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Formulae and changing the subject: Edexcel GCSE Maths questions

Every Edexcel GCSE Maths exam question on A5 Formulae and changing the subject, 2017–2025, with its mark scheme and examiner’s report.

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997 questions

  1. Q2

    June 2025 · Paper 3H

    3 marksA5 Formulae and changing the subjectA4 Simplifying, expanding and factorising
    The whole paper ↗
    June 2025 Paper 3H, question 2: Ben is trying to make m the subject of p = m 3 + 5 Here is his working. p – 5 = m 3 3 × p – 5 = m m = 3 p – 5 Ben’s answer is wrong. (a) What mistake has Ben ma

  2. Q15

    November 2024 · Paper 3H

    4 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2024 Paper 3H, question 15: Make p the subject of the formula t = p 5 2

  3. Q1

    November 2023 · Paper 2H

    6 marksA4 Simplifying, expanding and factorisingA5 Formulae and changing the subject
    The whole paper ↗
    November 2023 Paper 2H, question 1: (a) Expand and simplify 3(2y − 5) + 7 (y + 2) (b) Factorise fully 6x2 + 15x (c) Make g the subject of the formula f = 3g + 11

  4. Q10

    November 2023 · Paper 3H

    3 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2023 Paper 3H, question 10: Make m the subject of k = p + 2 5

  5. Q17

    June 2023 · Paper 1H

    4 marksA5 Formulae and changing the subject
    The whole paper ↗
    June 2023 Paper 1H, question 17: Make x the subject of the formula y x 5 3

  6. Q1

    November 2022 · Paper 3H

    2 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2022 Paper 3H, question 1: Make a the subject of the formula p = 3a − 9

  7. Q2

    June 2022 · Paper 3H

    4 marksA5 Formulae and changing the subjectA2 Substitution
    The whole paper ↗
    June 2022 Paper 3H, question 2: T = 4m2 − 11 (a) Work out the value of T when m = − 3 T = (b) Make p the subject of the formula d = 3p + 4

  8. Q11

    November 2021 · Paper 1H

    4 marksA21 Forming and solving equationsA5 Formulae and changing the subject
    The whole paper ↗
    November 2021 Paper 1H, question 11: The diagram shows two rectangles, A and B. A 6 B 7w 2w + y 3y + 6 All measurements are in centimetres. The area of rectangle A is equal to the area of rectangle

  9. Q17

    November 2020 · Paper 1H

    4 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2020 Paper 1H, question 17: Make f the subject of the formula d = 3 1 ( − ) f − 4

  10. Q12

    November 2019 · Paper 1H

    1 markA5 Formulae and changing the subject
    The whole paper ↗
    November 2019 Paper 1H, question 12: T = q 2 + 5 Here is Spencer’s method to make q the subject of the formula. 2 T = q + 5 q = 2T – 5 What mistake did Spencer make in the first line of his method?

  11. Q10

    November 2019 · Paper 2H

    2 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2019 Paper 2H, question 10: Make k the subject of the formula y = 2

  12. Q15

    June 2019 · Paper 2H

    3 marksA5 Formulae and changing the subject
    The whole paper ↗
    June 2019 Paper 2H, question 15: Make m the subject of the formula f = m 1 −

  13. Q2

    November 2018 · Paper 1H

    4 marksA2 SubstitutionA5 Formulae and changing the subject
    The whole paper ↗
    November 2018 Paper 1H, question 2: Y࣠2 = X࣠2 + 2as u = 12 a = –3 s = 18 (a) Work out a value of v. (b) Make s the subject of Y࣠2 = X࣠2 + 2as

  14. Q14

    November 2017 · Paper 1H

    3 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2017 Paper 1H, question 14: The ratio ( y + x) : ( y – x) is equivalent to k : 1 Show that y = x k ( 1 ) + k 1 −

  15. Q14

    June 2017 · Paper 3H

    6 marksA4 Simplifying, expanding and factorisingA5 Formulae and changing the subject
    The whole paper ↗
    June 2017 Paper 3H, question 14: (a) Simplify 2 x x 2 − 5 − 12 15 ( t − 2 v ) (b) Make v the subject of the formula w = v
All 15 questions on Formulae and changing the subject, as a list
  1. June 2025, Paper 3H, Q2 (3 marks): Ben is trying to make m the subject of p = m 3 + 5 Here is his working. p – 5 = m 3 3 × p – 5 = m m = 3 p – 5 Ben’s answer is wrong. (a) What mistake has Ben ma
  2. November 2024, Paper 3H, Q15 (4 marks): Make p the subject of the formula t = p 5 2
  3. November 2023, Paper 2H, Q1 (6 marks): (a) Expand and simplify 3(2y − 5) + 7 (y + 2) (b) Factorise fully 6x2 + 15x (c) Make g the subject of the formula f = 3g + 11
  4. November 2023, Paper 3H, Q10 (3 marks): Make m the subject of k = p + 2 5
  5. June 2023, Paper 1H, Q17 (4 marks): Make x the subject of the formula y x 5 3
  6. November 2022, Paper 3H, Q1 (2 marks): Make a the subject of the formula p = 3a − 9
  7. June 2022, Paper 3H, Q2 (4 marks): T = 4m2 − 11 (a) Work out the value of T when m = − 3 T = (b) Make p the subject of the formula d = 3p + 4
  8. November 2021, Paper 1H, Q11 (4 marks): The diagram shows two rectangles, A and B. A 6 B 7w 2w + y 3y + 6 All measurements are in centimetres. The area of rectangle A is equal to the area of rectangle
  9. November 2020, Paper 1H, Q17 (4 marks): Make f the subject of the formula d = 3 1 ( − ) f − 4
  10. November 2019, Paper 1H, Q12 (1 mark): T = q 2 + 5 Here is Spencer’s method to make q the subject of the formula. 2 T = q + 5 q = 2T – 5 What mistake did Spencer make in the first line of his method?
  11. November 2019, Paper 2H, Q10 (2 marks): Make k the subject of the formula y = 2
  12. June 2019, Paper 2H, Q15 (3 marks): Make m the subject of the formula f = m 1 −
  13. November 2018, Paper 1H, Q2 (4 marks): Y࣠2 = X࣠2 + 2as u = 12 a = –3 s = 18 (a) Work out a value of v. (b) Make s the subject of Y࣠2 = X࣠2 + 2as
  14. November 2017, Paper 1H, Q14 (3 marks): The ratio ( y + x) : ( y – x) is equivalent to k : 1 Show that y = x k ( 1 ) + k 1 −
  15. June 2017, Paper 3H, Q14 (6 marks): (a) Simplify 2 x x 2 − 5 − 12 15 ( t − 2 v ) (b) Make v the subject of the formula w = v

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