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Formulae and changing the subject: AQA GCSE Maths questions

Every AQA 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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1,304 questions

  1. Q16

    November 2024 · Paper 3H

    3 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2024 Paper 3H, question 16: Rearrange y = x   +     1 2 to make x the subject. Answer

  2. Q17

    June 2024 · Paper 1H

    4 marksA5 Formulae and changing the subject
    The whole paper ↗
    June 2024 Paper 1H, question 17: Rearrange y = + x x 3 7 to make x the subject. Answer

  3. Q20

    November 2023 · Paper 2H

    4 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2023 Paper 2H, question 20: Rearrange p = m m − + 1 1 2 to make m the subject. Answer

  4. Q18

    June 2023 · Paper 2H

    3 marksA5 Formulae and changing the subject
    The whole paper ↗
    June 2023 Paper 2H, question 18: Rearrange y = x x 8 + to make x the subject. Answer

  5. Q4

    November 2022 · Paper 2H

    1 markA5 Formulae and changing the subject
    The whole paper ↗
    November 2022 Paper 2H, question 4: a × b4 = c Circle the correct expression for a. 4 c b 4 c b− 4 c b       4 c b

  6. Q18

    November 2022 · Paper 3H

    4 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2022 Paper 3H, question 18: Rearrange 9m + 4(2m – 1) = p2 + pm to make m the subject. Answer

  7. Q20

    June 2022 · Paper 1H

    4 marksA5 Formulae and changing the subject
    The whole paper ↗
    June 2022 Paper 1H, question 20: Rearrange y = x x 9 5 + to make x the subject. Answer

  8. Q23

    November 2021 · Paper 1H

    3 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2021 Paper 1H, question 23: Rearrange y = 1 1 + x to make x the subject. Answer

  9. Q26

    November 2021 · Paper 1H

    3 marksR4 Ratio notationA5 Formulae and changing the subject
    The whole paper ↗
    November 2021 Paper 1H, question 26: d = 2f – – e f d e = 1 4 Work out the ratio e : f Answer :

  10. Q20

    November 2021 · Paper 3H

    3 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2021 Paper 3H, question 20: b a = 3c c b = 2 Work out the value of a when c = 8 Answer

  11. Q15

    November 2020 · Paper 2H

    3 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2020 Paper 2H, question 15: Rearrange a = b c + 5 to make c the subject. Answer

  12. Q15

    November 2019 · Paper 2H

    1 markA5 Formulae and changing the subject
    The whole paper ↗
    November 2019 Paper 2H, question 15: Rearrange y = 3 w to make w the subject. Circle your answer. w = y6 w = 2 3 y w = 3 y w = y5

  13. Q8

    June 2019 · Paper 3H

    1 markA5 Formulae and changing the subject
    The whole paper ↗
    June 2019 Paper 3H, question 8: Rearrange y = 3x – 2 to make x the subject. Circle your answer. x = 3 y – 2 x = 3 2 + y x = 3 2 − y x = 3 y + 2

  14. Q9

    November 2017 · Paper 3H

    4 marksA5 Formulae and changing the subjectR1 Converting units
    The whole paper ↗
    November 2017 Paper 3H, question 9: (a) Rearrange v = u + at to make t the subject of the formula. Answer 9 (b) Complete this table with consistent metric units. Distance Time Speed Acceleration m

  15. Q3

    June 2017 · Paper 3H

    1 markA5 Formulae and changing the subject
    The whole paper ↗
    June 2017 Paper 3H, question 3: Rearrange 2x = w y to make w the subject. Circle your answer. w = x y 2 w = y x 2 w = x y 2 w = y x 2
All 15 questions on Formulae and changing the subject, as a list
  1. November 2024, Paper 3H, Q16 (3 marks): Rearrange y = x   +     1 2 to make x the subject. Answer
  2. June 2024, Paper 1H, Q17 (4 marks): Rearrange y = + x x 3 7 to make x the subject. Answer
  3. November 2023, Paper 2H, Q20 (4 marks): Rearrange p = m m − + 1 1 2 to make m the subject. Answer
  4. June 2023, Paper 2H, Q18 (3 marks): Rearrange y = x x 8 + to make x the subject. Answer
  5. November 2022, Paper 2H, Q4 (1 mark): a × b4 = c Circle the correct expression for a. 4 c b 4 c b− 4 c b       4 c b
  6. November 2022, Paper 3H, Q18 (4 marks): Rearrange 9m + 4(2m – 1) = p2 + pm to make m the subject. Answer
  7. June 2022, Paper 1H, Q20 (4 marks): Rearrange y = x x 9 5 + to make x the subject. Answer
  8. November 2021, Paper 1H, Q23 (3 marks): Rearrange y = 1 1 + x to make x the subject. Answer
  9. November 2021, Paper 1H, Q26 (3 marks): d = 2f – – e f d e = 1 4 Work out the ratio e : f Answer :
  10. November 2021, Paper 3H, Q20 (3 marks): b a = 3c c b = 2 Work out the value of a when c = 8 Answer
  11. November 2020, Paper 2H, Q15 (3 marks): Rearrange a = b c + 5 to make c the subject. Answer
  12. November 2019, Paper 2H, Q15 (1 mark): Rearrange y = 3 w to make w the subject. Circle your answer. w = y6 w = 2 3 y w = 3 y w = y5
  13. June 2019, Paper 3H, Q8 (1 mark): Rearrange y = 3x – 2 to make x the subject. Circle your answer. x = 3 y – 2 x = 3 2 + y x = 3 2 − y x = 3 y + 2
  14. November 2017, Paper 3H, Q9 (4 marks): (a) Rearrange v = u + at to make t the subject of the formula. Answer 9 (b) Complete this table with consistent metric units. Distance Time Speed Acceleration m
  15. June 2017, Paper 3H, Q3 (1 mark): Rearrange 2x = w y to make w the subject. Circle your answer. w = x y 2 w = y x 2 w = x y 2 w = y x 2

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