Skip to content
Try on iPad

Instantaneous and average rates of change: OCR GCSE Maths questions

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

Find questions921
Exam
All years
Calculator

921 questions

  1. Q21

    June 2025 · Paper 4

    6 marksR15 Instantaneous and average rates of changeA14 Graphs in real contexts
    The whole paper ↗
    June 2025 Paper 4, question 21: The graph of a function is drawn on the grid for 0 x 4 . G G y 18 16 14 12 10 8 6 4 2 x 0 0 1 2 3 4 (a) Work out the average rate of change of the function betw

  2. Q19

    November 2024 · Paper 6

    6 marksR15 Instantaneous and average rates of changeA15 Gradients and areas under graphs
    The whole paper ↗
    November 2024 Paper 6, question 19: This graph shows the depth of the water, in centimetres, at a particular point in a river over a period of 10 hours. 40 30 Depth of the water 20 (cm) 10 9.00 10

  3. Q16

    November 2022 · Paper 5

    4 marksA15 Gradients and areas under graphsR15 Instantaneous and average rates of change
    The whole paper ↗
    November 2022 Paper 5, question 16: The graph shows the distance travelled by a particle over the first 20 seconds of its motion. 40 35 30 25 Distance 20 (metres) 15 10 5 0 0 5 10 15 20 Time (seco

  4. Q19

    November 2020 · Paper 4

    9 marksA15 Gradients and areas under graphsR15 Instantaneous and average rates of change
    The whole paper ↗
    November 2020 Paper 4, question 19: (a) The graph shows the speed of a vehicle during the first 40 seconds of motion. 40 35 30 25 Speed 20 (m / s) 15 10 5 0 0 5 10 15 20 25 30 35 40 Time (s) Calcu

  5. Q19

    November 2019 · Paper 4

    4 marksA15 Gradients and areas under graphsR15 Instantaneous and average rates of change
    The whole paper ↗
    November 2019 Paper 4, question 19: The graph shows the distance travelled by a particle over 8 seconds. 12 11 10 9 8 7 Distance (metres) 6 5 4 3 2 1 0 0 1 2 3 4 5 6 7 8 Time (seconds) Estimate th

  6. Q10

    November 2017 · Paper 6

    3 marksR15 Instantaneous and average rates of changeA14 Graphs in real contexts
    The whole paper ↗
    November 2017 Paper 6, question 10: This graph shows the world population, in billions, between 1951 and 2015. 8 7 6 World population 5 (billions) 4 3 2 1950 1960 1970 1980 1990 2000 2010 Year Use
All 6 questions on Instantaneous and average rates of change, as a list
  1. June 2025, Paper 4, Q21 (6 marks): The graph of a function is drawn on the grid for 0 x 4 . G G y 18 16 14 12 10 8 6 4 2 x 0 0 1 2 3 4 (a) Work out the average rate of change of the function betw
  2. November 2024, Paper 6, Q19 (6 marks): This graph shows the depth of the water, in centimetres, at a particular point in a river over a period of 10 hours. 40 30 Depth of the water 20 (cm) 10 9.00 10
  3. November 2022, Paper 5, Q16 (4 marks): The graph shows the distance travelled by a particle over the first 20 seconds of its motion. 40 35 30 25 Distance 20 (metres) 15 10 5 0 0 5 10 15 20 Time (seco
  4. November 2020, Paper 4, Q19 (9 marks): (a) The graph shows the speed of a vehicle during the first 40 seconds of motion. 40 35 30 25 Speed 20 (m / s) 15 10 5 0 0 5 10 15 20 25 30 35 40 Time (s) Calcu
  5. November 2019, Paper 4, Q19 (4 marks): The graph shows the distance travelled by a particle over 8 seconds. 12 11 10 9 8 7 Distance (metres) 6 5 4 3 2 1 0 0 1 2 3 4 5 6 7 8 Time (seconds) Estimate th
  6. November 2017, Paper 6, Q10 (3 marks): This graph shows the world population, in billions, between 1951 and 2015. 8 7 6 World population 5 (billions) 4 3 2 1950 1960 1970 1980 1990 2000 2010 Year Use

Questions, mark schemes and examiner’s reports are © OCR, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Every OCR GCSE Maths paper.

Rather write your answers by hand on iPad? Plumi marks them against the same mark schemes.