23 a 42° 25° 17° M1 3 M1 method of subtracting M – A1 A1 cao = cos 25° AB = 70 × cos 25° M1 M1 correct trig statement b = 63.441545 63.4 m A1 A1 63.4 to either 0, 1 or 2 dp = sin 25° CB = 70 × sin 25° c = 29.583278 M1 M1 correct trig statement = tan 42° BD = AB × tan 42° 29.6 m A1 A1 63.4 to either 0, 1 or 2 dp = 57.123024 d CD = BD BC M1 M1 correct trig statement – = 27.539745 A1 A1 63.4 to either 0, 1 or 2 dp M1 M1 for process of subtracting 27.5 m A1 A1 for 27.5 to either 0, 1 or 2 dp 10 24 a i 80π m2: correct B1 2 B1 for correct. M Area = (82 × + (42 ×π) 3 π) = 64π + 16π = 80π ii 208π m2: squared values on diagram B1 B1 for valid reason multiplied by and added π iii 24π m2: multiplied radii by 2 instead of B1 B1 for valid reason squaring them iv 48π m2: subtracting 42π from 82π instead B1 B1 for valid reason of adding. 4
23 a b c d 42° – 25° = cos 25° AB = 70 × cos 25° = 63.441545 = sin 25° CB = 70 × sin 25° = 29.583278 = tan 42° BD = AB × tan 42° = 57.123024 CD = BD – BC = 27.539745 17° 63.4 m 29.6 m 27.5 m M1 A1 M1 A1 M1 A1 M1 A1 M1 A1 3 M1 method of subtracting A1 cao M1 correct trig statement A1 63.4 to either 0, 1 or 2 dp M1 correct trig statement A1 63.4 to either 0, 1 or 2 dp M1 correct trig statement A1 63.4 to either 0, 1 or 2 dp M1 for process of subtracting A1 for 27.5 to either 0, 1 or 2 dp M 10 24 a i ii iii iv 80π m2: correct Area = (82 × π) + (42 ×π) = 64π + 16π = 80π 208π m2: squared values on diagram multiplied by π and added 24π m2: multiplied radii by 2 instead of squaring them 48π m2: subtracting 42π from 82π instead of adding. B1 B1 B1 B1 2 3 B1 for correct. B1 for valid reason B1 for valid reason B1 for valid reason M 4
Foundation_Skills_Geometry%20MarkScheme_AQA.docx