O-LevelMathematicsAlgebra and graphs4024/22 · May/June 2015 · Q28 Marks
The diagram is a speed-time graph of a train's journey between two stations. [Figure 2.1]
- (a)What was the maximum speed of the train?[1]
- (b)Circle the statement that describes the train's motion 350 seconds after it left the first station. Accelerating Decelerating Constant speed Stopped at a station[1]
- (c)Calculate the acceleration of the train during the first 150 seconds of its journey.[1]
- (d)What was the speed of the train 20 seconds before it completed its journey?[1]
- (e)How far did the train travel during the first 200 seconds?[2]
- (f)Calculate the average speed of the train in kilometres per hour during the first 200 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 2015). The mark or mark type is shown in brackets.
- [1] 27
- [1] Constant speed
- [1] 0.08 or 2/25 final answer
- [1] 3 to 3.5
- [2] M1 for (200 + 50)/2; 1500 Or B1 for A = 900 or rectangle = 600 After 0, allow SC1 for 1750
- [2] M1 for their (total distance ÷ total time) soi; 27 cao
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