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

What happens to these capital letters when they are rotated through one half turn, or flipped sideways and from top to bottom?

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

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

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?

What is the missing symbol? Can you decode this in a similar way?

A shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.

Can you place the blocks so that you see the relection in the picture?

In how many ways can you stack these rods, following the rules?

This problem explores the shapes and symmetries in some national flags.

How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?

This article describes the scope for practical exploration of tessellations both in and out of the classroom. It seems a golden opportunity to link art with maths, allowing the creative side of your. . . .

What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?

A challenging activity focusing on finding all possible ways of stacking rods.

This article describes a practical approach to enhance the teaching and learning of coordinates.

How will you decide which way of flipping over and/or turning the grid will give you the highest total?

These clocks have been reflected in a mirror. What times do they say?

Numbers arranged in a square but some exceptional spatial awareness probably needed.

This article for teachers suggests ideas for activities built around 10 and 2010.

Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!