Or search by topic
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. There are also a selection of "dodgy proofs" where your challenge is to find out where the logic breaks down.
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.
This collection of problems has been put together to help you to explore and understand important ideas in statistics.
These problems are best solved using systematic approaches.
These problems invite you to explore integration as area, and use area integrals to solve problems.