Mathematics Competition Resources

Here are just a few resources that anyone competing, or hoping to compete, in the Irish Mathematical Intervarsities may find useful.

Art of Problem Solving

This website contains many useful lemmas and theorems. While mainly aimed at second level competitions, the forums in particular have wonderful discussions of various problem solving techniques at all levels

TCD Selection Tests, Intervarsity Papers and Solutions

Timothy Murphy is a good man for problems. Here you will find most of the selection tests and intervarsity papers from Trinity, along with solutions. Poking around this site will also find you some more interesting resources.

IrMO Papers

Often a smidge easier than IV problems, Irish Mathematical Olympiad problems are very similar in style and difficulty. The only thing missing is calculus.

IMO Papers

For when you need a challenge

IMC Papers

While generally a bit above the standard of most IV problems, IMC problems provide a good challenge and the right flavour

Some Problem Sets I threw together

This paper, produced as part of a REU program at the University of Minnesota, was my first venture into algebraic combinatorics and geometry.

Putnam Problems

Challenging, but often interesting Random Problems

This has a random problem from one of the above places each day. Useful for exposing yourself to new problems and preventing selection bias

You are also welcome to contact me if you would like any further help finding resources or problems