1. 1
   A recipe for fruit punch uses squash and water in the ratio $2:5$. A chef makes 21 litres of punch in total.

   (a)

   How many litres of squash are needed?

   [1 mark]

   • A3 litres
   • B6 litres
   • C9 litres
   • D15 litres

   (b)

   How many litres of water are needed for the same 21 litres of punch?

   [1 mark]

   • A12 litres
   • B14 litres
   • C15 litres
   • D18 litres

   (c)

   The chef wants to make 35 litres of punch using the same ratio. How many litres of squash are needed?

   [1 mark]

   • A7 litres
   • B9 litres
   • C10 litres
   • D12 litres

   Total for question 1: 3 marks

2. 2
   A traveller changes £250 into US dollars at an exchange rate of £1 = $1.28.

   (a)

   Calculate how many dollars she receives.

   [2 marks]

   (b)

   On her return trip, the traveller changes $150 back into pounds at a rate of £1 = $1.25.
   
   Calculate how many pounds she receives, to the nearest penny.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A supermarket sells rice in two sizes: a 3 kg bag for £4.50, and a 5 kg bag for £7.00.

   (a)

   Calculate the price per kg for each bag size, and state which is the better buy.

   [3 marks]

   (b)

   The supermarket also sells a 2 kg bag of the same rice for £3.20. A customer needs exactly 10 kg of rice and can only use 5 kg and 2 kg bags, in any combination.
   
   Find the combination that uses the fewest bags, and calculate the minimum total cost.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   Three business partners, Amara, Ben and Chen, invest in a company in the ratio $3:4:5$. The company makes a profit of £14,400 in its first year, to be shared in this ratio.

   (a)

   Calculate each partner's share of the profit.

   [4 marks]

   (b)

   In the second year, the company makes a profit of £18,000, and the partners decide to share it in the ratio $2:3:4$ instead.
   
   Calculate the increase in Chen's share of profit compared to year one.

   [4 marks]

   (c)

   The partners combine their total profit from both years (£14,400 + £18,000 = £32,400) and reinvest it into a savings account paying compound interest at 4% per annum.
   
   Calculate the total value of the investment after 3 years, giving your answer to the nearest pound.

   [5 marks]

   Total for question 4: 13 marks

End of questions