Question 7 — IGCSE 0580 March 2023 Paper 32
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Geometry · Scale drawings. Worth 10 marks.
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Question text
7 The scale drawing shows the positions of three towns, R, S and T, on a map.
RS and ST are straight roads between the towns.
The scale is 1 centimetre represents 8 kilometres.
North
North
T
R
North
S
Scale: 1 cm to 8 km
© UCLES 2023 0580/32/F/M/23
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(a) Work out the actual distance between R and S.
........................................... km [2]
(b) Another town, V, is on a bearing of 163° from R and on a bearing of 215° from T.
Mark the position of V on the map. [2]
(c) A man cycles at a constant speed of 24 km/h along the straight road from S to T.
After 1 hour and 50 minutes he stops at a café, C.
Mark the position of C on the map.
You must show all your working.
[3]
(d) A hotel, H, is on a bearing of 321° from R.
Work out the bearing of R from H.
................................................. [2]
(e) Write the scale 1 cm to 8 km in the form 1 : n.
1 : ................................................ [1]
© UCLES 2023 0580/32/F/M/23 [Turn over
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