Fractions: add, subtract, multiply and divide – Year 6 maths test to download as PDF

1. Simplify \(\frac{28}{42}\).
2. Write \(\frac{3}{4}\) as a fraction with a denominator of 20.
3. Which is bigger, \(\frac{7}{10}\) or \(\frac{3}{4}\)? Show your working.

1. Work out \(\frac{2}{5}+\frac{3}{10}\).
2. Work out \(\frac{7}{8}-\frac{1}{3}\).
3. Work out \(2\frac{2}{3}+1\frac{3}{4}\).
4. Work out \(4\frac{1}{6}-1\frac{2}{3}\).

1. Work out \(\frac{3}{5}\times\frac{5}{9}\).
2. Find \(\frac{5}{8}\) of 72.
3. Work out \(\frac{3}{4}\div6\).
4. Work out \(2\frac{1}{4}\times\frac{2}{3}\).

Lily bakes a cake. Her family eats \(\frac{3}{8}\) of the cake on Saturday and \(\frac{1}{4}\) of the cake on Sunday.

1. What fraction of the cake has been eaten altogether?
2. What fraction of the cake is left?
3. Lily gives \(\frac{1}{3}\) of the cake that is left to her neighbour. What fraction of the whole cake does the neighbour get?

A charity organises a fun run. There are 240 runners. \(\frac{3}{8}\) of the runners are children, \(\frac{1}{4}\) are teenagers and the rest are adults.

1. What fraction of the runners are adults?
2. How many children are running?
3. \(\frac{2}{5}\) of the adults finish in under 30 minutes. How many adults is that?
4. The charity raises £2.50 for each runner. \(\frac{3}{5}\) of the money goes to a hospital. How much money goes to the hospital?