IGCSE 0580 Question Bank

Question 4 — IGCSE 0580 May/June 2023 Paper 33

Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Functions and Graphs · Graphs of functions. Worth 12 marks.

Functions and GraphsGraphs of functions12 marksCoreCalculatorPaper 33May/June 2023
Open in interactive question bank →IGCSE Mathematics 0580 May/June 2023 Paper 33 Question 4 – Functions and Graphs, Graphs of functions, 12 marks

Question text

4 (a) A boat sails from A to B. The travel graph shows this journey. C 18 16 14 12 Distance 10 from A (km) 8 B 6 4 2 A 0 10 00 10 30 11 00 11 30 12 00 12 30 13 00 Time (i) Write down the time that the boat leaves A. ................................................. [1] (ii) Work out how long, in minutes, it takes the boat to sail from A to B. ........................................... min [1] (iii) The boat stays at B for 20 minutes. The boat then sails to C at a constant speed of 8 km/h. Complete the travel graph. [2] (iv) Work out the average speed, in km/h, for the whole journey from A to C. ......................................... km/h [3] © UCLES 2023 0580/33/M/J/23 9 (b) The scale drawing shows the positions of two ports, X and Y. The scale is 1 cm represents 8 km. North Y North sea land X Scale: 1 cm to 8 km (i) Measure the bearing of Y from X. ................................................. [1] (ii) A boat, B, is 52 km from X and 80 km from Y. On the scale drawing, mark the position of B. [2] (iii) A ship, S, is on a bearing of 284° from X. Work out the bearing of X from S. ................................................. [2] © UCLES 2023 0580/33/M/J/23 [Turn over 10

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