Use Farey sequences to obtain rational approximations to irrational
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
Use Excel to investigate the effect of translations around a number
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
A group of interactive resources to support work on percentages Key
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
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. . . .
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
However did we manage before calculators? Is there an efficient way
to do a square root if you have to do the work yourself?
It's like 'Peaches Today, Peaches Tomorrow' but interestingly
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.
An Excel spreadsheet with an investigation.
Use Excel to explore multiplication of fractions.
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.
What does this number mean ? Which order of 1, 2, 3 and 4 makes the
highest value ? Which makes the lowest ?
Investigate factors and multiples using this interactive Excel
spreadsheet. Use the increment buttons for experimentation and
This investigation uses Excel to optimise a characteristic of
Learn how to use composite bar charts in Excel.
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?
If a sum invested gains 10% each year how long before it has
doubled its value?
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 ?
How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
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 ?.
Learn how to use increment buttons and scroll bars to create
interactive Excel resources.
What are your chances of winning a game of tennis?
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?
An aluminium can contains 330 ml of cola. If the can's diameter is
6 cm what is the can's height?
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 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. . . .
What day of the week were you born on? Do you know? Here's a way to
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
Learn how to make a simple table using Excel.
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
Use Excel to create some number pyramids. How are the numbers in the base line related to each other? Investigate using the spreadsheet.
Learn how to use advanced pasting techniques to create interactive
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
Learn how to use the Excel functions LCM and GCD.
When is 7^n + 3^n a multiple of 10? Use Excel to investigate, and
try to explain what you find out.
Use an Excel spreadsheet to approximate a decimal using trial and
Learn how to use Excel to create triangular arrays.
A number of useful techniques that can extend your use of Excel.