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.
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?
However did we manage before calculators? Is there an efficient way
to do a square root if you have to do the work yourself?
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
It's like 'Peaches Today, Peaches Tomorrow' but interestingly
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. . . .
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.
Use Excel to explore multiplication of fractions.
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.
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.
Learn how to use composite bar charts in Excel.
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
How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
Find the frequency distribution for ordinary English, and use it to help you crack the code.
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
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 ?.
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?
Learn how to use increment buttons and scroll bars to create
interactive Excel resources.
An aluminium can contains 330 ml of cola. If the can's diameter is
6 cm what is the can's height?
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
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 a sum invested gains 10% each year how long before it has
doubled its value?
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
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. . . .
Learn how to use advanced pasting techniques to create interactive
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.
Use Excel to investigate remainders and divisors. Was your result
Learn how to use the Excel functions LCM and GCD.
A number of useful techniques that can extend your use of Excel.
Use an Excel spreadsheet to approximate a decimal using trial and
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?
This spreadsheet highlights multiples of numbers up to 20 in
Pascal's triangle. What patterns can you see?