet 1 9 feet 1 4 feet 5 26 feet. Also, 9(4) 5 36, which is the correct area.
Name ———————————————————————
Date ————————————
Objective 6 TEKS 6.11.B Practice
TAKS
1. David, Micah, and Joe are brothers. Micah
is 5 years younger than Joe. David is 2 years older than Micah. If David is 16 years old, how many years old is Joe? Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value.
4. A musician practices for 1 hour and
30 minutes, 5 times per week. During each practice, she plays scales for 15 minutes. Then she spends the remaining time working on a new piece for a recital. How long will she spend practicing the new piece in 1 week? F
1 hour and 15 minutes
G 6 hours and 15 minutes
1 9 . 0
0
0
0
0
1
1
1
1
1
1
2
2
2
2
2
2
3
3
3
3
3
3
4
4
4
4
4
4
5
5
5
5
5
5
6
6
6
6
6
6
7
7
7
7
7
7
8
8
8
8
8
8
9
9
9
9
9
9
H
7 hours and 30 minutes
J
8 hours and 45 minutes
5. Mr. Gains cuts this rectangular fabric into
four triangles. 1 yd A 6 yd
2 yd 8 yd
2. Kayla designs this pattern with tiles.
TAKS Objective 6 TEKS 6.11.B Practice
0
What is the area of triangle A?
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
A 18 square yards B
21 square yards
C
24 square yards
D 42 square yards
The black tiles cost $4.50 for a box of 10 tiles. If she must buy whole boxes of tiles, what is the least amount Kayla will have to spend on black tiles to repeat the pattern 32 times? F
$36.50
G $45.00 H
$58.50
J
$72.00
2.25 hours. If her car can travel 15 miles on 1 gallon of gas, how many gallons of gas did she use during this time?
C
75
child. He charges an extra $.75 per hour for each additional child. How much does the sitter charge to watch 3 children for 4 hours? F
$26.25
G
$27.50
H
$32.00
J
$35.00
7. The perimeter of one side of a box is
3. Ms. Charles drives 60 miles per hour for
A 4
6. A babysitter charges $6.50 per hour for one
B
9
D
135
TAKS Objectives Review and Practice Grade 6 TAKS Test
16 inches. If the box is in the shape of a cube, what is the volume of the box? A 12 in.3
B
36 in.3
48 in.3
D
64 in.3
C
6.11.B When you finish this page, you can h check off a box on your TEKS Tracker, page 69. TAKS Objective 6 TEKS 6.11.B Practice
73
Name ——————————————————————— TAKS
Date ————————————
Objective 6 TEKS 6.11.C Review
6.11.C Select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem.
Drawing a picture can help you organize information, plan a strategy, and solve a word problem. EXAMPLE
A group of 6 people orders 2 cheese pizzas and 1 pepperoni pizza. Each pizza is cut into 8 slices. Each person gets the same number of slices. How many slices does each person get?
1
1 2 3
6 5
1 2 3
6
4
cheese
5
4
cheese
2 3
6 5
4
pepperoni
The drawing shows that each person gets 3 slices, with 6 slices left over. Since there are 6 people, each person can get 1 of the leftover slices, too. Each person gets a total of 4 slices. YOU DO IT
Julia has 3 daughters: Jen, May, and Anna. Jen has a son and a daughter. May has twin daughters. Anna has 3 sons and also a daughter. Finish this drawing to find the total number of mothers and children. Julia
74
TAKS Objective 6 TEKS 6.11.C Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
TAKS Objective 6 TEKS 6.11.C Review
Draw and label the pizzas. Number the slices to show which slice goes to which person.
Name ———————————————————————
Objective 6 TEKS 6.11.C Practice
TAKS
1. Mike’s Auto Shop has 12 vehicles for sale.
Two-thirds are cars and the rest are trucks. One-quarter of the cars and half of the trucks are black. Which drawing could you use to find the number of black cars for sale at Mike’s? Cars
Cars
Trucks
B
Trucks
C
Cars
of gas. Which drawing could you use to find the number of times Mr. Justin will have to fill the tank to drive 350 miles?
Trucks
D
1 2. José spends 2 } hours doing homework 2
for English, Math, and Social Studies. He spends twice as much time on Social Studies 1 as he spends on English. If he spends }2 an hour on English, which drawing could you use to find the amount of time José works on Math? F
E SS M
G
E
H
E SS SS M M
J
E
F
200 fill tank 100 fill tank 50
G
200 fill tank 150
H
200 fill tank 250
J
100 fill tank 200 fill tank 50
5. Dr. Walker pours half of a full bottle of
liquid into 6 jars. Then she pours half of the liquid from each jar into 2 test tubes. Which drawing could you use to find the total number of containers she uses? A
B
C
D
6. Amy’s garden has 3 rows of sunflowers. Two
rows have 4 plants and one row has 3 plants. Each plant produces an average of 5 ounces of seeds. Which drawing could you use to find the total ounces of seeds? F
Row 1 Row 2 Row 3 S S S S S S S S S S S S 5 5 5 5 5 5 5 5 5 5 5 5
G
Row 1 S 5
H
Row 1 Row 2 Row 3 S S S S S S S S S S S 5 5 5 5 5 5 5 5 5 5 5
J
Row 1 Row 2 Row 3 SSSSS SSSSS SSSSS
E SS M
E SS SS M
3. Mr. Peters cuts a wooden board into 3 pieces.
He cuts 1 of the pieces into 3 pieces. He cuts the other 2 pieces into 2 pieces each. If he uses 5 pieces, which drawing could best help you find the number of pieces left? A B C D
TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 6 TEKS 6.11.C Practice
Cars
4. Mr. Justin drives 200 miles on each tank of 1 gasoline. He starts driving with }2 of a tank
Trucks
A
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Date ————————————
Row 2 S 5
Row 3 S 5
6.11.C When you finish this page, you can h check off a box on your TEKS Tracker, page 69. TAKS Objective 6 TEKS 6.11.C Practice
75
Name ———————————————————————
Objective 6 TEKS 6.12.A Review
TAKS 6.12.A
Date ————————————
Communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models.
TAKS Objective 6 TEKS 6.12.A Review
Translating Math Operations into English 12 1 3 5 15
12 – 3 = 9
12 3 3 5 36
12 3 5 4
Add 12 and 3. The sum is 15.
Subtract 3 from 12. The difference is 9.
Multiply 12 by 3. The product is 36.
Divide 12 by 3. The quotient is 4.
EXAMPLE
Describe how to find the measure of the third angle of this triangle. ?
50°
72°
I know that the three angles of any triangle add up to 180°. Also, I know that two of the angles in this triangle are 50° and 72°. Together, these two angles add to 122°. The total of 122° and the third angle must be 180°.
YOU DO IT
Tomato sauce costs $.18 per ounce. Jim buys a 15-ounce can of tomato sauce. He 1 uses }3 of the can to make soup. Describe how to find the cost of the tomato sauce in Jim’s soup. What information does the problem give me?
How do I find the cost of the whole can of tomato sauce?
What fraction of the can did Jim use in the soup?
To find the cost of the tomato sauce in Jim’s soup, I can
76
TAKS Objective 6 TEKS 6.12.A Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
So, to find the third angle, add 50° and 72°, and subtract the sum from 180°.
Name ——————————————————————— TAKS
Date ————————————
Objective 6 TEKS 6.12.A Practice
1. Tara buys 3 pounds of apples and 4 pounds
of oranges to make a fruit salad. The apples cost $.75 per pound and the oranges cost $1.10 per pound. Which best describes how Tara can find the total cost of the fruit?
5. This shape is made of two rectangles. Which
best describes how to find the area of the shaded rectangle? 6 2
A Multiply 2 by the sum of $.75 and $1.10. B
Add the product of 3 and $.75 to the product of 4 and $1.10.
C
Multiply 7 by the sum of $.75 and $1.10. product of 3 and $1.10.
2. Gabriel scores 87, 85, 92, and 93 on his math
tests. Which best describes how Gabriel can find his average test score? F
Add 87, 85, 92, and 93, and divide the sum by 4.
G Subtract 4 from the sum of 87, 85, 92,
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
and 93.
A Add 4 to the product of 6 and 2. B
Subtract 4 from the sum of 6 and 2.
C
Multiply 4 by the sum of 6 and 2.
D Divide 4 by the product of 6 and 2. 6. Rachel walks 2.4 miles every Monday,
Wednesday, and Friday for 9 weeks. Which best describes how she can find the average number of miles she walks per week? F
Add 3 and 2.4, and multiply the sum by 9.
H
Multiply 4 times the sum of 87, 85, 92, and 93.
G Subtract 2.4 from 3, and divide the
J
Divide 87, 85, 92, and 93 each into 4 and multiply the quotients.
H
Multiply 2.4 by 3, and divide the product by 9.
J
Divide 3 by 2.4, and multiply the quotient by 9.
3. Which best describes how to find the mea-
difference by 9.
sure of one angle of an equilateral triangle? A Add 3 to 180. B
Subtract 3 from 180.
C
Multiply 180 by 3.
D Divide 180 by 3. 4. The cost of 2 books and 1 magazine is $18.
Each book costs $7. Which best describes how to find the cost of the magazine? F
Divide 18 by 7.
G Subtract 7 from 18. H J
Add 1, 2, and 7, and divide 18 by the sum. Multiply 2 by 7, and subtract the product from 18.
TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 6 TEKS 6.12.A Practice
D Add the product of 4 and $.75 to the
4
7. In the sport of rugby, a try is worth 5 points,
a conversion is 2 points, and a penalty kick is 3 points. A rugby team scores 2 tries, 2 conversions, and 1 penalty kick. Which best describes how to find the team’s score? A Add 5, 2, and 3, and multiply the sum by 3. B
Add 5, 2, and 3, and divide the sum by 3.
C
Multiply 5 by 2, multiply 2 by 2, and add 3 to the sum of the products.
D Multiply 5 by 2, multiply 2 by 2, and add
1 to the sum of the products. 6.12.A When you finish this page, you can h check off a box on your TEKS Tracker, page 69. TAKS Objective 6 TEKS 6.12.A Practice
77
Name ——————————————————————— TAKS 6.13.A
Date ————————————
Objective 6 TEKS 6.13.A Review Make conjectures from patterns or sets of examples and nonexamples.
When you are trying to describe a pattern, look for the things that the items have in common. With patterns of numbers, look at:
With patterns of shapes, look at:
• • • •
• • • •
Factors and multiples Minimums and maximums Even or odd numbers Perfect squares
Number of sides Number of angles Kinds of angles Measurements
TAKS Objective 6 TEKS 6.13.A Review
Remember, a description must fit every item in the pattern. EXAMPLE
What do all of these numbers have in common? 3, 6, 9, 12, 15, 18, 21 I can write the numbers as: 1 3, 2 3, 3 3, 4 3, 5 3, 6 3, 7 3 The numbers all are multiples of 3.
EXAMPLE
What do all of these numbers have in common?
I can write the numbers as: 02, 12, 22, 52, 102 The numbers all are perfect squares. YOU DO IT
What is true about these shapes?
Do the shapes have the same number of sides? ____ If so, how many? __ Do the shapes have the same number of angles? ____ If so, how many? __ Do the shapes appear to have the same kinds of angles? ____ If so, which kind?
The shapes all appear to be
78
TAKS Objective 6 TEKS 6.13.A Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
0, 1, 4, 25, 100
Name ———————————————————————
Date ————————————
Objective 6 TEKS 6.13.A Practice
TAKS
1. Which statement best describes these
4. This is a list of the lengths in minutes of all
shapes?
the movies showing at a theater: 88, 92, 104, 86, 99
1 inch
Which best describes the lengths of the movies? F
A They all appear to be circles.
They all appear to be shaded.
C
They all appear to be measured.
G The movies are more than 86 minutes
long.
D They all appear to have equal area. 2. Which statement best describes these
H
The movies are less than 104 minutes long.
J
The movies are between 85 and 105 minutes long.
rectangles? 6 cm
5. Which statement best describes these numbers?
2 cm 4 cm 4 cm
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
F
5 cm 7 cm 1 cm
3 cm
They all have equal area.
G They all have congruent sides. H
They all have the same perimeter.
J
They all have width greater than height.
2, 5, 8, 10, 20
TAKS Objective 6 TEKS 6.13.A Practice
B
The movies are between 88 and 99 minutes long.
