## Fun Time

On Saturday, Asha and Kishan's grandad took them to a Theme Park.

In total they spent $\frac{1}{5}$ of the day queuing for rides.

They worked out that $\frac{3}{4}$ of the rest of their time there was spent enjoying the rides.

Of the time left, $\frac{1}{2}$ was spent having lunch.

The 3-d cinema show took up $\frac{2}{3}$ of the rest of the day.

Finally there were $10$ minutes left to go to the gift shop before they went home.

How long were Asha and Kishan at the Theme Park?

### Why do this problem?

This problem gives practice in calculating with fractions and encourages different ways of representing and recording.

### Key questions

What could you draw or write down to help you?

Have you tried working backwards?

What fraction of the total time for the cinema and shopping is the $10$ minutes of shopping?

So how long did they spend in total watching the film and shopping?

### Possible extension

Andy's Marbles is a similar problem which might make a good follow-up activity.

### Possible support

Fair Feast would be a good problem to try first if children find calculating with fractions difficult.