Working Answer Mark AO Notes Grade Question 1 a 1 6 : 1 No M1 2 M1 for demonstrating an understanding of each ratio in B : 6 ≠ because 1 : 6 = 6 : 36 (×6) its unitary form as a method of comparison, oe Or 6:1 = 1: (÷6) 19 : 95 b = 1 × 19 : 5 × 19 19 : 95 (÷19) B1 B1 for calculation showing cancelling = 1 : 5 1 : 5 B1 for an understanding of scale and equivalence of c No, because the units must be the same B1 units in order to compare B: G B1 for reference to multiples of 7 2 : 5 d No, to retain this ratio requires 2 boys B1 4 : 10 and 5 girls each time, so 7 students. This 6 : 15 (21 students) means that there can only be multiples of 7 : 17.5 (not possible) 7 students in the club. 8 : 20 (28 students) 24 is not a multiple of 7. 4 2 a Packs of 3: 6 packs of 15. B1 2 B1 for correct combination to 90 B 90 ÷ 3 = 30 6 packs of 15 for £30. B1 B1 for correct cost 30 packs cost 30 × £1.50 = £45 Packs of 15: 90 ÷ 15 = 6 6 packs cost 6 × £5= £30 Packs of 25: Not possible, because 90 is not divisible by 25. B1 for a method for calculating of the cost b Buy 2 get one free on packs of 15. No, still buy 6 packs of 15 but now for the B1 B1 for correct justification of choice Buy two packs of 15 for £10 lower price of £20. Get a pack of 15 free. B1 45 will cost £20. So new cost = £20 Or (3 × 15) + (3 × 15) = 90 £10 + £10 = £20 4
Question Working Answer Mark AO Notes Grade 1 a b c d 1 : 6 ≠ 6 : 1 because 1 : 6 = 6 : 36 (×6) Or 6:1 = 1: (÷6) 19 : 95 = 1 × 19 : 5 × 19 = 1 : 5 B: G 2 : 5 4 : 10 6 : 15 (21 students) 7 : 17.5 (not possible) 8 : 20 (28 students) No 19 : 95 (÷19) 1 : 5 No, because the units must be the same in order to compare No, to retain this ratio requires 2 boys and 5 girls each time, so 7 students. This means that there can only be multiples of 7 students in the club. 24 is not a multiple of 7. M1 B1 B1 B1 2 M1 for demonstrating an understanding of each ratio in its unitary form as a method of comparison, oe B1 for calculation showing cancelling B1 for an understanding of scale and equivalence of units B1 for reference to multiples of 7 B 4 2 a b Packs of 3: 90 ÷ 3 = 30 30 packs cost 30 × £1.50 = £45 Packs of 15: 90 ÷ 15 = 6 6 packs cost 6 × £5= £30 Packs of 25: Not possible, because 90 is not divisible by 25. Buy 2 get one free on packs of 15. Buy two packs of 15 for £10 Get a pack of 15 free. 45 will cost £20. So new cost = £20 Or (3 × 15) + (3 × 15) = 90 £10 + £10 = £20 6 packs of 15. 6 packs of 15 for £30. No, still buy 6 packs of 15 but now for the lower price of £20. B1 B1 B1 B1 2 B1 for correct combination to 90 B1 for correct cost B1 for a method for calculating of the cost B1 for correct justification of choice B 4
Higher_Skills_Ratio_MarkScheme_AQA.docx