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

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?

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 ?

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

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

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 ?

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

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

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?

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

Start with two numbers. This is the start of a sequence. The next number is the average of the last two numbers. Continue the sequence. What will happen if you carry on for ever?

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

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.

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

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?

Use Farey sequences to obtain rational approximations to irrational numbers.

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?

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

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

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?

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 ?.

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

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.

An Excel spreadsheet with an investigation.

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

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.

Learn how to use composite bar charts in Excel.

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?

Learn how to use the Excel functions LCM and GCD.

Use Excel to explore multiplication of fractions.

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

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

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

Use an interactive Excel spreadsheet to investigate factors and multiples.

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

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 lookup functions to create exciting interactive Excel spreadsheets.

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

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.

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

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