Angles - points, lines and parallel lines

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

This problem explores the shapes and symmetries in some national flags.

An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

Weekly Problem 44 - 2010
Extend two of the sides of a nonagon to form an angle. How large is this acute angle?

Weekly Problem 39 - 2010
If you know three lengths and an angle in this diagram, can you find another angle by calculation?

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.

This diagram has symmetry of order four. Can you use different geometric properties to find a particular length?

Why does this fold create an angle of sixty degrees?