Benchmark Test 3

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2Benchmark Test 3

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Topic 12 63

Mark the best answer.

1. Look at the number line below.

–5 0 5

A B C D E F G H I J K

Which integer corresponds to point B?

A –1

B –2

C –3

D –4

2. Look at the number line below.

–6 –4 –2 0 2 4 6

W X Y Z

Which point corresponds to the integer –3?

A W

B X

C Y

D Z

3. Which number line shows the points

–3, 1315, 12, and –2?

A –4 –2 0 2 4

B –4 –2 0 2 4

C –4 –2 0 2 4

D –4 –2 0 2 4

4. Which list of numbers is ordered from greatest to least?

A 1.05, 1920, –0.99, –1 1

100

B 1920, 1.05, –0.99, –1 1

100

C –1 1100, –0.99, 19

20, 1.05

D 1.05, –1 1100, –0.99, 19

20

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64    Topic 12

5. Use the number line and variables below.

–10 0 10

WXZ Y

Which list shows the variables ordered from least to greatest?

A W, X, Y, Z

B Z, X, W, Y

C Z, Y, X, W

D Y, X, W, Z

6. Look at the table below.

RecordColdTemperaturesArkansas –29˚FGeorgia –17˚FCalifornia –45˚FMississippi –19˚FNew Mexico –50˚F

Which state’s record cold temperature is highest?

A Georgia

B California

C Mississippi

D New Mexico

7. Which number has the least absolute value?

A –75

B –3

C 4

D 8

8. What is the quotient for the expression below?

3374

115

A 2 17

B 2 67

C 3 27

D 3 67

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Benchmark Test 3

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Topic 12 65

9. Which list of numbers is ordered from least to greatest?

A |−8 |, 16, |−6|, 4

B 4, |−6|, |−8|, 16

C 16, |−8|, 4, |−6|

D |−8|, |−6|, 4, 16

10. How far away from 0 is |8|?

A 8 units

B −8 units

C 9 units

D −3 units

11. Solve the equation below.

165n434

A n 5 2

B n 5 4

C n 5 8

D n 5 12

12. The area of a room is 116 3 __ 8 square feet. The length of the room is 12 1 __ 4 feet. What is the width of the room?

A 10 1 __ 2 ft

B 10 1 __ 4 ft

C 9 1 __ 2 ft

D 8 1 __ 2 ft

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66    Topic 12

13. Jessica is making hair ties for herself and 11 friends out of ribbon. She has a piece of ribbon that is 12 3

__ 4 feet long.

If she cuts the ribbon into 12 pieces of the same length, how long will each piece be?

A 1 1

__ 12 ft C 1 1

__

16 ft

B 1 1

__ 4 ft D 1 3

__

16 ft

14. Mrs. Kerr is taking a car trip that is 8 hours long. Every 2 __ 3 of an hour, she changes the radio station. How many times does she change the station during the trip? How do you know?

A 6 times; 12 3 1 __ 2 5 6

B 8 times; 12 3 1 __ 4 5 3

C 10 times; 8 3 3 __ 4 5 6

D 12 times; 12 3 2 __ 3 5 8

15. What is the absolute value of −13?

A 1 __ 3

B 23

C 213

D 13

16. The ratio of length to height of the sign below is 2 1

__ 2 to 1.

MIDDLEBURGRAIDERS

If the height of the sign is 13 inches, what is the length?

A 5 1 __ 5 in.

B 32 1 __ 2 in.

C 39 in.

D 325 in.

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Benchmark Test 3

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Topic 12 67

17. For training, Debbie runs several miles each day. She runs 1 __ 2 mile in 4 minutes. How much time does Debbie need to run 3 1 __ 4 miles?

A

26 minutes

B 24 minutes

C 14 minutes

D 13 minutes

18. Which of the following is NOT a rate?

A 6 meters per second

B 15 dollars per hour

C 3 seconds per second

D 2 dollars per pound

19. A train leaving Minneapolis, MN, travels at 60 miles per hour. Using the formula d 5 r 3 t, how many miles will the train travel in 4 hours?

