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Revision Test 2: Indices, units, calculator and evaluation of formulae

R3 when R1 = 3.6 k, R2 = 7.2 k and

R3 = 13.6 k. (3)

18. Evaluate 6 2 7

− 45 9

as a mixed number and as a decimal, correct to 3 decimal places. (3)

19. Evaluate, correct to 3 decimal places:√[ 2e1.7 × 3.673 4.61 × √3π

] (3)

20. If a = 0.270, b = 15.85, c = 0.038, d = 28.7 and e = 0.680, evaluate v correct to 3 significant figures, given that: v =

√( ab c

− d e

) (4)

21. Evaluate the following, each correct to

2 decimal places: (a) (

36.22 × 0.561 27.8 × 12.83

)3

(b) √(

14.692√ 17.42 × 37.98

) (4)

22. If 1.6 km = 1 mile, determine the speed of 45 miles/hour in kilometres per hour. (2)

23. The area A of a circle is given by A = πr2. Find the area of a circle of radius r = 3.73 cm, correct to 2 decimal places. (3)

24. Evaluate B, correct to 3 significant figures, when W = 7.20, v = 10.0 and g = 9.81, given that B = Wv

2g (3)