Mathematics · May / June 2023 · Paper 42 · Question 10

13.9 or 13.85 to 13.86 [4]

M3 for 2x2 = 282 – 202 or better ( ) = 2 − 2 or x 28 20 sin45 oe

or M2 for x2 + x2 + 202 = 282 oe x = or sin45 2 − 2 28 20 )

or M1 for any correct Pythag in 2D or their AC × sin 45 oe dep on trig/Pythagoras attempt for AC

51.9 or 51.87 to 51.88 [6]

− 4

M3 for sin = 29 to 30 or 30 0.5 oe 37 + 0.5 37 to 38

or M2 for correct trig statement for correct angle with values in range 29 to 31 and 36 to 38

or M1 for 30 + 0.5 or 30 – 0.5 or 37 + 0.5 or 37 – 0.5 seen or for identifying correct angle RKM