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Dodecamagic

Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?

28 - Upward and Onward

Can you find ways of joining cubes together so that 28 faces are visible?

Going for Gold

Looking at the 2012 Olympic Medal table, can you see how the data is organised? Could the results be presented differently to give another nation the top place?

A Flying Holiday

Age 7 to 11 Short
Challenge Level

Flying goose.

A bird flew north for $20$ minutes, north-west for $50$ minutes, then south for $20$ minutes.

The bird keeps flying at about the same speed.

For how long, and in what direction, would the bird have to fly to return to its starting point?


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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