Question 9 — IGCSE 0580 Oct/Nov 2023 Paper 33
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Vectors · Vectors (basic). Worth 10 marks.
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Question text
9 (a)
C
NOT TO
SCALE
18 cm
9.6 cm
A O B
The diagram shows a semicircle with diameter AB.
O is the midpoint of AB and C is a point on the circumference.
(i) Calculate the area of triangle ABC.
.......................................... cm2 [2]
(ii) Show that AB = 20.4cm.
[2]
(iii) Calculate the shaded area.
.......................................... cm2 [2]
© UCLES 2023 0580/33/O/N/23
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(b) The diagram shows two right-angled triangles, PQR and XYZ.
Y
NOT TO
46° SCALE
Q
26 cm
51°
P R X 34 cm Z
Calculate the difference in the heights RQ and XY.
............................................ cm [4]
© UCLES 2023 0580/33/O/N/23 [Turn over
18
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