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Halving

These pictures show squares split into halves. Can you find other ways?

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Three Squares

What is the greatest number of squares you can make by overlapping three squares?

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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?

Tangrams

Age 5 to 7 Challenge Level:
Are any of the pieces square?
How might you use one of the red triangles to make a square?
Can you find another way?
How about using one of the green triangles?
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.