Working systematically

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

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

This challenge involves calculating the number of candles needed on birthday cakes. It is an opportunity to explore numbers and discover new things.

If you had 36 cubes, what different cuboids could you make?

These two group activities use mathematical reasoning - one is numerical, one geometric.

If you have three circular objects, you could arrange them so that they are separate, touching, overlapping or inside each other. Can you investigate all the different possibilities?

How many triangles can you make on the 3 by 3 pegboard?

The challenge here is to find as many routes as you can for a fence to go so that this town is divided up into two halves, each with 8 blocks.

In this investigation, you must try to make houses using cubes. If the base must not spill over 4 squares and you have 7 cubes which stand for 7 rooms, what different designs can you come up with?

A thoughtful shepherd used bales of straw to protect the area around his lambs. Explore how you can arrange the bales.