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A picture is made by joining five small quadrilaterals together to make a large quadrilateral. Is it possible to draw a similar picture if all the small quadrilaterals are cyclic?

Can you rotate a curve to make a volume of 1?

Invent a set of three dice where each one is better than one of the others?

What shape is made when you fold using this crease pattern? Can you make a ring design?

Use this information to work out whether the front or back wheel of this bicycle gets more wear and tear.

Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?

Try to picture these buildings of cubes in your head. Can you make them to check whether you had imagined them correctly?

P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?

How many different colours of paint would be needed to paint these pictures by numbers?

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.