This package contains hands-on code breaking activities based on
the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
Make some celtic knot patterns using tiling techniques
This article for students gives some instructions about how to make some different braids.
Exploring balance and centres of mass can be great fun. The
resulting structures can seem impossible. Here are some images to
encourage you to experiment with non-breakable objects of your own.
This article for pupils gives an introduction to Celtic knotwork
patterns and a feel for how you can draw them.
In this article for teachers, Bernard uses some problems to suggest
that once a numerical pattern has been spotted from a practical
starting point, going back to the practical can help explain. . . .
You could use just coloured pencils and paper to create this
design, but it will be more eye-catching if you can get hold of
hammer, nails and string.
Use the tangram pieces to make our pictures, or to design some of
Make a clinometer and use it to help you estimate the heights of
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
Make a spiral mobile.
As part of Liverpool08 European Capital of Culture there were a
huge number of events and displays. One of the art installations
was called "Turning the Place Over". Can you find our how it works?
A game to make and play based on the number line.
It might seem impossible but it is possible. How can you cut a
playing card to make a hole big enough to walk through?
Follow these instructions to make a three-piece and/or seven-piece
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Make a mobius band and investigate its properties.
Have you noticed that triangles are used in manmade structures?
Perhaps there is a good reason for this? 'Test a Triangle' and see
how rigid triangles are.
Using these kite and dart templates, you could try to recreate part
of Penrose's famous tessellation or design one yourself.
Design and construct a prototype intercooler which will satisfy agreed quality control constraints.
Make a cube with three strips of paper. Colour three faces or use
the numbers 1 to 6 to make a die.
Make a ball from triangles!
Surprise your friends with this magic square trick.
Did you know mazes tell stories? Find out more about mazes and make
one of your own.
Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
Write a Logo program, putting in variables, and see the effect when you change the variables.
How many differently shaped rectangles can you build using these
equilateral and isosceles triangles? Can you make a square?
Make an equilateral triangle by folding paper and use it to make
patterns of your own.
Learn to write procedures and build them into Logo programs. Learn to use variables.
Ideas for practical ways of representing data such as Venn and
Galileo, a famous inventor who lived about 400 years ago, came up
with an idea similar to this for making a time measuring
instrument. Can you turn your pendulum into an accurate minute
How can you make a curve from straight strips of paper?
What happens when a procedure calls itself?
Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?
Delight your friends with this cunning trick! Can you explain how
How is it possible to predict the card?
Take a counter and surround it by a ring of other counters that
MUST touch two others. How many are needed?
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
Learn about Pen Up and Pen Down in Logo
It's hard to make a snowflake with six perfect lines of symmetry,
but it's fun to try!
What shapes can you make by folding an A4 piece of paper?
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
More Logo for beginners. Now learn more about the REPEAT command.
Turn through bigger angles and draw stars with Logo.
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
A description of how to make the five Platonic solids out of paper.
Starting with four different triangles, imagine you have an
unlimited number of each type. How many different tetrahedra can
you make? Convince us you have found them all.
Kaia is sure that her father has worn a particular tie twice a week
in at least five of the last ten weeks, but her father disagrees.
Who do you think is right?