What shape and size of drinks mat is best for flipping and catching?

Build a scaffold out of drinking-straws to support a cup of water

What shape would fit your pens and pencils best? How can you make it?

Can Jo make a gym bag for her trainers from the piece of fabric she has?

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

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

What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?

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

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

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

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 some celtic knot patterns using tiling techniques

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

Make a mobius band and investigate its properties.

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

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

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.

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

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?

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?

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.

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

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. . . .

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

Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?

Turn through bigger angles and draw stars with Logo.

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

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

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

Learn about Pen Up and Pen Down in Logo

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

What happens when a procedure calls itself?

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

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

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

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

This package contains hands-on code breaking activities based on the Enigma Schools Project. Suitable for Stages 2, 3 and 4.

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

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?

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.

Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?

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

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

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.