A They all are factors of 20. B
They all are factors of 40.
C
They all are multiples of 2.
D They all are multiples of 4. 6. Which statement best describes these cups?
3. Mr. Ellis takes a bus to work. These are the
times he went to the bus stop on five mornings: 7:45, 7:49, 7:41, 7:44, 7:43 If he never missed the bus, which best describes the time the bus arrived at Mr. Ellis’ bus stop each morning? A The bus arrived before 7:40. B
The bus arrived after 7:40.
C
The bus arrived before 7:45.
F
They all appear to be half full.
G They all appear to have the same diameter. H
They all appear to have the same height.
J
They all appear to have the same volume.
D The bus arrived after 7:45.
6.13.A When you finish this page, you can h check off a box on your TEKS Tracker, page 69. TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 6 TEKS 6.13.A Practice
79
Name ———————————————————————
Objective 6 TEKS 6.13.B Review
TAKS 6.13.B
Date ————————————
Validate conclusions using mathematical properties and relationships.
Mathematical definitions, formulas, and properties help you make true statements about a given problem or situation. If the facts fit a definition, make a formula into a true equation, or match the conditions of a property, then the definition, formula, or property supports your statement.
TAKS Objective 6 TEKS 6.13.B Review
EXAMPLE
Lisa hikes 3 miles, stops to take pictures, and then hikes another 3 miles. She stops for lunch, and then hikes 1 more mile. Ted hikes 1 mile, stops to take pictures, and then hikes another 3 miles. He stops for lunch, and then hikes 3 more miles. Ted tells Lisa, “We hiked the same distance.” Show how the commutative property of addition supports Ted’s statement. The commutative property says that changing the order in which numbers are added will not change the sum. Lisa hikes 3 miles, 3 miles, and 1 mile.
Ted hikes 1 mile, 3 miles, and 3 miles.
Her total distance is: 3 1 3 1 1 5 7 miles.
His total distance is: 1 1 3 1 3 5 7 miles.
YOU DO IT
Juan buys two rectangular rugs. One is a blue rug that is 8 feet by 5 feet. The other is a red rug that is 4 feet by 10 feet. Juan says, “Both my rugs cover the same amount of floor space.” Show how the fact that the area of a rectangle is the product of its length and width supports Juan’s statement. The formula for the area of a rectangle is
The area of the blue rug is
The area of the red rug is
The fact that the area of a rectangle is the product of its length and width shows
80
TAKS Objective 6 TEKS 6.13.B Review
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
The sum of two 3s and one 1 is the same, no matter in which order you add the numbers. The commutative property supports Ted’s statement.
Name ——————————————————————— TAKS
Date ————————————
Objective 6 TEKS 6.13.B Practice
1. Mr. Royce builds a rectangular pond. The
5. This sprinkler sprays water in a circular pattern.
pond is 4 feet wide and 7 feet long. It holds 84 cubic feet of water. Mr. Royce tells his neighbor, “My pond is 3 feet deep.” Which fact best supports Mr. Royce’s statement?
water sprinkler
A The area of a rectangle is the product of
wet grass
its width and length. The volume of a rectangular prism is the product of its width, length, and height.
C
The opposite sides of a rectangle are the same length.
D The perimeter of a rectangle is twice the
The water covers 81: square feet of grass. Jack says, “I know I won’t get wet if I stand 10 feet from the sprinkler.” Which fact best supports Jack’s statement? A A circle’s diameter is twice the length of
the circle’s radius.
length plus twice the width. B
The area of a circle is the product of : and the square of the circle’s radius.
C
The circumference of a circle is the product of : and the circle’s diameter.
2. Joe has $10. Matt has $20. Joe tells Matt,
“You have twice as much as I have.” Which fact best supports Joe’s statement? F
2 1 20 5 22
G
30 2 20 5 10
H
20 3 2 5 40
J
20 2 5 10
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
3. Victor’s school is shaped like a regular octa-
D A circle is a set of points that are all the
same distance from a center point. 6. Jordan hangs this poster of his favorite band.
gon, with the door in the middle of one side of the building. He starts at the door and runs once around the outside of the school. Victor says, “I turned the corner 8 times.” Which fact best supports Victor’s statement?
24 in.
36 in.
A An octagon has 8 sides and 8 angles. B
The number 8 is the sum of 4 and 4.
C
The angles of a regular octagon are the same.
D The area of an octagon is the sum of the
areas of 4 rectangles and 4 triangles. 4. Connor buys 3 books for $14 each. His dad
buys 3 books for $4 each and 3 books for $10 each. The clerk tells them, “You both spent the same amount.” Which property best supports the clerk’s statement? F
Active
G
Associative
H
Commutative
J
Distributive
TAKS Objectives Review and Practice Grade 6 TAKS Test
TAKS Objective 6 TEKS 6.13.B Practice
B
He says, “My poster will cover 6 square feet of wall space.” Which fact best supports Jordan’s statement? F
36 equals 6 squared.
G 12 inches equals 1 foot. H
Perimeter can be measured in feet.
J
The poster’s width is 1}2 times its height.
1
6.13.B When you finish this page, you can h check off a box on your TEKS Tracker, page 69. TAKS Objective 6 TEKS 6.13.B Practice
81
Name ——————————————————————— TAKS
Objective 6 Mixed Review
1. Last week, Natalie spent the following
amounts for lunch: $4.50, $5.95, $3.99, $5.34, $4.89. Which best describes how Natalie can find the average amount she spent per day? (6.12.A)
4. Four boys share 12 toy cars and 4 toy trucks.
Each boy has the same number of cars and trucks. Which drawing shows this? (6.11.C)
$3.99, $5.34, and $4.89. B
Multiply 5 times the sum of $4.50, $5.95, $3.99, $5.34, and $4.89.
C
Add $4.50, $5.95, $3.99, $5.34, and $4.89, and divide the sum by 5.
CCCT
CCCT
CCCT
CCCT
CCCC
CCCC
CCCC
TTTT
TTTC
TTTC
TTTC
TTTC
F
A Subtract 5 from the sum of $4.50, $5.95, G
H
D Divide $4.50, $5.95, $3.99, $5.34, and
$4.89 each by 5 and multiply the quotients.
CCC
CCC
CCC
CCC
J
TT TT
2. Bob’s dogs are Fido, Rover, and Spot. Fido
weighs 7 pounds more than Rover. Spot weighs 4 pounds less than Fido. If Spot weighs 32 pounds, how much does Rover weigh? (6.11.B) F
28 pounds
G
29 pounds
H
35 pounds
J
43 pounds
3. Kirk and Frank tie a 5-foot string to the end
of a piece of chalk. Kirk holds the other end of the string in place while Frank walks once around him, drawing a chalk circle on the ground. (6.13.B)
5 ft
Frank walking with chalk
5. Look at the shapes below.
Which statement best describes these shapes? (6.13.A) A They all appear to be triangles. B
They all appear to be quadrilaterals.
C
They all appear to have 1 right angle.
D They all appear to have 3 acute angles. 6. Adam pays $4.99 for a box of frozen fruit
Kirk
string
The weight of 1 pop
Frank says, “I walked more than 30 feet.” Which fact best supports Frank’s statement?
F
A The value of : is greater than 3.
H
The cost per ounce of the pops
J
The number of pops in the box
B
The area of a circle is the product of : and the square of the circle’s radius.
C
The product of 5 and 6 equals 30.
D Frank is walking around Kirk in a
clockwise direction.
82
pops. Half of the pops are grape and half are orange. What missing information does Adam need to find the cost per pop? (6.11.A)
TAKS Objective 6 Mixed Review
G The volume of the box
When you finish this page, you can check off h a box on your TEKS Tracker, page 69. TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
TAKS Objective 6 Mixed Review
Date ————————————
Grade 6 Mathematics Chart Length Metric
Customary
1 kilometer 5 1000 meters
1 mile 5 1760 yards
1 meter 5 100 centimeters
1 mile 5 5280 feet
1 centimeter 5 10 millimeters
1 yard 5 3 feet 1 foot 5 12 inches
Capacity and Volume Metric
Customary
1 liter 5 1000 milliliters
1 gallon 5 4 quarts 1 gallon 5 128 ounces 1 quart 5 2 pints 1 pint 5 2 cups 1 cup 5 8 ounces
Metric
Customary
1 kilogram 5 1000 grams
1 ton 5 2000 pounds
1 gram 5 1000 milligrams
1 pound 5 16 ounces
Mathematics Chart
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Mass and Weight
Time 1 year 5 365 days 1 year 5 12 months 1 year 5 52 weeks 1 week 5 7 days 1 day 5 24 hours 1 hour 5 60 minutes 1 minute 5 60 seconds
TAKS Objectives Review and Practice Grade 6 TAKS Test
Mathematics Chart
83
Grade 6 Mathematics Chart square
P 5 4s
rectangle
P 5 2* 1 2w or P 5 2(* 1 w)
Circumference
circle
C 5 2p r or C 5 p d
Area
square
A 5 s2
rectangle
A 5 *w or A 5 bh
triangle
A 5 }2 bh or A 5 } 2
trapezoid
A 5 }2 (b1 1 b2)h or A 5 } 2
circle
A 5 pr2
cube
V 5 s3
rectangular prism
V 5 *wh
p
p ø 3.14 or p ø } 7
Perimeter
Volume
bh
(b1 1 b2)h
1
22
Mathematics Chart
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Pi
1
84
Mathematics Chart
TAKS Objectives Review and Practice Grade 6 TAKS Test
Name ——————————————————————— TAKS
Practice Test A Answer Sheet
Sample A: 5 6 7 8
31. 5 6 7 8
18.
1 1 .
Sample B:
3 0 .
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4. : ; < > 5. 5 6 7 8 6. : ; < > 7. 5 6 7 8 8. : ; < > 9. 5 6 7 8 10. : ; < > 11. 5 6 7 8 12. : ; < > 13. 5 6 7 8 14. : ; < >
16. : ; < > 17. 5 6 7 8
TAKS Objectives Review and Practice Grade 6 TAKS Test
34. : ; < > 35. 5 6 7 8 36. : ; < > 37. 5 6 7 8
39. 5 6 7 8 40. : ; < >
1 3 5 . 0 3 0
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22. : ; < > 23. 5 6 7 8 24. : ; < > 25. 5 6 7 8 26. : ; < > 27. 5 6 7 8
Practice Test A Answer Sheet
15. 5 6 7 8
33. 5 6 7 8
38. : ; < >
19. 5 6 7 8
3. 5 6 7 8
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Date ————————————
28. : ; < > 29. 5 6 7 8 30. : ; < >
Practice Test A Answer Sheet
85
Name ———————————————————————
Practice Test B Answer Sheet
Sample A: 5 6 7 8
30. : ; < >
18.
1 5 .
Sample B:
3 0 .
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21.
4. : ; < > 5. 5 6 7 8 6. : ; < > 7. 5 6 7 8 8. : ; < > 9. 5 6 7 8 10. : ; < > 11. 5 6 7 8 12. : ; < > 13. 5 6 7 8
Practice Test B Answer Shhet
14. : ; < > 15. 5 6 7 8 16. : ; < >
32. : ; < > 33. 5 6 7 8 34. : ; < > 35. 5 6 7 8 36. : ; < > 37. 5 6 7 8
19. 5 6 7 8
38. : ; < > 39. 5 6 7 8
6 5 . 2 5
3. 5 6 7 8
86
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22. : ; < > 23. 5 6 7 8 24. : ; < > 25. 5 6 7 8 26. : ; < > 27. 5 6 7 8 28. : ; < > 29. 5 6 7 8
17. 5 6 7 8
Practice Test B Answer Sheet
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
TAKS
Date ————————————
Name ——————————————————————— TAKS
Date ————————————
Practice Test A Practice Test A
DIRECTIONS Read each question. Then fill in the correct answer on your answer document. If a correct answer is not here, mark the letter for “Not here.” SAMPLE A
SAMPLE B
What is the least common multiple of 3 and 4?
What is the area of this rectangle in square feet?
