Problem Sets and Past Papers

The problems of the IMO broadly fall into the categories: Algebra, Number Theory, Discrete Mathematics, Inequalities, and Geometry.

Notes and Problem Sets


Discrete Mathematics

Number Theory



Past Papers of the IrMO

IrMO 2009 Paper 1 (with solutions)

IrMO 2009 paper 2 (with solutions)

Collected IrMO Problems 1988-2014 (PDF file)

IrMO Training Book

Irish Mathematical Olympiad Training Manual (Logic Press)