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Scale Drawing and Models

Total questions: 13

Worksheet time: 13mins

Name
Class
Date
1.

Find the height of a door on a scale drawing if the door is 2 meters tall and the scale is 1 centimeter = 4 meters. Round to the nearest tenth

a)

2 cm

b)

1/2 cm

c)

8 cm

d)

1/4 cm

2.

The scale on a highway construction drawing is 0.5 inches for every 45 miles. If the drawing shows the highway is 4 inches long, how long is the actual highway

a)

360 mi

b)

11.25 mi

c)

180 mi

d)

22.5 in

3.

Adam drafts his favorite modular home on a scale drawing. The drawing scale is 2 inches for each foot. If the drawing is

60 inches long, how long is the actual modular home?

a)

120 in

b)

120 ft

c)

30 in

d)

30 ft

4.

A map has a scale of 2 cm for every 25 miles. The distance on the map between Griffin Park and the San Diego Zoo is 10 cm. How far is the actual distance?

a)

125 mi

b)

250 mi

c)

20 mi

d)

5 mi

5.

What is the scale of a drawing where a 6 m wall is 4 cm long?

a)

1 cm = .66 m

b)

1 cm = 1.5 m

c)

1 cm = 3 m

d)

1 cm = 4 m

6.

A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?

a)

90 ft

b)

7.5 ft 

c)

4.5 ft

d)

45 in

7.

To create a model of an artery, a health teacher uses the scale 2.5 cm:0.75 mm. If the diameter of the artery is 2.7 mm, what is the diameter on the model?

a)

9 cm

b)

18 cm

c)

90 cm

d)

9 m 

8.

Tell whether each scale reduces, enlarges, or preserves the size of an actual object.
10 ft:24 in. 

a)

reduces

b)

enlarges

c)

preserves

9.

Tell whether each scale reduces, enlarges, or preserves the size of an actual object.
20 cm:1000 mm

a)

reduces 

b)

enlarges 

c)

preserves

10.

Change both measurements to the same unit of measure, and find the scale factor.
1 ft model of a 1 in. fossil 

a)

12/1

b)

6/1

c)

18/1

d)

24/1

11.

A scale model of a house is 1 ft long. The actual house is 36 ft long. In the model, the door is 2 in. high. How many feet high is the actual door?

a)

12 feet

b)

6 feet

c)

18 feet

d)

4 feet

12.

The straight-line distances between Houston and several cities on a map of Texas are shown in the table. The scale is 2 cm:50 mi. Find the actual distances in miles.
Answers are for Austin and Galveston (respectively).

a)

145 miles and 47.5 miles

b)

317. 5 miles and 145 miles

c)

145 miles and 47.5 miles

d)

225 miles and 145 miles

13.

On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?

a)

200 miles

b)

175 miles

c)

100 miles

d)

125 miles