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Anne is running around a circular track completing each circuit in 40 seconds. Brenda runs in the opposite direction and meets Anne every 15 seconds. How long does it take Brenda to run around the track?

Cathy is running in the same direction as Anne and passes her every 60 seconds. How frequently do Cathy and Brenda pass each other?

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Rule of Three

If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?

Square Pegs

Which is a better fit, a square peg in a round hole or a round peg in a square hole?

How Big?

If the sides of the triangle in the diagram are 3, 4 and 5, what is the area of the shaded square?

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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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