Adventures with numbers

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Number theory - the study of the natural numbers - is not usually studied at school, but it is a rich source of interesting problems which can lead to surprising results.  The problems in this feature will offer you the opportunity to notice patterns, conjecture, generalise and prove results.

Many results can be explained by applying lower secondary school algebraic techniques, and many can also be explained using pictorial representations.

We are very grateful to the Heilbronn Institute for Mathematical Research for their generous support for the development of these resources.