1. 1
   A recipe book states that a fruit cake requires $\frac{5}{8}$ of a bag of flour, a chocolate cake requires $\frac{7}{12}$ of a bag of flour, and a sponge cake requires $\frac{9}{16}$ of a bag of flour.

   (a)

   The fruit cake's fraction, $\frac{5}{8}$, can also be written as $\frac{n}{24}$. What is the value of $n$?

   [1 mark]

   • A$n = 10$
   • B$n = 15$
   • C$n = 20$
   • D$n = 12$

   (b)

   Convert the chocolate cake's fraction, $\frac{7}{12}$, to a decimal, correct to 3 decimal places.

   [1 mark]

   • A$0.700$
   • B$0.617$
   • C$0.583$
   • D$0.512$

   (c)

   Which cake requires the greatest amount of flour?

   [1 mark]

   • AAll three require the same amount
   • BChocolate cake
   • CSponge cake
   • DFruit cake

   Total for question 1: 3 marks

2. 2
   Two long-distance runners, Ama and Ben, each start a race with $\frac{4}{5}$ of a litre of energy drink. Ama drinks $\frac{2}{3}$ of her bottle during the first hour. Ben drinks $\frac{3}{4}$ of his bottle during the first hour.

   (a)

   Work out how many litres of energy drink Ama drinks in the first hour. Give your answer as a fraction in its simplest form.

   [2 marks]

   (b)

   Work out how many litres of energy drink Ben has left after the first hour. Give your answer as a fraction in its simplest form.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A charity recorded that $0.\overline{6}$ of its donations last month came from regular givers, while $\frac{5}{9}$ of donations the previous month came from regular givers.

   (a)

   Show that $0.\overline{6}$ is equivalent to $\frac{2}{3}$.

   [3 marks]

   (b)

   Hence show that the fraction of donations from regular givers increased from $\frac{5}{9}$ to $\frac{2}{3}$, and find the increase as a fraction in its simplest form.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A water tank holds 360 litres when full. At the start of the day the tank is $\frac{7}{8}$ full. During the morning, $\frac{2}{5}$ of the water in the tank is used for irrigation. In the afternoon, a further $\frac{1}{3}$ of the water remaining after the morning is used for cleaning.

   (a)

   Work out how many litres of water are in the tank at the start of the day.

   [4 marks]

   (b)

   Work out how many litres of water are used for irrigation in the morning, and how many litres remain in the tank after the morning.

   [4 marks]

   (c)

   Work out how many litres are used for cleaning in the afternoon, and hence find what fraction of the tank's full capacity (360 litres) remains at the end of the day. Give your answer as a fraction in its simplest form.

   [5 marks]

   Total for question 4: 13 marks

End of questions