Name _______________________________________ Date __________________ Class __________________

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87 Holt McDougal Mathematics

Multiple Choice

Test A

Choose the best answer.

1. Which ratio forms a proportion with

3

8?

A

33

80 C

9

24

B

12

26 D

15

38

2. Which pair of fractions forms a proportion?

A

7

9,

15

16 C

3

4,

2

3

B

5

6,

15

18 D

5

8,

20

24

3. Which value completes the table below comparing two different serving sizes?

Serving Size (g) Protein (g)

3 12

4

A 16 B 12

4. The mass of a block of stone is 2000 kilograms. If the block has a volume of 0.5 cubic meters, what is its density? Remember, density is mass per unit of volume.

A 4000 kilograms per cubic meter

B 1000 kilograms per cubic meter

5. Which of these prices is lower than 8 for $10.00?

A 3 for $4.00 C 6 for $7.50

B 11 for $12.00 D 5 for $8.00

6. A packing machine can pack 3000 boxes in 4 hours. At what rate does the machine work?

A 340 boxes/hour

B 480 boxes/hour

C 640 boxes/hour

D 750 boxes/hour

7. Solve the following proportion for x.

$20

2 hours =

x

8 hours

A $10 C $160

B $40 D $80

8. Solve the following proportion for x.

$24

3 hours =

x

6 hours

A $48 B $72

9. Which gives a proportion?

A

6

8=

?3

4 B

1

5=

?3

9

10. Triangle ABC is similar to triangle DEF. What is the value of x?

A 6 B 24

11. A photograph 6 inches wide by 8 inches long is scaled to 12 inches long in a book. What is the width of the published picture?

A 4 inches C 3 inches

B 9 inches D 16 inches

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88 Holt McDougal Mathematics

Multiple Choice

Test A, continued

12. Which of the following triangles is similar to a triangle that measures 12 units by 16 units by 20 units?

A 18 24 30 C 6 10 12

B 9 14 18 D 16 20 24

13. Two cities are separated by 6 inches on a map. The actual distance between the cities is 30 miles. What is the map scale?

A 1 inch : 5 miles

B 1 inch : 0.2 miles

14. A model ocean liner is 12 inches long. If it is built to a scale of 1 inches : 300 feet, how long is the real ocean liner?

A 300 feet B 3600 feet

15. A model of an integrated circuit wafer board uses the scale

1.5 centimeters = 30 millimeters.

If the model is 15 centimeters wide, how wide is the actual integrated circuit wafer board?

A 3 millimeters

B 30 millimeters

C 300 millimeters

D 3000 millimeters

16. How many milliliters is 2.5 liters?

A 25 milliliters

B 250 milliliters

C 2500 milliliters

D 25,000 milliliters

17. To the nearest whole number, what is the mass in grams of a half-pound steak?

A 113 grams B 225 grams

18. Mark rode his bike to school at an average speed of 12 miles per hour. What was his speed in feet per minute?

A 1056 feet per minute

B 63,360 feet per minute

C 0.2 feet per minute

D 2640 feet per minute

19. Missy is 1.5 meters tall and casts a 9-meter shadow. How long is the shadow of a 6-meter flagpole beside her?

A 1 meter C 9 meters

B 3 meters D 36 meters

20. The end of a 1000-foot kite string is anchored to the ground. The string represents a straight line. At a point 50 feet along the string from the anchor point, the string is 10 feet above the ground. How high is the kite flying?

A 500 feet C 10,000 feet

B 200 feet D 100 feet

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89 Holt McDougal Mathematics

Multiple Choice

Test B

Choose the best answer.

1. Which ratio forms a proportion

with

5

7?

A

15

21 C

22

28

B

45

60 D

42

35

2. Which pair of fractions forms a proportion?

F

12

15,

22

25 H

8

4,

24

16

G

5

7,

15

17 I

16

36,

12

27

3. Which value completes the table below comparing two different servings sizes?

Serving Size (g) Protein (g)

8 1.5

? 10.5

A 6.5 C 56

B 20 D 84

4. The mass of a block of stone is 4500 kilograms. If the block has a volume of 0.5 cubic meters, what is its density? Remember, density is mass per unit of volume.

