Scale Factor Study Guide

The ratio of a model's measurement to the actual object's measurement is called the _____.

• Scale Factor

• Scale Drawing

• Greater Than One

• Less Than One

• Scale

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

If a model is larger than the actual object, the scale factor is _____.

• Scale Factor

• Scale Drawing

• Greater Than One

• Less Than One

• Scale

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

A _____ is an example of a type of model that is a drawing of an object or place.

• Scale Factor

• Scale Drawing

• Greater Than One

• Less Than One

• Scale

Tags

CCSS.7.G.A.1

A _____ shows a given measure that is used to represent another measure, typically using a unit to represent another, different unit.

• Scale Factor

• Scale Drawing

• Greater Than One

• Less Than One

• Scale

Tags

CCSS.7.G.A.1

If a model is smaller than the actual object, the scale factor is _____.

• Scale Factor

• Scale Drawing

• Greater Than One

• Less Than One

• Scale

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

The scale drawing of the house shown below was created using the scale 8 in. = 336 in.

•  $\frac{1}{42}$ 

• 42

•  $\frac{2}{55}$ 

• 21

Answer explanation

First make a ratio, remember  $\frac{model}{actual}$ 

  $\frac{8}{336}$  
Now simplify that ratio.

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

The actual tree on the left is 18 feet tall. The model tree on the right is 6 inches tall. What is the scale factor?

• $\frac{12}{36}$

• 36

• $\frac{1}{45}$

• $\frac{1}{36}$

Answer explanation

First make a ratio $\frac{model}{actual}$
Make sure to turn the feet to inches.

Simplify the ratio

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

The diagram above shows a scale drawing of an overpass bridge. If the diagram uses a scale of 1 centimeter equal to 10 feet, what is the length of the actual bridge in feet?

• 1.5

• 25

• 45

• 150

Answer explanation

Multiply the length in centimeters times 10 (your scale is 1 cm - 10 feet)

Tags

CCSS.7.G.A.1

.

The Morgan family is planning a trip from Yuma to Bakersfield. This map uses a scale of 1 cm = 42 miles and shows that the distance from Yuma to Bakersfield is about 9.5 centimeters. How many miles will the Morgan family travel to get to Bakersfield?

• 51.5

• 137

• 441

• 192

Answer explanation

Multiply the length in centimeters on the map times 42 (your scale is 1 cm = 42 miles)

Tags

CCSS.7.G.A.1

The scale on a map is 0.5 centimeter = 3 kilometers. On the map, Town B is 15.5 centimeters away from Town A. What is the actual distance between the towns?

• 930 km

• 4.65 km

• 46.5 km

• 93 km

Answer explanation

First change your scale to 1 cm = 6 km

Now multiply 15.5 times 6

Tags

CCSS.7.G.A.1