What do you think is the same about these two Logic Blocks? What others do you think go with them in the set?

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?

This activity challenges you to make collections of shapes. Can you give your collection a name?

This interactivity allows you to sort logic blocks by dragging their images.

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

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

This problem is intended to get children to look really hard at something they will see many times in the next few months.

How many trapeziums, of various sizes, are hidden in this picture?

Use the interactivity to make this Islamic star and cross design. Can you produce a tessellation of regular octagons with two different types of triangle?

Investigate these hexagons drawn from different sized equilateral triangles.

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.

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

Can you help the children in Mrs Trimmer's class make different shapes out of a loop of string?

Look at the mathematics that is all around us - this circular window is a wonderful example.

Can you spot circles, spirals and other types of curves in these photos?

What shaped overlaps can you make with two circles which are the same size? What shapes are 'left over'? What shapes can you make when the circles are different sizes?

The red ring is inside the blue ring in this picture. Can you rearrange the rings in different ways? Perhaps you can overlap them or put one outside another?

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?

Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?

The challenge is to produce elegant solutions. Elegance here implies simplicity. The focus is on rhombi, in particular those formed by jointing two equilateral triangles along an edge.

Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?

A cheap and simple toy with lots of mathematics. Can you interpret the images that are produced? Can you predict the pattern that will be produced using different wheels?

This article for pupils gives some examples of how circles have featured in people's lives for centuries.

Read all about the number pi and the mathematicians who have tried to find out its value as accurately as possible.