Working systematically

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.

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?

Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?

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

How many possible symmetrical necklaces can you find? How do you know you've found them all?

Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?

Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.