Skip to content

Gradients and areas under graphs: Edexcel GCSE Maths questions

Every Edexcel GCSE Maths exam question on A15 Gradients and areas under graphs, 2017–2025, with its mark scheme and examiner’s report.

Find questions997
Exam
All years
Calculator

997 questions

  1. June 2025 Paper 1H, question 12: The graph shows the velocity, v m/s, of a particle t seconds after it starts to move. 60 50 40 Velocity (v m/s) 30 20 10 0 0 1 2 3 4 5 6 Time (t seconds) (a) (i
  2. Q22

    November 2024 · Paper 3H

    The whole paper ↗
    November 2024 Paper 3H, question 22: Here is a velocity-time graph for an aeroplane. 100 80 60 Velocity (m/s) 40 20 0 0 5 10 15 20 25 30 35 Time (s) Work out an estimate for the distance the aeropl
  3. June 2024 Paper 2H, question 14: The graph shows the velocity of a car, in metres per second, t seconds after it starts to slow down. 30 25 20 Velocity (m/s) 15 10 5 t 0 2 4 6 8 10 Time (t seco
  4. June 2023 Paper 3H, question 17: Here is a distance-time graph. 100 90 80 70 60 Distance 50 (metres) 40 30 20 10 0 0 1 2 3 4 Time (seconds) (a) Find an estimate of the gradient of the graph at
  5. November 2022 Paper 2H, question 21: The graph below gives the volume, in litres, of water in a container t seconds after the water starts to fill the container. 25 20 15 Volume (litres) 10 5 00 5
  6. June 2022 Paper 1H, question 14: Here is a speed-time graph. 6 5 4 Speed (m/s) 3 2 1 0 0 2 4 6 8 10 Time (t seconds) (a) Work out an estimate of the gradient of the graph at t = 2 (b) What does
  7. November 2021 Paper 3H, question 15: The graph gives the volume of water, in litres, in a container at time t seconds after the water started to flow out of the container. 50 40 30 Volume (litres)
  8. Q21

    November 2021 · Paper 3H

    The whole paper ↗
    November 2021 Paper 3H, question 21: Here is a speed-time graph showing the speed, in metres per second, of an object t seconds after it started to move from rest. 8 6 Speed (m/s) 4 2 0 0 1 2 3 4 5
  9. Q16

    November 2020 · Paper 3H

    The whole paper ↗
    November 2020 Paper 3H, question 16: Here is a speed-time graph for a car. 16 14 12 10 Speed (m/s) 8 6 4 2 0 0 30 60 90 120 150 Time (s) (a) Work out an estimate for the distance the car travelled
  10. Q21

    November 2019 · Paper 2H

    The whole paper ↗
    November 2019 Paper 2H, question 21: Here is a speed-time graph for a train journey between two stations. The journey took 100 seconds. 15 10 Speed (m/s) 5 0 0 20 40 60 80 100 Time (s) (a) Calculat
  11. November 2019 Paper 3H, question 19: The graph shows information about part of a cyclist’s journey. 20 – 15 – Distance travelled (metres) 10 – 5 – 0 – 0 2 4 6 8 Time (seconds) Work out an estimate
  12. June 2019 Paper 2H, question 14: A car moves from rest. The graph gives information about the speed, v metres per second, of the car t seconds after it starts to move. v 25 20 15 Speed (m/s) 10
  13. June 2018 Paper 2H, question 14: The distance-time graph shows information about part of a car journey. 160 140 120 100 Distance travelled 80 (metres) 60 40 20 0 0 1 2 3 4 5 6 7 8 Time (seconds
  14. Q15

    June 2018 · Paper 3H

    The whole paper ↗
    June 2018 Paper 3H, question 15: The graph shows the speed of a car, in metres per second, during the first 20 seconds of a journey. 40 30 Speed 20 (m/s) 10 0 0 5 10 15 20 Time (s) (a) Work out
  15. Q10

