Mathematics · Oct / Nov 2022 · Paper 42 · Question 7

52.[0] or 52.01… [4]

2 + 2 − 2 39.4 46.5 38.2

M2 for [cosP = ] oe 2 39.4 × × 46.5

or M1 for 38.2 2 = 39.4 2 + 46.5 2 −× 2 39.4 46.5 cos × × P oe

A1 for 0.616 or 0.6155…

36.6 or 36.64 to 36.65 [3]

M2 for d 46.5 = sin( their 52.01) oe

or M1 for recognition that the line from Q is perpendicular to PR

41[.0] or 41.01… nfww [3]

M2 for 292 + 212 + 202 oe or better

or M1 for 292 + 212 oe or 292 + 202 oe or 212 + 202 oe or better

29.2 or 29.18 to 29.2 [3]

M2 for sin[GAC] = 20 their AG oe

or M1 for angle GAC identified

bearing 286 distance 64.6 or 64.59… [9]

B2 B1 for angle MLK = 49 or for angle MKL = 35 correctly identified or angle from North to ML = 106

B3 M2 for 112 sin( × their 35) oe sin(96)

or M1 for the implicit form