Putnam Mathematics Competition
The William Lowell Putnam Mathematical Competition is the premier
mathematical competition for undergraduates.
About 3,000 contestants and 300 teams from the major
universities all around the world participate in this
Competition.
The Putnam Competition is sponsored by the
Mathematical Association of America, whose website
contains useful information about the exam.
All students (not necessarily math major) are invited to participate.
Here are the rules.
Here is a link to a site including all Putnam exams since 1939!
Problems and solutions from recent years
Another useful link: