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Gradient as a rate of change: OCR GCSE Maths questions

Every OCR 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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921 questions

  1. Q8

    November 2023 · Paper 4

    2 marksR14 Gradient as a rate of changeA12 Recognising and sketching graphs
    The whole paper ↗
    November 2023 Paper 4, question 8: Here are sketches of six graphs, labelled A to F. A B C y y y x x x O O O E F D y y y x x x O O O Write the letter of the graph that represents the following re

  2. Q4

    June 2023 · Paper 6

    4 marksR10 Direct and inverse proportionR14 Gradient as a rate of change
    The whole paper ↗
    June 2023 Paper 6, question 4: (a) The time taken to complete a journey halves as the speed doubles. On the axes below, sketch a graph to show this relationship. Time taken O Speed (b) It tak

  3. Q12

    November 2022 · Paper 6

    6 marksA15 Gradients and areas under graphsR14 Gradient as a rate of change
    The whole paper ↗
    November 2022 Paper 6, question 12: The graph shows the speed of a car during the first 40 seconds of a journey. 20 15 Speed 10 (m/s) 5 0 0 5 10 15 20 25 30 35 40 Time (s) (a) Write down the accel

  4. Q6

    November 2021 · Paper 5

    2 marksR10 Direct and inverse proportionR14 Gradient as a rate of change
    The whole paper ↗
    November 2021 Paper 5, question 6: Here are sketches of five graphs. y y y x x x O O O Graph A Graph B Graph C y y x x O O Graph D Graph E Write the letter of the graph that represents the follow

  5. Q3

    November 2020 · Paper 6

    6 marksA14 Graphs in real contextsR14 Gradient as a rate of change
    The whole paper ↗
    November 2020 Paper 6, question 3: The graph shows the cost of electricity with Company A. 35 30 25 20 Cost of electricity (£) 15 10 5 0 0 50 100 150 200 250 Electricity used (kwH) (a) Use the in

  6. Q4

    June 2019 · Paper 5

    4 marksA21 Forming and solving equationsR14 Gradient as a rate of change
    The whole paper ↗
    June 2019 Paper 5, question 4: (a) A sunflower grows at a rate of 4 cm each day. How many days does it take to grow from a height of 80 cm to more than 1.06 m? (a) (b) If the sunflower grows

  7. Q8

    November 2018 · Paper 6

    7 marksA15 Gradients and areas under graphsR14 Gradient as a rate of change
    The whole paper ↗
    November 2018 Paper 6, question 8: The graph shows the speed of a cyclist during 20 seconds of a journey. 14 12 10 8 Speed (m/s) 6 4 2 0 2 4 6 8 10 12 14 16 18 20 Time (s) (a) Find the accelerati

  8. Q9

    November 2018 · Paper 6

    2 marksR10 Direct and inverse proportionR14 Gradient as a rate of change
    The whole paper ↗
    November 2018 Paper 6, question 9: These graphs show different relationships between the variables x and y. Graph A Graph B y y x x O O Graph C Graph D y y x x O O Identify the graph which shows

  9. Q10

    November 2018 · Paper 6

    2 marksR14 Gradient as a rate of changeR10 Direct and inverse proportion
    The whole paper ↗
    November 2018 Paper 6, question 10: Sketch a graph which shows that y is directly proportional to x2. y O x
All 9 questions on Gradient as a rate of change, as a list
  1. November 2023, Paper 4, Q8 (2 marks): Here are sketches of six graphs, labelled A to F. A B C y y y x x x O O O E F D y y y x x x O O O Write the letter of the graph that represents the following re
  2. June 2023, Paper 6, Q4 (4 marks): (a) The time taken to complete a journey halves as the speed doubles. On the axes below, sketch a graph to show this relationship. Time taken O Speed (b) It tak
  3. November 2022, Paper 6, Q12 (6 marks): The graph shows the speed of a car during the first 40 seconds of a journey. 20 15 Speed 10 (m/s) 5 0 0 5 10 15 20 25 30 35 40 Time (s) (a) Write down the accel
  4. November 2021, Paper 5, Q6 (2 marks): Here are sketches of five graphs. y y y x x x O O O Graph A Graph B Graph C y y x x O O Graph D Graph E Write the letter of the graph that represents the follow
  5. November 2020, Paper 6, Q3 (6 marks): The graph shows the cost of electricity with Company A. 35 30 25 20 Cost of electricity (£) 15 10 5 0 0 50 100 150 200 250 Electricity used (kwH) (a) Use the in
  6. June 2019, Paper 5, Q4 (4 marks): (a) A sunflower grows at a rate of 4 cm each day. How many days does it take to grow from a height of 80 cm to more than 1.06 m? (a) (b) If the sunflower grows
  7. November 2018, Paper 6, Q8 (7 marks): The graph shows the speed of a cyclist during 20 seconds of a journey. 14 12 10 8 Speed (m/s) 6 4 2 0 2 4 6 8 10 12 14 16 18 20 Time (s) (a) Find the accelerati
  8. November 2018, Paper 6, Q9 (2 marks): These graphs show different relationships between the variables x and y. Graph A Graph B y y x x O O Graph C Graph D y y x x O O Identify the graph which shows
  9. November 2018, Paper 6, Q10 (2 marks): Sketch a graph which shows that y is directly proportional to x2. y O x

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