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Logosquares

Age 16 to 18
Challenge Level Yellow star
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There are 10 squares in each ring so you know the angles. Find some right angled triangles.

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Cut Cube

Find the shape and symmetries of the two pieces of this cut cube.

Mean Geometrically

A and B are two points on a circle centre O. Tangents at A and B cut at C. CO cuts the circle at D. What is the relationship between areas of ADBO, ABO and ACBO?

Cocked Hat

Sketch the graphs for this implicitly defined family of functions.

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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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