Combinations

This activity investigates how you might make squares and pentominoes from Polydron.

This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.

This challenge extends the Plants investigation so now four or more children are involved.

How many ways can you find of tiling the square patio, using square tiles of different sizes?

Use the clues to work out which cities Mohamed, Sheng, Tanya and Bharat live in.

Using all ten cards from 0 to 9, rearrange them to make five prime numbers. Can you find any other ways of doing it?

In this challenge, buckets come in five different sizes. If you choose some buckets, can you investigate the different ways in which they can be filled?

To win on a scratch card you have to uncover three numbers that add up to more than fifteen. What is the probability of winning a prize?

In the planet system of Octa the planets are arranged in the shape of an octahedron. How many different routes could be taken to get from Planet A to Planet Zargon?

I start my journey in Rio de Janeiro and visit all the cities as Hamilton described, passing through Canberra before Madrid, and then returning to Rio. What route could I have taken?