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

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.

These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.

This article for students gives some instructions about how to make some different braids.

This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.

It might seem impossible but it is possible. How can you cut a playing card to make a hole big enough to walk through?

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. . . .

A game to make and play based on the number line.

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?

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.

Follow these instructions to make a three-piece and/or seven-piece tangram.

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.

Make a clinometer and use it to help you estimate the heights of tall objects.

Make an equilateral triangle by folding paper and use it to make patterns of your own.

Make a cube with three strips of paper. Colour three faces or use the numbers 1 to 6 to make a die.

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.

Have a go at drawing these stars which use six points drawn around a circle. Perhaps you can create your own designs?

Ideas for practical ways of representing data such as Venn and Carroll diagrams.

These are pictures of the sea defences at New Brighton. Can you work out what a basic shape might be in both images of the sea wall and work out a way they might fit together?

Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.

Write a Logo program, putting in variables, and see the effect when you change the variables.

Learn to write procedures and build them into Logo programs. Learn to use variables.

How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?

Use the tangram pieces to make our pictures, or to design some of your own!

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 timer?

How can you make a curve from straight strips of paper?

Design and construct a prototype intercooler which will satisfy agreed quality control constraints.

I start with a red, a blue, a green and a yellow marble. I can trade any of my marbles for three others, one of each colour. Can I end up with exactly two marbles of each colour?

Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?

Follow these instructions to make a five-pointed snowflake from a square of paper.

It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!

This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.

More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.

Here are some ideas to try in the classroom for using counters to investigate number patterns.

This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.

Learn about Pen Up and Pen Down in Logo

More Logo for beginners. Now learn more about the REPEAT command.

Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.

Delight your friends with this cunning trick! Can you explain how it works?

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?