The exchange rate is £1 = 1.65 Swiss francs. Work out whether Reblochon cheese is better value for money in Switzerland or in England. *10.4 Soap powder is sold in three sizes of box. A 2 kg box of soap powder costs £1.89 A 5 kg box of soap powder costs £4.30 A 9 kg box of soap powder costs £8.46 Which size of box is the best value for money? Explain your answer. You must show all your working. 11.1 Work out an estimate for 11.2 Work out an estimate for the value of . (a) Simplify 4b × 2c 12.1 (1) (b) Expand 3(2w 5t) – (2) (c) Expand and simplify (x + 7)(x 2) – [Grade C] (2) (a) Simplify 2e 8f + 6e + 3f 12.2 – (2) (b) Factorise 4t + 10 [Grade C] (1) (c) Expand and simplify 3 + 2( 1) p – (2) (d) Factorise + ax+ bx+ ay by [Grade B] (2) 12.3 Here are the first five terms of an arithmetic sequence. 4 11 18 25 32 (a) Write down, in terms of an expression for the term of this sequence. n, nth (2) An expression for the term of another sequence is 3n2 1 nth – (b) Find the fourth term of this sequence. (2) 12.4 A taxi company uses this formula to calculate taxi fares. = 7d2 + 320 f wheref is the taxi fare, in pence, and is the distance travelled, in km. d Aziz uses this taxi company to travel a distance of 8 km. Work out the taxi fare. 12.5 = 5y t x2 – = 6 x = 4 y Work out the value of t.
The exchange rate is £1 = 1.65 Swiss francs. Work out whether Reblochon cheese is better value for money in Switzerland or in England. *10.4 Soap powder is sold in three sizes of box. A 2 kg box of soap powder costs £1.89 A 5 kg box of soap powder costs £4.30 A 9 kg box of soap powder costs £8.46 Which size of box is the best value for money? Explain your answer. You must show all your working. 11.1 Work out an estimate for 11.2 Work out an estimate for the value of . 12.1 (a) Simplify 4b × 2c (1) (b) Expand 3(2w – 5t) (2) (c) Expand and simplify (x + 7)(x – 2) [Grade C] (2) 12.2 (a) Simplify 2e – 8f + 6e + 3f (2) (b) Factorise 4t + 10 [Grade C] (1) (c) Expand and simplify 3 + 2( p – 1) (2) (d) Factorise ax+ bx+ ay + by [Grade B] (2) 12.3 Here are the first five terms of an arithmetic sequence. 4 11 18 25 32 (a) Write down, in terms of n, an expression for the nth term of this sequence. (2) An expression for the nth term of another sequence is 3n2 – 1 (b) Find the fourth term of this sequence. (2) 12.4 A taxi company uses this formula to calculate taxi fares. f = 7d2 + 320 wheref is the taxi fare, in pence, and d is the distance travelled, in km. Aziz uses this taxi company to travel a distance of 8 km. Work out the taxi fare. 12.5 t = x2 – 5y x = 6 y = 4 Work out the value of t.