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?
Take any pair of numbers, say 9 and 14. Take the larger number,
fourteen, and count up in 14s. Then divide each of those values by
the 9, and look at the remainders.
How much peel does an apple have?
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?
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.
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?
A square patio was tiled with square tiles all the same size. Some
of the tiles were removed from the middle of the patio in order to
make a square flower bed, but the number of the remaining tiles. . . .
A ribbon is nailed down with a small amount of slack. What is the
largest cube that can pass under the ribbon ?
It's like 'Peaches Today, Peaches Tomorrow' but interestingly
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 conditional formatting to create attractive
interactive spreadsheets in Excel.
If a sum invested gains 10% each year how long before it has
doubled its value?
This spreadsheet highlights multiples of numbers up to 20 in
Pascal's triangle. What patterns can you see?
Use an interactive Excel spreadsheet to explore number in this
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
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
Learn how to use Excel to create triangular arrays.
Use an Excel spreadsheet to explore long multiplication.
Use Excel to investigate the effect of translations around a number
Learn how to use lookup functions to create exciting interactive
What day of the week were you born on? Do you know? Here's a way to
However did we manage before calculators? Is there an efficient way
to do a square root if you have to do the work yourself?
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?
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 ?.
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 Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
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. . . .
Learn how to use composite bar charts in Excel.
This investigation uses Excel to optimise a characteristic of
A group of interactive resources to support work on percentages Key
Use an Excel spreadsheet to approximate a decimal using trial and
What does this number mean ? Which order of 1, 2, 3 and 4 makes the
highest value ? Which makes the lowest ?
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?
An Excel spreadsheet with an investigation.
Use an interactive Excel spreadsheet to investigate factors and
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.
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
Investigate factors and multiples using this interactive Excel
spreadsheet. Use the increment buttons for experimentation and
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
Learn how to make a simple table using Excel.
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?
Choose four numbers and make two fractions. Use an Excel
spreadsheet to investigate their properties. Can you generalise?
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 the Excel functions LCM and GCD.
Learn how to use advanced pasting techniques to create interactive
Use Excel to practise adding and subtracting fractions.