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.

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

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

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

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?

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.

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

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?

Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.

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

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

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

Did you know mazes tell stories? Find out more about mazes and make one of your own.

How can you make an angle of 60 degrees by folding a sheet of paper twice?

Using these kite and dart templates, you could try to recreate part of Penrose's famous tessellation or design one yourself.

Surprise your friends with this magic square trick.

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.

Make a mobius band and investigate its properties.

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?

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

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

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.

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

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

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

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.

I start with a red, a green and a blue marble. I can trade any of my marbles for two others, one of each colour. Can I end up with five more blue marbles than red after a number of such trades?

Here is a solitaire type environment for you to experiment with. Which targets can you reach?

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

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?

If you'd like to know more about Primary Maths Masterclasses, this is the package to read! Find out about current groups in your region or how to set up your own.

A description of how to make the five Platonic solids out of paper.

The triangle ABC is equilateral. The arc AB has centre C, the arc BC has centre A and the arc CA has centre B. Explain how and why this shape can roll along between two parallel tracks.

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.

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?

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

Turn through bigger angles and draw stars with Logo.

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

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