Mathematics · Oct / Nov 2024 · Paper 41 · Question 10

2x2 + 5x –187 [= 0] (2x –17)(x + 11) [= 0] oe Leading to x = 8.5 with no errors [5]

M2 M1 for (2x + 3)(x + 1) = 190 M1 A1

59 [2]

M1 for 6 × 8.5 + 8 oe or 6x + 8 oe

or B1 for 9.5 and 20

360 π × r2 – 1 50 2 r2 × sin50 = 30 oe 23.70[9] to 23.72… [6]

M3 M1 for 50 360 π × r2

M1 for 1 2 r2 × sin50 oe A1 must see at least 4 sig figs

40.7 or 40.8 or 40.71 to 40.75… [4]

M2 for 2 × 23.7 × sin 25 oe or 23.7 2 + 23.7 2 −× 2 23.7 23.7cos50 × oe 23.7 sin 50 or oe − 180 50 sin 2 x

or M1 for = oe sin25 23.7 or for 2 + 2 −× × oe 23.7 23.7 2 23.7 23.7cos50 AB 23.7 or = oe − 180 50 sin 50 sin 2 AND

M1 for 50 360 × 2 × π × 23.7 oe