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O-LevelMathematicsAlgebra and graphs4024/12 · May/June 2018 · Q254 Marks

The diagram is the speed-time graph for 60 seconds of a train's journey. At the beginning of this part of the journey the train is travelling at u m/s.

  1. (a)Giving each answer in its simplest form, find expressions in terms of u, for the deceleration for the last 10 seconds,[1]
  2. (b)the speed when t = 55,[1]
  3. (c)the distance travelled during these 60 seconds.[2]

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.

Mark scheme

Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.

  1. [1] u/10
  2. [1] u/2
  3. [1] M1 for attempt to find a relevant area under the graph, soi by 50u or 5u or 60u
  4. [1] 55u

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, May/June 2018 Paper 1 Variant 2, question 25.

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