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Proportion equations: Edexcel GCSE Maths questions

Every Edexcel GCSE Maths exam question on R13 Proportion equations, 2017–2025, with its mark scheme and examiner’s report.

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997 questions

  1. Q11

    June 2025 · Paper 1H

    The whole paper ↗
    June 2025 Paper 1H, question 11: T is inversely proportional to w. w is directly proportional to the cube root of d. When w = 6, T = 20 When w = 1, d = 8 Find the value of d when T = 48 d =
  2. Q12

    June 2024 · Paper 2H

    The whole paper ↗
    June 2024 Paper 2H, question 12: f is inversely proportional to d 2 f = 3.5 when d = 8 (a) Find an equation for f in terms of d. (b) Find the positive value of d when f = 10 Give your answer co
  3. Q14

    November 2023 · Paper 2H

    The whole paper ↗
    November 2023 Paper 2H, question 14: y is proportional to x2 y = 3 when x = 0.5 x is inversely proportional to w x = 2 when w = 0.2 Find the value of y when w = 2 y =
  4. Q13

    November 2022 · Paper 1H

    The whole paper ↗
    November 2022 Paper 1H, question 13: p is inversely proportional to t Complete the table of values. t 100 25 2 p 1 5
  5. Q17

    June 2022 · Paper 1H

    The whole paper ↗
    June 2022 Paper 1H, question 17: y is directly proportional to the square root of t. y = 15 when t = 9 t is inversely proportional to the cube of x. t = 8 when x = 2 Find a formula for y in ter
  6. Q17

    November 2021 · Paper 3H

    The whole paper ↗
    November 2021 Paper 3H, question 17: x is directly proportional to the square of y. y is directly proportional to the cube of z. z = 2 when x = 32 Find a formula for x in terms of z.
  7. Q18

    November 2020 · Paper 1H

    The whole paper ↗
    November 2020 Paper 1H, question 18: x is proportional to y where y > 0 y is increased by 44% Work out the percentage increase in x. %
  8. Q16

    November 2019 · Paper 3H

    The whole paper ↗
    November 2019 Paper 3H, question 16: y is inversely proportional to the square of x. y = 8 when x = 2.5 Find the negative value of x when y =
  9. Q20

    June 2019 · Paper 1H

    The whole paper ↗
    June 2019 Paper 1H, question 20: h is inversely proportional to p p is directly proportional to t Given that h = 10 and t = 144 when p = 6 find a formula for h in terms of t
  10. Q14

    November 2018 · Paper 3H

    The whole paper ↗
    November 2018 Paper 3H, question 14: y is inversely proportional to x3 y = 44 when x = a Show that y = 5.5 when x = 2a
  11. Q14

    June 2018 · Paper 1H

    The whole paper ↗
    June 2018 Paper 1H, question 14: y is inversely proportional to d 2 When d = 10, y = 4 d is directly proportional to x2 When x = 2, d = 24 Find a formula for y in terms of x. Give your answer i
  12. Q16

    November 2017 · Paper 1H

    The whole paper ↗
    November 2017 Paper 1H, question 16: y is directly proportional to x y = 1 1 6 when x = 8 Find the value of y when x = 64
  13. Q13

    June 2017 · Paper 1H

    The whole paper ↗
    June 2017 Paper 1H, question 13: The table shows a set of values for x and y. x 1 2 3 4 2 1 9 y 9 1 4 16 y is inversely proportional to the square of x. (a) Find an equation for y in terms of x
All 13 questions on Proportion equations, as a list
  1. June 2025, Paper 1H, Q11 (5 marks): T is inversely proportional to w. w is directly proportional to the cube root of d. When w = 6, T = 20 When w = 1, d = 8 Find the value of d when T = 48 d =
  2. June 2024, Paper 2H, Q12 (4 marks): f is inversely proportional to d 2 f = 3.5 when d = 8 (a) Find an equation for f in terms of d. (b) Find the positive value of d when f = 10 Give your answer co
  3. November 2023, Paper 2H, Q14 (5 marks): y is proportional to x2 y = 3 when x = 0.5 x is inversely proportional to w x = 2 when w = 0.2 Find the value of y when w = 2 y =
  4. November 2022, Paper 1H, Q13 (3 marks): p is inversely proportional to t Complete the table of values. t 100 25 2 p 1 5
  5. June 2022, Paper 1H, Q17 (4 marks): y is directly proportional to the square root of t. y = 15 when t = 9 t is inversely proportional to the cube of x. t = 8 when x = 2 Find a formula for y in ter
  6. November 2021, Paper 3H, Q17 (4 marks): x is directly proportional to the square of y. y is directly proportional to the cube of z. z = 2 when x = 32 Find a formula for x in terms of z.
  7. November 2020, Paper 1H, Q18 (3 marks): x is proportional to y where y > 0 y is increased by 44% Work out the percentage increase in x. %
  8. November 2019, Paper 3H, Q16 (3 marks): y is inversely proportional to the square of x. y = 8 when x = 2.5 Find the negative value of x when y =
  9. June 2019, Paper 1H, Q20 (4 marks): h is inversely proportional to p p is directly proportional to t Given that h = 10 and t = 144 when p = 6 find a formula for h in terms of t
  10. November 2018, Paper 3H, Q14 (3 marks): y is inversely proportional to x3 y = 44 when x = a Show that y = 5.5 when x = 2a
  11. June 2018, Paper 1H, Q14 (5 marks): y is inversely proportional to d 2 When d = 10, y = 4 d is directly proportional to x2 When x = 2, d = 24 Find a formula for y in terms of x. Give your answer i
  12. November 2017, Paper 1H, Q16 (3 marks): y is directly proportional to x y = 1 1 6 when x = 8 Find the value of y when x = 64
  13. June 2017, Paper 1H, Q13 (4 marks): The table shows a set of values for x and y. x 1 2 3 4 2 1 9 y 9 1 4 16 y is inversely proportional to the square of x. (a) Find an equation for y in terms of x

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