F 2250 kilograms per cubic meter

G 4500 kilograms per cubic meter

H 9000 kilograms per cubic meter

I 18,000 kilograms per cubic meter

5. Which of these prices is lower than 5 for $9.00?

A 3 for $6.00 C 6 for $10.00

B 8 for $16.00 D 10 for $19.00

6. A packing machine can pack 4000 boxes in 5 hours. At what rate does the machine work?

F 800 boxes/hour

G 2000 boxes/hour

H 4000 boxes/hour

I 20,000 boxes/hour

7. Solve the following proportion for x.

$25

2 hours =

x

30 hours

A $2.40 C $375

B $4.00 D $1500

8. Solve the following proportion for x.

x CDs

$18.00 =

3 CDs

$27.00

F 0.67 H 2

G 1 I 4.5

9. Which gives a proportion?

A

2

3=

?4

5 C

2

3=

?6

8

B

2

7=

?4

12 D

3

12=

?2

8

10. Triangle ABC is similar to triangle DEF. What is the value of x?

F

15

16 H 6

2

3

G 4 I 13

1

3

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90 Holt McDougal Mathematics

Multiple Choice

Test B, continued

11. A photograph 8 inches wide by 10 inches long is scaled to 4.5 inches long in a magazine. What is the width of the published picture?

A 1.8 inches C 4.0 inches

B 3.6 inches D 5.7 inches

12. Which of the following triangles is similar to a triangle that measures 5 units by 12 units by 15 units?

F 8 15 18 H 12 28 36

G 11 23 32 I 20 48 60

13. Two cities are separated by 3.7 inches on a map. The actual distance between the cities is 11.1 miles. What is the map scale?

A 1 inch:3 inches

B 1 inch:0.33 mile

C 1 inch:3 miles

D 1 inch:30 miles

14. A model boat is 15 inches long. If it is built to a scale of 1 inches : 250 feet, how long is the real boat?

F 16.7 feet H 312.5 feet

G 167 feet I 3750 feet

15. A model of an integrated circuit wafer board uses the scale 1 centimeter = 20 millimeters. If the model is 16 centimeters wide, how wide is the actual integrated circuit wafer board?

A 31.25 millimeters

B 32 millimeters

C 320 millimeters

D 3125 millimeters

16. How many hours is 135 minutes?

F 0.25 hour H 1.6 hours

G 1.25 hours I 2.25 hours

17. To the nearest hundredth, how many feet is 5 centimeters?

A 0.17 feet C 2.4 feet

B 0.42 feet D 5.8 feet

18. Malik rode his bike to school at an average speed of 15 miles per hour. What was his speed in feet per minute?

F 0.25 feet per minute

G 1320 feet per minute

H 13,200 feet per minute

I 79,200 feet per minute

19. Jana is 1.5 meters tall and casts a 6-meter shadow. How long is the shadow of a 12-meter flagpole beside her?

A 2 meters C 48 meters

B 24 meters D 72 meters

20. The end of a 500-foot kite string is anchored to the ground. At a point 10 feet along the string from the anchor point, the string is 5 feet above the ground. How high is the kite flying?

F 10 feet H 250 feet

G 25 feet I 1000 feet

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91 Holt McDougal Mathematics

Multiple Choice

Test C

Choose the best answer.

1. Which ratio forms a proportion with

7

15?

A

16

30 C

21

60

B

35

75 D

28

45

2. Which pair of fractions forms a proportion?

F

3

5,

10

15 H

9

10,

17

20

G

12

15,

8

10 I

13

16,

39

45

3. Which value completes the table below comparing two different serving sizes?

Serving Size (g) Protein (g)

4.5 15

6

A 9 C 18

B 12 D 20

4. The mass of a block of stone is 3200 kilograms. If the block has a volume of 0.4 cubic meters, what is its density? Remember, density is mass per unit of volume.

F 800 kilograms per cubic meter

G 1280 kilograms per cubic meter

H 8000 kilograms per cubic meter

I 12,800 kilograms per cubic meter

5. Which of these prices is lower than 5 for $3.00?

A 6 for $3.72 C 8 for $5.44

B 7 for $4.06 D 12 for $7.20

6. A packing machine can pack 2500 boxes in 4 hours. At what rate does the machine work?

F 312 boxes/hour

G 575 boxes/hour

H 625 boxes/hour

I 10,000 boxes/hour

7. Solve the following proportion for x.

$18

1.5 hours =

x

12 hours

A $108 C $180

B $144 D $216

8. Solve the following proportion for x.

$16

2.5 hours =

x

10 hours

F $64 H $90

G $80 I $400

9. Which gives a proportion?

A

5

9=

?8

20 C

3

12=

?4

16

B

5

25=

?4

16 D

9

20=

?6

15

10. Triangle ABC is similar to triangle DEF. What is the value of x?

F 15 H 30

G 20 I 60

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92 Holt McDougal Mathematics

Multiple Choice

Test C, continued

11. A photograph 12 inches wide by 16 inches long is scaled to 12 inches long in a book. What is the width of the published picture?

