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

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?

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

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

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

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?

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

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?

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

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

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

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

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

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?

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

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

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

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

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

Have you ever noticed the patterns in car wheel trims? These questions will make you look at car wheels in a different way!

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?

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

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

Watch this "Notes on a Triangle" film. Can you recreate parts of the film using cut-out triangles?

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

Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?

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?

How many models can you find which obey these rules?

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

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

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

You have a set of the digits from 0 – 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

These pictures show squares split into halves. Can you find other ways?

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

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

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

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

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?

The class were playing a maths game using interlocking cubes. Can you help them record what happened?

What shape is made when you fold using this crease pattern? Can you make a ring design?

How can you make a curve from straight strips 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.

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

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

Is there a best way to stack cans? What do different supermarkets do? How high can you safely stack the cans?

Surprise your friends with this magic square trick.