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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.

Playground Snapshot

The image in this problem is part of a piece of equipment found in the playground of a school. How would you describe it to someone over the phone?

Overlapping Again

Age 7 to 11
Challenge Level

Can you imagine gradually moving one shape across the other one?
It might help to draw the shapes, or cut some out from tissue paper or overhead transparencies.

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.