### Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

### I'm Eight

Find a great variety of ways of asking questions which make 8.

### Sweets in a Box

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

# Ordering Cards

## Ordering Cards

Look at these cards.

Can you sort them so that they follow round in a loop?

Here is a card from a different set.

### Why do this problem?

This problem is designed to help children to learn, and to use, the two and three times tables.

### Possible approach

You could print out this sheet and cut it into the twelve separate cards and give these to the group to work on in pairs, so that they are able to talk through their ideas with a partner.

The cards should form a loop so it does not matter which card is used to start. If you want to make the loop longer, or make your own loop, you could download these similar but blank cards.

If you lengthen the loop you will need to take out one card and replace it with your new ones. Avoid repeating a number which has been used already and multiplying and then immediately dividing by the same number.