A 7 B
12
C
34
3 ft
D Not here
10 ft
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
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STOP TAKS Objectives Review and Practice Grade 6 TAKS Test
Practice Test A
87
Name ———————————————————————
Practice Test A
TAKS
Date ————————————
Practice Test A
1 Which ordered pair represents a point
located inside both the square and the circle? y 16 14 12 10 8 6 4 2 O
3 Look at the set of numbers below.
1, 4, 9, 16, 25 Which statement best describes these numbers? A They all are factors of 36. B
They all are even numbers.
C
They all are divisible by 3.
D They all are perfect squares. 2
4
6
8 10 12 14 16 x
A (12, 7) B
(9, 12)
C
(14, 14)
D (2, 5)
2 A 20 ounce box of cereal contains Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
8 servings. Which proportion can be used to find x, the number of ounces needed for 192 servings? x 20 192 8 x 8 G }5} 192 20 x 8 H }5} 20 192 x 1 J }5} 192 20 F
}5}
GO ON
88
Practice Test A
TAKS Objectives Review and Practice Grade 6 TAKS Test
Name ——————————————————————— TAKS
Date ————————————
Practice Test A Practice Test A
4 The table shows the payouts of 5 of the largest lottery winners in the past 4 years.
Largest Lottery Payouts Winner
Payout (millions of dollars)
I II III IV V
102.9 177.3 164.4 125.3 116.9
Which graph most accurately displays the information in the table? F
80 60 40 20 I
II III Winner
IV
80 60 40 20 0
J
I
II III Winner
IV
V
80 60 40 20 I
II III Winner
IV
V
Largest Lottery Payouts Payout (millions of dollars)
200 180 160 140 120 100
200 180 160 140 120 100
0
V
Largest Lottery Payouts Payout (millions of dollars)
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Largest Lottery Payouts
200 180 160 140 120 100
0
G
H
Payout (millions of dollars)
Payout (millions of dollars)
Largest Lottery Payouts
200 180 160 140 120 100 80 60 40 20 0
I
II III Winner
IV
V
GO ON TAKS Objectives Review and Practice Grade 6 TAKS Test
Practice Test A
89
Name ———————————————————————
Practice Test A
5 A 6th grade class of 192 students is having
an end of the year swimming party. The party will cost $6.95 per student. Estimate the total cost of the party.
7 A window in Natalie’s home is shaped like a
rhombus.
A $1000
$1400
C
$1600
30 0 5 20 0 1 16
50 60 70 80 40 130 120 110 100 90 90 10 140 80 0
D $2000
Q
140 150 160 170 0 30 20 10 180 130 0 50 4 0 12 0 60 11 0 7
B
0 18 0 1 10 70
Practice Test A
TAKS
Date ————————————
What is the measure of 'Q to the nearest degree? A 55° B
60°
C
120°
6 Jason runs 2 miles per day in April. How
would you find the total number of miles Jason runs during April? F
Add the number of miles per day and the number of days in April.
8 A mother bear produces 2 female cubs. Each
cub grows up to produce 3 cubs. Which diagram could be used to find the total number of bears? F
G Subtract the number of miles per day
from the number of days in April. H
Multiply the number of days in April by the number of miles per day.
J
Divide the number of days in April by the number of miles per day.
G
H J
GO ON
90
Practice Test A
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
D 125°
Name ——————————————————————— TAKS
Date ————————————
Practice Test A
About how long will it take her to do her 46 math problems for homework?
11 Danielle made a large pan of lasagna for a
class party. The picture below shows how much was left after the party.
A 27 min B
37 min
C
77 min
D 87 min
Practice Test A
9 Lauren can do 3 math problems in 5 minutes.
What portion of the lasagna was eaten? 11 A } 12 7 8 5 C } 6 3 D } 4 B
10 A circle with center at point O is shown below.
}
12 A triangle has angles measuring 25° and 35°.
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
What is the measure of the triangle’s third angle? Q
S O
F
60°
G 85° R P
H
120°
J
145°
Which line segment is 2 times the length of the radius? F
Segment QP
G Segment OP H
Segment OQ
J
Segment QR
GO ON TAKS Objectives Review and Practice Grade 6 TAKS Test
Practice Test A
91
Name ———————————————————————
Practice Test A
TAKS
Date ————————————
Practice Test A
13 A small group of 10 students participated in a spelling bee. Each student was asked to
spell 30 words. The table shows the number of words each student spelled correctly.
Student
Number of Words Spelled Correctly
Michael
20
Jessica
24
Christopher
20
Ashley
19
Matthew
20
Sarah
26
Joshua
24
Samantha
18
Tyler
22
Emily
27
What is the median of the number of words spelled correctly?
B
20
C
21
D 22
14 What percent of the figure is shaded?
15 The 6th grade class decides to have a car
wash to raise money for their class party. If they can wash 3 cars in 10 minutes, how many cars can they wash in 2 hours? A 36 cars
F
6%
G 30% H
37.5%
J
60%
B
54 cars
C
60 cars
D 90 cars
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92
Practice Test A
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
A 19
Name ——————————————————————— TAKS
Date ————————————
Practice Test A
basketball. The key is an area of the court that runs from the base line to the foul line. The key is 15 feet by 12 feet. The half-court area is 37 feet by 21 feet. What is the area of the half court, not including the key?
18 Terry is making vests for members of the
school spirit club to wear at a pep rally. Each vest has 3 buttons. The buttons come in packages of 5. What is the minimum number of packages of buttons that Terry will need to make 18 vests?
Practice Test A
16 Xavier and his friends are playing half-court
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Xavier’s Court
15 ft
21 ft
12 ft
. 0
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37 ft
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
F
129 ft2
G 303 ft2 H
597 ft2
J
957 ft2
17 The 6th grade teachers wanted to put their
students into teams having a wide variety of skills. They grouped students by their favorite subject. They found that 72 students favored PE, 60 favored art and music, 36 favored math and science, and 24 favored English and social science. Then they formed teams from these groups. What is the greatest number of teams that can be created so that each group is divided equally among all the teams? A 3 teams B
6 teams
C
12 teams
19 For homework Greg’s English teacher always
assigns some vocabulary words to define and use in a sentence and 20 minutes of reading. If each vocabulary word takes him 3 minutes, which equation can be used to find t, the time in minutes of his English assignment for x vocabulary words? A t 5 20(x 1 3) B
t 5 20x 1 3
C
t 5 3(x 1 20)
D t 5 3x 1 20
D 24 teams
GO ON TAKS Objectives Review and Practice Grade 6 TAKS Test
Practice Test A
93
Name ———————————————————————
Practice Test A
20 Murray Junior High School collected the
following data from students. Favorite Color of Sixth Grade Students
Number of Students
Practice Test A
TAKS
Date ————————————
51 48 45 42 39 36 33 30 27 24 21 18 15 12 9 6 3
21 The 6th grade class raised $726.42 for food,
decorations, and prizes for their class party. They spent $473.92 on food and $117.47 on decorations. How much did they have to spend on prizes? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
. 0
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w gr ee n bl ue in di go vi ol et bl ac k
ge
ye
llo
d re
an
or
w
hi
te
0
F
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Which statement is supported by the graph? Yellow and black are the favorite colors of the same number of students.
G Red, orange and yellow are the favorite
colors of more students than green, blue, and indigo. H
More than 25% of the students prefer green and blue.
J
Yellow is the favorite color of 27 students.
GO ON
94
Practice Test A
TAKS Objectives Review and Practice Grade 6 TAKS Test
Name ——————————————————————— TAKS
Practice Test A
equipment sold is for football, 15% is for baseball, 45% is for basketball, and 20% is for hockey. Which graph best represents these data?
23 The figure below models the circumference
and radius of a circular swimming pool.
r O
Big Time Sports Store
Hockey
Practice Test A
22 At Big Time Sports Store, 20% of the
F
Date ————————————
Football Baseball
Basketball
If the circumference of the swimming pool is known, which method can be used to find the radius? A Divide the circumference by 2:.
G
Big Time Sports Store
B
Multiply the circumference by 2:.
C
Divide the circumference by :.
D Multiply the circumference by :. Hockey
Football
Basketball Baseball
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
24 The perimeter of this square is 20 centimeters. H
Big Time Sports Store
a
Hockey Basketball
Which best explains why the value of a is 5 centimeters? Football
Baseball
F
5 is a factor of 20.
G A quadrilateral has 4 sides.
J
Big Time Sports Store
H
All 4 sides of a square have the same length.
J
The sum of the measures of the 4 angles of a square equals 360°.
Football Hockey
Baseball
Basketball
GO ON TAKS Objectives Review and Practice Grade 6 TAKS Test
Practice Test A
95
Name ———————————————————————
Practice Test A
TAKS
Date ————————————
Practice Test A
25 The table below shows the volume of cubes
for cubes with sides of several lengths. Which formula can be used to find the volume V of a cube with sides of length s? Length (units)
Volume (cubic units)
2
8
3
27
4
64
5
125
s
?
27 Nora goes to the Farmer’s Market. Tomatoes
cost $1.10 per pound and lettuce is $.50 per head. She buys 3 pounds of tomatoes and 2 heads of lettuce. How can Nora determine how much money she has spent? A Divide the sum of $1.10 and $.50 by the
product of 3 and 2. B
Add the product of $1.10 and 3 to the product of $.50 and 2.
C
Multiply the product of 3 and 2 by the sum of $1.10 and $.50.
D Subtract the product of $.50 and 2 from
the product of $1.10 and 3.
A V5s16 B
V 5 3s2
C
V 5 4s
26 On a test Adrian got 36 answers correct and
8 answers incorrect. What is the ratio of his correct answers to his incorrect answers? F
2 to 9
G 9 to 2 H
9 to 11
J
11 to 4
28 At a pool party, the students played water
games. In one game, teams of 13 raced to fill a bucket with water. Each person on the team 1 had to swim a length of the pool with a }2 cup of water, empty the water into the bucket, and then swim back to give the measuring cup to the next person on the team. By the end of the race each team had filled their 13
bucket with } cups of water. How much 2 13
is } ? 2 F
0.2
G 5.6 H
6.5
J
13.5
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96
Practice Test A
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
D V 5 s3
Name ——————————————————————— TAKS
Practice Test A
pool deck. Nicole is 5 feet tall. What integer can be used to describe the location of the top of Nicole’s head when she stands on the bottom of this pool? A 25 ft B
27 ft
C
212 ft
D 217 ft
31 At a softball game, Sally pitched the ball
45 times and threw 18 strikes. Heather pitched the ball 32 times and threw 12 strikes. Jill pitched the ball 12 times and threw 8 strikes. Which statement about these ratios of strikes to pitches is true? 3 A } } } 8 2 B } } } 3 3 C } } } 8 2 D } } } 3
30 Nathan and his family went out to dinner and
32 Lauren used toothpicks to show how regular
then attended a movie. They left for dinner at 4:50 P.M. and returned after the movie at 9:05 P.M. About how many hours elapsed between the time Nathan’s family left and the time they returned?
hexagons fit together to form a pattern. Each toothpick is 7 centimeters long.
F
Practice Test A
29 The deep end of a pool is 12 feet below the
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Date ————————————
4h
G 5h H
6h
J
7h
What is the total length of toothpicks used in the pattern? F
343 cm
G 371 cm H
427 cm
J
504 cm
GO ON TAKS Objectives Review and Practice Grade 6 TAKS Test
Practice Test A
97
Name ———————————————————————
Practice Test A
TAKS
Date ————————————
Practice Test A
33 Coach Reyes rents 1 large van and 3 small
vans to take his team to a tournament. Each small van costs $24 per day. The large van costs a flat fee of $100. Read the problem-solving steps shown below. Arrange the steps in the correct order for Coach Reyes to find the total cost of renting the vans for 3 days. Step W: Multiply by the number of days. Step X: Add the cost of the large van. Step Y: Write down the cost per day for a small van. Step Z: Multiply by the number of small vans.
35 The Lauren Museum has quite an extensive
dinosaur fossil collection. They have 2 Tyrannosaurus Rexes, 4 Velociraptors, 1 Brontosaurus, and 1 Triceratops. Each fossil is equally likely to be randomly selected for display in the museum. What is the probability that the fossil chosen is a Brontosaurus? 1 A } 4 7 B } 8 1 C } 8 3 D } 4
Which list shows the steps in the correct order?
B
X, Y, Z, W
C
Y, W, X, Z
D Y, Z, W, X
34 The table below shows the perimeter of a
garden with a width of 3 feet and several lengths. Which formula can be used to find the perimeter P of a garden with a length *?
