30 C2 2 C1 for diagram illustrating how angles found at A and B M C1 for complete triangle drawn, showing all relevant Angle at A is 90° + (360° 330°) = 120° data – Angle at B is 290° 270° = 20° – Angle at S is 180° (120° + 20°) = 40° – Use the sine rule. = = 15 × x = 7.981 33 B1 B1 for 120° B1 B1 for 20° B1 B1 for 40° M1 M1 for use of sine rule 8.0 km A1 A1 for correct answer rounded to 1, 2 or 3 sf 7 31 a Sometimes true. C1 2 C1 for sometimes true M b It is not true if the number of individual C1 C1 for clear explanation for when not true cubes has fewer than 3 factors, including 1 and itself, for example, you cannot do it with 7 cubes (factors 1 and 7) You can only make one cuboid if the C1 C1 for clear explanation for when only 1 cuboid could be number of factors, including 1 is equal made to 3, for example, with 21 cubes (factors 1, 3 and 7). c You can make more than one cuboid if C1 C1 for clear explanation for when more than 1 cuboid the number of cubes has more than 3 could be made factors not including itself, for example, C1 C1 for use of examples to illustrate the explanations 30 (factors 1, 2, 3 and 5). 5
30 Angle at A is 90° + (360° – 330°) = 120° Angle at B is 290° – 270° = 20° Angle at S is 180° – (120° + 20°) = 40° Use the sine rule. = x = 15 × = 7.981 33 8.0 km C2 B1 B1 B1 M1 A1 2 C1 for diagram illustrating how angles found at A and B C1 for complete triangle drawn, showing all relevant data B1 for 120° B1 for 20° B1 for 40° M1 for use of sine rule A1 for correct answer rounded to 1, 2 or 3 sf M 7 31 a b c Sometimes true. It is not true if the number of individual cubes has fewer than 3 factors, including 1 and itself, for example, you cannot do it with 7 cubes (factors 1 and 7) You can only make one cuboid if the number of factors, including 1 is equal to 3, for example, with 21 cubes (factors 1, 3 and 7). You can make more than one cuboid if the number of cubes has more than 3 factors not including itself, for example, 30 (factors 1, 2, 3 and 5). C1 C1 C1 C1 C1 2 C1 for sometimes true C1 for clear explanation for when not true C1 for clear explanation for when only 1 cuboid could be made C1 for clear explanation for when more than 1 cuboid could be made C1 for use of examples to illustrate the explanations M 5
Higher_Skills_Geometry_MarkScheme_Edexcel.docx