1 Convert to scientific notation: (a) 254 000 000 (b) 0.000 005 (c) 347 000 x 25 000 (d)
2 Find (a) (b) 5 + 42 x (c) (d)
3 Calculate, giving your answer in scientific notation
(a) 3.2 x 105 x 6.7 x 107(b) 5 x 108 x 2.2 x 10-3(c) (d)
4 If 1 kg = 2¼ pounds convert these to pounds: (a) ½kg(b) 3¾kg(c) 15 kg(d) 200kg
NC 5 Find, giving your answers in simplest form:(a) (b)
(c) (d) (e)
NC 6 If a = 3, b= -4 and c = -2 Find: (a) b + c2-ab (b) (c)
7 Simplify (a) -3(6 - t) -5t(b) 10 -5(3x +2)(c) (4x+7)(3x-5)
(d) (x-4)(x2 + 4x -3)(e) (x-5)2(f) (5a -6b)2(g) (2m+4)2 - (m-1)2
8 Green paint is made by mixing yellow and blue paint in the ratio 3:4 .
(a) How much of each would be needed to make 350 litres?
(b) If Jane had 26 litres of blue paint how much yellow would she need to make green?
9 Five friends won 6.45 x 106 . They decided to split it in the ratio 6:5:2:4:3. How much does each friend receive?
10 Mr Biggs receives a 20% no claims discount from his car insurance company. He pays £450. How much was his premium before discount?
11 Amber invests £2000 in account paying 3.75% interest per annum. How much will she have after 4 years?
12 The Green family buy a house for £55 000 and 3 years later sell it for £87 000. Calculate their profit as a percentage of the cost price.
13 Factorise
(a) 6st – t2(b) 16 – x2(c) 4x2 – 36(d) x2+9x+20
(e) x2- 10x+16(f) x2 – 4x –12(g) 3a2 + 7a +2(h) 4x2 – 8x + 3
(i) 6 – 5x – 6x2