Question 11 — IGCSE 0580 Oct/Nov 2025 Paper 22
Cambridge IGCSE Mathematics 0580, Extended tier, non-calculator. Topic: Geometry · Angles using geometrical properties. Worth 7 marks.
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Question text
11
P
NOT TO
S T SCALE
Q R
In the diagram, S lies on PQ and T lies on PR.
ST is parallel to QR.
(a) Explain why triangle PQR is mathematically similar to triangle PST.
Give a geometrical reason for each statement you make.
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(b) ST = 3 cm, QR = 9 cm and PS = 5 cm.
W ork out PQ.
PQ = ............................................cm [2]
(c) The area of triangle PST is 2k cm2.
Find, in terms of k, the area of quadrilateral QRTS.
..........................................cm2 [2]
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