Mathematicians love to solve problems. However, they 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 a proof as a mathematical argument which has a watertight chain of reasoning.
Rather than trying to jump straight into proof, here we have gathered together some tasks which each give you chance to try something out by picking your own example. Then you can try a different example, and another, and another ... Each time, try to transfer your thinking from the examples you've already tried to the new one. This is the beginning of the journey to proof!