A 180 miles

B 240 miles

C 260 miles

D 300 miles

20. Which number makes the two ratios form a proportion?

23 5

21

A 3

B 14

C 7

D 10

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68    Topic 12

21. Which correctly describes a characteristic of the shapes in this group?

A Right triangles

B Obtuse triangles

C Equilateral triangles

D Scalene triangles

22. Which pair of lines are perpendicular?

A

A B

C D

BA

B

C

D

C A B

C

D

D

A B

C D

23. Which of the following ratios is equal to 3:9?

A 6:12

B 9:18

C 1:3

D 2:8

24. Peter joined a park basketball league for the summer. There are a total of 28 girls and 32 boys in the league. Which of the following can represent the ratio of girls to boys in the league?

A 6 to 10

B 32 to 28

C 7 to 8

D 14 to 18

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Benchmark Test 3

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Topic 12 69

25. Mike can ride his bike a distance of 24 miles in 3 hours. How far can Mike ride his bike in 1 hour?

A 24 miles ______ 1 hour

B 12 miles ______ 1 hour

C 6 miles ______ 1 hour

D 8 miles ______ 1 hour

26. Which of the following terms completes this sentence? Line segments that are the same length are .

A Congruent

B Intersecting

C Perpendicular

D Points

27. Which expression has the greatest product?

A 4 1

__ 8 3 2

__ 5

B 3 1

__ 8 3 2

__ 3

C 4 1

__ 8 3 5 3

__ 4

D 3 1

__ 4 3 5 1

__ 8

28. Mr. Brown wants to cut 75 feet of wire into 2 1 __ 2 -foot long pieces for a basket decoration. How many pieces of wire will he have?

A 182

B 100

C 35

D 30

29. Find the quotient of 7

__ 8 4

1

__ 4 .

A 7

__ 32

B 3

__ 8

C 3 1

__ 2

D 5

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70    Topic 12

30. Jake is baking cupcakes for a school party. Each batch of cupcake requires 1 1

__ 2 cups of milk. If he has

7 1 __ 2 cups of milk available, how many batches of cupcakes can Jake make?

A 5

B 4

C 3

D 2

31. Which of the following terms completes this sentence? A(n) triangle has two sides that are congruent and one side that is not congruent to the other two sides.

A Equilateral

B Isosceles

C Scalene

D Obtuse

32. What is the value of x in the figure below?

120˚42˚

x

A 8˚

B 18˚

C 28˚

D 108˚

33. If Y is a point on a line perpendicular to the midpoint of line segment AB, Triangle ABY must be which kind of triangle?

A Scalene

B Isosceles

C Obtuse

D Right

34. Which statement best describes a triangle with angle measurements of 11˚ and 115˚?

A The triangle is scalene and acute.

B The triangle is equilateral and acute.

C The triangle is isosceles and obtuse.

D The triangle is scalene and obtuse.

35. What are the measures of the 2 unlabeled interior angles of the parallelogram below?

107˚ 73˚

? ?

A 107 ,̊ 73˚

B 42 ,̊ 120˚

C 126 ,̊ 107˚

D 54 ,̊ 179˚

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Benchmark Test 3

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Topic 12 71

36. Which of the following is the best description of the triangle below?

A Equilateral and acute

B Isosceles and right

C Scalene and acute

D Scalene and right

37. Look at the graph below.

4

2

0

–2

–4

–4 –2 2 4

B

A

D

C

y

x

What are the coordinates of point D?

A (3, –3) C (3, 3)

B (–3, –3) D (–3, 3)

38. Look at the graph below.

4

2

0

–2

–4

–4 –2 2 4 F E

G

y

x

Choose the coordinates of the vertices of triangle EFG.

A (3, 3), (0, 0), (–3, –3)

B (3, 0), (–3, 0), (3, –3)

C (3, 0), (0, 0), (3, –3)

D (–3, 0), (0, –3), (3, –3)

39. Bill caught 12 fish over a period of 4 hours. Which of the following is a unit rate for this situation?

A 4 fish per 1 hour

B 3 fish per 1 hour

C 2.5 fish per 1 hour

D 2 fish per 1 hour

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