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Instantaneous and average rates of change: AQA GCSE Maths questions

Every AQA GCSE Maths exam question on R15 Instantaneous and average rates of change, 2017–2025, with its mark scheme and examiner’s report.

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1,304 questions

  1. Q21

    November 2024 · Paper 2H

    6 marksR15 Instantaneous and average rates of changeA15 Gradients and areas under graphs
    The whole paper ↗
    November 2024 Paper 2H, question 21: The graph represents the velocity of a ball as it rolls along the ground. 21 (a) Work out an estimate for the acceleration of the ball, in m/s2, after 2 seconds

  2. Q21

    November 2023 · Paper 3H

    3 marksR15 Instantaneous and average rates of changeA14 Graphs in real contexts
    The whole paper ↗
    November 2023 Paper 3H, question 21: Water flows from a tap at a constant rate. A container is filled with water from the tap in 40 seconds. The graph shows the height, h centimetres, of the water

  3. Q19

    November 2021 · Paper 2H

    4 marksR15 Instantaneous and average rates of change
    The whole paper ↗
    November 2021 Paper 2H, question 19: The graph shows the height above ground of a toy rocket for 10 seconds. 19 (a) For how long is the rocket in the air? Circle your answer. 10 seconds 9 seconds 6

  4. Q24

    November 2020 · Paper 3H

    3 marksR15 Instantaneous and average rates of change
    The whole paper ↗
    November 2020 Paper 3H, question 24: A and B are points on a curve. A is (2, 7) B is (12, 0) 24 (a) Work out the instantaneous rate of change of y with respect to x at point A. Answer 24 (b) The av

  5. Q22

    November 2019 · Paper 2H

    1 markR15 Instantaneous and average rates of change
    The whole paper ↗
    November 2019 Paper 2H, question 22: Here is a sketch of a distance-time graph. Which of these represents the average speed between A and B? Tick one box. The gradient of the tangent at A The gradi

  6. Q25

    November 2017 · Paper 3H

    3 marksR15 Instantaneous and average rates of change
    The whole paper ↗
    November 2017 Paper 3H, question 25: Liquid is leaking out of a container. The graph shows the depth of the liquid for 60 seconds. Use the graph to work out an estimate of the rate of decrease of d

  7. Q24

    June 2017 · Paper 3H

    2 marksR15 Instantaneous and average rates of change
    The whole paper ↗
    June 2017 Paper 3H, question 24: A ball is thrown from a point 6 metres above the ground. The graph shows the height of the ball above the ground, in metres. Estimate the speed of the ball, in

  8. Q23

    Specimen · Paper 3H

    3 marksR15 Instantaneous and average rates of changeA14 Graphs in real contexts
    The whole paper ↗
    Specimen Paper 3H, question 23: A container is filled with water in 5 seconds. The graph shows the depth of water, d cm, at time t seconds. d 0 1 2 3 4 5 0 5 10 15 20 25 t 23 (a) The water flo
All 8 questions on Instantaneous and average rates of change, as a list
  1. November 2024, Paper 2H, Q21 (6 marks): The graph represents the velocity of a ball as it rolls along the ground. 21 (a) Work out an estimate for the acceleration of the ball, in m/s2, after 2 seconds
  2. November 2023, Paper 3H, Q21 (3 marks): Water flows from a tap at a constant rate. A container is filled with water from the tap in 40 seconds. The graph shows the height, h centimetres, of the water
  3. November 2021, Paper 2H, Q19 (4 marks): The graph shows the height above ground of a toy rocket for 10 seconds. 19 (a) For how long is the rocket in the air? Circle your answer. 10 seconds 9 seconds 6
  4. November 2020, Paper 3H, Q24 (3 marks): A and B are points on a curve. A is (2, 7) B is (12, 0) 24 (a) Work out the instantaneous rate of change of y with respect to x at point A. Answer 24 (b) The av
  5. November 2019, Paper 2H, Q22 (1 mark): Here is a sketch of a distance-time graph. Which of these represents the average speed between A and B? Tick one box. The gradient of the tangent at A The gradi
  6. November 2017, Paper 3H, Q25 (3 marks): Liquid is leaking out of a container. The graph shows the depth of the liquid for 60 seconds. Use the graph to work out an estimate of the rate of decrease of d
  7. June 2017, Paper 3H, Q24 (2 marks): A ball is thrown from a point 6 metres above the ground. The graph shows the height of the ball above the ground, in metres. Estimate the speed of the ball, in
  8. Specimen, Paper 3H, Q23 (3 marks): A container is filled with water in 5 seconds. The graph shows the depth of water, d cm, at time t seconds. d 0 1 2 3 4 5 0 5 10 15 20 25 t 23 (a) The water flo

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