Counting

problem
Colourful tiles

Age

11 to 14

Challenge level

Weekly Problem 21 - 2011
How many ways can you paint this wall with four different colours?
problem
Card trick 2

Age

11 to 14

Challenge level

Can you explain how this card trick works?
problem
Cube paths

Age

11 to 14

Challenge level

Given a 2 by 2 by 2 skeletal cube with one route `down' the cube. How many routes are there from A to B?
problem
Voting paradox

Age

14 to 18

Challenge level

Some relationships are transitive, such as `if A>B and B>C then it follows that A>C', but some are not. In a voting system, if A beats B and B beats C should we expect A to beat C?
problem
Alien counting

Age

7 to 11

Challenge level

Investigate the different ways these aliens count in this challenge. You could start by thinking about how each of them would write our number 7.
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
Cunning card trick

Age

11 to 14

Challenge level

Delight your friends with this cunning trick! Can you explain how it works?
problem
Digit deletion

Age

11 to 14

Challenge level

What is the largest number of digits that could be erased from this 1000-digit number, to get a surprising result?
eyfs_activity
Hidden jewels

Age

3 to 5

In this 'hide and reveal' game, children are encouraged to say the number of gems without counting them.
eyfs_activity
Baskets

Age

3 to 5

This activity encourages children to practise their sharing and counting skills by putting small objects into some baskets.