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Graphs in real contexts: AQA GCSE Maths questions

Every AQA GCSE Maths exam question on A14 Graphs in real contexts, 2017–2025, with its mark scheme and examiner’s report.

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1,304 questions

  1. Q23

    June 2025 · Paper 3H

    2 marksA11 Quadratic graphs and turning pointsA14 Graphs in real contexts
    The whole paper ↗
    June 2025 Paper 3H, question 23: A roller coaster starts at ground level. The height above ground level, h, in metres, of the roller coaster is given by h = – (t – 7)2 + 49 where t is the time

  2. Q24

    June 2024 · Paper 2H

    4 marksR13 Proportion equationsA14 Graphs in real contexts
    The whole paper ↗
    June 2024 Paper 2H, question 24: A room is kept at a constant temperature of 21° C for 6 hours. The heating is then turned off and the room begins to cool. Here is a sketch graph showing the te

  3. 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

  4. Q11

    November 2022 · Paper 2H

    4 marksA14 Graphs in real contextsR14 Gradient as a rate of change
    The whole paper ↗
    November 2022 Paper 2H, question 11: A tank contains 40 litres of water. 11 (a) Water leaks out of the tank at a rate of 1.2 litres per minute. The leak is stopped after 20 minutes. Show that, when

  5. Q15

    November 2022 · Paper 3H

    5 marksA14 Graphs in real contexts
    The whole paper ↗
    November 2022 Paper 3H, question 15: A mobile phone takes 2 hours to charge from empty. When the phone is being charged, the current flow into the phone • starts at full current flow (100%) • conti

  6. Q8

    June 2022 · Paper 1H

    3 marksA14 Graphs in real contextsR14 Gradient as a rate of change
    The whole paper ↗
    June 2022 Paper 1H, question 8: In a week, Samir is paid a basic hourly rate for the first 30 hours worked an overtime hourly rate for any extra hours worked. The graph shows his pay for worki

  7. Q25

    June 2022 · Paper 1H

    3 marksA15 Gradients and areas under graphsA14 Graphs in real contexts
    The whole paper ↗
    June 2022 Paper 1H, question 25: Here is the speed-time graph for a 50-second journey. 25 (a) Circle the acceleration, in m/s2, halfway through the journey. 0 2 20 25 25 (b) Work out the total

  8. Q8

    November 2020 · Paper 3H

    3 marksA14 Graphs in real contextsR11 Compound units: speed, density and pressure
    The whole paper ↗
    November 2020 Paper 3H, question 8: Chris visits a library. He cycles to the library in half an hour at a speed of 12 miles per hour. He stays at the library for one hour. He then cycles home. The

  9. Q12

    November 2019 · Paper 3H

    3 marksA14 Graphs in real contextsR14 Gradient as a rate of change
    The whole paper ↗
    November 2019 Paper 3H, question 12: The graph shows how much Molly is paid for working for up to 40 hours. She receives a basic rate of pay for the first 35 hours worked a higher rate of pay for t

  10. Q10

    June 2019 · Paper 1H

    4 marksA14 Graphs in real contextsR10 Direct and inverse proportion
    The whole paper ↗
    June 2019 Paper 1H, question 10: The number of items, n, made in 1 hour by a machine is given by n = t 60 t is the time in minutes the machine takes to make one item. The value of t changes for

  11. Q6

    November 2018 · Paper 1H

    3 marksR11 Compound units: speed, density and pressureA14 Graphs in real contexts
    The whole paper ↗
    November 2018 Paper 1H, question 6: A ship is sailing in a straight line from its home port. The distance-time graph shows 4 hours of the journey. Work out the speed of the ship during these 4 hou

  12. Q17

    June 2018 · Paper 2H

    4 marksA14 Graphs in real contexts
    The whole paper ↗
    June 2018 Paper 2H, question 17: A ball is thrown vertically upwards. The graph shows the height of the ball above the ground after it is thrown. 17 (a) For how many seconds is the ball at a he

