Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?

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

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?

Galileo, a famous inventor who lived about 400 years ago, came up with an idea similar to this for making a time measuring instrument. Can you turn your pendulum into an accurate minute timer?

Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?

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

In this article for teachers, Bernard uses some problems to suggest that once a numerical pattern has been spotted from a practical starting point, going back to the practical can help explain. . . .

Use the tangram pieces to make our pictures, or to design some of your own!

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

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

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

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

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

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 each work out the number on your card? What do you notice? How could you sort the cards?

Make an equilateral triangle by folding paper and use it to make patterns of your own.

You could use just coloured pencils and paper to create this design, but it will be more eye-catching if you can get hold of hammer, nails and string.

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

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

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

Make your own double-sided magic square. But can you complete both sides once you've made the pieces?

A game to make and play based on the number line.

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

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

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

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

Arrange 9 red cubes, 9 blue cubes and 9 yellow cubes into a large 3 by 3 cube. No row or column of cubes must contain two cubes of the same colour.

It might seem impossible but it is possible. How can you cut a playing card to make a hole big enough to walk through?

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

This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.

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

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

Surprise your friends with this magic square trick.

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.

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

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

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

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

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?

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

Make a mobius band and investigate its properties.

The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

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

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.