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Mock Examination Series

USAMO Mock Exam

A self-study companion for the USA Mathematical Olympiad

30Problems
4Core Areas
2Simulation Days
9hSimulated Time

The real USAMO consists of 6 proof-based problems across two 4.5-hour sessions. Since proofs cannot be graded interactively, Part I mirrors the authentic structure, timing, and difficulty curve of the real exam — with each problem converted into a verifiable answer choice. Part II is a 24-problem mastery set that mixes Algebra, Combinatorics, Geometry, and Number Theory, ramping in difficulty so a student can train solo, start to finish, and internalize the core techniques the real exam draws on.

PART I

Exam Simulation

Six problems, structured exactly like the real USAMO: three per day, increasing in difficulty within each session.

DAY 1 · Problems 1–3 · 4.5 HR
DAY 2 · Problems 4–6 · 4.5 HR
PART II

Mastery Practice Set

24 problems mixing all four core areas in one continuous, rising-difficulty sequence — solve start to finish to build every technique the real exam relies on.

Answer Key