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Substitution: AQA GCSE Maths questions

Every AQA GCSE Maths exam question on A2 Substitution, 2017–2025, with its mark scheme and examiner’s report.

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1,304 questions

  1. Q14

    June 2024 · Paper 2H

    4 marksA2 SubstitutionA12 Recognising and sketching graphs
    The whole paper ↗
    June 2024 Paper 2H, question 14: A graph passes through the points (3, 15) and (7, w) 14 (a) Assume that the equation of the graph has the form y = x2 + c Work out the value of w that this woul

  2. Q27

    November 2023 · Paper 2H

    4 marksA2 SubstitutionA12 Recognising and sketching graphs
    The whole paper ↗
    November 2023 Paper 2H, question 27: g(x) = a × bx where a and b are constants. g = 8 and g = 343 Work out the value of g Answer

  3. Q22

    June 2023 · Paper 1H

    3 marksA2 Substitution
    The whole paper ↗
    June 2023 Paper 1H, question 22: a = 2 and b = 18 Match each expression to its value. One has been done for you.

  4. Q7

    June 2023 · Paper 2H

    5 marksA2 SubstitutionP7 Sample spaces
    The whole paper ↗
    June 2023 Paper 2H, question 7: In a game, • an ordinary fair six-sided dice is rolled • the fair spinner shown is spun. The score is the dice number substituted into the spinner expression. 7

  5. Q23

    June 2022 · Paper 3H

    3 marksA19 Simultaneous equationsA2 Substitution
    The whole paper ↗
    June 2022 Paper 3H, question 23: Here are two simultaneous equations. y = x2 + 7x – c and y = 3x + d There is a solution when x = 5 Work out the value of c + d Answer

  6. Q1

    June 2019 · Paper 2H

    1 markA2 Substitution
    The whole paper ↗
    June 2019 Paper 2H, question 1: Circle the point that lies on the curve y = x2 – 4x + 1 (–1, 4) (–1, –4) (–1, –2) (–1, 6)

  7. Q20

    June 2018 · Paper 2H

    3 marksA2 Substitution
    The whole paper ↗
    June 2018 Paper 2H, question 20: Here is an inflated swimming ring with dimensions in centimetres. The volume of the ring, V cm3, is given by Work out the volume when a = 20 and b = 30 Give you

  8. Q16

    November 2017 · Paper 3H

    1 markA2 Substitution
    The whole paper ↗
    November 2017 Paper 3H, question 16: f(x) = x2 – x3 Circle the value of f(–3) 18 –18 36 –36

  9. Q28

    November 2017 · Paper 3H

    5 marksA12 Recognising and sketching graphsA2 Substitution
    The whole paper ↗
    November 2017 Paper 3H, question 28: y = p × q x – 1 where p and q are numbers. y = 10 when x = 1 y = 0.3125 when x = 6 Work out the value of y when x = 3 Answer

  10. Q6

    Specimen · Paper 1H

    2 marksA2 Substitution
    The whole paper ↗
    Specimen Paper 1H, question 6: Kelly is trying to work out the two values of w for which 3w  w3 = 2 Her values are 1 and 1 Are her values correct? You must show your working.

  11. Q24

    Specimen · Paper 2H

    6 marksG20 Pythagoras and trigonometryA2 Substitution
    The whole paper ↗
    Specimen Paper 2H, question 24: A Big Wheel is modelled as a circle with centre O and radius 15 metres. The wheel turns in an anticlockwise direction. The lowest point on the wheel is always 2
All 11 questions on Substitution, as a list
  1. June 2024, Paper 2H, Q14 (4 marks): A graph passes through the points (3, 15) and (7, w) 14 (a) Assume that the equation of the graph has the form y = x2 + c Work out the value of w that this woul
  2. November 2023, Paper 2H, Q27 (4 marks): g(x) = a × bx where a and b are constants. g = 8 and g = 343 Work out the value of g Answer
  3. June 2023, Paper 1H, Q22 (3 marks): a = 2 and b = 18 Match each expression to its value. One has been done for you.
  4. June 2023, Paper 2H, Q7 (5 marks): In a game, • an ordinary fair six-sided dice is rolled • the fair spinner shown is spun. The score is the dice number substituted into the spinner expression. 7
  5. June 2022, Paper 3H, Q23 (3 marks): Here are two simultaneous equations. y = x2 + 7x – c and y = 3x + d There is a solution when x = 5 Work out the value of c + d Answer
  6. June 2019, Paper 2H, Q1 (1 mark): Circle the point that lies on the curve y = x2 – 4x + 1 (–1, 4) (–1, –4) (–1, –2) (–1, 6)
  7. June 2018, Paper 2H, Q20 (3 marks): Here is an inflated swimming ring with dimensions in centimetres. The volume of the ring, V cm3, is given by Work out the volume when a = 20 and b = 30 Give you
  8. November 2017, Paper 3H, Q16 (1 mark): f(x) = x2 – x3 Circle the value of f(–3) 18 –18 36 –36
  9. November 2017, Paper 3H, Q28 (5 marks): y = p × q x – 1 where p and q are numbers. y = 10 when x = 1 y = 0.3125 when x = 6 Work out the value of y when x = 3 Answer
  10. Specimen, Paper 1H, Q6 (2 marks): Kelly is trying to work out the two values of w for which 3w  w3 = 2 Her values are 1 and 1 Are her values correct? You must show your working.
  11. Specimen, Paper 2H, Q24 (6 marks): A Big Wheel is modelled as a circle with centre O and radius 15 metres. The wheel turns in an anticlockwise direction. The lowest point on the wheel is always 2

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