Scale drawings worksheet

Grade 7 math, Common Core 7.G.A.1. 10 problems with an answer key and worked steps. Free to print, and you can make new problems any time.

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Scale drawings

Grade 7 math, Common Core 7.G.A.1

Use the scale to answer each question.

1.
A floor plan uses the scale 1 cm : 2 m. A room is 4 m long. How long is it on the plan?
2.
A model car is 4 cm long. The real car is 200 cm long. What scale was used?
3.
A map uses the scale 1 inch : 10 miles. Two towns are 6.5 inches apart on the map. How far apart are they really?
4.
A map uses the scale 1 inch : 10 miles. Two towns are 5.5 inches apart on the map. How far apart are they really?
5.
A floor plan uses the scale 1 cm : 2 m. A room is 10 m long. How long is it on the plan?
6.
A drawing of a garden is 5 in by 3 in, with the scale 1 in : 3 ft. What is the real area of the garden?
7.
A drawing of a garden is 4 in by 2 in, with the scale 1 in : 4 ft. What is the real area of the garden?
8.
A floor plan uses the scale 1 cm : 4 m. A room is 20 m long. How long is it on the plan?
9.
A floor plan uses the scale 1 cm : 5 m. A room is 25 m long. How long is it on the plan?
10.
A drawing of a garden is 2 in by 5 in, with the scale 1 in : 4 ft. What is the real area of the garden?

Answer key: Scale drawings

Grade 7 math. Each answer has a few worked steps, to help check the method as well as the answer.

1. 2 cm
4 ÷ 2 = 2
2. 1 cm : 50 cm (1 : 50)
200 ÷ 4 = 50
3. 65 miles
6.5 × 10 = 65
4. 55 miles
5.5 × 10 = 55
5. 5 cm
10 ÷ 2 = 5
6. 135 ft²
Real size: 15 ft by 9 ft15 × 9 = 135
7. 128 ft²
Real size: 16 ft by 8 ft16 × 8 = 128
8. 5 cm
20 ÷ 4 = 5
9. 5 cm
25 ÷ 5 = 5
10. 160 ft²
Real size: 8 ft by 20 ft8 × 20 = 160

The answer key prints on its own page. You’re welcome to print and copy these worksheets for your own kids or class.

About scale drawings

A scale drawing shows a real object smaller (or bigger) by the same factor in every direction. The scale, like 1 inch : 25 miles, tells you how drawing lengths match real lengths. Multiply by the scale to go from the drawing to real life, and divide to go back.

Worked example 1

A model car is 8 cm long. The real car is 160 cm long. What scale was used?

Step 1.160 ÷ 8 = 20

Answer: 1 cm : 20 cm (1 : 20)

Worked example 2

A floor plan uses the scale 1 cm : 5 m. A room is 10 m long. How long is it on the plan?

Step 1.10 ÷ 5 = 2

Answer: 2 cm

Worked example 3

A map uses the scale 1 inch : 50 miles. Two towns are 5.5 inches apart on the map. How far apart are they really?

Step 1.5.5 × 50 = 275

Answer: 275 miles

Watch out for

Write the scale as a ratio and keep the units with each number.
Set up a proportion: drawing over real equals drawing over real.
Areas don’t scale the same way as lengths: find the real lengths first, then the area.

Practice scale drawings online

On StudyWiz, your kid can practice scale drawings with 5-question quizzes that are checked as they go, with an explanation for every answer. When a homework problem is the trouble, Wiz gives a hint for each step instead of the answer.

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