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?

You will need a long strip of paper for this task. Cut it into different lengths. How could you find out how long each piece is?

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

Make your own double-sided magic square. But can you complete both sides once you've made the pieces?

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 group of children are discussing the height of a tall tree. How would you go about finding out its height?

What do these two triangles have in common? How are they related?

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

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

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

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.

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

Surprise your friends with this magic square trick.

This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.

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

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

Use the tangram pieces to make our pictures, or to design some 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?

Follow the diagrams to make this patchwork piece, based on an octagon in a square.

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?

Can you put these shapes in order of size? Start with the smallest.

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

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

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

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

Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

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

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

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

A brief video looking at how you can sometimes use symmetry to distinguish knots. Can you use this idea to investigate the differences between the granny knot and the reef knot?

Can you recreate this Indian screen pattern? Can you make up similar patterns of your own?

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.

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

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

Can you each work out what shape you have part of on your card? What will the rest of it look like?

Cut a square of paper into three pieces as shown. Now,can you use the 3 pieces to make a large triangle, a parallelogram and the square again?

Learn about Pen Up and Pen Down in Logo

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

Make some celtic knot patterns using tiling techniques

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

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 each work out the number on your card? What do you notice? How could you sort the cards?

Can you lay out the pictures of the drinks in the way described by the clue cards?

The challenge for you is to make a string of six (or more!) graded cubes.