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O-LevelMathematicsAlgebra and graphs4024/12 · May/June 2021 · Q125 Marks

Lara goes for a cycle ride. The distance-time graph shows her journey. [Figure 12.1] Calculate Lara's average speed, in kilometres per hour, for the whole journey.

  1. (a)Lara goes for a cycle ride. The distance-time graph shows her journey. [Figure 12.1] Calculate Lara's average speed, in kilometres per hour, for the whole journey.[3]
  2. (b)A car travels at a constant speed of 10m/s for 80 seconds. It then decelerates at a constant rate of 0.5 m/s² until it stops. On the grid, draw the speed-time graph for this journey. [Figure 12.2][2]

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Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

  1. [3] (a) 16 nfww
  2. [3] (a) B1 for [total distance = ] 24 used or [total time = ] 1.5 hours oe used
  3. [3] (a) M1 for figs 24 ÷ their total time
  4. [2] (b) Correct graph
  5. [2] (b) B1 for line from (0, 10) to (80, 10)
  6. [2] (b) B1FT for line from their (80, 10) with gradient -0.5

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 5 marks.
Source
O-Level Mathematics, May/June 2021 Paper 1 Variant 2, question 12.

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