Use a proportion to solve the problem. 2) A building casts a shadow 26 m long. At the same time, the shadow cast by a 40-cm tall pole is 66cm long. Find the height of the building. Round your answer to the nearest tenth of a meter

Exam

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find fractional notation for the ratio. You need not simplify. 1) 705.3 to 230.3 1)

A) 935.6 230.3

B) 705.3 230.3

C) 230.3 935.6

D) 230.3 705.3

Use a proportion to solve the problem. 2) A building casts a shadow 26 m long. At the same time, the shadow cast by a 40-cm tall pole is 66cm long. Find the height of the building. Round your answer to the nearest tenth of a meter. 2)

A) 15.8 m B) 41.4 m C) 42.9 m D) 14.3 m

3) A baseball team has played 9 games so far this season. The team won 5 games. Find the ratio of games lost to games won.

3)

A) 9 5

B) 5 9

C) 5 4

D) 4 5

Find the indicated rate. 4) Tim’s car will go 445.5 miles on 13.5 gallons of gasoline in city driving. What is the rate in miles per

gallon? 4)

A) 33.5 mpg B) 32.5 mpg C) 33 mpg D) 1 33

mpg

The two triangles below are similar. Find the missing length(s). 5)

8.1

5.4

5)

A) x = 6.3; y = 3.6 B) x = 6.3; y = 3.9 C) x = 1.24; y = 3.6 D) x = 7.2; y = 3.9

Determine whether the two pairs of numbers are proportional. 6) 60, 21 and 110, 30 6)

A) No B) Yes

7)

26 5 13

24 12

7)

A) x = 7 B) x = 10 C) x = 5 D) x = 15

1

8) A baseball team has played 8 games so far this season. The team won 7 games. What is the ratio of games won to games played so far?

8)

A) 7 15

B) 15 7

C) 8 7

D) 7 8

9) 5, 1 3 4

and 20, 7 9)

A) Yes B) No

10) Find the height of the building. Assume that the height of the person is 5 ft.

169 ft

13 ft 5 ft

10)

A) 91 ft B) 33.8 ft C) 65 ft D) 439.4 ft

Solve. Give your answer as a mixed number if appropriate.

11) 45 10

= n 14

11)

A) 63 1 2

B) 63 2 3

C) 63 1 4

D) 63

Simplify the ratio. 12) 28 miles to 44 miles 12)

A) 7 11

B) 28 44

C) 7 44

D) 4

Solve the problem. 13) A 24-oz package of coffee costs $4.98. Find the unit price in cents per ounce. Round to the nearest

thousandth of a cent. 13)

A) 2.075 cents/oz B) 0.208 cents/oz C) 4.819 cents/oz D) 20.750 cents/oz

14) The ratio of the height to the width of a packaging label is 5 to 19. If the height of the label is 3.5 inches, what is its width?

14)

A) 22.5 in. B) 13.3 in. C) 8.5 in. D) 0.9 in.

2

The sides in the pair of figures are proportional. Find the missing length(s). 15)

Give your answers as mixed numbers if appropriate.

15)

A) x = 15 3 4

, y = 6 1 4

B) x = 16 1 4

, y = 6 3 4

C) x = 16 1 2

, y = 6 1 2

D) x = 16 1 4

, y = 6 1 4

Solve.

16) 21.1 25.6

= 126.6

x 16)

A) 5.77 B) 27.1 C) 153.6 D) 626.077

17) A label printer prints 8 pages of labels in 2.5 seconds. How long will it take to print 72 pages of labels?

17)

A) 25.50 sec B) 24.50 sec C) 26.50 sec D) 22.50 sec

Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate. 18) 54 km, 6 hr 18)

A) 9 hr km

B) 54 km hr

C) 9 km hr

D) 54 hr km

19)

14 21

10 15

20

19)

A) x = 35 B) x = 28 C) x = 26 D) x = 20

20) On a map, the length of a nature-center trail is 6.1 centimeters. If the scale is 3 centimeters to 30 kilometers, what is the actual length of the trail?

20)

A) 122 km B) 62 km C) 65 km D) 61 km

21) m 5.6

= 2.08 4.48

21)

A) 4.8 B) 5.6 C) 2.6 D) 1.7

3

22) The ratio of the distances a 7-iron and a 5-iron will drive a golf ball is 5 to 6. If a golfer averages 137 yards with a 7-iron, how far should he average with a 5-iron?

22)

A) 126 yd B) 148 yd C) 164.4 yd D) 114 yd

23)

20

12 8

23)

A) x = 30 B) x = 24 C) x = 32 D) x = 18

24) Under typical conditions, 1 1 2

ft of snow will melt to 2 in. of water. To how many inches of water

will 3 1 3

ft of snow melt?

24)

A) 4 5 9

in. B) 5 in. C) 4 4 9

in. D) 6 2 3

in.

Determine which purchase has the lower unit price. 25) Brand A: 18 oz for $10.08

Brand B: 21 oz for $12.39 25)

A) Not enough information B) Brand B C) Brand A D) Equal value

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