F
36 A rancher plans to fence in a rectangular
piece of land with an area of 1200 square yards. Fencing costs $2.50 per yard. What missing information will the rancher need to determine the total cost of the fence?
Length (feet)
Perimeter (feet)
3
12
G The width of the piece of land
5
16
H
The cost of 1 square yard of land
7
20
J
The width of 1 square yard of land
9
24
*
?
F
The cost of the piece of land
P 5 3* 1 2
G P 5 3(* 1 2)
98
H
P 5 2* 1 3
J
P 5 2(* 1 3)
Practice Test A
GO ON TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
A X, W, Y, Z
Name ——————————————————————— TAKS
Date ————————————
Practice Test A
18 gallons. About how far will his car travel on 7 gallons? A 157 miles B
175 miles
C
212 miles
39 Which is the prime factorization of 192? A 2 + 34 B
22 + 34
C
24 + 32
D 26 + 3
Practice Test A
37 Tom’s car travels about 450 miles on
D 236 miles
38 The total distance around this circular garden
path is 75 meters.
40 Alyssa’s yard is in the shape of a trapezoid.
The sides of the yard form angles measuring 45°, 110°, and 135°. What is the measure of the fourth angle? garden
1108
1358
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
path
Which best describes how to find the straight-line distance from the center of the garden to a point on the path? F
Add 2: and 75.
G Subtract 2: from 75. H
Multiply 75 by 2:.
J
Divide 75 by 2:.
?
F
458
70°
G 85° H
110°
J
145°
GO ON TAKS Objectives Review and Practice Grade 6 TAKS Test
Practice Test A
99
Name ———————————————————————
Practice Test A
41 What point on the grid below corresponds to 2 the coordinate pair 7 }3 , 3 ?
1
y 16 14 12 10 8 6 4 2 O
boats in 4 color choices. Which table shows all the possible boat combinations Splash Boat Company offers? A
Boat Combinations Boat Color Sport Red Sport Blue Sport Grey Fishing Red Fishing Blue Fishing Yellow
B
Boat Combinations Boat Color Sport Red Sport Blue Sport Grey Sport Yellow Fishing Red Fishing Blue Fishing Grey Fishing Yellow
C
Boat Combinations Boat Color Sport Red Fishing Blue
D
Boat Combinations Boat Color Sport Red Sport Blue Sport Red Sport Blue Fishing Red Fishing Blue Fishing Red Fishing Blue
L
K
M
N 2
2
43 Splash Boat Company produces 2 types of
4
6
8 10 12 14 16 x
A Point K B
Point L
C
Point M
D Point N
42 In the election for class president, Sam got
56% of the votes. What fraction of the voters voted for Sam? 3 F } 5 5 G } 6 14 H } 25 25 J } 56
GO ON
100
Practice Test A
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Practice Test A
TAKS
Date ————————————
Name ——————————————————————— TAKS
Date ————————————
Practice Test A
triangle has a measure of 60°.
46 Some heavy-duty dump trucks can carry
23 tons of material. How many pounds is this? F
2300 lb
G 4600 lb H
23,000 lb
J
46,000 lb
Practice Test A
44 The angle at each vertex of an equilateral
608
What type of angle is at each vertex of an equilateral triangle? F
Obtuse
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
G Right H
Straight
J
Acute
1 45 In April, a town had 11} inches of rain. 2 3 In May, it had 7}4 inches. In June, it had 2 6}3 inches of rain. How much rain did the
town get during the three-month period? 5 A 24} in. 6 11
B
24} in. 12
C
25} in. 12
11
23 D 25} in. 24
STOP TAKS Objectives Review and Practice Grade 6 TAKS Test
Practice Test A
101
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen A
INSTRUCCIONES Lee cada pregunta. Después rellena la respuesta correcta en tu hoja de respuestas. Si no hay ninguna respuesta correcta, marca la letra que corresponde a “Ninguna”. EJEMPLO A
EJEMPLO B
¿Cuál es el mínimo común múltiplo de 3 y 4?
¿Cuál es el área en pies cuadrados de este rectángulo?
A 7
12
C
34
3 pies
D Ninguna 10 pies
Anota tu respuesta y rellena los círculos en tu hoja de respuestas. Asegúrate de usar el valor posicional correcto.
Práctica: Examen A
B
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
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PARA TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Práctica: Examen A
103
Nombre —————————————————————— TAKS
Práctica: Examen A
1 ¿Qué par ordenado representa un punto
situado dentro del cuadrado y del círculo? y 16 14 12 10 8 6 4 2
Práctica: Examen A
Fecha ———————————
O
3 Fíjate en el siguiente conjunto de números.
1, 4, 9, 16, 25 ¿Qué oración describe mejor estos números? A Todos son factores de 36. B
Todos son números pares.
C
Todos son divisibles por 3.
D Todos son raíces cuadradas exactas. 2
4
6
8 10 12 14 16 x
A (12, 7) B
(9, 12)
C
(14, 14)
D (2, 5)
2 Una caja de cereales de 20 onzas contiene Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
8 porciones. ¿Qué proporción puede usarse para hallar x, el número de onzas que se necesitan para obtener 192 porciones? x 20 192 8 x 8 G }5} 192 20 x 8 H }5} 20 192 x 1 J }5} 192 20 F
}5}
CONTINÚA
104
Práctica: Examen A
TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen A
4 La tabla muestra los premios que consiguieron los 5 mayores ganadores de lotería en los
últimos 4 años. Mayores premios de lotería Ganador
Premio (millones de dólares)
I II III IV V
102.9 177.3 164.4 125.3 116.9
F
Mayores premios de lotería Premio (millones de dólares)
80 60 40 20 I
II III IV Ganador
Mayores premios de lotería 200 180 160 140 120 100 80 60 40 20 0
I
II III IV Ganador
V
200 180 160 140 120 100 80 60 40 20 0
V
J
I
II III IV Ganador
V
Mayores premios de lotería Premio (millones de dólares)
G
H
200 180 160 140 120 100
0
Premio (millones de dólares)
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Premio (millones de dólares)
Mayores premios de lotería
Práctica: Examen A
¿Qué gráfica describe con mayor exactitud la información de la tabla?
200 180 160 140 120 100 80 60 40 20 0
I
II III IV Ganador
V
CONTINÚA TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Práctica: Examen A
105
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen A
5 Una clase de 6º Grado con 192 estudiantes
va a celebrar una fiesta de fin de año en la piscina. La fiesta costará $6.95 por estudiante. Estima el costo total de la fiesta.
7 Una de las ventanas en casa de Natalie tiene
forma de rombo.
A $1000
C
$1600
50 60 70 80 40 130 120 110 100 90 0 90 10 30 0 1 4 5 80 0 20 0 1 6 1
0 18 0 1 10 70
$1400
Práctica: Examen A
D $2000
Q
140 150 160 170 0 30 20 10 180 130 0 50 4 0 12 0 60 11 0 7
B
¿Qué mide 'Q redondeado al grado más cercano? A 55° B
60°
C
120°
6 En abril, Jason corrió 2 millas por día.
¿Cómo hallarías el número total de millas que Jason corrió en abril? F
Sumando el número de millas por día y el número de días que tiene abril.
8 Una madre oso tiene 2 cachorros hembra.
Cada cachorro hembra crece y tiene 3 cachorros. ¿Qué diagrama podrías usar para hallar el número total de osos? F
G Restando el número de millas por día
del número de días que tiene abril. H
J
Multiplicando el número de días que tiene abril por el número de millas por día. Dividiendo el número de días que tiene abril por el número de millas por día.
G
H J
CONTINÚA
106
Práctica: Examen A
TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
D 125°
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen A
9 Lauren hace 3 problemas de matemáticas
en 5 minutos. Aproximadamente, ¿cuánto tiempo tardará en hacer los 46 problemas que tiene como tarea para casa?
11 Danielle hizo una lasaña grande para una
fiesta de clase. El siguiente dibujo muestra cuánto quedó después de la fiesta.
A 27 min. B
37 min.
C
77 min.
¿Qué porción de la lasaña se comieron?
D 87 min.
11 A } 12 7 8 5 C } 6 3 D } 4
10 A continuación se muestra un círculo cuyo
12 Dos ángulos de un triángulo miden 25º y 35º.
¿Cuánto mide el tercer ángulo?
centro es el punto O. Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
}
Práctica: Examen A
B
F Q
S O R
60°
G 85° H
120°
J
145°
P
¿Qué segmento de recta tiene 2 veces la longitud del radio? F
Segmento QP
G Segmento OP H
Segmento OQ
J
Segmento QR
CONTINÚA TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Práctica: Examen A
107
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen A
13 Un grupo pequeño de 10 estudiantes participó en concurso de ortografía. Cada estudiante tuvo
Práctica: Examen A
que deletrear 30 palabras. La tabla muestra el número de palabras deletreadas correctamente por cada estudiante.
Estudiante
Número de palabras correctas
Michael
20
Jessica
24
Christopher
20
Ashley
19
Matthew
20
Sarah
26
Joshua
24
Samantha
18
Tyler
22
Emily
27
A 19 B
20
C
21
D 22
14 ¿Qué porcentaje de la figura está sombreado?
15 La clase de 6º grado decide lavar carros y
así recaudar dinero para la fiesta de la clase. Si lavan 3 carros en 10 minutos, ¿cuántos carros lavarán en 2 horas? A 36 carros
F
6%
G 30% H
37.5%
J
60%
B
54 carros
C
60 carros
D 90 carros
CONTINÚA
108
Práctica: Examen A
TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
¿Cuál es la mediana del número de palabras deletreadas correctamente?
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen A
16 Xavier y sus amigos están jugando al
baloncesto en media pista. La zona es un área de la pista que va desde la línea de base a la de falta. La zona tiene 15 por 12 pies. El área de la media pista mide 37 por 21 pies. ¿Cuál es el área de la media pista, sin incluir la zona? Pista de Xavier
en una reunión los miembros del club de animación de la escuela. Cada chaleco tiene 3 botones. Los botones se venden en paquetes de 5. ¿Cuál es el número mínimo de paquetes de botones que Terry necesita para hacer 18 chalecos? Anota tu respuesta y rellena los círculos en tu hoja de respuestas. Asegúrate de usar el valor posicional correcto.
.
37 pies
F
2
129 pies
2
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
G 303 pies H
597 pies2
J
957 pies2
17 Los maestros de 6º grado querían dividir a
sus estudiantes por equipos que tuvieran una gran variedad de destrezas. Agruparon a los estudiantes por su tema favorito. Hallaron que 72 estudiantes preferían educación física, 60 arte y música, 36 matemáticas y ciencias y 24 inglés y ciencias sociales. Después formaron los equipos con estos grupos. ¿Cuál es el número máximo de equipos que se puede hacer de modo que cada grupo esté divido por igual entre todos los equipos? A 3 equipos B
6 equipos
C
12 equipos
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Práctica: Examen A
21 pies
15 pies
12 pies
18 Terry está haciendo chalecos que llevarán
19 Como tarea para casa, el maestro de inglés
de Greg siempre manda definir y usar en una frase algunas palabras del vocabulario y 20 minutos de lectura. Si Greg tarda 3 minutos con cada palabra, ¿qué ecuación puede usarse para hallar t, el tiempo en minutos que tarda en hacer su tarea de inglés para x palabras? A t 5 20(x 1 3) B
t 5 20x 1 3
C
t 5 3(x 1 20)
D t 5 3x 1 20
D 24 equipos
CONTINÚA TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Práctica: Examen A
109
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen A
20 La escuela intermedia Murray reunió estos
datos sobre sus estudiantes.
Número de estudiantes
Práctica: Examen A
Estudiantes de 6º grado: Color favorito 51 48 45 42 39 36 33 30 27 24 21 18 15 12 9 6 3
21 La clase de 6º Grado recaudó para su fiesta
$726.42 para comida, adornos y premios. Gastaron $473.92 en comida y $117.47 en adornos. ¿Cuánto les quedó para gastar en premios? Anota tu respuesta y rellena los círculos en tu hoja de respuestas. Asegúrate de usar el valor posicional correcto.
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o ve rd e az u ín l di g vi o ol et a ne gr o
ill ar
am
nj
a
jo ro
ra
na
bl
an
co
0
F
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
¿Qué oración está apoyada por los datos de la gráfica? El amarillo y el negro son los colores favoritos del mismo número de estudiantes.
