5 a 1%, by dividing by 100 M1 2 M1 for method of finding a percentage B Then multiply that figure by the percentage needed. E.g. find 8% of £32 B2 B1 for first example 32 ÷ 100 = 0.32 B1 dep for second example 0.32 × 8 = 2.56 So 8% of £32 is £2.56 b 20% is 2 × 10% or so need to divide by B1 B1 for clear explanation 10 then multiply by 2 Or divide by 5. 4 6 a Look for common factors. B1 2 B1 for clear explanation B When there are no common B1 B1 for clear explanation factors, it’s in its simplest form. b e.g. start with the ratio 12 : 18 B1 B1 for having a satisfactory example Common factors are 2, 3 and 6 Dividing the ration by 6 gives 2 : 3 B1 B1 for the accompanying explanation 2 and 3 have no common factors, so you know that it is in its simplest form. 4 7 7 4 = 3 M1 3 M1 for method of sorting the ratios B – So 3 parts = £120 B1 B1 for finding 3 parts = 120 120 ÷ 3 = 40 M1 M1 dividing by 3 So one part = £40 A1 A1 cao So Peter got 2 × £40 = £80 £80 A1 A1 cao 5
5 a b 1%, by dividing by 100 Then multiply that figure by the percentage needed. E.g. find 8% of £32 32 ÷ 100 = 0.32 0.32 × 8 = 2.56 So 8% of £32 is £2.56 20% is 2 × 10% or so need to divide by 10 then multiply by 2 Or divide by 5. M1 B2 B1 2 M1 for method of finding a percentage B1 for first example B1 dep for second example B1 for clear explanation B 4 6 a b Look for common factors. When there are no common factors, it’s in its simplest form. e.g. start with the ratio 12 : 18 Common factors are 2, 3 and 6 Dividing the ration by 6 gives 2 : 3 2 and 3 have no common factors, so you know that it is in its simplest form. B1 B1 B1 B1 2 B1 for clear explanation B1 for clear explanation B1 for having a satisfactory example B1 for the accompanying explanation B 4 7 7 – 4 = 3 So 3 parts = £120 120 ÷ 3 = 40 So one part = £40 So Peter got 2 × £40 = £80 £80 M1 B1 M1 A1 A1 3 M1 for method of sorting the ratios B1 for finding 3 parts = 120 M1 dividing by 3 A1 cao A1 cao B 5