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Plans & elevations practice questions with answers

Foundation and Higher · Grade 4 · Non-calculator

A second set of plans & elevations 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 cuboid is 10 cm wide (across the front), 12 cm long (front to back) and 3 cm high. What is the area of the plan in cm²?

Show answer

Answer: 120

  1. The plan shows the 12 cm length and the 10 cm width.
  2. Area = 12 × 10.
  • Method (1): The plan shows the 12 cm length and the 10 cm width.
  • Accuracy (1): Answer 120

Question 2 Easy

A cuboid is 9 cm wide (across the front), 11 cm long (front to back) and 5 cm high. What is the area of the side elevation in cm²?

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Answer: 55

  1. The side elevation shows the 11 cm length and the 5 cm height.
  2. Area = 11 × 5.
  • Method (1): The side elevation shows the 11 cm length and the 5 cm height.
  • Accuracy (1): Answer 55

Question 3 Medium

A cuboid is 10 cm wide (across the front), 11 cm long (front to back) and 6 cm high. What is the area of the plan in cm²?

Show answer

Answer: 110

  1. The plan shows the 11 cm length and the 10 cm width.
  2. Area = 11 × 10.
  • Method (1): The plan shows the 11 cm length and the 10 cm width.
  • Accuracy (1): Answer 110

Question 4 Medium

A cuboid is 9 cm wide (across the front), 13 cm long (front to back) and 3 cm high. What is the area of the side elevation in cm²?

Show answer

Answer: 39

  1. The side elevation shows the 13 cm length and the 3 cm height.
  2. Area = 13 × 3.
  • Method (1): The side elevation shows the 13 cm length and the 3 cm height.
  • Accuracy (1): Answer 39

Question 5 Hard

A cuboid is 10 cm wide (across the front), 13 cm long (front to back) and 4 cm high. What is the area of the plan in cm²?

Show answer

Answer: 130

  1. The plan shows the 13 cm length and the 10 cm width.
  2. Area = 13 × 10.
  • Method (1): The plan shows the 13 cm length and the 10 cm width.
  • Accuracy (1): Answer 130

Question 6 Hard

A cuboid is 9 cm wide (across the front), 12 cm long (front to back) and 6 cm high. What is the area of the side elevation in cm²?

Show answer

Answer: 72

  1. The side elevation shows the 12 cm length and the 6 cm height.
  2. Area = 12 × 6.
  • Method (1): The side elevation shows the 12 cm length and the 6 cm height.
  • Accuracy (1): Answer 72

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

A cuboid is 7 cm wide (across the front), 13 cm long (front to back) and 5 cm high. What is the area of the plan in cm²?

Show answer

Answer: 91

  1. The plan shows the 13 cm length and the 7 cm width.
  2. Area = 13 × 7.
  3. 13 × 7 = 91 cm².
  • Method (1): The plan shows the 13 cm length and the 7 cm width.
  • Accuracy (1): Answer 91

Quick checks

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

Check 1

A cuboid is 7 cm wide (across the front), 12 cm long (front to back) and 3 cm high. What is the area of the front elevation in cm²?

  1. 21
  2. 84
  3. 36
Show answer

21 The result is 21.

Check 2

A cuboid is 10 cm wide (across the front), 11 cm long (front to back) and 5 cm high. What is the area of the plan in cm²?

  1. 110
  2. 50
  3. 55
Show answer

110 The result is 110.

Check 3

A cuboid is 9 cm wide (across the front), 13 cm long (front to back) and 2 cm high. What is the area of the side elevation in cm²?

  1. 26
  2. 117
  3. 18
Show answer

26 The result is 26.

Check 4

A plan of a room is drawn so that 1 cm on the plan represents 7 m in real life. A wall is 10 cm long on the plan. How long is the real wall in metres?

  1. 70
  2. 17
  3. 1.43
Show answer

70 The result is 70.

Check 5

A cuboid is 7 cm wide (across the front), 11 cm long (front to back) and 6 cm high. What is the area of the front elevation in cm²?

  1. 42
  2. 77
  3. 66
Show answer

42 The result is 42.

Check 6

A cuboid is 10 cm wide (across the front), 13 cm long (front to back) and 3 cm high. What is the area of the plan in cm²?

  1. 130
  2. 30
  3. 39
Show answer

130 The result is 130.

Check 7

A cuboid is 9 cm wide (across the front), 12 cm long (front to back) and 5 cm high. What is the area of the side elevation in cm²?

  1. 60
  2. 108
  3. 45
Show answer

60 The result is 60.

Check 8

A plan of a room is drawn so that 1 cm on the plan represents 3 m in real life. A wall is 3 cm long on the plan. How long is the real wall in metres?

  1. 9
  2. 6
  3. 1
Show answer

9 The result is 9.

Check 9

A cuboid is 7 cm wide (across the front), 13 cm long (front to back) and 4 cm high. What is the area of the front elevation in cm²?

  1. 28
  2. 91
  3. 52
Show answer

28 The result is 28.

Check 10

A cuboid is 10 cm wide (across the front), 12 cm long (front to back) and 6 cm high. What is the area of the plan in cm²?

  1. 120
  2. 60
  3. 72
Show answer

120 The result is 120.

Check 11

A cuboid is 9 cm wide (across the front), 11 cm long (front to back) and 3 cm high. What is the area of the side elevation in cm²?

  1. 33
  2. 99
  3. 27
Show answer

33 The result is 33.

Check 12

A plan of a room is drawn so that 1 cm on the plan represents 7 m in real life. A wall is 5 cm long on the plan. How long is the real wall in metres?

  1. 35
  2. 12
  3. 0.71
Show answer

35 The result is 35.

Check 13

A cuboid is 7 cm wide (across the front), 12 cm long (front to back) and 2 cm high. What is the area of the front elevation in cm²?

  1. 14
  2. 84
  3. 24
Show answer

14 The result is 14.

Check 14

A cuboid is 10 cm wide (across the front), 11 cm long (front to back) and 4 cm high. What is the area of the plan in cm²?

  1. 110
  2. 40
  3. 44
Show answer

110 The result is 110.

Check 15

A cuboid is 9 cm wide (across the front), 13 cm long (front to back) and 6 cm high. What is the area of the side elevation in cm²?

  1. 78
  2. 117
  3. 54
Show answer

78 The result is 78.

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