Note: the Putnam competition archive has been given its own page.
Here is a table of problems from the USA, International and Asian Pacific Mathematical Olympiads in various formats. For more information about these contests, see below.
This archive is restricted to the most recent examinations. The older exams appear in several books published by the Mathematical Association of America; check there for more information. (Note: the USAMO exams copyrighted, and appear with the permission of the MAA, for personal use only. Further reproduction of any kind without the consent of the MAA is prohibited.)
If you don't know what the acronyms mean, you probably want to make sure that you have installed Adobe Acrobat as either a "plug-in" or a "helper". Then click on the PDF buttons.
If you do know what the acronyms mean, Postscript is likely the most useful format. One readily available viewer for such files is GhostScript.
If you're stuck with a text-based system, you might try reading the TeX files, which are ASCII files with various special characters used to indicate formatting and mathematical symbols. If you insist on trying to process the TeX or DVI files, you'll probably want to consult the FAQ of the newsgroup comp.text.tex or the CTAN archive.
|Year||USAMO Problems||IMO Problems||APMO Problems|
The USA Mathematical Olympiad (USAMO) is an exam taken by 150 U.S. high school students each April. Students qualify by scoring well on the American Mathematics Contests (AMC 10 or AMC 12) and the American Invitational Mathematics Examination (AIME). The top six scorers on the USAMO are invited to represent the United States at the International Mathematical Olympiad; the U.S. team members and 24 other high scorers train for the IMO at the Math Olympiad Summer Program (MOSP, formerly MOP).
The International Mathematical Olympiad (IMO) is the premier math competition for high school students. Up to six students from each participating country are selected for the competition, held each July in a different location. (The selection procedure varies by country. In the United States, selection is based on the USAMO.)
Thanks to Naoki Sato for providing TeX versions of the 1986-1990 IMOs.
Note that IMO problems not posted here can be found here in HTML.
The Asian Pacific Mathematical Olympiad (APMO) is a regional olympiad among countries on the Pacific Rim (and lately beyond). Each country selects up to about 30 students to write the exam sometime in March, the top 10 of which comprise that country's team score. In the United States, invitations go primarily to past participants of the Math Olympiad Program (MOP).
Thanks to David Radcliffe for providing PostScript versions of the 1989-1996 APMOs (except 1990, provided by Reid Barton). Note that 1989 is the first year the competition was held.
Note: American Mathematics Competitions has graciously agreed to host these pages to promote the dissemination of the information contained herein. Comments about other parts of the AMC web site should be sent to the AMC Director.