Scale Factors and Scale Drawings

Calculate the scale factor if the actual length is 10 cm and the corresponding length on the scale drawing is 2 cm.

• 5

• 3

• 8

• 2.5

Tags

CCSS.7.G.A.1

If the scale factor is 1:5, and the actual measurement is 20 cm, what is the measurement on the scale drawing?

• 4 cm

• 25 cm

• 15 cm

• 10 cm

Tags

CCSS.7.G.A.1

Find the scale factor if the actual length is 15 cm and the length on the scale drawing is 3 cm.

• 5

• 2

• 7

• 10

Tags

CCSS.7.G.A.1

A scale drawing of a room has a length of 6 inches. If the scale is 1 inch = 4 feet, what is the actual length of the room?

• 12 feet

• 24 feet

• 36 feet

• 48 feet

Tags

CCSS.7.G.A.1

A Lego model of the Burj Khalifa was created using a scale of 1 foot = 650 feet. If the lego model reaches a height of 4.18 feet, what is the height of the Burj Khalifa?

• 2,717 feet

• 2, 152 feet

• 2, 376 feet

Tags

CCSS.6.RP.A.3D

A scale drawing of Mt. Marcy is 17.8 inches high. Determine the actual height of Mt. Marcy if the scale used for the drawing was 1.5 inches = 450 feet.

• 8,010 feet

• 5,340 feet

• 12,015 feet

Tags

CCSS.7.RP.A.2C

The two rectangles are scale drawings. What is the measurement of x?

• 21

• 1.25

• 20

• 4

Tags

CCSS.7.G.A.1

The scale for a flagpole is 3 in = 8 ft.  If the drawing of the flagpole is 7.5 inches in height, how tall is the ACTUAL flagpole?

• 180 feet

• 3.1 feet

• 20 feet

• 9 feet

Tags

CCSS.7.G.A.1

Match the following dilations by a scale factor of 1/2.

• (3,4)

• (-6,-8)

• (0,0)

• (10,2)

• (-3, -4)

• (0, -10)

• (5,1)

• (0,0)

• (0, -5)

• (6,8)

Answer explanation

Note that 0/2 is still 0

so (0,0) dilated by 1/2 is still at (0,0)

(0,-10) dilated by a 1/2 is at

(0, -5)

Tags

CCSS.8.G.A.3

Triangle DGF is a scale copy of Triangle EGD. Find the value of x.

• 4.8

• 6.4

• 7.5

• 8

Tags

CCSS.7.G.A.1