G El rojo, el naranja y el amarillo son los
colores favoritos de más estudiantes que el verde, el azul y el índigo. H
Más del 25% de los estudiantes prefieren el verde y el azul.
J
El amarillo es el color favorito de 27 estudiantes.
CONTINÚA
110
Práctica: Examen A
TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Nombre —————————————————————— TAKS
Práctica: Examen A
22 En la tienda de deportes Big Time, el 20%
del equipamiento vendido es para fútbol americano, el 15% es para béisbol, el 45% para baloncesto y el 20% para hockey. ¿Qué gráfica representa mejor estos datos? F
Fecha ———————————
23 La siguiente figura sirve como modelo
de la circunferencia y el radio de una piscina redonda.
Tienda de deportes Big Time
r O
Hockey
Fútbol americano Béisbol
A Dividir la circunferencia por 2:. G
Tienda de deportes Big Time
Hockey
Fútbol americano
B
Multiplicar la circunferencia por 2:.
C
Dividir la circunferencia por :.
D Multiplicar la circunferencia por :.
Práctica: Examen A
Baloncesto
Si se conoce la circunferencia de la piscina, ¿qué método puede usarse para hallar el radio?
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Baloncesto Béisbol
24 El perímetro de este cuadrado mide H
20 centímetros. Tienda de deportes Big Time Hockey
a
Baloncesto
Béisbol
Fútbol americano
¿Qué afirmación explica mejor por qué el valor de a es 5 centímetros? F
5 es factor de 20.
G Un cuadrilátero tiene 4 lados. J
Tienda de deportes Big Time
H
Los 4 lados de un cuadrado tienen la misma longitud.
J
La suma de los 4 ángulos de un cuadrado es 360°.
Fútbol americano
Hockey
Béisbol
Baloncesto
CONTINÚA TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Práctica: Examen A
111
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen A
25 La siguiente tabla muestra el volumen
Longitud (unidades)
Volúmen (unidades cúbicas)
2
8
3
27
4
64
5
125
s
?
27 Nora va al mercado de agricultores. Los
tomates cuestan $1.10 por libra y la lechuga $.50 por unidad. Compra 3 libras de tomates y 2 lechugas. ¿Cómo puede saber Nora cuánto dinero ha gastado? A Dividiendo la suma de $1.10 y $.50 por
el producto de 3 y 2. B
Sumando el producto de $1.10 y 3 y el producto de $.50 y 2.
C
Multiplicando el producto de 3 y 2 por la suma de $1.10 y $50.
D Restando el producto de $.50 y 2 del
producto de $1.10 y 3.
A V5s16 B
V 5 3s2
C
V 5 4s
D V 5 s3
26 En un examen, Adrián obtuvo 36 respuestas
correctas y 8 incorrectas. ¿Cuál es la razón de sus respuestas correctas a las incorrectas? F
2a9
G 9a2 H
9 a 11
J
11 a 4
28 En una fiesta de piscina, los estudiantes
hacen juegos acuáticos. En un juego, equipos de 13 jugadores consursaron para llenar un cubo de agua. Cada jugador de un equipo 1 tuvo que nadar un largo de la piscina con }2 taza de agua, vaciar el agua en el cubo y después volver nadando para dar la taza de medir al próximo compañero. Al final de la carrera, cada equipo había llenado su cubo 13
13
con } tazas de agua. ¿Cuánto es } ? 2 2 F
0.2
G 5.6 H
6.5
J
13.5
CONTINÚA
112
Práctica: Examen A
TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Práctica: Examen A
de cubos con lados de distinta longitud. ¿Qué fórmula puede usarse para hallar el volumen V de un cubo cuyo lado tiene una longitud s?
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen A
29 El lado profundo de una piscina está 12 pies
A 25 pies
3 A } } } 8 2 B } } } 3 3 C } } } 8 2 D } } } 3
B
27 pies
C
212 pies
30 Nathan y su familia salieron a cenar y
después fueron al cine. Salieron de casa a las 4:50 p.m. y volvieron después de la película a las 9:05 p.m. ¿Aproximadamente cuántas horas pasaron entre que la familia de Nathan salió y volvió? F
Práctica: Examen A
pelota 45 veces e hizo 18 strikes. Heather lanzó 32 veces y consiguió 12 strikes. Jill lanzó 12 veces y consiguió 8 strikes. ¿Qué enunciado sobre estas razones de lanzamientos a strikes es verdadero?
D 217 pies
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
31 En un partido de softball, Sally lanzó la
por debajo de la terraza de la piscina. Nicole mide 5 pies. ¿Qué número entero puede usarse para describir dónde está la cabeza de Nicole cuando está de pie sobre el fondo de la piscina?
32 Lauren usó palillos para demostrar cómo los
hexágonos regulares se unen formando un patrón. Cada palillo mide 7 centímetros de largo.
4h
G 5h H
6h
J
7h ¿Qué longitud total miden los palillos usados en el patrón? F
343 cm
G 371 cm H
427 cm
J
504 cm
CONTINÚA TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Práctica: Examen A
113
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen A
33 El entrenador Reyes alquila 1 furgoneta
grande y 3 pequeñas para llevar a su equipo a un torneo. Cada furgoneta pequeña cuesta $24 por día. La furgoneta grande tiene una tarifa fija de $100. Lee los siguientes pasos para resolver problemas. Ordénalos correctamente de forma que el entrenador Reyes halle el costo total del alquiler de las furgonetas para 3 días. Práctica: Examen A
Paso W: Multiplicar por el número de días. Paso X: Sumar el costo de la furgoneta grande. Paso Y: Anotar el costo por día de la furgoneta pequeña.
35 El Museo Lauren tiene una extensa
colección de fósiles de dinosaurio. Tienen 2 tiranosaurios rex, 4 velociraptores, 1 brontosaurio y 1 triceratops. Cada fósil tiene las mismas posibilidades de ser seleccionado al azar para la exhibición del museo. ¿Qué probabilidad hay de que el fósil elegido sea un brontosaurio? 1 A } 4 7 B } 8 1 C } 8 3 D } 4
Paso Z: Multiplicar por el número de furgonetas pequeñas.
A X, W, Y, Z
C
Y, W, X, Z
X, Y, Z, W
D
Y, Z, W, X
B
36 Un ranchero tiene pensado cercar un terreno 34 La tabla siguiente muestra el perímetro
de un jardín con 3 pies de ancho y varias longitudes. ¿Qué fórmula puede usarse para hallar el perímetro P de un jardín con una longitud *?
F
cuya área mide 1200 yardas cuadradas. La valla cuesta $2.50 por yarda. ¿Qué información falta para que el ranchero pueda determinar cuál será el costo total de la valla? El costo del terreno
Longitud (pies)
Perímetro (pies)
F
3
12
H
El costo de 1 yarda cuadrada de terreno
5
16
J
El ancho de 1 yarda cuadrada de terreno
7
20
9
24
*
?
G El ancho del terreno
P 5 3* 1 2
G P 5 3(* 1 2)
114
H
P 5 2* 1 3
J
P 5 2(* 1 3)
Práctica: Examen A
CONTINÚA TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
¿Qué lista muestra los pasos en el orden correcto?
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen A
37 El carro de Tom viaja unas 450 millas con
18 galones. ¿Qué distancia aproximada recorrerá el carro con 7 galones? A 157 millas B
175 millas
C
212 millas
39 ¿Cuál es la descomposición en factores
primos de 192? A 2 + 34 B
22 + 34
C
24 + 32
D 26 + 3
D 236 millas
este jardín circular es de 75 metros.
jardín
40 El jardín de Alyssa tiene forma de trapecio.
Los extremos del jardín forman ángulos que miden 45º, 110º y 135º. ¿Cuánto mide el cuarto ángulo? 1108
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
sendero
¿Qué instrucción describe mejor cómo hallar la distancia en línea recta desde el centro del jardín a un punto en el sendero? F
Sumar 2: y 75.
G Restar 2: de 75.
?
F
Práctica: Examen A
38 La distancia total alrededor del sendero de
1358
458
70°
G 85°
H
Multiplicar 75 por 2:.
H
110°
J
Dividir 75 por 2:.
J
145°
CONTINÚA TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Práctica: Examen A
115
Nombre ——————————————————————
Práctica: Examen A
41 ¿Qué punto de la siguiente cuadrícula
1
2 3
2
corresponde al par de coordenadas 7 }, 3 ?
Práctica: Examen A
y 16 14 12 10 8 6 4 2 O
de botes en 4 colores a elegir. ¿Qué tabla muestra todas las combinaciones posibles de colores que ofrece Splash Boat? A
Combinaciones de botes Botes Color Deportivo Rojo Deportivo Azul Deportivo Gris De pesca Rojo De pesca Azul De pesca Amarillo
B
Combinaciones de botes Botes Color Deportivo Rojo Deportivo Azul Deportivo Gris Deportivo Amarillo De pesca Rojo De pesca Azul De pesca Gris De pesca Amarillo
C
Combinaciones Botes Deportivo De pesca
de botes Color Rojo Azul
D
Combinaciones Botes Deportivo Deportivo Deportivo Deportivo De pesca De pesca De pesca De pesca
de botes Color Rojo Azul Rojo Azul Rojo Azul Rojo Azul
L
K
M
N 2
43 La compañía Splash Boat fabrica 2 tipos
4
6
8 10 12 14 16 x
A Punto K B
Punto L
C
Punto M
D Punto N
42 En la elección del presidente de clase, Sam
obtuvo el 56% de los votos. ¿Qué fracción de los electores votó por Sam? 3 5 5 G } 6 14 H } 25 25 J } 56 F
}
CONTINÚA
116
Práctica: Examen A
TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
TAKS
Fecha ———————————
Nombre —————————————————————— TAKS
Fecha ———————————
Práctica: Examen A
44 El ángulo en cada vértice de un triángulo
equilátero mide 60º.
46 Algunos camiones de basura pueden
transportar 23 toneladas de material. ¿Cuántas libras representa esta cantidad? F
2300 lb.
G 4600 lb.
608
H
23,000 lb.
J
46,000 lb.
¿Qué tipo de ángulo está en cada vértice de un triángulo equilátero? Práctica: Examen A
F
Obtuso
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
G Recto H
Llano
J
Agudo
1 45 En abril, una ciudad tuvo 11} pulgadas de 2 3 lluvia. En mayo, tuvo 7}4 pulgadas. En junio, 2 tuvo 6}3 pulgadas. ¿Cuánto llovió en la
ciudad en esos tres meses? 5 A 24} pulg. 6 11
B
24} pulg. 12
C
25} pulg. 12
11
23 D 25} pulg. 24
PARA TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Práctica: Examen A
117
Name ——————————————————————— TAKS
Date ————————————
Practice Test B
DIRECTIONS Read each question. Then fill in the correct answer on your answer document. If a correct answer is not here, mark the letter for “Not here.” SAMPLE A
SAMPLE B
What is the least common multiple of 3 and 4?
What is the area of this rectangle in square feet?
A 7 B
12
C
34
3 ft
10 ft
D Not here
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 0
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Practice Test B
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
. 0
STOP TAKS Objectives Review and Practice Grade 6 TAKS Test
Practice Test B
119
Name ——————————————————————— TAKS
Date ————————————
Practice Test B
1 Which ordered pair represents a point
located inside both the triangle and the quadrilateral?
1, 2, 3, 4, 6, 8, 12, 24 Which statement best describes these numbers?
y 16 14 12 10 8 6 4 2 O
3 Look at the set of numbers below.
A They all are even numbers. B
They all are factors of 24.
C
They all are divisible by 3.
