15 Split the shape as shown in the diagram. M1 3 M1 for process of splitting shape up B Area = 3 × 2.5 1 × 2 + 2 × 6.5 – π(1.2)2+ = 7.5 - 4.52389 + 2 + 13 = 17.97611 cm2 M1 M1 for method of finding area of each part 18.0 cm2 A1 A1 for answer to at least 3 dp A1 A1 for answer to either 0, 1 or 2 dp 4 16 a e.g. 1 cm × 1 cm × 24 cm B3 2 B1 for each cuboid with a volume of 24 cm3. B 1 cm × 2 cm × 12 cm 3 2 cm × 3 cm × 4 cm b e.g. 2 cm × 3 cm × 4 cm B1 B1 for any where 2(ab + + = 52. a, b, c bc ac) B1 for two lengths ad where = 12 ab c e.g. base 2 cm, height 12 cm B1 base 4 cm, height 6 cm 5 17 Using angles on a straight line: angle ADB M1 2 M1 for finding using angles in triangle and creating an B x = 180° 2x equation – Using angles in a triangle in triangle ADB: + 34° + 180° 2x = 180° x – + 34° = 0 –x A1 A1 for = 34° = 34° x x Using angles in a triangle in triangle BCD: M1 M1 for using angles in a triangle to find angle BCD 2x + 74° +angle BCD(A) = 180° angle BCD(A) = 180° 2x 74° – – = 180° 68° 74° – – Angle BCA = 38° A1
15 Split the shape as shown in the diagram. Area = 3 × 2.5 – π(1.2)2+ 1 × 2 + 2 × 6.5 = 7.5 - 4.52389 + 2 + 13 = 17.97611 cm2 18.0 cm2 M1 M1 A1 A1 3 M1 for process of splitting shape up M1 for method of finding area of each part A1 for answer to at least 3 dp A1 for answer to either 0, 1 or 2 dp B 4 16 a b c e.g. 1 cm × 1 cm × 24 cm 1 cm × 2 cm × 12 cm 2 cm × 3 cm × 4 cm e.g. 2 cm × 3 cm × 4 cm e.g. base 2 cm, height 12 cm base 4 cm, height 6 cm B3 B1 B1 2 3 B1 for each cuboid with a volume of 24 cm3. B1 for any a, b, c where 2(ab + bc + ac) = 52. B1 for two lengths ad where ab = 12 B 5 17 Using angles on a straight line: angle ADB = 180° – 2x Using angles in a triangle in triangle ADB: x + 34° + 180° – 2x = 180° –x + 34° = 0 x = 34° Using angles in a triangle in triangle BCD: 2x + 74° +angle BCD(A) = 180° angle BCD(A) = 180° – 2x – 74° = 180° – 68° – 74° Angle BCA = 38° M1 A1 M1 A1 2 M1 for finding x using angles in triangle and creating an equation A1 for x = 34° M1 for using angles in a triangle to find angle BCD B
Foundation_Skills_Geometry%20MarkScheme_AQA.docx