Using a loop of string stretched around three of your fingers, what different triangles can you make? Draw them and sort them into groups.

Can you make five differently sized squares from the tangram pieces?

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

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

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?

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?

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

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

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?

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

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?

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

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

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.

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

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

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

Can you fit the tangram pieces into the outline of this goat and giraffe?

Can you fit the tangram pieces into the outline of this plaque design?

Can you fit the tangram pieces into the outline of these rabbits?

Can you fit the tangram pieces into the outlines of the candle and sundial?

Can you fit the tangram pieces into the outlines of the workmen?

Can you fit the tangram pieces into the outline of Little Ming and Little Fung dancing?

Can you fit the tangram pieces into the outline of the telescope and microscope?

Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?

Can you fit the tangram pieces into the outlines of Mai Ling and Chi Wing?

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

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

Surprise your friends with this magic square trick.

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

What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?

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

How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?

Can you fit the tangram pieces into the outline of Little Ming playing the board game?

This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.

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

Can you fit the tangram pieces into the outline of Wai Ping, Wah Ming and Chi Wing?

What happens to the area of a square if you double the length of the sides? Try the same thing with rectangles, diamonds and other shapes. How do the four smaller ones fit into the larger one?

Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?

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

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?

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?

Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?

Can you visualise what shape this piece of paper will make when it is folded?

For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...

Can you fit the tangram pieces into the outlines of these clocks?

Can you fit the tangram pieces into the outline of the child walking home from school?