Counting principles and pigeonhole principle.

Includes modular arithmetic, prime factorization, and Diophantine equations. 2. BMO Round 1 Problems and Solutions The bulk of the book (approx. 200 pages) consists of BMO1 problems and full solutions

Are you preparing for a like the BMO or AMC, or just looking to sharpen your general proof-writing skills?

A valuable resource for mathematically ambitious students and those managing mathematics clubs. Prerequisites:

: Provides essential foundational theory in four core olympiad areas: Algebra, Combinatorics, Geometry, and Number Theory Problem-Solving Focus

Smith integrates the work of George Pólya and other mathematical educators, explicitly teaching heuristics—strategies for approaching problems when the path is not obvious. This includes techniques such as: