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Mathematics · May / June 2022 · Paper 22 · Question 12

0580

As printed in the paper

The question as text

Annette cycles a distance of 70 km from Midville to Newtown. Leaving Midville, she cycles for 1 hour 30 minutes at a constant speed of 20 km/h and then stops for 30 minutes. She then continues the journey to Newtown at a constant speed of 16 km/h. 0 0 20 40 60 80 1 2 Time (h) Distance (km) 3 4 5

Read automatically from the paper; the printed page above is exact.

Show the answer and mark scheme
  • 12(a)[3]

    correct graph [3]

    B1 for line from (0, 0) to (1.5, 30)

    B1 for horizontal line from (their 1.5, their 30) for 0.5 hours

    B1 for a line from (their 2, their 30) ending at distance 70 with a gradient of 16 Provided it fits on the grid and their 30 is <70

  • 12(b)[3]

    15.6 or 15.55 to 15.56 nfww [3]

    M2 for 70 ÷ (their final time in hours) (final time =) 1.5 + 0.5 + 70 – their 30 16 or 4.5 or their final time from graph

    or M1 for 70 ÷ any time

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