How can these shapes be cut in half to make two shapes the same shape and size? Can you find more than one way to do it?

What mathematical words can be used to describe this floor covering? How many different shapes can you see inside this photograph?

Have you ever noticed the patterns in car wheel trims? These questions will make you look at car wheels in a different way!

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?

What shaped overlaps can you make with two circles which are the same size? What shapes are 'left over'? What shapes can you make when the circles are different sizes?

Use the isometric grid paper to find the different polygons.

The image in this problem is part of a piece of equipment found in the playground of a school. How would you describe it to someone over the phone?

What shape and size of drinks mat is best for flipping and catching?

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.

Read about David Hilbert who proved that any polygon could be cut up into a certain number of pieces that could be put back together to form any other polygon of equal area.