Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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?

Challenge Level

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?

Challenge Level

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

Challenge Level

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.

Challenge Level

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

Challenge Level

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 ?

Challenge Level

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

Challenge Level

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

Challenge Level

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?

Challenge Level

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

Challenge Level

This investigation uses Excel to optimise a characteristic of interest.

Challenge Level

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.

Challenge Level

Learn how to use Excel to create triangular arrays.

Challenge Level

Learn how to use the Excel functions LCM and GCD.

Challenge Level

Learn how to use composite bar charts in Excel.

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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.

Challenge Level

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

Challenge Level

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.

Challenge Level

Learn how to make a simple table using Excel.

Challenge Level

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

Challenge Level

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

Challenge Level

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.

Challenge Level

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?

Challenge Level

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

Challenge Level

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?

Challenge Level

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

Challenge Level

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. . . .

Challenge Level

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

Challenge Level

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.

Challenge Level

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

Challenge Level

Can you make sense of information about trees in order to maximise the profits of a forestry company?

Challenge Level

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 ?.

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

Use an Excel spreadsheet to explore long multiplication.

Challenge Level

Use an interactive Excel spreadsheet to investigate factors and multiples.

Challenge Level

Use Excel to practise adding and subtracting fractions.