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

Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?

What is the remainder when 2^2002 is divided by 7? What happens with different powers of 2?

A garrison of 600 men has just enough bread ... but, with the news that the enemy was planning an attack... How many ounces of bread a day must each man in the garrison be allowed, to hold out 45. . . .

A mathematician goes into a supermarket and buys four items. Using a calculator she multiplies the cost instead of adding them. How can her answer be the same as the total at the till?

When the number x 1 x x x is multiplied by 417 this gives the answer 9 x x x 0 5 7. Find the missing digits, each of which is represented by an "x" .

Learn how to use advanced pasting techniques to create interactive spreadsheets.

Learn how to use increment buttons and scroll bars to create interactive Excel resources.

Learn how to make a simple table using Excel.

Investigate factors and multiples using this interactive Excel spreadsheet. Use the increment buttons for experimentation and feedback.

This investigation uses Excel to optimise a characteristic of interest.

Can you convince me of each of the following: If a square number is multiplied by a square number the product is ALWAYS a square number...

Can you prove this formula for finding the area of a quadrilateral from its diagonals?