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Follow the clues to find the mystery number.

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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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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?

Eight Dominoes

Stage: 2, 3 and 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Using the 8 dominoes:

8 dominoes

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

An example domino square

How many possible solutions are there?

You may find our Dominoes Environment useful for working on this problem.

Printable NRICH Roadshow resource.