    November 2017 · Paper 2H

    The whole paper ↗
    November 2017 Paper 2H, question 10: is 3 marks)
  16. Q18

    November 2017 · Paper 3H

    The whole paper ↗
    November 2017 Paper 3H, question 18: Here is a speed-time graph for a train. 25 20 15 Speed (m/s) 10 5 00 5 10 15 20 25 Time (s) (a) Work out an estimate for the distance the train travelled in the
All 16 questions on Gradients and areas under graphs, as a list
  1. June 2025, Paper 1H, Q12 (7 marks): The graph shows the velocity, v m/s, of a particle t seconds after it starts to move. 60 50 40 Velocity (v m/s) 30 20 10 0 0 1 2 3 4 5 6 Time (t seconds) (a) (i
  2. November 2024, Paper 3H, Q22 (3 marks): Here is a velocity-time graph for an aeroplane. 100 80 60 Velocity (m/s) 40 20 0 0 5 10 15 20 25 30 35 Time (s) Work out an estimate for the distance the aeropl
  3. June 2024, Paper 2H, Q14 (6 marks): The graph shows the velocity of a car, in metres per second, t seconds after it starts to slow down. 30 25 20 Velocity (m/s) 15 10 5 t 0 2 4 6 8 10 Time (t seco
  4. June 2023, Paper 3H, Q17 (4 marks): Here is a distance-time graph. 100 90 80 70 60 Distance 50 (metres) 40 30 20 10 0 0 1 2 3 4 Time (seconds) (a) Find an estimate of the gradient of the graph at
  5. November 2022, Paper 2H, Q21 (4 marks): The graph below gives the volume, in litres, of water in a container t seconds after the water starts to fill the container. 25 20 15 Volume (litres) 10 5 00 5
  6. June 2022, Paper 1H, Q14 (4 marks): Here is a speed-time graph. 6 5 4 Speed (m/s) 3 2 1 0 0 2 4 6 8 10 Time (t seconds) (a) Work out an estimate of the gradient of the graph at t = 2 (b) What does
  7. November 2021, Paper 3H, Q15 (3 marks): The graph gives the volume of water, in litres, in a container at time t seconds after the water started to flow out of the container. 50 40 30 Volume (litres)
  8. November 2021, Paper 3H, Q21 (4 marks): Here is a speed-time graph showing the speed, in metres per second, of an object t seconds after it started to move from rest. 8 6 Speed (m/s) 4 2 0 0 1 2 3 4 5
  9. November 2020, Paper 3H, Q16 (4 marks): Here is a speed-time graph for a car. 16 14 12 10 Speed (m/s) 8 6 4 2 0 0 30 60 90 120 150 Time (s) (a) Work out an estimate for the distance the car travelled
  10. November 2019, Paper 2H, Q21 (5 marks): Here is a speed-time graph for a train journey between two stations. The journey took 100 seconds. 15 10 Speed (m/s) 5 0 0 20 40 60 80 100 Time (s) (a) Calculat
  11. November 2019, Paper 3H, Q19 (3 marks): The graph shows information about part of a cyclist’s journey. 20 – 15 – Distance travelled (metres) 10 – 5 – 0 – 0 2 4 6 8 Time (seconds) Work out an estimate
  12. June 2019, Paper 2H, Q14 (7 marks): A car moves from rest. The graph gives information about the speed, v metres per second, of the car t seconds after it starts to move. v 25 20 15 Speed (m/s) 10
  13. June 2018, Paper 2H, Q14 (3 marks): The distance-time graph shows information about part of a car journey. 160 140 120 100 Distance travelled 80 (metres) 60 40 20 0 0 1 2 3 4 5 6 7 8 Time (seconds
  14. June 2018, Paper 3H, Q15 (4 marks): The graph shows the speed of a car, in metres per second, during the first 20 seconds of a journey. 40 30 Speed 20 (m/s) 10 0 0 5 10 15 20 Time (s) (a) Work out
  15. November 2017, Paper 2H, Q10 (3 marks): is 3 marks)
  16. November 2017, Paper 3H, Q18 (4 marks): Here is a speed-time graph for a train. 25 20 15 Speed (m/s) 10 5 00 5 10 15 20 25 Time (s) (a) Work out an estimate for the distance the train travelled in the

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

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