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Shear Magic

Age 11 to 14
Challenge Level Yellow starYellow star
Secondary curriculum
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How does the area of the triangle compare to the area of the parallelogram? How do you know? How can you use this to create a formula for the area of a triangle in terms of the area of a parallelogram?

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Counting Factors

Is there an efficient way to work out how many factors a large number has?

Is There a Theorem?

Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?

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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.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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