IGCSE 0580 Question Bank

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.

Functions and GraphsGraphs of functions11 marksCoreCalculatorPaper 31Specimen 2025
Open in interactive question bank →IGCSE Mathematics 0580 Specimen 2025 Paper 31 Question 13 – Functions and Graphs, Graphs of functions, 11 marks

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 11 (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 12

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