A 6 inches C 9 inches

B 8 inches D 12 inches

12. Which of the following triangles is similar to a triangle that measures 13 units by 16 units by 25 units?

F 26 32 40 H 6 18 12

G 39 48 75 I 8 12 20

13. Two cities are separated by 3.5 inches on a map. The actual distance between the cities is 28 miles. What is the map scale?

A 1 inch : 5 miles

B 1 inch : 8 miles

C 8 inches : 1 miles

D 1 inch : 0.125 miles

14. A model boat is 9.8 inches long. If it is built to a scale of 1 inches : 135 feet, how long is the real boat?

F 110.25 feet H 165.31 feet

G 117.6 feet I 1323 feet

15. A model of a hair follicle uses the scale 1 centimeter : 0.00000005 meters. If the diameter of the model is 3.6 centimeters, what is its actual diameter of the hair follicle?

A 0.0000018 meters

B 0.00000018 meters

C 0.000000018 meters

D 0.0000000018 meters

16. How many gallons can a 10-quart pot hold?

F 0.25 gallon

G 2.25 gallons

H 2.5 gallons

I 40 gallons

17. How many liters are in a 16-ounce drink?

A 0.47 liters C 47 liters

B 4.7 liters D 474 liters

18. Helen rode her bike to school at an average speed of 9 miles per hour. What was her speed in feet per minute?

F 792 feet per minute

G 3960 feet per minute

H 4752 feet per minute

I 39,600 feet per minute

19. Georgia is 1.6 meters tall and casts an 8-meter shadow. How long is the shadow of a 4.8-meter flagpole beside her?

A 0.96 meters C 11.2 meters

B 7.68 meters D 24 meters

20. The end of a 960-foot kite string is anchored to the ground. The string represents a straight line. At a point 24 feet along the string from the anchor point, the string is 6 feet above the ground. How high is the kite flying?

F 30 feet H 144 feet

G 40 feet I 240 feet

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93 Holt McDougal Mathematics

Free Response

Test A

1. Write a ratio that forms a proportion

with

10

25.

_______________________________________

_______________________________________

2. Does the pair of fractions form a proportion?

8

9,

9

8

_______________________________________

3. Which value completes the table below comparing two different serving sizes?

Serving Size (g) Protein (g)

8 12

24

_______________________________________

4. The mass of a block of stone is 3000 kilograms. If the block has a volume of 1.5 cubic meters, what is its density? Remember, density is mass per unit of volume.

_______________________________________

5. What is the price per unit if apples are 5 for $1.20?

_______________________________________

6. A packing machine can pack 2500 boxes in 5 hours. At what rate does the machine work?

________________________________________

7. Solve the following proportion for x.

$15

3 hours =

x

10 hours

________________________________________

8. Solve the following proportion for x.

$30

2 hours =

x

15 hours

________________________________________

9. Is

3

12=

?1

4 a proportion?

________________________________________

10. Triangle ABC is similar to triangle DEF. What is the value of x?

________________________________________

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5

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94 Holt McDougal Mathematics

Free Response

Test A, continued

11. A photograph 20 inches wide by 24 inches long is scaled to 6 inches long in a magazine. What is the width of the published picture?

_______________________________________

12. Write the dimensions of a triangle that is similar to a triangle that measures 7 units by 12 units by 15 units.

_______________________________________

_______________________________________

13. Two cities are separated by 8 inches on a map. The actual distance between the cities is 40 miles. What is the map scale?

_______________________________________

14. A model boat is 15 inches long. If it is built to a scale of 1 inches : 18 feet, how long is the real boat?

_______________________________________

15. A model of an integrated circuit wafer board uses the scale 1 centimeters = 25 millimeters. If the actual circuit wafer board is 225 millimeters wide, how wide is the model?

_______________________________________

16. To the nearest hundredth, how many liters are 250 milliliters?

________________________________________

17. To the nearest whole number, what is

the mass in grams of a 1

3-pound

steak?

________________________________________

18. Lenny rode his bike to school at an average speed of 10 miles per hour. What was his speed in feet per minute?

________________________________________

19. Eric is 2 meters tall and casts a 10-meter shadow. How long is the shadow of an 8-meter flagpole beside him?

________________________________________

20. The end of a 600-foot kite string is anchored to the ground. The string represents a straight line. At a point 100 feet along the string from the anchor point, the string is 25 feet above the ground. How high is the kite flying?

________________________________________

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95 Holt McDougal Mathematics

Free Response

Test B

For 1 and 2, simplify to tell whether the

ratios form a proportion.

1.

