Take ten sticks in heaps any way you like. Make a new heap using one from each of the heaps. By repeating that process could the arrangement 7 - 1 - 1 - 1 ever turn up, except by starting with it?

How much peel does an apple have?

Take any pair of numbers, say 9 and 14. Take the larger number, fourteen, and count up in 14s. Then divide each of those values by the 9, and look at the remainders.

Your school has been left a million pounds in the will of an ex- pupil. What model of investment and spending would you use in order to ensure the best return on the money?

The diagram illustrates the formula: 1 + 3 + 5 + ... + (2n - 1) = n² Use the diagram to show that any odd number is the difference of two squares.

Using an understanding that 1:2 and 2:3 were good ratios, start with a length and keep reducing it to 2/3 of itself. Each time that took the length under 1/2 they doubled it to get back within range.

It's like 'Peaches Today, Peaches Tomorrow' but interestingly generalized.

Use an interactive Excel spreadsheet to explore number in this exciting game!

This spreadsheet highlights multiples of numbers up to 20 in Pascal's triangle. What patterns can you see?

Use Excel to create some number pyramids. How are the numbers in the base line related to each other? Investigate using the spreadsheet.

Use Excel to investigate the effect of translations around a number grid.

A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.

Learn how to use lookup functions to create exciting interactive Excel spreadsheets.

A ribbon is nailed down with a small amount of slack. What is the largest cube that can pass under the ribbon ?

Use an Excel spreadsheet to explore long multiplication.

Learn how to use conditional formatting to create attractive interactive spreadsheets in Excel.

Take any whole number between 1 and 999, add the squares of the digits to get a new number. Use a spreadsheet to investigate this sequence.

Learn how to use Excel to create triangular arrays.

A group of interactive resources to support work on percentages Key Stage 4.

This investigation uses Excel to optimise a characteristic of interest.

What day of the week were you born on? Do you know? Here's a way to find out.

However did we manage before calculators? Is there an efficient way to do a square root if you have to do the work yourself?

The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?

Learn how to use composite bar charts in Excel.

Euler found four whole numbers such that the sum of any two of the numbers is a perfect square...

A square patio was tiled with square tiles all the same size. Some of the tiles were removed from the middle of the patio in order to make a square flower bed, but the number of the remaining tiles. . . .

Use an interactive Excel spreadsheet to investigate factors and multiples.

Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.

If a sum invested gains 10% each year how long before it has doubled its value?

Use an Excel spreadsheet to approximate a decimal using trial and improvement.

In how many ways can a pound (value 100 pence) be changed into some combination of 1, 2, 5, 10, 20 and 50 pence coins?

Learn how to use logic tests to create interactive resources using Excel.

An Excel spreadsheet with an investigation.

Use an Excel spreadsheet to investigate differences between four numbers. Which set of start numbers give the longest run before becoming 0 0 0 0?

A woman was born in a year that was a square number, lived a square number of years and died in a year that was also a square number. When was she born?

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

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

Use Excel to explore multiplication of fractions.

A heap of beads was shared out by a professional bead sharer. Use the information given to find out how many beads there were at the start.

Learn how to make a simple table using Excel.

I have an unlimited supply of planks, of lengths 7 and 9 units. Putting planks end to end, what total lengths can be achieved? Use Excel to investigate.

What does this number mean ? Which order of 1, 2, 3 and 4 makes the highest value ? Which makes the lowest ?

Learn how to use the Excel functions LCM and GCD.

When is 7^n + 3^n a multiple of 10? Use Excel to investigate, and try to explain what you find out.

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

Use Excel to practise adding and subtracting fractions.

Choose four numbers and make two fractions. Use an Excel spreadsheet to investigate their properties. Can you generalise?

Use Excel to investigate digit sums of multiples of three. Can you explain your findings?

Use Excel to investigate remainders and divisors. Was your result predictable?

A number of useful techniques that can extend your use of Excel.