Mathematics · May / June 2021 · Paper 42 · Question 5

5 final answer − 13 [1]

− 4 final answer 11 [2]

− − 4 k 6

B1 for answer or 11 or k 16 seen 5.39 or 5.385… [2]

M1 for 22 + ([–]5)2

[k =] 8 [m =] – 32 [3]

B2 for k = 8 or m = –32

or M1 for – 3 + 2k = 13 oe or for m = –5 × their k + 8 correctly evaluated

p + q final answer [1]

1 2 p – 1 2 q or 1 p – q final 2 (p – q) or 2 answer [2]

M1 for unsimplified answer or any correct vector route for CM , e.g. – q + 1 their (b)(i)(a) 2 1 2 p + 1 10 q or 5 p + q final answer 10 [2]

M1 for unsimplified answer or any correct vector route for MN

+ 5 3 p + q or 5 p 3 q final answer 3 [3]

B2 for unsimplified correct answer OR

M1 for p + 3 5 q seen

B1 for final answer of form kp + q (k > 1) or final answer 5 3 p + jq oe (any j)