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, and the USA Team Selection Test 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.
Legal note: the USAMO exams and TSTs are 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.
What are all these formats, anyway?
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.
About the contests
Click on the name of a competition for more information about it.
The USA Mathematical Olympiad (USAMO) is an exam taken by several hundred 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 about 24 other high scorers train for the IMO at the Math Olympiad Summer Program (MOSP; also referred to by its historical acronym MOP, for Math Olympiad Program).
The Team Selection Test (TST) was introduced in 2000. It is used in conjunction with the USAMO to select the USA team for the IMO. It is administered at the start of the MOSP to the winners (the top 12 scorers) on the USAMO; the top 6 scorers on the USAMO/TST combination are selected for the team.
In 2007 we have posted a set of MOSP Practice Tests.
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 and the TST as described above.)
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 MOSP.
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.
|Maintained by Kiran S. Kedlaya (kedlaya'at'math.mit.edu) |
Last modified: 20 Dec 2002 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.
Jan 22, 2010
AMC USAMO/Test/IMO & APMO Math Problems Directory