Mathematics · May / June 2024 · Paper 41 · Question 5

4 − 12 [2]

B1 for each

12 + 72 52 + ([–]5)2 Both 50 oe [3]

M1 M1 A1 With no errors seen If M0M0A0 scored

SC1 for 50 oe for each

44.4 or 44.42[8…] to 44.435 [2]

FT their (a)(ii) correct to 3sf or better

M1 for 2 × π × their 50 oe

(3, 1) [2]

B1 for each

[y =] 1 3 x [4]

B3 for a correct equation in the wrong form as final answer

Or B2 for 1/3 stated or used as perpendicular gradient OR

M1 for [grad PQ] = 7 −− 5 oe − 1 5 − 1

M1 for PQ their grad M1dep for substituting their(a)(iv) or (0,0) into y = their mx + c oe dep on the 2nd M1 or B2

5 a + 2 3 5 b final answer [4]

B3 for an unsimplified correct answer 2 ( ) = b − a

or B2 for AM soi 5 3 5 ( ) = a − b soi or B M

or B1 for AB = b – a or BA = a – b or for a correct route for OM or for correct diagram