Question 2 — IGCSE 0580 Oct/Nov 2023 Paper 33
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Geometry · Scale drawings. Worth 10 marks.
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Question text
2 (a) Bayside, Millwater and Westbridge are towns beside a lake.
The scale drawing shows the positions of Bayside (B) and Millwater (M).
The scale is 1 centimetre represents 2 kilometres.
North
B
M
Scale: 1 cm to 2 km
(i) Find the actual distance between Bayside and Millwater.
............................................ km [2]
(ii) Westbridge (W) is 17 km from Bayside on a bearing of 155°.
On the scale drawing, mark the position of Westbridge.
[2]
© UCLES 2023 0580/33/O/N/23
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(b) (i) A boat travels from Bayside to Westbridge.
The table gives some information about its journey.
Bayside departs 10 50
arrives 11 36
Millwater
departs 11 45
Westbridge arrives 13 07
Work out how long the boat takes to travel from Millwater to Westbridge.
Give your answer in hours and minutes.
................... h ................... min [1]
(ii) The boat returns directly to Bayside.
It takes 1 hour 20 minutes to travel the 17 km.
Work out the average speed of this journey.
......................................... km/h [2]
(c) Here are the ticket prices for a boat trip from Bayside to Westbridge.
1 person Group of 6 people Group of 15 people
$9.80 $57.30 $138.75
(i) Calculate the cost per person for a group of 15 people.
$ ................................................. [1]
(ii) A group of 24 people buy tickets for the boat trip from Bayside to Westbridge.
Calculate the least amount of money the group needs to pay.
$ ................................................. [2]
© UCLES 2023 0580/33/O/N/23 [Turn over
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