29 M1 2 M1 for choosing a starting a position, either a variable H × 0.8n < B such as or a specific amount such as £100 B Divide both sides by B. 0.8n < M1 M1 for working through the weeks in some way 0.83 = 0.512 M1 M1 for the process of finding amounts for weeks 3 and 0.84 = 0.4096 4 to show the point at which the bank account first dips OR below 50% of the original balance £100 × 0.8 =£80 £80 × 0.8 = £64 £64 × 0.8 = £51.20 £51.20 × 0.8 = £40.96 4 weeks A1 cao 4 30 graph d B6 2 B1 for each correctly identified graph with reference to H graph e why, for example: graph b f(x) is graph d as points are (–2, 4), (–1, 1), x2 graph c (0, 0), (1, 1), (2, 4) and it is a parabola graph f f(x) = 2x , >0 f(x) = , < 0 is graph e as it is x x –2x graph a linear and has no negative f(x) values; the gradient is 2 and –2 6 31 a Inverse proportion describes the B1 2 B1 for clear explanation of inverse proportion H relationship between two variables such that as one increases the other decreases. b = y M1 M1 for correct equation = xy k = where is the constant of xy k k or = proportionality y c Own problem, for example: It takes 5 men 10 days to dig a hole. The number A1 A1 for clear question of men, is inversely proportional to the y, number of days, How long would it x. take for ten men to dig the same hole? (5 days) 3
29 B × 0.8n < Divide both sides by B. 0.8n < 0.83 = 0.512 0.84 = 0.4096 OR £100 × 0.8 =£80 £80 × 0.8 = £64 £64 × 0.8 = £51.20 £51.20 × 0.8 = £40.96 4 weeks M1 M1 M1 A1 2 M1 for choosing a starting a position, either a variable such as B or a specific amount such as £100 M1 for working through the weeks in some way M1 for the process of finding amounts for weeks 3 and 4 to show the point at which the bank account first dips below 50% of the original balance cao H 4 30 graph d graph e graph b graph c graph f graph a B6 2 B1 for each correctly identified graph with reference to why, for example: f(x) x2 is graph d as points are (–2, 4), (–1, 1), (0, 0), (1, 1), (2, 4) and it is a parabola f(x) = 2x , x >0 f(x) = –2x , x < 0 is graph e as it is linear and has no negative f(x) values; the gradient is 2 and –2 H 6 31 a b c y = xy = k where k is the constant of proportionality Inverse proportion describes the relationship between two variables such that as one increases the other decreases. xy = k or y = Own problem, for example: It takes 5 men 10 days to dig a hole. The number of men, y, is inversely proportional to the number of days, x. How long would it take for ten men to dig the same hole? (5 days) B1 M1 A1 2 B1 for clear explanation of inverse proportion M1 for correct equation A1 for clear question H 3
Higher_Skills_Ratio_MarkScheme_AQA.docx