Mathematics · May / June 2025 · Paper 21 · Question 21
0580
As printed in the paper
The question as text
A Ð O C ĕ NOT TO SCALE n 2m OAÐC is a rhombus and O is the origin. The diagonals of the rhombus intersect at ĕ. and m n 2 OĦ AĦ ¢ ¢ .
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21(a)(i)[1]
2m – n [1]
21(a)(ii)[1]
2m + n [1]
21(b)[3]
CD = 10m – 5n CD = 5 OA leading to CD is parallel to OA [ OACD is a trapezium] [10]
M2 Allow
M2 for equivalents CD = –2n + 10m – 3n CD = ( ) − + + − + − or 2 m n 2 m n 10 m 3 n For M2, FT their (a) e.g. = + + − CD their CO their OA 1 0 m 3 n
or M1 for correct route for CD using the lines of the diagram with AD = + e.g. CD CA AD oe A1 Dependent on M2
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