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Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter

Graphs 3

18 practice questions

Practice questions

1–3 of 3 · Hard

  1. Question 1

    4 marks · Hard

    Below is an extract from a distance–time graph that describes part of Rob's run:

    Rob's Run05101520253002468Time (minutes)Distance from home (km)Rob's Run
    Distance–time graph for Rob's run (part)

    Describe what Rob does between each of these time intervals: (a) 0–6 min, (b) 13–18 min, (c) 18–25 min, and (d) 25–30 min.

    (a)

    0–6 min:

    [1 mark]
    (b)

    13–18 min:

    [1 mark]
    (c)

    18–25 min:

    [1 mark]
    (d)

    25–30 min:

    [1 mark]
    Answer and see the solution →
  2. Question 2

    4 marks · Hard

    Olivia walks from her home to the post office and back. Her journey is shown on this distance–time graph.

    Olivia's Journey01020304000.511.52Time (minutes)Distance from home (km)Olivia's Journey
    Olivia's walk (distance–time graph)

    a) Work out Olivia's speed on her journey from home to the post office.

    b) Explain why Olivia takes more time to return home compared to her outward journey.

    (a)

    Outward journey speed:

    [2 marks]
    (b)

    Reason for increased return time:

    [2 marks]
    Answer and see the solution →
  3. Question 3

    4 marks · Hard

    A distance–time graph for two people, Amira and Ben, is shown below. Both walk from the same starting point to the same destination.

    Amira and Ben's Journey0481216202400.40.81.21.622.4AmiraBenTime (minutes)Distance (km)Amira and Ben's Journey
    Amira and Ben's walk (distance–time)

    a) Compare the journey times for Amira and Ben to reach the destination.

    b) Find the time interval during which Ben is stationary and work out how far he is from the start during this time.

    c) Calculate the speed (in km/h) for Amira over her whole journey.

    (a)

    Time taken for Amira (min):

    Time taken for Ben (min):

    [1 mark]
    (b)

    Ben stationary from minute ___ to ___. Distance from start (km):

    [1 mark]
    (c)

    Speed of Amira (km/h):

    [2 marks]
    Answer and see the solution →