IGCSE 0580 Question Bank

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.

Functions and GraphsGraphs of functions9 marksCoreCalculatorPaper 31May/June 2023
Open in interactive question bank →IGCSE Mathematics 0580 May/June 2023 Paper 31 Question 8 – Functions and Graphs, Graphs of functions, 9 marks

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

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