### Geoboards

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

### Tiles on a Patio

How many ways can you find of tiling the square patio, using square tiles of different sizes?

### 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?

# Making Boxes

##### Stage: 2 Challenge Level:

How big is the base/bottom of this box?
How high are the sides?
So how much does it hold?

It might be useful to print out this $15 \times15$ square.