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?

How much peel does an apple have?

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?

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

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.

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

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

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

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?

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

Use an interactive Excel spreadsheet to investigate factors and multiples.

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

Use an Excel spreadsheet to explore long multiplication.

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.

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.

What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?

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 ?

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

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.

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. . . .

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

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

Learn how to use composite bar charts in Excel.

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

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

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

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

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?

Use Excel to explore multiplication of fractions.

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

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 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 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?

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

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.

Learn how to use the Excel functions LCM and GCD.

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

Use Excel to practise adding and subtracting fractions.

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

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

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

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. . . .

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