This page provides access to past problems and official solutions from the United States of America Mathematical Olympiad (USAMO) and the USA Junior Mathematical Olympiad (USAJMO).
USAJMO was introduced later; therefore, only USAMO papers are available for earlier years.
USA(J)MO Past Exams by Year
| Year | USAMO | USAJMO |
|---|---|---|
| 2022 | USAMO | USAJMO |
| 2021 | USAMO | USAJMO |
| 2020 | USAMO | USAJMO |
| 2019 | USAMO | USAJMO |
| 2018 | USAMO | USAJMO |
| 2017 | USAMO | USAJMO |
| 2016 | USAMO | USAJMO |
| 2015 | USAMO | USAJMO |
| 2014 | USAMO | USAJMO |
| 2013 | USAMO | USAJMO |
| 2012 | USAMO | USAJMO |
| 2011 | USAMO | USAJMO |
| 2010 | USAMO | USAJMO |
| 2009 | USAMO | — |
| 2008 | USAMO | — |
| 2007 | USAMO | — |
| 2006 | USAMO | — |
| 2005 | USAMO | — |
| 2004 | USAMO | — |
| 2003 | USAMO | — |
| 2002 | USAMO | — |
| 2001 | USAMO | — |
| 2000 | USAMO | — |
| 1999 | USAMO | — |
| 1998 | USAMO | — |
| 1997 | USAMO | — |
| 1996 | USAMO | — |
| 1995 | USAMO | — |
| 1994 | USAMO | — |
| 1993 | USAMO | — |
| 1992 | USAMO | — |
| 1991 | USAMO | — |
| 1990 | USAMO | — |
| 1989 | USAMO | — |
| 1987 | USAMO | — |
| 1986 | USAMO | — |
| 1985 | USAMO | — |
| 1984 | USAMO | — |
| 1983 | USAMO | — |
| 1982 | USAMO | — |
| 1981 | USAMO | — |
| 1980 | USAMO | — |
| 1979 | USAMO | — |
| 1978 | USAMO | — |
| 1977 | USAMO | — |
| 1976 | USAMO | — |
| 1975 | USAMO | — |
| 1974 | USAMO | — |
| 1973 | USAMO | — |
| 1972 | USAMO | — |
About USAMO & USAJMO
-
USAMO is the highest-level mathematics olympiad for high school students in the United States
-
USAJMO is the junior counterpart, introduced to recognize top-performing younger students
-
Both competitions focus on proof-based problems in algebra, geometry, number theory, and combinatorics
-
Past problems are widely used for olympiad training and advanced mathematical development
