Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

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

There are nasty versions of this dice game but we'll start with the nice ones...

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

Five children are taking part in a climbing competition with three parts, where their score for each part will be multiplied together. Can you see how the leaderboard will change depending on what happens in the final climb of the competition?