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

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

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?

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

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?

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

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

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

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

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?

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

Here is a version of the game 'Happy Families' for you to make and play.

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

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

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?

This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?

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

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

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

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?

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

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

Can you make the birds from the egg tangram?

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

If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?

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

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?

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

Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?

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

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?

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

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

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

An activity making various patterns with 2 x 1 rectangular tiles.

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

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?

Exploring and predicting folding, cutting and punching holes and making spirals.

Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?

These practical challenges are all about making a 'tray' and covering it with paper.

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