D They all are perfect squares. 2
4
6
8 10 12 14 16 x
A (6, 9) B
(7, 14)
C
(9, 14)
D (10, 16)
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Practice Test B
2 A 15 ounce box of cereal contains
14 servings. Which proportion can be used to find x, the number of ounces needed for 300 servings? x 14 300 15 x 15 G }5} 300 14 x 14 H }5} 15 300 x 1 J }5} 300 15 F
}5}
GO ON
120
Practice Test B
TAKS Objectives Review and Practice Grade 6 TAKS Test
Name ——————————————————————— TAKS
Date ————————————
Practice Test B
4 The table shows the weights of 5 sixth grade teachers.
Sixth Grade Teacher Weights Teacher
Weight (pounds)
I
112
II
153
III
210
IV
181
V
123
Which graph most accurately displays the information in the table? Sixth Grade Teacher Weights 250 200 150 100 50 0
I
II III Teacher
IV
Sixth Grade Teacher Weights
V
250 200 150 100 50 0
I
II III Teacher
IV
V
J 250 200 150 100 50 0
I
II III Teacher
IV
V
Sixth Grade Teacher Weights 250 200 150 100
Practice Test B
Weight (pounds)
Sixth Grade Teacher Weights
Weight (pounds)
G Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
H
Weight (pounds)
Weight (pounds)
F
50 0
I
II III Teacher
IV
V
GO ON TAKS Objectives Review and Practice Grade 6 TAKS Test
Practice Test B
121
Name ——————————————————————— TAKS
Date ————————————
Practice Test B
5 A 6th grade class of 154 students is having
7 Maya has a fire escape outside her home.
an end of the year swimming party. The party will cost $9.95 per student. Estimate the total cost of the party.
The fire escape makes an angle with the ground. This is represented by / X in the figure below.
A $1100 Platform
B
$1300
C
$1500
Stairs
170 180 0 160 0 20 10 15 0 30 14 0 4
0 10 180 170 1 20 3 60 15 0 4 0 14 0 0
D $1700
80 90 100 70 100 90 80 110 1 70 2 60 0 110 60 0 1 2 3 50 0 1 50 0 13
X
Ground
What is the measure of the angle formed between the fire escape and the ground? A 50° B
60°
C
125°
6 When it is open, a factory ships 240 boxes
per day. The factory is open 28 days in January. How would you find the number of boxes the factory ships in January? F
Add the number of boxes per day to the number of days the factory is open.
8 In a card game, each red card (R) is equal to
2 yellow cards (Y). Each yellow card is equal to 2 green cards (G). Which diagram could you use to find the number of green cards equal to 3 red cards? F
R
G Subtract the number of days the factory
Y
is open from the number of boxes per day. H J
Multiply the number of days the factory is open by the number of boxes per day. Divide the number of boxes per day by the number of days the factory is open.
R Y
G G
G
R
H
RRR
R
Y
Y
G G G G YY YY
Y
G G G G
Y G G
GG GG
R
J YY
YY
GG GG GG GG
GO ON
122
Practice Test B
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Practice Test B
D 130°
Name ——————————————————————— TAKS
Date ————————————
Practice Test B
9 Lauren can do 5 math problems in 3 minutes.
About how long will it take her to do her 31 math problems for homework?
11 Danielle made a large pan of lasagna for a
class party. The picture below shows how much was left after the party.
A 18 min B
24 min
C
30 min What portion of the lasagna was eaten?
D 36 min
11 A } 12 7 B } 8 5 C } 6 3 D } 4
10 A circle with center at point O is shown
below.
12 A quadrilateral has angles with measures of
70°, 85°, and 100°. What is the measure of the quadrilateral’s fourth angle? C
F
25° Practice Test B
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
E
G 45° D
O
H
90°
J
105°
B
1 Which line segment is }2 the length of
the diameter? F
Segment OC
G Segment CB H
Segment DB
J
Segment CD
GO ON TAKS Objectives Review and Practice Grade 6 TAKS Test
Practice Test B
123
Name ——————————————————————— TAKS
Date ————————————
Practice Test B
13 A small group of 10 students participated in a spelling bee. Each student was asked to
spell 30 words. The table shows the number of words each student spelled correctly. Student
Number of Words Spelled Correctly
Michael Jessica Christopher Ashley Matthew Sarah Joshua Samantha Tyler Emily
20 24 20 19 20 26 24 18 22 27
What is the mode of the number of words spelled correctly?
B
20
C
22
Practice Test B
D 24
14 What percent of the figure is shaded?
15 The 6th grade class decides to have a car
wash to raise money for their class party. If they can wash 7 cars in ten minutes, how many cars can they wash in 3 hours? A 21 cars
F
3%
G 18.75% H
28.125%
J
37.5%
B
126 cars
C
189 cars
D 378 cars
GO ON
124
Practice Test B
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
A 18
Name ——————————————————————— TAKS
Practice Test B
16 Tyler’s dog has a mass of about
29.25 kilograms. How many grams is this? F
Date ————————————
0.02925 g
G 0.2925 g H
2925 g
J
29,250 g
18 Ms. Parker buys stickers for her 19 art
students’ next project. The stickers come in packages of 4. Each student will need 3 stickers. What is the minimum number of packages of stickers that Ms. Parker needs to buy? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
17 The 6th grade teachers wanted to put their
students into teams having a wide variety of skills. They grouped students by their favorite subject. They found that 60 students favored PE, 45 favored art and music, 30 favored math and science, and 24 favored English and social science. Then they formed teams from these groups. What is the greatest number of teams that can be created so that each group is divided equally among all the teams?
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19 Julie earns a weekly allowance based on the
work she does during the week. She is paid $7 for mowing the lawn and $5 for each hour of babysitting. Which equation can be used to find a, Julie’s allowance for mowing the lawn and babysitting her brother h hours? A a 5 5(h 1 7) B
a 5 5h 1 7
C
a 5 7(h 1 5)
Practice Test B
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
. 0
D a 5 7h 1 5
A 3 teams B
6 teams
C
12 teams
D 15 teams
GO ON TAKS Objectives Review and Practice Grade 6 TAKS Test
Practice Test B
125
Name ——————————————————————— TAKS
Practice Test B
20 Murray Junior High School collected the
following data from students. Favorite Color of Sixth-Grade Students
Number of Students
Date ————————————
50 45 40 35 30 25 20 15 10
22 At Big Time Sports Store, 15% of the
equipment sold is for football, 20% is for baseball, 25% is for basketball, and 40% is for hockey. Which graph best represents these data? F
Big Time Sports Store
Hockey
Football Baseball
Basketball
5
te hi w
re or d an g ye e llo w gr ee n bl ue in di go vi ol et bl ac k
0
G
Big Time Sports Store
Which statement is supported by the graph? F
Orange and violet are the favorite colors of the same number of students.
Hockey
Football
G White, orange and yellow are the favorite
colors of fewer students than indigo, violet and black.
J
More than 25% of the students prefer white and indigo.
H
Black is the favorite color of 33 students.
Hockey Basketball
21 The 6th grade class raised $371.62 for food,
decorations, and prizes for their class party. They spent $247.92 on food and $58.45 on decorations. How much did they have to spend on prizes? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Big Time Sports Store
J
Big Time Sports Store
.
126
Football
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Practice Test B
Football
Baseball
Hockey
Baseball
Basketball
GO ON TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Practice Test B
H
Basketball Baseball
Name ——————————————————————— TAKS
Date ————————————
Practice Test B
23 Olivia’s family is doing yard work. The
wheel on the wheelbarrow needs to be replaced, and she is asked to find its circumference.
25 The table below shows the area of a
rectangle whose length is twice its width, w. Which formula can be used to find the area A of a rectangle of this type with a width of length w? Width (units)
Area (square units)
2
8
3
18
4
32
5
50
w
?
Which method can be used to find the circumference? A Multiply the radius by :. B C
Multiply 2 times : times the radius, then divide by the circumference. Multiply the diameter by :.
D Multiply : times the diameter, then
A A 5 2w 1 4 B
A 5 4w
C
A 5 2w2
D A 5 w3
24 Maria looks at this triangle and says, “Angle
26 In Cory’s karate class, there are 4 girls and
10 boys. What is the ratio of boys to girls in the class?
C has a measure of 65°.” B
F 588
5 to 7
G 7 to 5 H
2 to 5
J
5 to 2
Practice Test B
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
divide by the circumference.
578 A
C
Which fact supports Maria’s statement? F
Every triangle has 3 sides.
G Every triangle has 3 angles. H
The sum of the angles of a triangle equals 180°.
J
All angles in an acute triangle are less than 90°.
TAKS Objectives Review and Practice Grade 6 TAKS Test
GO ON
Practice Test B
127
Name ——————————————————————— TAKS
Date ————————————
Practice Test B
27 Ms. Howard cuts a circle from this
rectangular board. 10 in. 24 in. 48 in.
How can she find the area of the remaining board? A Subtract 10 from 24, subtract 10 from 48,
29 Nicole went snow skiing. When she left the
slopes on Saturday, the temperature was 23°C. The temperature dropped 11 degrees by the time the sun went down that evening. What was the temperature when the sun went down? A 8°C B
28°C
C
211°C
D 214°C
and multiply the differences. B
Subtract 20 from 24, subtract 20 from 48, and multiply the differences.
C
Subtract the product of 24 and 48 from 100:.
D Subtract 100: from the product of 24
Practice Test B
28 At a pool party, the students played water
games. In one game, teams of 9 raced to fill a bucket with water. Each person on the team 1 had to swim a length of the pool with a }4 cup of water, empty the water into the bucket, and then swim back to give the measuring cup to the next person on the team. By the end of the race each team had filled their 9 9 bucket with }4 cups of water. How much is }4 ? F
0.44
G 1.75
30 The diameter of a standard music CD is
about 4.72 inches. Which is the best estimate for the circumference of a standard CD? Use 3.14 for :.
4.72 in.
F
12 in.
G 15 in.
H
2.25
H
16 in.
J
9.25
J
20 in.
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128
Practice Test B
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
and 48.
Name ——————————————————————— TAKS
Date ————————————
Practice Test B
31 At this week’s football practice, Joe
33 Donna has earned the following scores on
completed 14 of the 46 passes he threw on Monday, 16 of 42 passes he threw on Tuesday, and 15 of the 50 passes he threw on Wednesday. Which statement about these ratios of completed passes to attempts is true?
her math quizzes: 88, 92, 95, 80, and 97.
7 3 8 A } } } 23 10 21 3 7 8 B } } } 10 23 21 7 8 3 C } } } 23 21 10 8 3 1 D } } } 21 23 10
Step R: Divide the sum by the number of scores.
Read the problem-solving steps shown below. Arrange the steps in the correct order for Donna to find her average quiz grade, rounded to the nearest whole number.
Step S: Find the sum of the scores. Step T: Round the quotient to the nearest whole number. Step U: Count the number of scores. A R, T, S, U B
U, S, R, T
C
T, R, U, S
32 Olivia raises plants in a terrarium. The
terrarium is 14 inches long, 9 inches wide, and 24.5 inches high.
34 The table below shows the perimeter of a
rectangular garden with a width of 4 feet and several lengths. Which formula can be used to find the perimeter P of a garden with a length *?
24.5 in.
Length (feet)
Perimeter (feet)
4
16
6
20
8
24
10
28
*
?
14 in. 9 in.
What is the volume of the terrarium? F
216 in.3
G 343 in. H J
F
3
Practice Test B
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
D S, U, T, R
P 5 2* + 4
G P 5 2(* + 4)
3087 in.
3
3150 in.
3
H
P 5 4*
J
P 5 4(* 2 2)
GO ON TAKS Objectives Review and Practice Grade 6 TAKS Test
Practice Test B
129
Name ———————————————————————
Practice Test B
35 The Lauren Museum has quite an extensive
dinosaur fossil collection. They have 2 Tyrannosaurus Rexes, 4 Velociraptors, 1 Brontosaurus, and 1 Triceratops. Each fossil is equally likely to be randomly selected for display in the museum. What is the probability that the fossil chosen is not a Tyrannosaurus Rex? 3 A } 4 7 B } 8 1 C } 4 1 D } 3
Practice Test B
36 The dancers in a dance group need new
costumes. Each costume takes 5.5 yards of fabric. One fabric bolt holds 9 yards of fabric and costs $25. What missing information will the group need to determine the total cost of their costumes?
37 Tom’s car travels about 320 miles on
16 gallons of gas. About how far will his car travel on 5 gallons? A 64 miles B
85 miles
C
100 miles
D 112 miles
38 A rectangular wading pool holds 24 cubic
feet of water. The pool is 2 feet wide and 4.8 feet long. Which best describes how to find the height of the pool? F
Add the sum of 2 and 4.8 to 24.
G Subtract the sum of 2 and 4.8 from 24. F
The number of dancers
G The height of each dancer H
The amount of fabric in each costume
J
The number of times the costumes will be used
H
Multiply 24 by the quotient of 2 and 4.8.
