List

USAMO Problems and Solutions

The United States of America Mathematical Olympiad, run by the Mathematical Association of America and first held in 1972. Entry is by invitation, chiefly on AIME scores, and the olympiad is sat over two consecutive days of three proof problems each, with four and a half hours per day. Students who reached the AIME through the AMC 10 sit the USA Junior Mathematical Olympiad (USAJMO), held alongside it since 2010.

2026

USA

USAMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2025

USA

USAMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2024

USA

USAMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2023

USA

USAMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2022

USA

USAMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2021

USA

USAMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2020

USA

USAMO
Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2019

USA

USAMO
Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2018

USA

USAMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2017

USA

USAMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2016

USA

USAMO
Day 13 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
Day 23 problemsProblemsSolutions
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Day 13 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
Day 23 problemsProblemsSolutions
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2015

USA

USAMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2014

USA

USAMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2013

USA

USAMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2012

USA

USAMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2011

USA

USAMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2010

USA

USAMO
Day 13 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
Day 23 problemsProblemsSolutions
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published
USAJMO
Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2009

USA

Problems6 problemsProblems and solutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2008

USA

Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2007

USA

Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2006

USA

Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2005

USA

Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2004

USA

Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2003

USA

Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2002

USA

Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2001

USA

Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

2000

USA

Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

1999

USA

Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

1998

USA

Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

1997

USA

Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

1996

USA

Problems6 problemsProblemsSolutions
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published
  • 6Problem 6not published

1995

USA

Problems5 problemsProblems
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published

1994

USA

Problems5 problemsProblems
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published

1993

USA

Problems5 problemsProblems
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published

1992

USA

Problems5 problemsProblems
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published

1991

USA

Problems5 problemsProblems
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published

1990

USA

Problems5 problemsProblems
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published

1989

USA

Problems5 problemsProblems
  • 1Problem 1not published
  • 2Problem 2not published
  • 3Problem 3not published
  • 4Problem 4not published
  • 5Problem 5not published