Position, Direction and Movement: Age 7-11

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

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

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

Use the clues about the symmetrical properties of these letters to place them on the grid.

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

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

Use the information on these cards to draw the shape that is being described.

Are these statements always true, sometimes true or never true?

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

How many symmetric designs can you make on this grid? Can you find them all?

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

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?