What is the greatest volume you can get for a rectangular (cuboid)
parcel if the maximum combined length and girth are 2 metres?
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
Find the frequency distribution for ordinary English, and use it to help you crack the code.
Can you rearrange the biscuits on the plates so that the three
biscuits on each plate are all different and there is no plate with
two biscuits the same as two biscuits on another plate?
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use an Excel spreadsheet to explore long multiplication.
Use an interactive Excel spreadsheet to explore number in this
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
Use an interactive Excel spreadsheet to investigate factors and
Use Excel to investigate the effect of translations around a number
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Use Excel to practise adding and subtracting fractions.
Use Excel to explore multiplication of fractions.
An Excel spreadsheet with an investigation.
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. . . .
Learn how to use conditional formatting to create attractive
interactive spreadsheets in Excel.
Use Excel to create some number pyramids. How are the numbers in the base line related to each other? Investigate using the spreadsheet.
This spreadsheet highlights multiples of numbers up to 20 in
Pascal's triangle. What patterns can you see?
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?
Investigate factors and multiples using this interactive Excel
spreadsheet. Use the increment buttons for experimentation and
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 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. . . .
With access to weather station data, what interesting questions can you investigate?
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 composite bar charts in Excel.
This investigation uses Excel to optimise a characteristic of
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
Learn how to use the Excel functions LCM and GCD.
Learn how to use advanced pasting techniques to create interactive
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.
Learn how to use increment buttons and scroll bars to create
interactive Excel resources.
Choose four numbers and make two fractions. Use an Excel
spreadsheet to investigate their properties. Can you generalise?
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?
When is 7^n + 3^n a multiple of 10? Use Excel to investigate, and
try to explain what you find out.
Learn how to use lookup functions to create exciting interactive
Use an Excel spreadsheet to approximate a decimal using trial and
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.
A number of useful techniques that can extend your use of Excel.