Challenge Level

What shapes can be made by folding an A4 sheet of paper only once?

Challenge Level

Mark writes four points on a line at different lengths. What is the distance between the two points furthest apart?

Challenge Level

These four touching circles have another circle hiding amongst them...

Challenge Level

An equilateral triangle is rolled along a line. What is the length of the path traced out by one of its vertices?

Challenge Level

How many triangles can Jack draw with two sides of lengths $6$cm and $8$cm and an area of $7$cm$^2$?

Challenge Level

A disc with a pencil inside it is rolled around the outside and inside of a wire equilateral triangle. What shape is drawn by the pencil?

Challenge Level

The white square slides once around the pink square. Through what distance does the point P on the white square move?

Challenge Level

A snail is at the corner of a cube. What proportion of the cube's surface can the snail reach within an hour?