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.

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

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?

We went to the cinema and decided to buy some bags of popcorn so we asked about the prices. Investigate how much popcorn each bag holds so find out which we might have bought.

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?

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

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

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?

Make a mobius band and investigate its properties.

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

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

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

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

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

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

In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?

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

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

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

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

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?

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

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

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

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?

Surprise your friends with this magic square trick.

Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?

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

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?

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

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

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?

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

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 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?

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?

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

Here's a simple way to make a Tangram without any measuring or ruling lines.

Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?

Can you make the birds from the egg tangram?

Make a cube out of straws and have a go at this practical challenge.

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