1 £12000

2 2.4 x 10⁵

3 x < ²/₃

4 35.5 km (to 3 s f)

5 T = ¹/₂ S - 2

6 (3x + 1)(x - 2)

7 (a) £26.95 (b) C = 0.35t + 12.25

8 (a) 3, 7, 10 (b) proof (c) proof involving 4(2p+3q) = 8p+12q

9 368 cm (to 3 sf) or 90 + 602

10 0.45 m³

11 2.7 litres ( scale factor is 1.5³)

12 221.8° or 318.2°

13 (a) 2x + 3y = 580 (b) x + y = 250 (c) 170

14 9.38 metres

15 (a) proof (b) proof (c) 3 m² (when x=1)

16 (a) 42 (b) a^-3 + 4a² (c) x³ + x² - 10x + 8

17 (a) 32.7 metres (b) proof ( calculated value is 23.144...)

18 (a) 81 (b) x = ³/₂

19 (a) in each case d / t² is a constant 5 (b) d = 5t² (c) multiplied by 36

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