J
Divide 24 by the product of 2 and 4.8.
GO ON
130
Practice Test B
TAKS Objectives Review and Practice Grade 6 TAKS Test
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
TAKS
Date ————————————
Name ——————————————————————— TAKS
Date ————————————
Practice Test B
39 Which is the prime factorization of 136? A 2 + 3 + 13 B
22 + 3 + 13
C
23 + 17
41 What point on the grid below corresponds to 1 the coordinate pair (11, 12 }4)? y 16 14 12 10 8 6 4 2
D 2 + 3 + 17
O
I
H L
K
2
4
J
6
8 10 12 14 16 x
A Point H B
Point I
C
Point J
D Point L
the shape of an isosceles triangle. The sides of the playground form angles measuring 75° and 75°. What is the measure of the third angle? F
10°
G 15° H
25°
J
30°
42 In the election for class president, Carol got
68% of the votes. What fraction of the voters voted for Carol? Practice Test B
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
40 The playground next to Jabari’s home is in
3 5 17 G } 25 19 H } 32 23 J } 34 F
}
GO ON TAKS Objectives Review and Practice Grade 6 TAKS Test
Practice Test B
131
Name ——————————————————————— TAKS
Date ————————————
Practice Test B
43 Theodore E. Bear Company produces 3 sizes of bears with 3 fabric choices. Which
table shows all the possible bear combinations Theodore E. Bear Company offers?
Practice Test B
B
Bear Combinations
C
Bear Combinations
Size
Fabric
Size
Fabric
Small
Fleece
Small
Fleece
Medium
Fleece
Medium
Cotton
Large
Fleece
Large
Quilt
Small
Cotton
Medium
Cotton
Large
Cotton
Bear Combinations
D
Bear Combinations
Size
Fabric
Size
Fabric
Small
Fleece
Small
Fleece
Small
Cotton
Small
Fleece
Small
Quilt
Small
Fleece
Medium
Fleece
Medium
Cotton
Medium
Cotton
Medium
Cotton
Medium
Quilt
Medium
Cotton
Large
Fleece
Large
Quilt
Large
Cotton
Large
Quilt
Large
Quilt
Large
Quilt
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
A
GO ON
132
Practice Test B
TAKS Objectives Review and Practice Grade 6 TAKS Test
Name ——————————————————————— TAKS
Date ————————————
Practice Test B
44 The angle at each vertex of a square has a
measure of 90°.
46 Seth bought a 355 milliliter can of sports
drink. What is the volume of the can in liters? F
0.0355 mL3
G 0.355 mL3 H
3.55 mL3
J
35.5 mL3
What type of angle is at each vertex of a square? F
Obtuse
H
Straight
J
Acute
1 45 In April, a town had 8} inches of rain. In 2 3 1 May, it had 6}4 inches. In June, it had 3}3
inches of rain. How much rain did the town get during the three-month period?
Practice Test B
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
G Right
7 A 17} in. 12 7 B 18} in. 12 2 C 18} in. 3 5 D 18} in. 6
STOP TAKS Objectives Review and Practice Grade 6 TAKS Test
Practice Test B
133
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen B
INSTRUCCIONES Lee cada pregunta. Después rellena la respuesta correcta en tu hoja de respuestas. Si no hay ninguna respuesta correcta, marca la letra que corresponde a “Ninguna”. EJEMPLO A
EJEMPLO B
¿Cuál es el mínimo común múltiplo de 3 y 4?
¿Cuál es el área en pies cuadrados de este rectángulo?
A 7 B
12
C
34
3 pulg.
D Ninguna 10 pulg.
Anota tu respuesta y rellena los círculos en tu hoja de respuestas. Asegúrate de usar el valor posicional correcto. 0
0
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Práctica: Examen B
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
. 0
PARA TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Práctica: Examen B
135
Nombre —————————————————————— TAKS
Fecha ———————————
Práctica: Examen B
1 ¿Qué par ordenado representa un punto
situado dentro del triángulo y del cuadrilátero?
1, 2, 3, 4, 6, 8, 12, 24 ¿Qué oración describe mejor estos números?
y 16 14 12 10 8 6 4 2 O
3 Mira el siguiente conjunto de números.
A Todos son números pares. B
Todos son factores de 24.
C
Todos son divisibles por 3.
D Todos son cuadrados exactos.
2
4
6
8 10 12 14 16 x
A (6, 9) B
(7, 14)
C
(9, 14)
D (10, 16)
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
2 Una caja de cereales de 15 onzas contiene
14 porciones. ¿Qué proporción puede usarse para hallar x, el número de onzas que se necesitan para obtener 300 porciones? x 14 300 15 x 15 G }5} 300 14 x 14 H }5} 15 300 x 1 J }5} 300 15 }5}
Práctica: Examen B
F
CONTINÚA
136
Práctica: Examen B
TAKS Objetivos: Repaso y práctica Grado 6: Examen
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen B
4 La tabla muestra el peso de 5 maestros de 6º grado.
Maestros de 6º grado: Pesos Maestro
Peso (libras)
I
112
II
153
III
210
IV
181
V
123
¿Qué gráfica describe con mayor exactitud la información de la tabla? Maestro de 6º grado: Pesos 250 200 150 100 50 0
I
II III Maestro
IV
Maestro de 6º grado: Pesos 250 200 150 100 50 0
V
G
I
II III Maestro
IV
V
J 250 200 150 100 50 0
Maestro de 6º grado: Pesos Peso (libras)
Peso (libras)
Maestro de 6º grado: Pesos
I
II III Maestro
IV
V
250 200 150 100 50 0
I
II III Maestro
IV
V
Práctica: Examen B
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
H
Peso (libras)
Peso (libras)
F
CONTINÚA TAKS Objetivos: Repaso y práctica Grado 6: Examen
Práctica: Examen B
137
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen B
5 Una clase de 6º Grado con 154 estudiantes
va a celebrar una fiesta de fin de año en la piscina. La fiesta costará $9.95 por estudiante. Estima el costo total de la fiesta.
7 Maya tiene una salida de incendios en su
casa. La salida forma un ángulo con el suelo, representado en la siguiente figura por / X. Plataforma
A $1100 Escalera
$1300
C
$1500
70 180 60 1 0 1 20 10 0 15 0 30 14 0 4
80 90 100 70 100 90 80 110 1 70 20 60 0 110 60 1 2 3 50 0 1 50 0 13
4 14 0 0
B
0 10 180 170 1 20 60
3 15 0 0
D $1700
X
Suelo
¿Qué mide el ángulo formado por la salida y el suelo, redondeado al grado más cercano? A 50° B
60°
C
125°
8 En un juego de cartas, cada carta roja (R) 6 Cuando está abierta, una fábrica envía 240
cajas al día. En enero, abre 28 días. ¿Cómo hallarías el número de cajas que envía la fábrica en enero? F
Sumando el número de cajas enviadas por día al número de días que abre la fábrica.
vale lo que 2 cartas amarillas (A). Cada carta amarilla vale lo que 2 cartas verdes (V). ¿Qué diagrama podrías usar para hallar el número de cartas verdes que equivalen a 3 cartas rojas? F
Práctica: Examen B
H
J
Multiplicando el número de días que abre la fábrica por el número de cajas enviadas por día. Dividiendo el número de cajas enviadas por día por el número de días que abre la fábrica.
R
A V
G Restando el número de días que abre
la fábrica del número de cajas enviadas por día.
R A
V
G
R
H
RRR
V
R
A V V
AA AA
A
V
V
A V V
V
A V
V
VV VV
R
J AA
AA
VV VV VV VV
CONTINÚA
138
Práctica: Examen B
TAKS Objetivos: Repaso y práctica Grado 6: Examen
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
D 130°
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen B
9 Lauren hace 5 problemas de matemáticas
en 3 minutos. Aproximadamente, ¿cuánto tiempo tardará en hacer los 31 problemas que tiene como tarea para casa?
11 Danielle hizo una lasaña grande para una
fiesta de clase. El siguiente dibujo muestra cuánto quedó después de la fiesta.
A 18 min. B
24 min.
C
30 min.
¿Qué porción de la lasaña se comieron?
D 36 min.
11 A } 12 7 B } 8 5 C } 6 3 D } 4
10 A continuación se muestra un círculo cuyo
85º y 100º. ¿Cuánto mide el cuarto ángulo? F
E C
D
12 Los ángulos de un cuadrilátero miden 70º,
O
25°
G 45° H
90°
J
105°
B
1
¿Qué segmento de recta es }2 de la longitud del radio? F
Segmento OC
G Segmento CB H
Segmento DB
J
Segmento CD
Práctica: Examen B
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
centro es el punto O.
CONTINÚA TAKS Objetivos: Repaso y práctica Grado 6: Examen
Práctica: Examen B
139
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen B
13 Un grupo pequeño de 10 estudiantes participó en un concurso de ortografía. Cada estudiante tuvo
que deletrear 30 palabras. La tabla muestra el número de palabras deletreadas correctamente por cada estudiante. Estudiante
Número de palabras correctas
Michael Jessica Christopher Ashley Matthew Sarah Joshua Samantha Tyler Emily
20 24 20 19 20 26 24 18 22 27
¿Cuál es la moda del número de palabras deletreadas correctamente?
B
20
C
22
D 24
14 ¿Qué porcentaje de la figura está sombreado?
15 La clase de 6º grado decide lavar carros y
así recaudar dinero para la fiesta de la clase. Si lavan 7 carros en diez minutos, ¿cuántos carros lavarán en 3 horas?
Práctica: Examen B
A 21 carros
F
3%
G 18.75% H
28.125%
J
37.5%
B
126 carros
C
189 carros
D 378 carros
CONTINÚA
140
Práctica: Examen B
TAKS Objetivos: Repaso y práctica Grado 6: Examen
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
A 18
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen B
16 El perro de Tyler tiene un peso de
aproximadamente 29.25 kilogramos. ¿Cuánto pesa en gramos? F
0.02925 g
G 0.2925 g H
2925 g
J
29,250 g
18 La maestra Parker compra pegatinas para el
próximo proyecto de arte de sus estudiantes. Las pegatinas se venden en paquetes de 4. Cada estudiante necesitará 3 pegatinas. ¿Qué número mínimo de paquetes tendrá que comprar? Anota tu respuesta y rellena los círculos en tu hoja de respuestas. Asegúrate de usar el valor posicional correcto.
17 Los maestros de 6º grado querían dividir a
sus estudiantes por equipos que tuvieran una gran variedad de destrezas. Agruparon a los estudiantes por su tema favorito. Hallaron que 60 estudiantes preferían educación física, 45 arte y música, 30 matemáticas y ciencias y 24 inglés y ciencias sociales. Después formaron los equipos con estos grupos. ¿Cuál es el número máximo de equipos que se puede hacer de modo que cada grupo esté divido por igual entre todos los equipos?
0
0
0
0
0
1
1
1
1
1
1
2
2
2
2
2
2
3
3
3
3
3
3
4
4
4
4
4
4
5
5
5
5
5
5
6
6
6
6
6
6
7
7
7
7
7
7
8
8
8
8
8
8
9
9
9
9
9
9
19 Julie gana una paga semanal basada en el
trabajo que hace durante la semana. Le pagan $7 por cortar el césped y $5 por cada hora que cuida niños. ¿Qué ecuación puede usarse para hallar p, la paga que recibe Julie por cortar el césped y cuidar a su hermano h horas? A p 5 5(h 1 7) B
p 5 5h 1 7
C
p 5 7(h 1 5)
D p 5 7h 1 5
Práctica: Examen B
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
. 0
A 3 equipos B
6 equipos
C
12 equipos
D 15 equipos
CONTINÚA TAKS Objetivos: Repaso y práctica Grado 6: Examen
Práctica: Examen B
141
Nombre —————————————————————— TAKS
Práctica: Examen B
20 La escuela intermedia Murray reunió estos
datos sobre sus estudiantes. Estudiantes de 6º grado: Color favorito
Número de estudiantes
Fecha ———————————
50 45
22 En la tienda de deportes Big Time, el 15% del
equipamiento vendido es para fútbol americano, el 20% es para béisbol, el 25% para baloncesto y el 40% para hockey. ¿Qué gráfica representa mejor estos datos? F
40
Tienda de deportes Big Time
35 30 25
Hockey
20 15 10 5
Fútbol americano Béisbol
Baloncesto o
a et
gr ne
go
ol vi
ín
di
ul
e
az
o
ve
rd
a
ill
nj am
ar
jo na
ra
ro
bl
an
co
0
G
Tienda de deportes Big Time
¿Qué oración está apoyada por los datos de la gráfica? Hockey Fútbol americano
El naranja y el violeta son los colores favoritos del mismo número de estudiantes.
