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Formulae and changing the subject: OCR GCSE Maths questions

Every OCR 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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921 questions

  1. Q16

    June 2025 · Paper 5

    4 marksA5 Formulae and changing the subject
    The whole paper ↗
    June 2025 Paper 5, question 16: Rearrange this formula to make a the subject. a 2 b + p = 3 a -

  2. Q10

    June 2025 · Paper 6

    5 marksG17 Circles, surface area and volumeA5 Formulae and changing the subject
    The whole paper ↗
    June 2025 Paper 6, question 10: The diagram shows a sphere with radius 3 cm and a cube with side length x cm. x cm 3 cm x cm x cm The surface area of the sphere is equal to the surface area of

  3. Q12

    June 2025 · Paper 6

    4 marksA2 SubstitutionA5 Formulae and changing the subject
    The whole paper ↗
    June 2025 Paper 6, question 12: You may use these kinematics formulae to answer this question. v u at = + 1 2 s ut at = + 2 where a is the constant acceleration, u is the initial velocity, v i

  4. Q5

    November 2024 · Paper 6

    2 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2024 Paper 6, question 5: Rearrange this formula to make f the subject. k e = f

  5. Q2

    June 2023 · Paper 6

    5 marksA5 Formulae and changing the subjectA2 Substitution
    The whole paper ↗
    June 2023 Paper 6, question 2: (a) Rearrange this formula to make u the subject. 2 2 v u 2 as = + (a) (b) A rocket accelerates at 90 m / s2 and travels 270 km. The rocket’s final velocity is

  6. Q9

    November 2022 · Paper 4

    4 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2022 Paper 4, question 9: Here are two pieces of work. For each one, describe the error in the method and give the correct answer. (a) Question: Rearrange y = 3x + 17 to make x the subje

  7. Q2

    June 2022 · Paper 6

    4 marksG17 Circles, surface area and volumeA5 Formulae and changing the subject
    The whole paper ↗
    June 2022 Paper 6, question 2: The circumference of a circle is 23 cm. Show that the area of the circle is 42.1 cm2, correct to 3 significant figures.

  8. Q20

    November 2021 · Paper 5

    4 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2021 Paper 5, question 20: x 2 5 and y 4 7 . y z = + = Write z in terms of x. Give your answer in its simplest form.

  9. Q18

    November 2021 · Paper 6

    5 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2021 Paper 6, question 18: Rearrange this formula to make y the subject. 5 y 2 3 t 7 + - = y 2

  10. Q14

    November 2020 · Paper 6

    5 marksG17 Circles, surface area and volumeA5 Formulae and changing the subject
    The whole paper ↗
    November 2020 Paper 6, question 14: The base of a cone is fixed to the top of a cylinder to make a decoration. 5r 6r r The radius of the base of the cone and of the cylinder is r cm. The cone’s he

  11. Q8

    November 2019 · Paper 6

    4 marksG17 Circles, surface area and volumeA5 Formulae and changing the subject
    The whole paper ↗
    November 2019 Paper 6, question 8: An octahedron is formed from two identical square based pyramids. The square bases are stuck together as shown. h cm 3. The volume of the octahedron is 60 cm Th

  12. Q9

    November 2018 · Paper 5

    2 marksA5 Formulae and changing the subject
    The whole paper ↗
    November 2018 Paper 5, question 9: Rearrange this formula to make y the subject. 2 x y 7 = +

  13. Q1

    November 2017 · Paper 6

    4 marksA2 SubstitutionA5 Formulae and changing the subject
    The whole paper ↗
    November 2017 Paper 6, question 1: 2 1 Use the formula s ut at . = + 2 (a) Calculate s when u = 5, t = 10 and a = 3. (a) s = (b) Make a the subject of the formula. (b) a =

  14. Q5

    June 2017 · Paper 5

    5 marksA5 Formulae and changing the subjectA4 Simplifying, expanding and factorising
    The whole paper ↗
    June 2017 Paper 5, question 5: (a) Rearrange the equation to make x the subject. y 7 x 3 = - (a) x = (b) Factorise. 2 - (i) x xy (b)(i) 2 + (ii) x 8 x 12 + (ii)
All 14 questions on Formulae and changing the subject, as a list
  1. June 2025, Paper 5, Q16 (4 marks): Rearrange this formula to make a the subject. a 2 b + p = 3 a -
  2. June 2025, Paper 6, Q10 (5 marks): The diagram shows a sphere with radius 3 cm and a cube with side length x cm. x cm 3 cm x cm x cm The surface area of the sphere is equal to the surface area of
  3. June 2025, Paper 6, Q12 (4 marks): You may use these kinematics formulae to answer this question. v u at = + 1 2 s ut at = + 2 where a is the constant acceleration, u is the initial velocity, v i
  4. November 2024, Paper 6, Q5 (2 marks): Rearrange this formula to make f the subject. k e = f
  5. June 2023, Paper 6, Q2 (5 marks): (a) Rearrange this formula to make u the subject. 2 2 v u 2 as = + (a) (b) A rocket accelerates at 90 m / s2 and travels 270 km. The rocket’s final velocity is
  6. November 2022, Paper 4, Q9 (4 marks): Here are two pieces of work. For each one, describe the error in the method and give the correct answer. (a) Question: Rearrange y = 3x + 17 to make x the subje
  7. June 2022, Paper 6, Q2 (4 marks): The circumference of a circle is 23 cm. Show that the area of the circle is 42.1 cm2, correct to 3 significant figures.
  8. November 2021, Paper 5, Q20 (4 marks): x 2 5 and y 4 7 . y z = + = Write z in terms of x. Give your answer in its simplest form.
  9. November 2021, Paper 6, Q18 (5 marks): Rearrange this formula to make y the subject. 5 y 2 3 t 7 + - = y 2
  10. November 2020, Paper 6, Q14 (5 marks): The base of a cone is fixed to the top of a cylinder to make a decoration. 5r 6r r The radius of the base of the cone and of the cylinder is r cm. The cone’s he
  11. November 2019, Paper 6, Q8 (4 marks): An octahedron is formed from two identical square based pyramids. The square bases are stuck together as shown. h cm 3. The volume of the octahedron is 60 cm Th
  12. November 2018, Paper 5, Q9 (2 marks): Rearrange this formula to make y the subject. 2 x y 7 = +
  13. November 2017, Paper 6, Q1 (4 marks): 2 1 Use the formula s ut at . = + 2 (a) Calculate s when u = 5, t = 10 and a = 3. (a) s = (b) Make a the subject of the formula. (b) a =
  14. June 2017, Paper 5, Q5 (5 marks): (a) Rearrange the equation to make x the subject. y 7 x 3 = - (a) x = (b) Factorise. 2 - (i) x xy (b)(i) 2 + (ii) x 8 x 12 + (ii)

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