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O-LevelMathematicsAlgebra and graphs4024/11 · May/June 2017 · Q204 Marks

[Figure 20.1 - A distance-time graph showing the journey of a red bus. The y-axis is 'Distance from village (km)' (0-25). The x-axis is 'Time' (11:00-12:00). The graph shows segments of travel and stops.] The distance-time graph shows the journey of a red bus travelling from a village to a town.

  1. (a)Find the total length of time for which the bus is stopped during the journey.[1]
  2. (b)Find the average speed of the bus over the whole journey from the village to the town.[1]
  3. (c)(i)A yellow bus leaves the town at 1125 and travels non-stop along the same road to the village at a constant speed of 50km/h. On the graph draw the distance-time graph for the yellow bus.[1]
  4. (c)(ii)At what time does the yellow bus meet the red bus?[1]

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Mark scheme

Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.

  1. [1] 11
  2. [1] 30
  3. [1] line joining (1125, 25) to (1155, 0)
  4. [1] 1136 – 1137 Ft their line with negative gradient

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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 2017 Paper 1 Variant 1, question 20.

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