Question 8 — IGCSE 0580 May/June 2023 Paper 31
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Functions and Graphs · Graphs of functions. Worth 9 marks.
Open in interactive question bank →
Question text
8 Two friends, Diego and Javier, meet at a swimming pool.
The travel graph shows Diego’s journey by bicycle from his home to the swimming pool.
Javier’s 10
home
9
8
7
Swimming
pool 6
5
Distance from
Diego’s home
(km)
4
3
2
1
Diego’s 0
10 00 10 30 11 00 11 30 12 00 12 30 13 00
home
Time
(a) Calculate Diego’s speed for his journey from his home to the swimming pool.
Give your answer in kilometres per hour.
........................................ km/h [2]
© UCLES 2023 0580/31/M/J/23
17
(b) Diego stays at the swimming pool until 12 20.
(i) On the grid, draw the line representing the time he stays at the swimming pool. [1]
(ii) Work out how long, in hours and minutes, he is at the swimming pool.
................... h ................... min [1]
(c) Javier leaves his home 15 minutes later than Diego.
He walks to the swimming pool at a constant speed of 6 km/h.
On the grid, show Javier’s journey from his home to the swimming pool.
[3]
(d) They both leave the swimming pool at 12 20 and return to their own homes, each at a constant
speed.
Diego arrives home at 12 45.
Javier arrives home 5 minutes later than Diego.
Complete the travel graph. [2]
© UCLES 2023 0580/31/M/J/23 [Turn over
18
Mark scheme
