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Penta Colour

In how many different ways can I colour the five edges of a pentagon red, blue and green so that no two adjacent edges are the same colour?

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Eight Dominoes

Using the 8 dominoes make a square where each of the columns and rows adds up to 8

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Snowman

All the words in the Snowman language consist of exactly seven letters formed from the letters {s, no, wm, an). How many words are there in the Snowman language?

Road Maker

Stage: 4 and 5 Challenge Level: Challenge Level:1
Think about what the rules are telling you, rather than your intuitive preconceptions about the meaning of some of the words.
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. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.