Baloncesto Béisbol
G El blanco, el naranja y el amarillo son los
colores favoritos de menos estudiantes que el índigo, el violeta y el negro. H J
Más del 25% de los estudiantes prefieren el blanco y el índigo.
H
Tienda de deportes Big Time Hockey
El negro es el color favorito de 33 estudiantes.
Baloncesto
21 La clase de 6º grado recaudó para su fiesta
Práctica: Examen B
$371.62 para comida, adornos y premios, Gastaron $247.92 en comida y $58.45 en adornos. ¿Cuánto les quedó para gastar en premios?
142
Anota tu respuesta y rellena los círculos en tu hoja de respuestas. Asegúrate de usar el valor posicional correcto.
Béisbol
J
Fútbol americano
Tienda de deportes Big Time Fútbol americano
. 0
0
0
0
0
0
1
1
1
1
1
1
2
2
2
2
2
2
3
3
3
3
3
3
4
4
4
4
4
4
5
5
5
5
5
5
6
6
6
6
6
6
7
7
7
7
7
7
8
8
8
8
8
8
9
9
9
9
9
9
Práctica: Examen B
Hockey
Béisbol
Baloncesto
CONTINÚA TAKS Objetivos: Repaso y práctica Grado 6: Examen
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
F
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen B
23 La familia de Olivia está trabajando
en el jardín. Hay que cambiar la rueda de la carretilla y le piden que halle su circunferencia.
25 La siguiente tabla muestra el área de un
rectángulo cuya longitud es dos veces su ancho, a. ¿Qué fórmula puede usarse para hallar el área, A, de un rectángulo de este tipo que tiene un ancho de longitud a? Ancho (unidades)
Área (unidades cúbicas)
2
8
3
18
4
32
5
50
w
?
¿Qué método puede usarse para hallar la circunferencia? A Multiplicar el radio por :. B C
Multiplicar 2 veces : veces el radio y después dividir por la circunferencia. Multiplicar el diámetro por :.
D Multiplicar : veces el diámetro y
A A 5 2w 1 4 B
A 5 4w
C
A 5 2w2
D A 5 w3
24 Maria observa este triángulo y dice:
26 En la clase de karate de Cory hay 4
muchachas y 10 muchachos. ¿Cuál es la razón de muchachos a muchachas?
“El ángulo C mide 65º ”. B
F 588
5a7
G 7a5 H
2a5
J
5a2
578 A
C
Práctica: Examen B
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
después dividir por la circunferencia.
¿Qué dato apoya la afirmación de Maria? F
Todos los triángulos tienen 3 lados.
G Todos los triángulos tienen 3 ángulos. H
La suma de los ángulos de un triángulo es 180º.
J
Todos los ángulos de un triángulo acutángulo miden menos de 90º.
TAKS Objetivos: Repaso y práctica Grado 6: Examen
CONTINÚA
Práctica: Examen B
143
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen B
27 La maestra Howard recorta un círculo de este
tablero rectangular. 10 pulg. 24 pulg.
29 Nicole fue a esquiar en la nieve. Cuando dejó
las pistas el sábado, la temperatura era de –3º C. La temperatura bajó 11 grados cuando el sol se puso esa tarde. ¿Qué temperatura había a la hora de la puesta de sol? A 8°C
48 pulg.
¿Cómo puede hallar el área restante del tablero?
B
28°C
C
211°C
D 214°C
A Restando 10 de 24, restando 10 de 48 y
multiplicando los resultados de las restas. B
Restando 20 de 24, restando 20 de 48 y multiplicando los resultados de las restas.
C
Restando el producto de 24 y 48 de 100:.
28 En una fiesta de piscina, los estudiantes
hacen juegos acuáticos. En un juego, equipos de 9 jugadores concursaron para llenar un cubo de agua. Cada jugador de un equipo 1 tuvo que nadar un largo de la piscina con }4 taza de agua, vaciar el agua en el cubo y después volver nadando para dar la taza de medir al próximo compañero. Al final de la carrera, cada 9 equipo había llenado su cubo con }4 tazas de 9 agua. ¿Cuánto es }4? Práctica: Examen B
F
0.44
30 El diámetro habitual de un CD de música es
de 4.72 pulgadas aproximadamente. ¿Cuál es la mejor estimación para la circunferencia de un CD normal? Usa 3.14 para :.
4.72 pulg.
F
12 pulg.
G 15 pulg.
G 1.75
H
16 pulg.
H
2.25
J
20 pulg.
J
9.25
CONTINÚA
144
Práctica: Examen B
TAKS Objetivos: Repaso y práctica Grado 6: Examen
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
D Restando 100: del producto de 24 y 48.
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen B
31 En el entrenamiento de fútbol americano de
esta semana, Joe completó 14 de los 46 pases que hizo el lunes, 16 de los 42 pases que hizo el martes y 15 de los 50 pases que hizo el miércoles. ¿Qué enunciado sobre estas razones de pases completados a intentos es verdadera? 7 3 8 A } } } 23 10 21 3 7 8 B } } } 10 23 21 7 8 3 C } } } 23 21 10 8 3 1 D } } } 21 23 10
33 Donna ha obtenido las siguientes
puntuaciones en sus pruebas breves de matemáticas: 88, 92, 95, 80 y 97. Lee los siguientes pasos para resolver problemas. Ordénalos correctamente de forma que Donna pueda hallar el promedio de sus puntuaciones, redondeando al número natural más cercano. Paso R: Dividir la suma por el número de puntuaciones. Paso S: Hallar la suma de las puntuaciones. Paso T: Redondear el cociente al número natural más cercano. Paso U: Contar el número de puntuaciones. A R, T, S, U B
U, S, R, T
C
T, R, U, S
32 Olivia cultiva plantas en un terrario.
El terrario mide 14 pulgadas de largo, 9 de ancho y 24.5 de alto.
34 La tabla siguiente muestra el perímetro de
un jardín rectangular con 4 pies de ancho y varias longitudes. ¿Qué fórmula puede usarse para hallar el perímetro P de un jardín con una longitud *?
24.5 pulg.
Longitud (pies)
Perímetro (pies)
4
16
6
20
8
24
10
28
*
?
14 pulg. 9 pulg.
¿Qué volumen tiene el terrario? F
216 pulg.3
G 343 pulg. H J
F
3
P 5 2* + 4
G P 5 2(* + 4)
3087 pulg.
3
3150 pulg.
3
H
P 5 4*
J
P 5 4(* 2 2)
Práctica: Examen B
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
D S, U, T, R
CONTINÚA TAKS Objetivos: Repaso y práctica Grado 6: Examen
Práctica: Examen B
145
Nombre ——————————————————————
Práctica: Examen B
35 El Museo Lauren tiene una extensa
colección de fósiles de dinosaurio. Tienen 2 tiranosaurios rex, 4 velociraptores, 1 brontosaurio y 1 triceratops. Cada fósil tiene las mismas posibilidades de ser seleccionado al azar para la exhibición del museo. ¿Qué probabilidad hay de que el fósil elegido no sea un tiranosaurio rex? 3 A } 4 7 B } 8 1 C } 4 1 D } 3
36 Los bailarines de un grupo de danza
necesitan trajes nuevos. Cada traje lleva 5.5 yardas de tela. Un rollo de tela tiene 9 yardas y cuesta $25. ¿Qué información adicional necesita el grupo para determinar el costo total de sus trajes? F
El número de bailarines
G La altura de cada bailarín
La cantidad de tela para cada traje
J
El número de veces que se usarán los trajes
320 millas con 16 galones de gasolina. ¿Qué distancia aproximada recorrerá el carro con 5 galones? A 64 millas B
85 millas
C
100 millas
D 112 millas
38 Una piscina infantil rectangular contiene
24 pies cúbicos de agua. La piscina tiene 2 pies de ancho y 4.8 de largo. ¿Qué instrucción describe mejor cómo hallar la altura de la piscina? F
Sumar 2, 4.8 y 24.
G Restar la suma de 2 y 4.8 de 24. H
Multiplicar 24 por el cociente de 2 y 4.8.
J
Dividir 24 por el producto de 2 y 4.8.
Práctica: Examen B
H
37 El carro de Tom viaja aproximadamente
CONTINÚA
146
Práctica: Examen B
TAKS Objetivos: Repaso y práctica Grado 6: Examen
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
TAKS
Fecha ———————————
Fecha ———————————
Nombre —————————————————————— TAKS
Práctica: Examen B
39 ¿Cuál es la descomposición en factores
41 ¿Qué punto de la siguiente cuadrícula
primos de 136?
corresponde al par de coordenadas
A 2 + 3 + 13
(11, 12 }4)?
B
22 + 3 + 13
C
23 + 17
1
y 16 14 12 10 8 6 4 2
D 2 + 3 + 17
O
I
H L
K
2
4
J
6
8 10 12 14 16 x
A Punto H B
Punto I
C
Punto J
D Punto L
tiene forma de triángulo isósceles. Los lados de la zona forman ángulos que miden 75º y 75º. ¿Cuánto mide el tercer ángulo? F
10°
G 15° H
25°
J
30°
42 En la elección del presidente de clase, Carol
obtuvo el 68% de los votos. ¿Qué fracción de los electores votó por Carol? 3 5 17 G } 25 19 H } 32 23 J } 34 F
}
Práctica: Examen B
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
40 La zona de juegos al lado de la casa de Jabari
CONTINÚA TAKS Objetivos: Repaso y práctica Grado 6: Examen
Práctica: Examen B
147
Nombre —————————————————————— TAKS
Fecha ———————————
Práctica: Examen B
43 La compañía Teodoro E. Oso fabrica 3 tamaños de osos en 3 telas a elegir. ¿Qué tabla muestra todas
las combinaciones posibles de osos que ofrece la compañía Teodoro E. Oso? C
Combinaciones de osos
Tamaño
Tela
Tamaño
Tela
Pequeño
Lana
Pequeño
Lana
Mediano
Lana
Mediano
Algodón
Grande
Lana
Grande
Colcha
Pequeño
Algodón
Mediano
Algodón
Grande
Algodón
Combinaciones de osos
D
Combinaciones de osos
Tamaño
Tela
Tamaño
Tela
Pequeño
Lana
Pequeño
Lana
Pequeño
Algodón
Pequeño
Lana
Pequeño
Colcha
Pequeño
Lana
Mediano
Lana
Mediano
Algodón
Mediano
Algodón
Mediano
Algodón
Mediano
Colcha
Mediano
Algodón
Grande
Lana
Grande
Colcha
Grande
Algodón
Grande
Colcha
Grande
Colcha
Grande
Colcha
Práctica: Examen B
B
Combinaciones de osos
CONTINÚA
148
Práctica: Examen B
TAKS Objetivos: Repaso y práctica Grado 6: Examen
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
A
Nombre —————————————————————— TAKS
Fecha ———————————
Práctica: Examen B
44 El ángulo en cada vértice de un cuadrado
mide 90º.
46 Seth compró una lata de 355 mililitros de
bebida deportiva. ¿Qué volumen tiene la lata en litros? F
0.0355 mL3
G 0.355 mL3 H
3.55 mL3
J
35.5 mL3
¿Qué tipo de ángulo habrá en cada vértice de un cuadrado? F
Obtuso
H
Llano
J
Agudo
1 45 En abril, una ciudad tuvo 8} pulgadas de 3 2 lluvia. En mayo, tuvo 6}4 pulgadas. En junio, 1 tuvo 3}3 pulgadas. ¿Cuánto llovió en la
ciudad en esos tres meses? 7 A 17} pulg. 12 7 B 18} pulg. 12 2 C 18} pulg. 3 5 D 18} pulg. 6
Práctica: Examen B
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
G Recto
PARA TAKS Objetivos: Repaso y práctica TAKS Grado 6: Examen
Práctica: Examen B
149
