Applying Proportion to Scale Models

What is the scale factor?

• 1/2

• 7/3

• 2

• 10/3

Answer explanation

The scale factor is the ratio of the dimensions of a figure to the dimensions of a similar figure. In this case, the correct scale factor is 2, meaning the dimensions are doubled.

Tags

CCSS.7.G.A.1

The height of a telephone pole on a map is 6 cm. The scale is 2cm:20m. What is the actual height of the telephone pole?

• 6 m

• 10 m

• 18 m

• 60 m

Answer explanation

The scale 2cm:20m means 1cm represents 10m. The height on the map is 6cm, so the actual height is 6cm x 10m/cm = 60m. Therefore, the correct answer is 60 m.

Tags

CCSS.6.RP.A.3B

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

• 1 cm = .66 m

• 1 cm = 1.5 m

• 1 cm = 3 m

• 1 cm = 4 m

Tags

CCSS.7.G.A.1

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?

• 90 ft

• 7.5 ft 

• 4.5 ft

• 45 in

Tags

CCSS.7.RP.A.2C

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?

• 9 cm

• 18 cm

• 90 cm

• 9 m 

Tags

CCSS.7.RP.A.2C

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

• 12/1

• 6/1

• 18/1

• 24/1

Tags

CCSS.6.RP.A.3B

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?

• 12 feet

• 6 feet

• 18 feet

• 4 feet

Tags

CCSS.6.RP.A.3B

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).

• 145 miles and 47.5 miles

• 317. 5 miles and 145 miles

• 145 miles and 47.5 miles

• 225 miles and 145 miles

Tags

CCSS.6.RP.A.3B

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?

• 200 miles

• 175 miles

• 100 miles

• 125 miles

Tags

CCSS.6.RP.A.3B

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

• reduces

• enlarges

• preserves

Tags

CCSS.7.G.A.1