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
With access to weather station data, what interesting questions can you investigate?
Use Farey sequences to obtain rational approximations to irrational
How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
Use an interactive Excel spreadsheet to explore number in this
Use Excel to investigate the effect of translations around a number
This spreadsheet highlights multiples of numbers up to 20 in
Pascal's triangle. What patterns can you see?
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 Excel to create triangular arrays.
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
Use an Excel spreadsheet to approximate a decimal using trial and
Learn how to use lookup functions to create exciting interactive
A ribbon is nailed down with a small amount of slack. What is the
largest cube that can pass under the ribbon ?
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Learn how to use conditional formatting to create attractive
interactive spreadsheets in Excel.
A group of interactive resources to support work on percentages Key
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.
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?
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?
This investigation uses Excel to optimise a characteristic of
Learn how to use composite bar charts in Excel.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Use an interactive Excel spreadsheet to investigate factors and
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. . . .
What are your chances of winning a game of tennis?
Use an Excel spreadsheet to explore long multiplication.
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.
Learn how to use logic tests to create interactive resources using
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.
Investigate factors and multiples using this interactive Excel
spreadsheet. Use the increment buttons for experimentation and
Learn how to make a simple table using Excel.
Learn how to use increment buttons and scroll bars to create
interactive Excel resources.
Use Excel to explore multiplication of fractions.
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
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 investigate differences between four
numbers. Which set of start numbers give the longest run before
becoming 0 0 0 0?
Use Excel to practise adding and subtracting fractions.
Learn how to use advanced pasting techniques to create interactive
Learn how to use the Excel functions LCM and GCD.
Use Excel to investigate remainders and divisors. Was your result
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.
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. . . .
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?
Find the frequency distribution for ordinary English, and use it to help you crack the code.
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?