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.

Prove that the area of a quadrilateral is given by half the product of the lengths of the diagonals multiplied by the sine of the angle between the diagonals.

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...