I competed at the International Mathematical Olympiad and really enjoy competition mathematics. Here are some resources and favourite problems (from various competitions).

Resources

The Art of Problem Solving website has some great links and resources.

26 years of Irish Maths Olympiad problems are available, with more on the IRMO website.

International Maths Olympiad past papers - difficulty increases with more recent years.

Books

Favourite Problems

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6