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Gradient as a rate of change: Edexcel GCSE Maths questions

Every Edexcel GCSE Maths exam question on R14 Gradient as a rate of change, 2017–2025, with its mark scheme and examiner’s report.

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  1. Q7

    November 2024 · Paper 1H

    The whole paper ↗
    November 2024 Paper 1H, question 7: The graph shows the volume of water, V litres, in a tank at time t seconds. 20 16 12 Volume (V litres) 8 4 0 0 10 20 30 40 50 Time (t seconds) What does the gra
  2. Q13

    November 2024 · Paper 2H

    The whole paper ↗
    November 2024 Paper 2H, question 13: Here is a table of values of x and y. x 2 4 6 8 y 0 4 8 12 Nadia says that y is directly proportional to x because the value of y increases by 4 as the value of
  3. November 2023 Paper 1H, question 9: To cook rice the number of cups of rice (x) : the number of cups of water (y) = 4 : 5 (a) Use this information to draw a graph to show the relationship between
  4. Q11

    November 2023 · Paper 2H

    The whole paper ↗
    November 2023 Paper 2H, question 11: y y Graph A Graph B O O x x y y Graph C Graph D O O x x The graphs of y against x represent four different types of proportionality. Match each type of proporti
  5. Q8

    June 2022 · Paper 3H

    The whole paper ↗
    June 2022 Paper 3H, question 8: An electricity company charges the same fixed amount for each unit of electricity used. David uses this graph to work out the total cost of the electricity he h
  6. Q8

    November 2021 · Paper 3H

    The whole paper ↗
    November 2021 Paper 3H, question 8: (a) Using the axes below, sketch a graph to represent the statement y is directly proportional to x y O x (b) Using the axes below, sketch a graph to represent
  7. Q12

    November 2020 · Paper 2H

    The whole paper ↗
    November 2020 Paper 2H, question 12: The graph gives information about the volume, v litres, of petrol in the tank of Jim’s car after it has travelled a distance of d kilometres. 30 20 Volume (v li
  8. 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
  9. June 2018 Paper 2H, question 12: y y Graph A Graph B O x O x y y Graph C Graph D O x O x The graphs of y against x represent four different types of proportionality. Match each type of proporti
  10. Q12

    June 2018 · Paper 3H

    The whole paper ↗
    June 2018 Paper 3H, question 12: The graph shows the volume of liquid (L litres) in a container at time t seconds. 16 14 12 10 Volume 8 (L litres) 6 4 2 0 0 1 2 3 4 5 6 7 8 Time (t seconds) (a)
All 10 questions on Gradient as a rate of change, as a list
  1. November 2024, Paper 1H, Q7 (1 mark): The graph shows the volume of water, V litres, in a tank at time t seconds. 20 16 12 Volume (V litres) 8 4 0 0 10 20 30 40 50 Time (t seconds) What does the gra
  2. November 2024, Paper 2H, Q13 (5 marks): Here is a table of values of x and y. x 2 4 6 8 y 0 4 8 12 Nadia says that y is directly proportional to x because the value of y increases by 4 as the value of
  3. November 2023, Paper 1H, Q9 (4 marks): To cook rice the number of cups of rice (x) : the number of cups of water (y) = 4 : 5 (a) Use this information to draw a graph to show the relationship between
  4. November 2023, Paper 2H, Q11 (2 marks): y y Graph A Graph B O O x x y y Graph C Graph D O O x x The graphs of y against x represent four different types of proportionality. Match each type of proporti
  5. June 2022, Paper 3H, Q8 (3 marks): An electricity company charges the same fixed amount for each unit of electricity used. David uses this graph to work out the total cost of the electricity he h
  6. November 2021, Paper 3H, Q8 (2 marks): (a) Using the axes below, sketch a graph to represent the statement y is directly proportional to x y O x (b) Using the axes below, sketch a graph to represent
  7. November 2020, Paper 2H, Q12 (3 marks): The graph gives information about the volume, v litres, of petrol in the tank of Jim’s car after it has travelled a distance of d kilometres. 30 20 Volume (v li
  8. 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
  9. June 2018, Paper 2H, Q12 (2 marks): y y Graph A Graph B O x O x y y Graph C Graph D O x O x The graphs of y against x represent four different types of proportionality. Match each type of proporti
  10. June 2018, Paper 3H, Q12 (4 marks): The graph shows the volume of liquid (L litres) in a container at time t seconds. 16 14 12 10 Volume 8 (L litres) 6 4 2 0 0 1 2 3 4 5 6 7 8 Time (t seconds) (a)

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