A1 A1 for gradient from points on the straight line 5 37 a £28 000 × 1.053 = £32 413.50 £32 413.50 B1 2 B1 for identification and use of multiplier H b £14 500 × 1.05n > £ 20 000 = 1.4 Try = 7 years. n £14 500 × 1.057 = £20 402.96 M1 M1 for trial and improvement or reasoning to try 7 years 7 years A1 A1 cao 3 38 Sycamore: 12 years M1 2 M1 for correct calculation method to find heights of H 4 × 1.0811 = 9.327 After 11 years, the sycamore is 9.326 m trees 4 × 1.0812 = 10.073 tall and the conifer is 9.305 m tall. After M1 M1 for clarity of final reasoning Conifer: 12 years, the sycamore is 10.073 m tall A1 A1 for finding all four heights after 11 and 12 years 2 × 1.1511 = 9.305 and the conifer is 10.7 m tall. 2 × 1.1512 = 10.7 3
A1 A1 for gradient from points on the straight line 5 37 a b £28 000 × 1.053 = £32 413.50 £14 500 × 1.05n > £ 20 000 = 1.4 Try n = 7 years. £14 500 × 1.057 = £20 402.96 £32 413.50 7 years B1 M1 A1 2 B1 for identification and use of multiplier M1 for trial and improvement or reasoning to try 7 years A1 cao H 3 38 Sycamore: 4 × 1.0811 = 9.327 4 × 1.0812 = 10.073 Conifer: 2 × 1.1511 = 9.305 2 × 1.1512 = 10.7 12 years After 11 years, the sycamore is 9.326 m tall and the conifer is 9.305 m tall. After 12 years, the sycamore is 10.073 m tall and the conifer is 10.7 m tall. M1 M1 A1 2 M1 for correct calculation method to find heights of trees M1 for clarity of final reasoning A1 for finding all four heights after 11 and 12 years H 3
Higher_Skills_Ratio_MarkScheme_AQA.docx