4

26 and

2

13

_______________________________________

2.

18

60 and

3

10

_______________________________________

3. Find the value for x that compares the cost of two different weights of salad at the salad bar.

weight (lb) cost ($)

1.5 2.00

7.5 x

_______________________________________

4. The population of a small city is 42,000 people. Calculate the population density (people per square kilometer) if the area of the city is 70 square kilometers.

_______________________________________

_______________________________________

5. Find the unit price for each offer to determine which is the better buy: 6 paperback books for $19.00 or 8 paperback books for $26.00.

_______________________________________

_______________________________________

_______________________________________

6. Jenna ran a 30,000 meter cross country race in 4 hours. What was her average speed, in meters/hour?

________________________________________

________________________________________

For 7 and 8, solve the proportion.

7.

$4.00

10 hours =

y

25 hours

________________________________________

________________________________________

8.

x

$14.00 =

3 tickets

$21.00

________________________________________

________________________________________

9. Is

4

20=

?3

16 a proportion?

________________________________________

10. What is the value of x if the two triangles below are similar?

________________________________________

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5

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96 Holt McDougal Mathematics

Free Response

Test B, continued

11. Lisa is having a 5 inches by 7 inches photo made into a poster with similar dimensions. If the poster is 2 feet wide, how long will it be? Give your answer in feet.

_______________________________________

12. Write the dimensions of a triangle that is similar to a triangle that measures 5 units by 9 units by 14 units.

_______________________________________

13. On a blueprint, the drawing of a building is 12.4 inches long. The actual length of the building is 74.4 feet. What is the scale of the blueprint in inches : feet.

_______________________________________

14. A model of an airplane is 30 centimeters long. If the scale factor is 1 centimeters : 7 meters, what is the length of the actual airplane?

_______________________________________

15. A model of an integrated circuit wafer board uses the scale 3 centimeters = 160 millimeters. If the actual circuit wafer board is 300 millimeters wide, how wide is the model?

_______________________________________

16. To the nearest hundredth, how many hours is 75 minutes?

________________________________________

17. To the nearest hundredth, how many feet is 10 centimeters?

________________________________________

18. A train travels on a section of track at a speed of 48 miles per hour. To the nearest tenth, what is the train's speed in feet per second?

________________________________________

________________________________________

19. Two flagpoles are located in front of the school. The shorter flagpole is 4.5 meters tall and casts a shadow that is 12 meters long. How long is the shadow of the pole that is 13.5 meters tall?

________________________________________

20. A 150 foot cable runs from the top of a utility pole to its anchor point in the ground. At a point 6 feet along the cable from the anchor, the cable is 2 feet above the ground. Given that the cable does not sag, how tall is the utility pole?

________________________________________

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5

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97 Holt McDougal Mathematics

Free Response

Test C

1. Write a ratio that forms a proportion

with

12

18.

_______________________________________

_______________________________________

2. Does the pair of fractions form a proportion?

4

5,

18

20

_______________________________________

3. Which value completes the table below comparing two different serving sizes?

Serving Size (g) Protein (g)

8 20

11

_______________________________________

4. The mass of a block of stone is 6400 kilograms. If the block has a volume of 0.8 cubic meters, what is its density? Remember, density is mass per unit of volume.

_______________________________________

5. What is the price per unit if grapefruits are 4 for $ 1.48?

_______________________________________

6. A packing machine can pack 4500 boxes in 3 hours. At what rate does the machine work?

________________________________________

7. Solve the following proportion for x.

$27

3 hours =

x

11 hours

________________________________________

8. Solve the following proportion for x.

$45

4 hours =

x

10 hours

________________________________________

9. Is

6

8=

?14

20 a proportion?

________________________________________

10. Triangle ABC is similar to triangle DEF. What is the value of x?

________________________________________

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5

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98 Holt McDougal Mathematics

Free Response

Test C, continued

11. A photograph 14 inches wide by 16 inches long is scaled to 4 inches long in a magazine. What is the width of the published picture?

_______________________________________

12. Write the dimensions of a triangle that is similar to a triangle that measures 4.2 units by 6.8 units by 8.4 units.

_______________________________________

_______________________________________

13. Two cities are separated by 6.5 inches on a map. The actual distance between the cities is 48.75 miles. What is the map scale?

_______________________________________

14. A model boat is 11.5 inches long. If it is built to a scale of 1 inches : 16 feet, how long is the real boat?

_______________________________________

15. A model of a hair follicle uses the scale 2 centimeters : 0.0000001 meters. If the diameter of the model is 3.6 centimeters, what is its actual diameter of the hair follicle?

