O-LevelMathematicsAlgebra and graphs4024/11 · May/June 2015 · Q234 Marks
Kim and Lee run a 2000 metre cross-country course that starts at P and ends at Q. Lee starts 1 minute after Kim. Their distance-time graphs are shown in the diagram. [Figure 23]
- (a)Find the distance Lee has run when he overtakes Kim.[1]
- (b)Find how much longer Kim takes to complete the course than Lee.[1]
- (c)(i)Melvin starts 3 minutes after Kim. He runs the course in the opposite direction to that taken by Kim and Lee. He runs at a constant speed and takes 10 minutes to reach P. On the diagram, draw the distance-time graph for Melvin.[1]
- (c)(ii)Express Melvin's speed in km/h.[1]
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 2015). The mark or mark type is shown in brackets.
- [1] 1450
- [1] 2.2 (minutes) oe
- [1] Line from (3, 2000) to (13, 0)
- [1] 12
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