Common Core Coach
6
Assessments
Mathematics
First Edition
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Contents
Domain Assessment—Ratios and Proportional Relationships . . . . . . . . . . . . . . . . . . . . . . . . 4
Domain Assessment—The Number System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
Domain Assessment—Expressions and Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
Domain Assessment—Geometry. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
Domain Assessment—Statistics and Probability. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
Duplicating any part of this book is prohibited by law.
Summative Assessment. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
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Domain Assessment • Ratios and Proportional Relationships
1.
Carissa drew the figures below on a sheet
of paper.
2.
Joaquin created the figures below using
design software on his computer.
Which of the following statements does
not describe the figures Carissa drew?
A. The ratio of circles to all figures is 3 to 9.
B. The ratio of triangles to squares is 4 to 5.
C. The ratio of squares to circles is 5 to 3.
What is the ratio of quadrilaterals to all
figures?
D. The ratio of all figures to squares is
12 to 5.
A. 2:3
B. 2:5
C. 3:5
Go On
Duplicating any part of this book is prohibited by law.
D. 5:2
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A recipe for a mixed berry pie calls for
5 ounces of blackberries for every
9 ounces of raspberries. Which of
the following statements is true?
5.
5
A. The recipe calls for __
​ 14  ​ounce of
blackberries for every ounce
of raspberries.
1
A. ​ __
4 ​ cup of water for every cup of lemon
juice
14
B. The recipe calls for ​ __
5  ​ounce of
blackberries for every ounce
of raspberries.
1
B. __
​ 5 ​ cup of water for every cup of lemon
juice
5
C. The recipe calls for ​ __
9 ​ounce of
blackberries for every ounce
of raspberries.
1
C. __
​ 4 ​ cup of lemon juice for every cup of
water
1
​ 5 ​ cup of lemon juice for every cup of
D. __
water
9
D. The recipe calls for __
​ 5 ​ounce of
blackberries for every ounce
of raspberries.
6.
4.
Tito went to a concert given by a jazz
band. The band had 5 saxophone players
and 4 trumpet players. What was the ratio
of trumpet players to saxophone players
in the band?
Peter and Randy run a refreshments stand
at a minor league baseball park. The ratio
of cups of lemon juice to cups of water in
their lemonade is 2:10. Which unit rate
best describes how Peter and Randy make
their lemonade?
Ratios and Proportional
Relationships
3.
Mariluz will be spending her vacation at
her uncle’s house in the mountains. She
drove the 582 kilometers from her home
to her uncle’s house in 6 hours. At what
rate did Mariluz complete her trip?
A.    0.01 kilometer per hour
A. 4:9
B.   79 kilometers per hour
B. 4:5
C.   97 kilometers per hour
C. 5:4
D. 100 kilometers per hour
Duplicating any part of this book is prohibited by law.
D. 5:9
Go On
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7.
Jackson analyzes polling results for
elections across the country. Over the last
10 years, Jackson has correctly predicted
the winner of an election 78% of the time.
Which of the following statements best
describes Jackson’s results?
Miles rode his mountain bike over some
trails in a state park. He biked a total of
1
5 ​ __
2  ​miles. How many yards did Miles bike?
There are 1,760 yards in a mile.
A. 320 yd
A. For every 100 elections, Jackson has
predicted the winner 78 times.
B. 8,800 yd
B. For every 1,000 elections, Jackson has
predicted the winner 78 times.
D. 29,040 yd
C. Jackson predicted the winner of
78 of the last 100 elections.
D. Jackson predicted the winner of the
last 78 elections.
8.
9.
Yukiko plays on the softball team at her
school. The team won 9 of its first
12 games. At that rate, how many games will
Yukiko’s team win if it plays 64 games in all?
A. 45
B. 48
C. 50
C. 9,680 yd
10. A natural food market sells organic granola
in bulk for $1.60 per ounce. Which of the
following statements is true?
A. It would cost $0.20 to buy 8 ounces
of granola at the market.
B. It would cost $13.60 to buy 12 ounces
of granola at the market.
C. It would cost $16.16 to buy 16 ounces
of granola at the market.
D. It would cost $38.40 to buy 24
ounces of granola at the market.
Go On
Duplicating any part of this book is prohibited by law.
D. 58
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Ratios and Proportional
Relationships
11. Mr. Zheng owns a store that sells computers and other electronics. He has noticed that the number
of times he places an advertisement in the local paper announcing a sale affects how many new
customers he gets. The table below shows data that Mr. Zheng collected on the relationship.
Effect of Advertisements
Number of Advertisements
Number of New Customers
1
125
2
250
C.
y
3
375
4
500
5
625
6
750
Which graph reflects Mr. Zheng’s data?
y
Number of New Customers
Number of New Customers
A.
800
700
600
500
400
300
200
100
0
1
2
3
4
5
6
7
x
800
700
600
500
400
300
200
100
2
3
4
5
6
7
Number of Advertisements
500
400
300
200
100
1
2
3
4
5
6
7
x
x
y
D.
Number of New Customers
Number of New Customers
Duplicating any part of this book is prohibited by law.
1
600
Number of Advertisements
y
0
700
0
Number of Advertisements
B.
