Working systematically

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

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

This task encourages you to investigate the number of edging pieces and panes in different sized windows.

Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?

This task challenges you to create symmetrical U shapes out of rods and find their areas.

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

Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.