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Four Triangles Puzzle

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

Rectangles with Dominoes

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

Chain of Changes

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?

Opening Patterns

Age 5 to 7
Challenge Level


Here are some photographs taken at the Opening Ceremony of the Olympic Games in Beijing. Have a look at all the images and see what shapes and patterns you can find.
Clicking on a picture will enlarge it.

Some of the pictures show lots and lots of people in lines, or squares, or circles.
Can you (and lots of your friends!) make shapes like these?
Can you plan your own opening ceremony?