Follow this recipe for sieving numbers and see what interesting patterns emerge.

Can you find a relationship between the number of dots on the circle and the number of steps that will ensure that all points are hit?

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

Make a line of green and a line of yellow rods so that the lines differ in length by one (a white rod)

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Factors and Multiples game for an adult and child. How can you make sure you win this game?

All strange numbers are prime. Every one digit prime number is strange and a number of two or more digits is strange if and only if so are the two numbers obtained from it by omitting either. . . .

Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.

A man has 5 coins in his pocket. Given the clues, can you work out what the coins are?

A game in which players take it in turns to choose a number. Can you block your opponent?

An introduction to proof by contradiction, a powerful method of mathematical proof.