Counting

problem

Spelling Circle

Age

7 to 11

Challenge level

2 out of 3

Find the words hidden inside each of the circles by counting around a certain number of spaces to find each letter in turn.
problem

Picture a Pyramid

Age

7 to 11

Challenge level

2 out of 3

Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?
problem

Truth or Lie

Age

7 to 11

Challenge level

2 out of 3

Take a look at the video of this trick. Can you perform it yourself? Why is this maths and not magic?
problem

Some Secret Codes

Age

7 to 11

Challenge level

3 out of 3

Can you follow the rule to decode the messages?
problem

Slippery Snail

Age

7 to 16

Challenge level

2 out of 3

A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.
problem

How Many Dice?

Age

11 to 14

Challenge level

1 out of 3

A standard die has the numbers 1, 2 and 3 are opposite 6, 5 and 4 respectively so that opposite faces add to 7? If you make standard dice by writing 1, 2, 3, 4, 5, 6 on blank cubes you will find there are 2 and only 2 different standard dice. Can you prove this ?
problem

Euromaths

Age

11 to 14

Challenge level

1 out of 3

How many ways can you write the word EUROMATHS by starting at the top left hand corner and taking the next letter by stepping one step down or one step to the right in a 5×5 array?
problem

Loose Change

Age

11 to 14

Challenge level

1 out of 3

In how many ways can you give change for a ten pence piece?
problem

Colourful Tiles

Age

11 to 14

Challenge level

1 out of 3

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

Cube Paths

Age

11 to 14

Challenge level

2 out of 3

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