_______________________________________

16. To the nearest hundredth, how many gallons can a 15-quart pot hold?

________________________________________

17. To the nearest hundredth, how many liters are in a 24-ounce drink?

________________________________________

18. Rick rode his bike to school at an average speed of 9.5 miles per hour. What was his speed in feet per minute?

________________________________________

19. Daniel is 2 meters tall and casts a 8.5-meter shadow. How long is the shadow of a 7-meter flagpole beside him?

________________________________________

20. The end of a 900-foot kite string is anchored to the ground. The string represents a straight line. At a point 75 feet along the string from the anchor point, the string is 14 feet above the ground. How high is the kite flying?

________________________________________

CHAPTER

5

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243 Holt McDougal Mathematics

30. I

31. A

32. H

33. B

34. I

35. C

36. G

37. D

38. G

39. D

40. H

41. B

42. H

43. A

44. F

CHAPTER 5

Chapter 5 Section A Quiz

1. B

2. H

3. B

4. F

5. C

6. G

7. C

8. G

Chapter 5 Section B Quiz

1. C

2. F

3. B

4. I

5. D

6. F

7. D

8. G

Chapter 5 Multiple Choice Test A

1. C

2. B

3. A

4. A

5. B

6. D

7. D

8. A

9. A

10. B

11. B

12. A

13. A

14. B

15. C

16. C

17. B

18. A

19. D

20. B

Chapter 5 Multiple Choice Test B

1. A

2. I

3. C

4. H

5. C

6. F

7. C

8. H

9. D

10. H

11. B

12. I

13. C

14. I

15. C

16. I

17. A

18. G

19. C

20. H

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244 Holt McDougal Mathematics

Chapter 5 Multiple Choice Test C

1. B

2. G

3. D

4. H

5. B

6. H

7. B

8. F

9. C

10. G

11. C

12. G

13. B

14. I

15. B

16. H

17. A

18. F

19. D

20. I

Chapter 5 Free Response Test A

1. Answers will vary.Possible answer:

2

5

2. no

3. 36

4. 2000 kilograms per cubic meter

5. $0.24

6. 500 boxes per hour

7. $50

8. $225

9. yes

10. 24

11. 5 inches

12. Answers will vary. Possible answer:

14 × 24 × 30 units

13. 1 inch : 5 miles

14. 270 feet

15. 9 centimeters

16. 0.25 liters

17. 150 grams

18. 880 feet per minute

19. 40 meters

20. 150 feet

Chapter 5 Free Response Test B

1. yes

2. yes

3. 10

4. 600 people per square kilometer

5. 6 books cost $3.17 per book, 8 books cost $3.25 per book, 6 books is the better buy

6. 7500 meters per hour

7. y = $10.00

8. x = 2 tickets 9. no

10. x = 5.2 11. 2.8 feet

12. Answers will vary. Possible answer:

10 × 18 × 28 units

13. 1 inch : 6 feet

14. 210 meters

15. 5.625 centimeters

16. 1.25 hours

17. 0.33 feet

18. 70.4 feet per second

19. 36 meters

20. 50 feet

Chapter 5 Free Response Test C

1. Answers will vary.Possible answer:

2

3

2. no

3. 27.5

4. 8000 kilograms per cubic meter

5. $0.37

6. 1500 boxes per hour

7. $99

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245 Holt McDougal Mathematics

8. $112.50

9. no

10. 12.5

11. 3.5 inches

12. Answers will vary. Possible answer:

8.4 × 13.6 × 16.8 units

13. 1 inch : 7.5 miles

14. 184 feet

15. 0.00000018 meters

16. 3.75 gallons

17. 0.71 liters

18. 836 feet per minute

19. 29.75 meters

20. 168 feet

Chapter 5 Performance Assessment

1. 3 feet

2. 3 feet

3. 16 feet

4. 15 feet by 16 feet

5. 69 feet

6. $162.15

7. 27 square yards

8. $755.73

9. 2 feet, 2.25 feet, and 4 feet

10. 3 feet by 5 feet

11. 769 square feet

12. 3 gallons

Chapter 5 Cumulative Test

1. D

2. H

3. B

4. G

5. A

6. G

7. A

8. F

9. A

10. I

11. B

12. F

13. C

14. F

15. C

16. F

17. A

18. F

19. A

20. H

21. A

22. H

23. A

24. G

25. A

26. I

27. C

28. G

29. A

30. I

31. C

32. G

33. C

34. F

35. C

36. G

37. B

38. I

39. A

CHAPTER 6

Chapter 6 Section A Quiz

1. D

2. G

3. D

4. H

5. A

6. F