Working systematically

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?

Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

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

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?

There were cola bottles for 2p, mini eggs for 3p, marshmallow twists for 5p and lollipops for 7p in the sweet shop. What could each of the children buy with their money?