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Substitution practice questions with answers

Foundation and Higher · Grade 3

A second set of substitution 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

x = 4. Work out 2x − 1.

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Answer: 7

  1. Replace x with 4: 2 × 4 − 1.
  2. Multiplication comes first: 2 × 4 = 8, so 8 − 1.
  • Method (1): Replace x with 4: 2 × 4 − 1.
  • Accuracy (1): Answer 7

Question 2 Easy

x = 4. Work out x² + 1.

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Answer: 17

  1. Replace x with 4: 4² + 1.
  2. Indices come first: 4² = 16, so 16 + 1.
  • Method (1): Replace x with 4: 4² + 1.
  • Accuracy (1): Answer 17

Question 3 Medium

x = 6. Work out 2x − 1.

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Answer: 11

  1. Replace x with 6: 2 × 6 − 1.
  2. Multiplication comes first: 2 × 6 = 12, so 12 − 1.
  • Method (1): Replace x with 6: 2 × 6 − 1.
  • Accuracy (1): Answer 11

Question 4 Medium

x = 5. Work out x² + 1.

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Answer: 26

  1. Replace x with 5: 5² + 1.
  2. Indices come first: 5² = 25, so 25 + 1.
  • Method (1): Replace x with 5: 5² + 1.
  • Accuracy (1): Answer 26

Question 5 Hard

x = 8. Work out 2x − 1.

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Answer: 15

  1. Replace x with 8: 2 × 8 − 1.
  2. Multiplication comes first: 2 × 8 = 16, so 16 − 1.
  • Method (1): Replace x with 8: 2 × 8 − 1.
  • Accuracy (1): Answer 15

Question 6 Hard

x = 6. Work out x² + 1.

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Answer: 37

  1. Replace x with 6: 6² + 1.
  2. Indices come first: 6² = 36, so 36 + 1.
  • Method (1): Replace x with 6: 6² + 1.
  • Accuracy (1): Answer 37

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

x = 10. Work out 3x + 2.

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Answer: 32

  1. Replace x with 10: 3 × 10 + 2.
  2. Multiplication comes first: 3 × 10 = 30, so 30 + 2.
  3. The value is 32.
  • Method (1): Replace x with 10: 3 × 10 + 2.
  • Accuracy (1): Answer 32

Quick checks

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

Check 1

x = 12. Work out 3x + 2.

  1. 38
  2. 314
  3. 17
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38 The result is 38.

Check 2

x = 12. Work out 2x − 1.

  1. 23
  2. 211
  3. 25
Show answer

23 The result is 23.

Check 3

x = 8. Work out x² + 1.

  1. 65
  2. 17
  3. 81
Show answer

65 The result is 65.

Check 4

x = −7. Work out 3x + 2.

  1. -19
  2. 23
  3. -23
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-19 The result is -19.

Check 5

x = 14. Work out 3x + 2.

  1. 44
  2. 316
  3. 19
Show answer

44 The result is 44.

Check 6

x = 14. Work out 2x − 1.

  1. 27
  2. 213
  3. 29
Show answer

27 The result is 27.

Check 7

x = 9. Work out x² + 1.

  1. 82
  2. 19
  3. 100
Show answer

82 The result is 82.

Check 8

x = −8. Work out 3x + 2.

  1. -22
  2. 26
  3. -26
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-22 The result is -22.

Check 9

x = 16. Work out 3x + 2.

  1. 50
  2. 318
  3. 21
Show answer

50 The result is 50.

Check 10

x = 16. Work out 2x − 1.

  1. 31
  2. 215
  3. 33
Show answer

31 The result is 31.

Check 11

x = 10. Work out x² + 1.

  1. 101
  2. 21
  3. 121
Show answer

101 The result is 101.

Check 12

x = −9. Work out 3x + 2.

  1. -25
  2. 29
  3. -29
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-25 The result is -25.

Check 13

x = 18. Work out 3x + 2.

  1. 56
  2. 320
  3. 23
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56 The result is 56.

Check 14

x = 18. Work out 2x − 1.

  1. 35
  2. 217
  3. 37
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35 The result is 35.

Check 15

x = 11. Work out x² + 1.

  1. 122
  2. 23
  3. 144
Show answer

122 The result is 122.

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