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

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.

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

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

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

Make a mobius band and investigate its properties.

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

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?

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?

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

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.

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

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?

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

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

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

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?

Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

Can you split each of the shapes below in half so that the two parts are exactly the same?

Can you make a rectangle with just 2 dominoes? What about 3, 4, 5, 6, 7...?

For this activity which explores capacity, you will need to collect some bottles and jars.

In this activity focusing on capacity, you will need a collection of different jars and bottles.

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?

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. . . .

Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

Can you describe a piece of paper clearly enough for your partner to know which piece it is?

Make a flower design using the same shape made out of different sizes of paper.

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

Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?

Can you deduce the pattern that has been used to lay out these bottle tops?

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 make five differently sized squares from the tangram pieces?

Can you see which tile is the odd one out in this design? Using the basic tile, can you make a repeating pattern to decorate our wall?

We can cut a small triangle off the corner of a square and then fit the two pieces together. Can you work out how these shapes are made from the two pieces?

Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

Which of the following cubes can be made from these nets?

This practical activity challenges you to create symmetrical designs by cutting a square into strips.

We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?

This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?

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

This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?