800
800
700
600
500
400
300
200
100
0
1
2
3
4
5
6
7
x
Number of Advertisements
Go On
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12. Jeffrey builds wooden decks for his clients’ houses. His standard deck uses a fixed amount
of lumber. The table below shows how much lumber Jeffrey needs to buy for different numbers
of decks.
Lumber Needed
Number of Decks
2
3
4
5
6
7
Lumber (in sq ft)
1,052
1,578
2,104
2,630
3,156
?
Based on the data in the table, how much lumber would Jeffrey need to buy to build
7 standard decks?
A. 3,682 square feet
B. 3,718 square feet
C. 4,208 square feet
D. 6,312 square feet
13. An adult male giraffe can have a mass of as much as 1,360 kilograms. What is 1,360 kilograms
in grams?
1.36 g
B. 136 g
C. 13,600 g
D. 1,360,000 g
Go On
Duplicating any part of this book is prohibited by law.
A. 8
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Ratios and Proportional
Relationships
14. During the last school year, the students at Hayes High School and McGovern High School
organized volunteers to clean up two city parks and collect recyclable items. The tables below
show the average number of kilograms of recyclables collected for different numbers of
volunteers for each high school.
Hayes High School
Number of
Volunteers
3
4
5
6
7
Recyclables
Collected (in kg)
30.15
40.20
50.25
60.30
70.35
McGovern High School
Number of
Volunteers
3
4
5
6
7
Recyclables
Collected (in kg)
26.55
35.40
44.25
53.10
61.95
Based on the data in the tables, which of the following statements is true?
A. On average, the volunteers from Hayes High School collected 2.1 more kilograms of
recyclables per person than the volunteers from McGovern High School.
Duplicating any part of this book is prohibited by law.
B. On average, the volunteers from McGovern High School collected 2.1 more kilograms of
recyclables per person than the volunteers from Hayes High School.
C. On average, the volunteers from Hayes High School collected 1.2 more kilograms of
recyclables per person than the volunteers from McGovern High School.
D. On average, the volunteers from McGovern High School collected 1.2 more kilograms of
recyclables per person than the volunteers from Hayes High School.
Go On
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15. The table below shows the maximum capacities, including standing room, for different numbers
of New York City subway cars.
Capacities of Subway Cars
2
492
Number of Cars
Number of Passengers
3
738
4
984
5
6
1,230 1,476
7
?
Which of the graphs below best reflects the data in the table and shows the capacity of
7 subway cars?
y
y
C.
2,000
2,000
1,750
1,750
Number of Passengers
1,500
1,250
1,000
750
500
250
0
1,500
1,250
1,000
750
500
250
1
2
3
4
5
6
7
8
x
0
1
Number of Cars
2,000
1,750
1,750
Number of Passengers
Number of Passengers
4
5
6
7
8
7
8
x
y
D.
2,000
1,500
1,250
1,000
750
500
250
0
3
Number of Cars
y
B.
2
1,500
1,250
1,000
750
500
250
1
2
3
4
5
6
Number of Cars
7
8
x
0
1
2
3
4
5
6
x
Number of Cars
Go On
Duplicating any part of this book is prohibited by law.
Number of Passengers
A.
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19. What is 45% of 120?
Ratios and Proportional
Relationships
16. Felipe makes salads at a restaurant.
On average, Felipe can make 12 salads
in 20 minutes. At that rate, how many
salads could Felipe make in 45 minutes?
A. 5.4
B. 6.6
A. 27
C. 54
B. 30
D. 66
C. 56
D. 75
20. As part of a science project, Liam grew
two pumpkins in his backyard. Pumpkin A
17. A carabiner is a key piece of equipment
for a mountain climber. Kneisl’s Mountain
Adventures store is having a sale on
carabiners. During the sale, you can buy
4 carabiners for $29.60. What is the unit
price of the carabiners?
A. $7.15
B. $7.40
C. $8.15
D. $118.40
18. At the local greenmarket, Debra bought
5 ounces of Chinese long beans for
$13.55. At that rate, how much would she
pay for 8 ounces of Chinese long beans?
1
weighs 14​ __
2 ​ pounds and Pumpkin B weighs
248 ounces. Which of the following
statements is true of the pumpkins?
(1 lb 5 16 oz)
A. Pumpkin A weighs 16 ounces less
than Pumpkin B.
B. Pumpkin B weighs 16 ounces less than
Pumpkin A.
C. Pumpkin A weighs 24 ounces more
than Pumpkin B.
D. Pumpkin B weighs 24 ounces more
than Pumpkin A.
Duplicating any part of this book is prohibited by law.
A. $20.08
B. $20.88
C. $21.68
D. $22.48
Go On
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21. The students at Emily’s school recently raised money to help the victims of a natural disaster in
Asia. Emily’s sixth-grade class raised 40% of the total amount raised by the school. If Emily’s class
raised $580, how much money did the school raise in all? Explain how you found your answer.
Go On
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22. A recipe for a salad dressing calls for fresh lime juice and honey. The ratio of tablespoons of honey
to tablespoons of lime juice is 8:16. According to the recipe, how many tablespoons of honey
are needed for every tablespoon of lime juice? Write your answer as a fraction in simplest form.
Explain how you found your answer.
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