Mathematics · May / June 2024 · Paper 22 · Question 24
0580
As printed in the paper
The question as text
a O P R M S Q N b NOT TO SCALE O is the origin and OPQR is a parallelogram. M is the midpoint of PQ and N divides QR in the ratio 2 : 1. a OP = and b OR = .
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
24(a)[2]
1 2 − b a 2 3 [2]
B1 for answer 1 2 +k − b a or jb a 2 3 or correct unsimplified in terms of a and b
24(b)[3]
5 4 b [3]
RS = 1
M2 for 4 b oe MS = 3 1 2 − a oe or b 2 2 3 NS = 1 1 2 − a oe or b 2 2 3
or M1 for a correct route in terms of vertices and/or a and/or b
or B1 for answer jb where j > 1 RS = 1 RS = 1 or MQ , OR , oe 2 4 NS = 1 MS = 3 MN , MN 2 2 NS = 1 MS 3
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