Question 22 — IGCSE 0580 Specimen 2025 Paper 41
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Vectors · Further vectors (vector combinations). Worth 6 marks.
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Question text
22 The diagram shows triangle OPT.
T
K
NOT TO
t SCALE
L
O P
p
In the diagram OT = t and OP = p.
OK : KT = 2 : 1 and TL : LP = 2 : 1.
(a) Find, in terms of t and p, in its simplest form
(i) PL
............................................... [2]
(ii) KL.
............................................... [2]
(b) KL is extended to the point M.
2 4
KM = − 3t + 3p.
Show that M lies on OP extended.
[2]
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