Question 8 — IGCSE 0580 Oct/Nov 2023 Paper 32
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Co-ordinate geometry · Length and midpoint. Worth 10 marks.
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Question text
8 (a) In triangle RST, RT = 7 cm and ST = 4 cm.
(i) Using a ruler and compasses only, construct triangle RST.
Leave in your construction arcs.
The line RS has been drawn for you.
R S
[2]
(ii) Measure the distance from S to the midpoint of RT.
Give your answer in millimetres.
.......................................... mm [1]
(b) Town A is 8.5 cm from town B on a map.
The scale of the map is 1 : 50 000.
Calculate the actual distance from town A to town B.
Give your answer in kilometres.
........................................... km [2]
© UCLES 2023 0580/32/O/N/23
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(c)
E
x°
NOT TO
SCALE
118°
A B C D
The diagram shows triangle BCE and a straight line ABCD.
BE = CE and angle DCE = 118°.
Find the value of x.
x = ................................................ [2]
(d)
A
NOT TO
8.9 cm SCALE
4.8 cm
C B
The diagram shows a right-angled triangle ABC.
Show that BC is 7.5 cm, correct to 2 significant figures.
[3]
Question 9 is printed on the next page.
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