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?

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

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

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

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

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

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?

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?

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

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

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?

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

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

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

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

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?

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?

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?

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

Surprise your friends with this magic square trick.

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.

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?

How many models can you find which obey these rules?

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

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

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?

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?

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.

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

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

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

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

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

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

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

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?

Make a mobius band and investigate its properties.

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

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

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

Have you ever tried tessellating capital letters? Have a look at these examples and then try some for yourself.