1. 1
   A survey found that $\frac{3}{8}$ of students walk to school, 0.35 of students cycle, and 27.5% of students take the bus.

   (a)

   Which activity is done by the greatest proportion of students?

   [1 mark]

   • ACannot tell
   • BCycle
   • CBus
   • DWalk

   (b)

   Convert 27.5% to a fraction in its simplest form.

   [1 mark]

   • A$\frac{5}{18}$
   • B$\frac{27}{100}$
   • C$\frac{11}{40}$
   • D$\frac{3}{11}$

   (c)

   Which decimal is equivalent to $\frac{3}{8}$?

   [1 mark]

   • A0.35
   • B0.375
   • C0.475
   • D0.8

   Total for question 1: 3 marks

2. 2
   A recipe requires $2\frac{1}{3}$ cups of flour to make one batch of cookies. A baker wants to make $1\frac{1}{2}$ batches.

   (a)

   Work out how many cups of flour the baker needs in total.

   [2 marks]

   (b)

   The baker has 5 cups of flour. Find how many cups remain after baking.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A student is practising converting recurring decimals into fractions in their simplest form.

   (a)

   Convert the recurring decimal $0.\overline{6}$ to a fraction in its simplest form.

   [3 marks]

   (b)

   Convert the recurring decimal $0.1\overline{7}$ to a fraction in its simplest form.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A decorator has $\frac{5}{6}$ of a tin of paint. She uses $\frac{2}{5}$ of this tin on the first wall, then a further $\frac{1}{4}$ of the original full tin on the second wall.

   (a)

   Find how much paint, as a fraction of a full tin, the decorator used on the first wall.

   [4 marks]

   (b)

   Find the total fraction of a full tin used on both walls.

   [4 marks]

   (c)

   Find the fraction of a full tin of paint remaining, giving your answer in its simplest form, and state whether there is enough remaining paint to cover a third wall requiring $\frac{1}{6}$ of a tin.

   [5 marks]

   Total for question 4: 13 marks

End of questions