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

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?

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

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?

Can you lay out the pictures of the drinks in the way described by the clue cards?

If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?

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

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

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

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

Can you cut a regular hexagon into two pieces to make a parallelogram? Try cutting it into three pieces to make a rhombus!

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

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

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

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

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.

Make a mobius band and investigate its properties.

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

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

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

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

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?

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 put these shapes in order of size? Start with the smallest.

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?

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

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

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?

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

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

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?

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

Can you cut up a square in the way shown and make the pieces into a triangle?

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

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?

Try continuing these patterns made from triangles. Can you create your own repeating pattern?

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

A group of children are discussing the height of a tall tree. How would you go about finding out its height?

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 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?

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