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Scale drawings practice questions with answers

Foundation and Higher · Grade 3

A second set of scale drawings questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

More questions

Question 1 Easy

A plan uses the scale 1:50. A wall is 6 cm long on the plan. How long is the real wall, in metres?

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Answer: 3 m

  1. Real length = 6 × 50 = 300 cm.
  2. There are 100 cm in 1 m, so 300 ÷ 100 = 3.
  • Method (1): Real length = 6 × 50 = 300 cm.
  • Accuracy (1): Answer 3 m

Question 2 Easy

A plan uses the scale 1:50. A path is 4 cm on the plan. How many centimetres is the real path?

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Answer: 200 cm

  1. Real length = plan length × 50.
  2. 4 × 50 = 200.
  • Method (1): Real length = plan length × 50.
  • Accuracy (1): Answer 200 cm

Question 3 Medium

A plan uses the scale 1:50. A path is 5 cm on the plan. How many centimetres is the real path?

Show answer

Answer: 250 cm

  1. Real length = plan length × 50.
  2. 5 × 50 = 250.
  • Method (1): Real length = plan length × 50.
  • Accuracy (1): Answer 250 cm

Question 4 Medium

The scale is 1:50. A wall is 250 cm in real life. How many centimetres long is it on the drawing?

Show answer

Answer: 5 cm

  1. Drawing length = real length ÷ 50.
  2. 250 ÷ 50 = 5.
  • Method (1): Drawing length = real length ÷ 50.
  • Accuracy (1): Answer 5 cm

Question 5 Hard

The scale is 1:50. A wall is 300 cm in real life. How many centimetres long is it on the drawing?

Show answer

Answer: 6 cm

  1. Drawing length = real length ÷ 50.
  2. 300 ÷ 50 = 6.
  • Method (1): Drawing length = real length ÷ 50.
  • Accuracy (1): Answer 6 cm

Question 6 Hard

A plan uses the scale 1:50. A wall is 12 cm long on the plan. How long is the real wall, in metres?

Show answer

Answer: 6 m

  1. Real length = 12 × 50 = 600 cm.
  2. There are 100 cm in 1 m, so 600 ÷ 100 = 6.
  • Method (1): Real length = 12 × 50 = 600 cm.
  • Accuracy (1): Answer 6 m

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 12 marks

The scale is 1:50. A wall is 350 cm in real life. How many centimetres long is it on the drawing?

Show answer

Answer: 7 cm

  1. Drawing length = real length ÷ 50.
  2. 350 ÷ 50 = 7.
  3. The wall is 7 cm long on the drawing.
  • Method (1): Drawing length = real length ÷ 50.
  • Accuracy (1): Answer 7 cm

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

A plan uses the scale 1:50. A wall is 16 cm long on the plan. How long is the real wall, in metres?

  1. 8 m
  2. 800 m
  3. 80 m
Show answer

8 m The result is 8 m.

Check 2

A plan uses the scale 1:50. A path is 9 cm on the plan. How many centimetres is the real path?

  1. 450 cm
  2. 59 cm
  3. 0.18 cm
Show answer

450 cm The result is 450 cm.

Check 3

The scale is 1:50. A wall is 450 cm in real life. How many centimetres long is it on the drawing?

  1. 9 cm
  2. 22500 cm
  3. 400 cm
Show answer

9 cm The result is 9 cm.

Check 4

A plan uses the scale 1:50. A wall is 18 cm long on the plan. How long is the real wall, in metres?

  1. 9 m
  2. 900 m
  3. 90 m
Show answer

9 m The result is 9 m.

Check 5

A plan uses the scale 1:50. A path is 10 cm on the plan. How many centimetres is the real path?

  1. 500 cm
  2. 60 cm
  3. 0.2 cm
Show answer

500 cm The result is 500 cm.

Check 6

The scale is 1:50. A wall is 500 cm in real life. How many centimetres long is it on the drawing?

  1. 10 cm
  2. 25000 cm
  3. 450 cm
Show answer

10 cm The result is 10 cm.

Check 7

A plan uses the scale 1:50. A wall is 20 cm long on the plan. How long is the real wall, in metres?

  1. 10 m
  2. 1000 m
  3. 100 m
Show answer

10 m The result is 10 m.

Check 8

A plan uses the scale 1:50. A path is 11 cm on the plan. How many centimetres is the real path?

  1. 550 cm
  2. 61 cm
  3. 0.22 cm
Show answer

550 cm The result is 550 cm.

Check 9

The scale is 1:50. A wall is 550 cm in real life. How many centimetres long is it on the drawing?

  1. 11 cm
  2. 27500 cm
  3. 500 cm
Show answer

11 cm The result is 11 cm.

Check 10

A plan uses the scale 1:50. A wall is 22 cm long on the plan. How long is the real wall, in metres?

  1. 11 m
  2. 1100 m
  3. 110 m
Show answer

11 m The result is 11 m.

Check 11

A plan uses the scale 1:50. A path is 12 cm on the plan. How many centimetres is the real path?

  1. 600 cm
  2. 62 cm
  3. 0.24 cm
Show answer

600 cm The result is 600 cm.

Check 12

The scale is 1:50. A wall is 600 cm in real life. How many centimetres long is it on the drawing?

  1. 12 cm
  2. 30000 cm
  3. 550 cm
Show answer

12 cm The result is 12 cm.

Check 13

A plan uses the scale 1:50. A wall is 24 cm long on the plan. How long is the real wall, in metres?

  1. 12 m
  2. 1200 m
  3. 120 m
Show answer

12 m The result is 12 m.

Check 14

A plan uses the scale 1:50. A path is 13 cm on the plan. How many centimetres is the real path?

  1. 650 cm
  2. 63 cm
  3. 0.26 cm
Show answer

650 cm The result is 650 cm.

Check 15

The scale is 1:50. A wall is 650 cm in real life. How many centimetres long is it on the drawing?

  1. 13 cm
  2. 32500 cm
  3. 600 cm
Show answer

13 cm The result is 13 cm.

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