Mathematicians love to solve problems. However, mathematicians are not satisfied by finding one solution, or even more than one solution to a challenge, they like to dig deeper and try to find a proof. You can think of proof as a watertight chain of reasoning.
Rather than trying to jump straight into proof, we have put together these three groups of tasks to help. The first group encourages you to 'limber up' by offering tasks where it helps to transfer your thinking from one example to another, to another ... The second group pushes you a bit further by giving you the chance to find some general rules and the third group contains tasks
which lend themselves to full proofs.
We hope you enjoy them!