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Overlapping Circles

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?

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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?

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Two by One

An activity making various patterns with 2 x 1 rectangular tiles.

Overlapping Again

Age 7 to 11 Challenge Level:

You may want to look at Overlaps before you try this problem.

Here are some pairs of shapes:

pairs of shapes

What overlap shape would you get if you overlapped them halfway across each other?

Here are some more pairs of shapes. What overlap shapes would you get this time?

more pairs of shapes

Which of these overlap shapes did you find?

overlap shapes

You may like to use this interactivity to experiment after you have tried to imagine what will happen in your head.

Full screen version