A Collection of Math Olympiad Problems


Disclaimer: these files are just mirrored files from elsewhere on the net. So, I am not the author of them.
More links to Math Olympiad-sites can be found in my Favourite Math Resources.
A large archive of mathematical olympiads can be found at the IMO Compendium.

The International Mathematical Olympiad (IMO)

Logos from the International Math Olympiad 1988, 1991-1996, 1998-2004 (I omitted 1997's logo which I find rather dull).

TeX-files with problems from 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006.

Other file formats are available at http://imo.math.ca/.

Html-files with all olympiads are available at John Scholes's archive.
Some problem files available at http://olympiads.win.tue.nl/imo/.

The Asian Pacific Math Olympiad

The `Asian Pacific Math Olympiad' is a regional math Olympiad involving countries around the Pacific Rim.
Pdf-files with problems from 2000, 2005, 2006.
Tex-files with problems from 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2001, 2002, 2003, 2004.

Other file formats are available at http://www.cms.math.ca/Competitions/APMO/.

The Austrian-Polish Math Competition

Dvi-files with problems from 1994, 1995.
Pdf-files with problems from 1996, 1997, 1998, 1999, 2000, 2001, 2002.

Other file formats are available at http://www.mimuw.edu.pl/~chel/Olimp/olympiads.html.

John Scholes has a nice collection of problems from the Austrian-Polish Math Olympiad (starting with 1978's problems) at http://www.kalva.demon.co.uk/aus-pol.html.

The Balkan Math Olympiad (BMO)

Html-files with problems from 1994, 1995, 1996, 1997, 1998, 1999.
Pdf-files with problems from 2001, 2002, 2003.

John Scholes has a nice collection of problems from the Balkan Math Olympiad (starting with 1984's problems) at http://www.kalva.demon.co.uk/balkan.html.

The 'Baltic-Way'

The 'Baltic-Way' is a Baltic Math Contest.

Dvi-files with problems from 1992, 1993, 1994, 1995.

Pdf-files with problems from 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003.

Other file formats are available at http://www.hh.schule.de/ifl/mathematik/baltic-way.htm and at http://www.mimuw.edu.pl/~chel/Olimp/olympiads.html.

The British Math Olympiad

A pdf-file with problems from 1993-2005.

Problems can also be found at http://www.bmoc.maths.org/.

The Bulgarian Math Olympiad

Ps-files with problems from 1995 (3rd, 4th round), 1996 (3rd, 4th round), 1997 (3rd, 4th round), 1998 (3rd, 4th round), 1999 (3rd, 4th round).

Also available (and other Bulgarian math competitions) at http://www.math.bas.bg/bcmi/.

The Canadian Math Olympiad (CMO)

Pdf-file with problems from 1969-1997.
Tex-files with problems from 1996, 1998, 1999, 2000, 2001, 2002, 2003, 2004.

Other file formats are available at http://www.cms.math.ca/CMS/Competitions/CMO/.

The Chinese Math Olympiad

Html-files with problems from 1996, 1997.

The Dutch Math Olympiad (NWO)

Pdf-files and html-files are available at http://olympiads.win.tue.nl/nwo/opgaven/index.html (Dutch).

Estonian Mathematical Contests

If you are good at Estonian, try your hand at the Matemaatika olümpiaadid site.

The Finnish Math Olympiad

Ps-files with problems from 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999.

The Flanders Math Olympiad (VWO)

VWO
Logo from the Flanders Math Olympiad
Ps-files with problems from 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999.
Pdf-files with problems from 2000, 2001, 2002, 2003.

Other file formats are available at http://www.kulak.ac.be/vwo/uk/vwowwwuk.html.

The German Math Olympiad (DeMO)

Logo from the `Mathematik-Olympiaden e.V.'

Problems from almost all years can be found at http://www.mathematik-olympiaden.de/ and http://www.olympiade-mathematik.de/ (German).

The Iranian Math Olympiad

Html-files with problems from 1997, 1998, 1999.

The Irish Math Olympiad

Ps-files with problems from 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001.

Problems can also be found at http://www.ul.ie/%7emaths/papers.htm

The NewZealand Math Olympiad

Tex-files with problems from 1998 (part 1, part 2, part 3, part 4, part 5, part 6, part 7).

The Niels Abels Contest

The 'Niels Henrik Abels matematikk-konkurranse' is a kind of Norwegian Math Olympiad.

Ps-files with problems from 1993 (1st round, final round), 1994 (1st round, final round), 1995 (1st round, 2nd round, final round), 1996 (1st round, 2nd round, final round), 1997 (1st round, 2nd round, final round), 1998 (1st round, 2nd round, final round), 1999 (1st round, 2nd round, final round).

Other file formats and years (but not all in English) can be found at the Niels Henrik Abels matematikk-konkurranse site.

The Nordic Math Contest

Ps-files with problems from 1994, 1995, 1996.

The Polish Math Olympiad

Dvi-files with problems from 1993 (1st, 2nd, 3rd round), 1994 (1st, 2nd, 3rd round), 1995 (1st, 2nd, 3rd round), 1996 (1st, 2nd, 3rd round).
Pdf-files with problems from 1997 (1st, 2nd, 3rd round), 1998 (1st, 2nd, 3rd round), 1999 (1st, 2nd, 3rd round), 2000 (1st, 2nd, 3rd round), 2001 (1st, 2nd, 3rd round), 2002 (1st, 2nd, 3rd round), 2003 (1st, 2nd, 3rd round).

Other file formats are available at http://www.mimuw.edu.pl/~chel/Olimp/olympiads.html.

The Romanian Math Olympiad

TeX-files with problems from 1997 (part 1), (part 2).
Ps-files with problems from 1993, 1994, 1995, 1996, 1997.

Pdf-files from other years are available at Andrei Jorza's pages.

Singapore Math Olympiad

An html-file with problems from 1993 and 1995 and LaTeX-files with problems from 1996, 1997.

A few files can be found at this SIMO homepage.

Russian Math Olympiad

A text-file with problems from 1961-1987.
A pdf-file with problems from 2001.

Html-files from other years are available at John Scholes's archive.

Other Soviet Union Math Competitions at John Scholes's archive.

USA Math Olympiad (USAMO)

LaTeX-files with problems from 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003.

Other file formats are available at http://www.unl.edu/amc/a-activities/a7-problems/problemUSAMO-IMOarchive.shtml.


How to view these files

.dvi-files: these are 'Device Independent' files, usually generated by TeX. A lot of (platform-dependent) DVI-viewers are available.

.gif-files: these are pictures. They can be viewed by almost all browsers.

.gz-files: these are compressed files. They have to be unzipped first (winzip / gunzip can handle them).

.html-files: the 'native' file format for browsers.

.pdf-files: these are `Portable Document Format' files. This type of files is taking over `postscript' as standard file format. Recent versions of `ghostview' can read them, as well as `Acrobat Reader' (from Adobe).

.ps-files: these are Postscript files, for which other viewers exist. (e.g. `ghostview').

.tex-files: these are text-files for the scientific word-processor TeX. They can be viewed by any word-processor. However, these files contain hardly readable codes (e.g. for math formulae). It is customary to have such files processed by the program TeX, producing a .dvi-file. Some .tex-files can only be processed by extensions of TeX. The most frequently used extensions of (=macro-packages for) TeX to typeset mathematics documents are LaTeX and AMS-TeX.

.txt-files: these are `common' text-files, usually with a poor lay-out. They can be viewed by any word-processor.


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