Can you sort these triangles into three different families and explain how you did it?

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

How many different triangles can you make on a circular pegboard that has nine pegs?

How much do you have to turn these dials by in order to unlock the safes?

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

How many symmetric designs can you make on this grid? Can you find them all?

Can you place the blocks so that you see the reflection in the picture?

This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.