Working systematically

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?

Follow the clues to find the mystery number.

In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

Can you each work out what shape you have part of on your card? What will the rest of it look like?

How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?

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.

What could the half time scores have been in these Olympic hockey matches?

My dice has inky marks on each face. Can you find the route it has taken? What does each face look like?

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

Ben has five coins in his pocket. How much money might he have?