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

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

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?

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

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

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

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

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

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

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

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

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

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

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?

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!

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

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.

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

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. . . .

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

Plex lets you specify a mapping between points and their images. Then you can draw and see the transformed image.