Scales and Proportions

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 millimeters. What is the actual height of the train?

• 4,896,000 millimeters

• 4,896 millimeters

• 48.96 meters

• 2.125 millimeters

Kiera measured a farm and made a scale drawing. In real life, the goat pen is 18 meters long. It is 6 centimeters long in the drawing. What scale did Kiera use for the drawing?

• 1 cm = 6 meters

• 1 m = 18 centimeters

• 18 centimeters = 6 meters

• 1 cm = 3 meters

A map has a scale of 1 cm=5km.  On the map, two cities are 3 cm apart. What is the actual distance between these cities? 

• 7 km

• 5 km

• 15 km

• 17 km 

Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?

• 25 inches

• 60 inches

• 1/30 inch

• 30 inches

A family makes homemade pickles. They pick the pickles at a rate of 80 pickles per 5 jars. Which answer choices best represent packing y pickles in x jars at that rate? Select TWO correct answers.

• 10 miles

• 5 miles

• 6 miles

• 8 miles

What is the scale of a drawing where a 6 meter wall is 4 centimeters long?

• 1 cm = .66 m

• 1 cm = 1.5 m

• 1 cm = 3 m

• 1 cm = 4 m

Answer the following questions.

c

d

g

i

f

10,500

1,500

10

4500

y = 1500x

100

y=10x

y=4500x

no

yes

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

• 14 in

• 7 in

• 42 in

• 56 in

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?

• 87 km

• 216 km 

• 33 km

• 192 km