Lesson Worksheet: Scale Drawings and Models Mathematics • 7th Grade

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In this worksheet, we will practice calculating the scale factor and the dimensions of both the scaled model and the actual object and applying this to real-world problems.

Q1:

The distance between two cities on a map is 17 cm and the actual distance between them is 68 km. If the distance between two other cities on the same map is 15 cm, determine the real distance between them.

Q2:

A line on a drawing is 3 cm long. In real life, the object represented is km long. What is the drawing scale?

A1 : 190,000
B1 : 57,000
C1 : 5,700,000
D1 : 300
E1 : 1,900,000

Q3:

James is drawing a map to a scale of . If the distance between two cities on the map is 4.5 cm, find the actual distance between them in kilometers.

Q4:

A model of a tree is made using a scale of . Find the height of the actual tree if the height of the model is in.

A ft
B80 ft
C ft
D30 ft

Q5:

A picture with width 13 mm and height 37 mm is magnified so that its width becomes 3.25 cm and height becomes cm. Find the value of .

Q6:

An engineer makes a model of a 600-meter-tall tower to a scale of . What is the model’s height in centimeters?

Q7:

Determine the scale factor for .

Q8:

An apartment’s ceiling is 19 feet high. However, its height on a scale drawing is only 4 inches. Determine the scale of the drawing.

A1 inch = 57 feet
B1 inch = 2.53 feet
C1 inch = 14.25 feet
D1 inch = 4.75 feet
E1 inch = 0.21 feet

Q9:

If the scale factor from a statue to a reduced model for a display is 16 feet to 7 feet, and the height of the original statue is 55 feet, find the height of the model.

A46 ft
B ft
C ft
D ft
E ft

Q10:

Given a scale drawing, which of the following is equal to the scale?

This lesson includes 65 additional questions and 486 additional question variations for subscribers.

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