  13. Q23

    June 2017 · Paper 1H

    3 marksA15 Gradients and areas under graphsA14 Graphs in real contexts
    The whole paper ↗
    June 2017 Paper 1H, question 23: Here is a velocity-time graph of a motorbike for 25 seconds. 23 (a) After how many seconds was the acceleration zero? Answer seconds 23 (b) Work out the distanc

  14. Q14

    June 2017 · Paper 2H

    3 marksA9 Straight-line graphsA14 Graphs in real contexts
    The whole paper ↗
    June 2017 Paper 2H, question 14: The graph shows the cost of some taxi journeys. Work out a formula for C in terms of n. Answer

  15. Q15

    June 2017 · Paper 3H

    2 marksA14 Graphs in real contexts
    The whole paper ↗
    June 2017 Paper 3H, question 15: The graph shows the depth of water in a harbour for 12 hours. d is the depth of water in a harbour in metres t is the number of hours after 9 am 15 (a) For how

  16. 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 16 questions on Graphs in real contexts, as a list
  1. June 2025, Paper 3H, Q23 (2 marks): A roller coaster starts at ground level. The height above ground level, h, in metres, of the roller coaster is given by h = – (t – 7)2 + 49 where t is the time
  2. June 2024, Paper 2H, Q24 (4 marks): A room is kept at a constant temperature of 21° C for 6 hours. The heating is then turned off and the room begins to cool. Here is a sketch graph showing the te
  3. 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
  4. November 2022, Paper 2H, Q11 (4 marks): A tank contains 40 litres of water. 11 (a) Water leaks out of the tank at a rate of 1.2 litres per minute. The leak is stopped after 20 minutes. Show that, when
  5. November 2022, Paper 3H, Q15 (5 marks): A mobile phone takes 2 hours to charge from empty. When the phone is being charged, the current flow into the phone • starts at full current flow (100%) • conti
  6. June 2022, Paper 1H, Q8 (3 marks): In a week, Samir is paid a basic hourly rate for the first 30 hours worked an overtime hourly rate for any extra hours worked. The graph shows his pay for worki
  7. June 2022, Paper 1H, Q25 (3 marks): Here is the speed-time graph for a 50-second journey. 25 (a) Circle the acceleration, in m/s2, halfway through the journey. 0 2 20 25 25 (b) Work out the total
  8. November 2020, Paper 3H, Q8 (3 marks): Chris visits a library. He cycles to the library in half an hour at a speed of 12 miles per hour. He stays at the library for one hour. He then cycles home. The
  9. November 2019, Paper 3H, Q12 (3 marks): The graph shows how much Molly is paid for working for up to 40 hours. She receives a basic rate of pay for the first 35 hours worked a higher rate of pay for t
  10. June 2019, Paper 1H, Q10 (4 marks): The number of items, n, made in 1 hour by a machine is given by n = t 60 t is the time in minutes the machine takes to make one item. The value of t changes for
  11. November 2018, Paper 1H, Q6 (3 marks): A ship is sailing in a straight line from its home port. The distance-time graph shows 4 hours of the journey. Work out the speed of the ship during these 4 hou
  12. June 2018, Paper 2H, Q17 (4 marks): A ball is thrown vertically upwards. The graph shows the height of the ball above the ground after it is thrown. 17 (a) For how many seconds is the ball at a he
  13. June 2017, Paper 1H, Q23 (3 marks): Here is a velocity-time graph of a motorbike for 25 seconds. 23 (a) After how many seconds was the acceleration zero? Answer seconds 23 (b) Work out the distanc
  14. June 2017, Paper 2H, Q14 (3 marks): The graph shows the cost of some taxi journeys. Work out a formula for C in terms of n. Answer
  15. June 2017, Paper 3H, Q15 (2 marks): The graph shows the depth of water in a harbour for 12 hours. d is the depth of water in a harbour in metres t is the number of hours after 9 am 15 (a) For how
  16. 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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