List

Putnam Problems and Solutions

The Mathematical Association of America's competition for undergraduates at colleges and universities in the United States, Canada and Mexico, first held in 1938. Its twelve problems, A1 to A6 and B1 to B6, were sat in two three-hour sessions on a Saturday in December; from 2026 the six hours are split into four sessions of ninety minutes.

2025

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2024

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2023

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2022

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2021

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2020

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2019

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2018

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2017

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2016

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2015

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2014

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2013

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2012

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2011

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2010

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2009

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2008

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2007

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2006

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2005

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2004

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2003

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2002

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2001

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

2000

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

1999

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

1998

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

1997

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

1996

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

1995

USA

Problems12 problemsProblemsSolutions
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

1994

USA

Problems12 problemsProblems
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

1993

USA

Problems12 problemsProblems
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

1992

USA

Problems12 problemsProblems
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

1991

USA

Problems12 problemsProblems
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

1990

USA

Problems12 problemsProblems
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

1989

USA

Problems12 problemsProblems
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

1988

USA

Problems12 problemsProblems
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

1987

USA

Problems12 problemsProblems
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

1986

USA

Problems12 problemsProblems
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published

1985

USA

Problems12 problemsProblems
  • 1A1not published
  • 2A2not published
  • 3A3not published
  • 4A4not published
  • 5A5not published
  • 6A6not published
  • 7B1not published
  • 8B2not published
  • 9B3not published
  • 10B4not published
  • 11B5not published
  • 12B6not published