Question 13 — IGCSE 0580 Specimen 2025 Paper 31
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Functions and Graphs · Graphs of functions. Worth 11 marks.
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Question text
13 Jason leaves Town A at 09 00 and cycles to Town C.
The travel graph shows Jason’s journey.
Town D 50
40
Town C 30
Distance from
Town A (km)
20
Town B
10
Town A 0
09 00 10 00 11 00 12 00 13 00 14 00
Time
(a) Find Jason’s average speed, in kilometres per hour, from Town A to Town B.
....................................... km/h [1]
(b) Jason leaves Town C at 12 00.
Jason continues to Town D at a constant speed of 15 kilometres per hour.
(i) Calculate the time Jason takes to travel from Town C to Town D.
Give your answer in hours and minutes.
....................... h ....................... min [2]
(ii) On the travel graph, complete Jason’s journey. [1]
© Cambridge University Press & Assessment 2022 0580/03/SP/25
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(c) Find the total time, in minutes, that Jason stopped between Town A and Town D.
........................................ min [1]
(d) Calculate Jason’s overall average speed, in kilometres per hour, from Town A to Town D.
....................................... km/h [3]
(e) Lisa leaves Town C at 11 00 and arrives at Town A at 13 42.
Lisa cycles at a constant speed on the same road as Jason, without stopping.
(i) Draw a line on the travel graph to show Lisa’s journey. [2]
(ii) Find the distance from Town A when Lisa and Jason pass each other.
.......................................... km [1]
© Cambridge University Press & Assessment 2022 0580/03/SP/25 [Turn over
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Mark scheme
