### 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?

# Inside Seven Squares

##### Stage: 2 Challenge Level:

 Seven squares are set inside each other. The centre points of each side of the outer square are joined to make a smaller square inside it and so on. The centre square has the area of $1$ (one) square unit. What is the total area of the four outside triangles which are outlined in red? This problem is also available in French: Les 7 carrés