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.
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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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