Page 139 - MAT KS3 Y8 Cambridge CheckPoint

13.4 Graphs in real-life contexts

2 Lucas is driving from Ayton to Bibury.
Bibury 300
Simone is driving from Bibury to Ayton.
a How long did Lucas take to get to Midley? Lucas
b How long did Lucas stop at Midley? Distance from Ayton (km) 200
c How long did Simone take to get from Bibury Midley
to Ayton? 100 Simone
d How far were the cars from Bibury when they passed
Ayton 0
one another? 0 1 2 3 4 5
Time (hours)

3 Razi and Jake are running laps of a running track.
8
a How do you know from the graph that Jake is
7
running faster than Razi?
6
b How long had Razi been running before Jake started? 5
c Where were the runners 9 minutes after Razi Laps run 4
started running?
3 Razi
2 Jake
1
0
0 1 2 3 4 5 6 7 8 9 10
Time (minutes)

4 a A van travels at a constant speed of 15 m/s for 60 seconds.
Show this on a graph. Put time on the horizontal axis and speed on the vertical axis.
b The speed of a car increases steadily from 0 m/s to 30 m/s over 20 seconds. It travels at 30 m/s for
30 seconds. Then the speed steadily decreases from 30 m/s to 0 m/s in 10 seconds.
Show the speed of the car on the same graph.
c For how many seconds is the car travelling faster than the van?

5 At 13 00 Shen leaves home on a cycle ride. By 15 00 he has travelled 35 km.
1
He stops for 1 hours and then cycles back. He arrives back home at 18 00.
2
a Show this journey on a graph. Put time on the horizontal axis and distance from home on the
vertical axis.
b At 15 00 Shen’s sister leaves home and cycles after him at the same speed. Show this on the graph.
c How far from home will they meet?

6 Xavier is doing some athletics training. He runs for 5 minutes, covering one kilometre, and then he
rests for five minutes. He continues in this way until he has run 4 kilometres.
a Show this on a graph with time on the horizontal axis and distance on the vertical axis.
b Ten minutes after Xavier has started, Alicia runs after him. She runs at the same speed but
without stopping, for 4 kilometres. Show this on the graph.
c Explain how the graph shows that they are running together for part of the time.
d Who finishes running first?

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