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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?

Two by One

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

Shapely Tiling

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?

Overlapping Circles

Age 7 to 11 Challenge Level:

Can you describe the sides of the shapes you can make?

Do you notice anything about all the shapes you make using two circles the same size?

When the two circles are different sizes, what else is possible?

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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NRICH is part of the family of activities in the Millennium Mathematics Project.