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.
Euler found four whole numbers such that the sum of any two of the numbers is a perfect square...
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?
If a sum invested gains 10% each year how long before it has doubled its value?
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
A group of interactive resources to support work on percentages Key Stage 4.
Use Excel to investigate the effect of translations around a number grid.
Use an Excel spreadsheet to explore long multiplication.
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Use an interactive Excel spreadsheet to explore number in this exciting game!
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
However did we manage before calculators? Is there an efficient way to do a square root if you have to do the work yourself?
An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?
It's like 'Peaches Today, Peaches Tomorrow' but interestingly generalized.
What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?
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?
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and multiples.
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.
Use Excel to explore multiplication of fractions.
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?
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.
Use Excel to create some number pyramids. How are the numbers in the base line related to each other? Investigate using the spreadsheet.
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. . . .
Investigate factors and multiples using this interactive Excel spreadsheet. Use the increment buttons for experimentation and feedback.
Learn how to use conditional formatting to create attractive interactive spreadsheets in Excel.
Learn how to use composite bar charts in Excel.
Learn how to use increment buttons and scroll bars to create interactive Excel resources.
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?
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.
This investigation uses Excel to optimise a characteristic of interest.
Learn how to make a simple table using Excel.
Learn how to use Excel to create triangular arrays.
This spreadsheet highlights multiples of numbers up to 20 in Pascal's triangle. What patterns can you see?
Use Excel to investigate remainders and divisors. Was your result predictable?
Learn how to use the Excel functions LCM and GCD.
Use Excel to investigate digit sums of multiples of three. Can you explain your findings?
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.
A number of useful techniques that can extend your use of Excel.
Choose four numbers and make two fractions. Use an Excel spreadsheet to investigate their properties. Can you generalise?
Learn how to use advanced pasting techniques to create interactive spreadsheets.
When is 7^n + 3^n a multiple of 10? Use Excel to investigate, and try to explain what you find out.
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 approximate a decimal using trial and improvement.
Learn how to use lookup functions to create exciting interactive Excel spreadsheets.
Learn how to use logic tests to create interactive resources 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.