Use Farey sequences to obtain rational approximations to irrational numbers.

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.

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

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

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

Use an interactive Excel spreadsheet to investigate factors and multiples.

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

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

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?

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

By tossing a coin one of three princes is chosen to be the next King of Randomia. Does each prince have an equal chance of taking the throne?

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

Euler found four whole numbers such that the sum of any two of the numbers is a perfect square. Three of the numbers that he found are a = 18530, b=65570, c=45986. Find the fourth number, x. You. . . .

Use Excel to practise adding and subtracting fractions.

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

Use an Excel spreadsheet to explore long multiplication.

Use Excel to explore multiplication of fractions.

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

An Excel spreadsheet with an investigation.

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.

Learn how to use composite bar charts in Excel.

Substitute -1, -2 or -3, into an algebraic expression and you'll get three results. Is it possible to tell in advance which of those three will be the largest ?

This investigation uses Excel to optimise a characteristic of interest.

How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?

Find the frequency distribution for ordinary English, and use it to help you crack the code.

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.

A fire-fighter needs to fill a bucket of water from the river and take it to a fire. What is the best point on the river bank for the fire-fighter to fill the bucket ?.

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?

With access to weather station data, what interesting questions can you investigate?

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

An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?

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

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.

A plastic funnel is used to pour liquids through narrow apertures. What shape funnel would use the least amount of plastic to manufacture for any specific volume ?

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

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

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

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

If you take two integers and look at the difference between the square of each value, there is a nice relationship between the original numbers and that difference. Can you find the pattern using. . . .

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

Use Excel to find sets of three numbers so that the sum of the squares of the first two is equal to the square of the third.

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

Learn how to use the Excel functions LCM and GCD.

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

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

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?

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