Combinations

problem

Move a Match

Age

7 to 11

Challenge level

How can you arrange these 10 matches in four piles so that when you move one match from three of the piles into the fourth, you end up with the same arrangement?
problem

Painting Cubes

Age

11 to 14

Challenge level

Imagine you have six different colours of paint. You paint a cube using a different colour for each of the six faces. How many different cubes can be painted using the same set of six colours?
problem

Octa Space

Age

7 to 11

Challenge level

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?
problem

Homes

Age

5 to 7

Challenge level

Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?
problem

Red Express Train

Age

5 to 7

Challenge level

The Red Express Train usually has five red carriages. How many ways can you find to add two blue carriages?
problem

The School Trip

Age

5 to 7

Challenge level

Lorenzie was packing his bag for a school trip. He packed four shirts and three pairs of pants. "I will be able to have a different outfit each day", he said. How many days will Lorenzie be away?
problem

Fair Exchange

Age

5 to 7

Challenge level

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
problem

What Shape and Colour?

Age

5 to 7

Challenge level

Can you fill in the empty boxes in the grid with the right shape and colour?
problem

Three Block Towers

Age

5 to 7

Challenge level

Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?
problem

Snakes

Age

5 to 7

Challenge level

Explore the different snakes that can be made using 5 cubes.