Mathematics · May / June 2020 · Paper 41 · Question 8

Correct sketch [2]

B1 for correct shape but inaccurate

Rotational [symmetry] order 2 [centre] (180, 0) [2]

B1 for rotational [symmetry]

48.6 or 48.59 to 48.60 and 131.4 or 131.40 to 131.41 [3]

B2 for 48.6 or 48.59 to 48.60 or 131.4 or 131.40 to 131.41

or M1 for sin x = 0.75 or better If 0 scored,

SC1 for two answers adding to 180

(x + 5)2 – 11 [2]

M1 for (x + 5)2 + k or (x + their 5)2 + 14 – (their 5)2 or a = 5

Sketch of U-shaped parabola with a minimum indicated at (–5, –11) with no part of graph in 4th quadrant [3]

FT their (x + 5)2 – 11 provided in that form

B1 for U shape curve B1FT for turning point at (–5, k) or (k, –11)