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Creating convincing arguments or "proofs" to show that statements are always true is a key mathematical skill. The problems in this feature offer you the chance to explore number patterns and create proofs to show that these are always true.
Many of the problems in this feature include proof sorting activities which challenge you to rearrange statements in order to recreate clear, rigorous proofs.
The last day for sending in your solutions to the live problems is Monday 31 January.
Plus magazine has a selection of interesting articles about proofs here.
We are very grateful to the Heilbronn Institute for Mathematical Research for their generous support for the development of these resources.