Notes and Lectures suitable for Olympiad Training or
Mathematics Enrichment
High School Talent Searches
Problem Solving Sites
- MATHCOUNTS
is a coaching and competition program for middle school students
in the US. The Site has many problems, solutions and problem
solving strategy advice.
- Problems from
KoMaL This is the Hungarian Mathematical and Physical Journal
for Secondary Schools. For over thirty years they have been
publishing problems in English.
- CRUX with
MAYHEM On-line Volume 23 from 1997 has public access and
contains olympiad questions and solutions etc (published by the
Canadian Mathematical Society)
International Mathematical Olympiad (IMO)
(Official Site)
- The International Mathematical Olympiad (IMO) is held each
July in a different location with up to six high school students
from each participating country. Format is: Day 1 - 3 questions
4.5 hours , Day 2 - 3 questions 4.5 hours.
- IMO
2000 Exam Questions (Taejon, South Korea)
- IMO
1999 Exam Questions (Bucharest, Romania)
- IMO
1998 Exam Questions (Taipei, Taiwan)
- IMO
1997 Exam Questions (Mar del Plata, Argentina)
Solutions
- IMO
1996 Exam Questions (Mumbai, India)
Solutions
- IMO
1995 Exam Questions (Toronto, Canada)
Solutions
- IMO
1994 Exam Questions (Hong Kong)
- IMO
1993 Exam Questions (Istanbul, Turkey)
- IMO
1992 Exam Questions (Moscow, Russia)
- IMO
1991 Exam Questions
- IMO
1990 Exam Questions (Beijing, China)
- IMO
1989 Exam Questions (Braunschweig, Germany)
- IMO
1988 Exam Questions (Canberra, Australia)
- IMO
1987 Exam Questions (Havana, Cuba)
- IMO
1986 Exam Questions (Warsaw, Poland)
- IMO 1985
Exam Questions
- IMO 1984
Exam Questions
- IMO 1983
Exam Questions
- IMO 1982
Exam Questions
- IMO 1981
Exam Questions
- IMO 1979
Exam Questions
- IMO 1978
Exam Questions
- IMO 1977
Exam Questions
- IMO 1976
Exam Questions
- IMO 1975
Exam Questions
- IMO 1974
Exam Questions
- IMO 1973
Exam Questions
- IMO 1972
Exam Questions
- IMO 1971
Exam Questions
- IMO 1970
Exam Questions
- IMO 1969
Exam Questions
- IMO 1968
Exam Questions
- IMO 1967
Exam Questions
- IMO 1966
Exam Questions
- IMO 1965
Exam Questions
- IMO 1964
Exam Questions
- IMO 1963
Exam Questions
- IMO 1962
Exam Questions
- IMO 1961
Exam Questions
- IMO 1960
Exam Questions
- IMO 1959
Exam Questions
USA Mathematical Olympiad (USAMO)
- 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). Format
is: two 3 hour exams each of 3 questions.
Asian Pacific Mathematical Olympiad (APMO)
- 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 sit the exam sometime in March, the top 10
of which comprise that country's team score. Format: 5 questions.
Austrian-Polish Mathematics Competition (APMC)
- The competition lasts three days. The first two days have an
individual character (the first six problems), the third day is a
team competition (the last three problems).
Balkan Mathematical Olympiad (BMO)
- The Balkan Mathematical Olympiad (BMO) is a mathematical
contest for school pupils from the countries situated in the
Balkan region. Format is 4 questions in a 4.5 hour paper.
- 17th BMO 2000
Exam Questions (Chisinau, Moldova)
- 16th
BMO 1999 Exam Questions + Solutions (Ohrid, Macedonia)
- 15th BMO
1998 Exam Questions (Nicosia, Cyprus)
- 14th BMO
1997 Exam Questions (Kalampaka, Greece)
- 13th BMO
1996 Exam Questions (Bacau, Romania)
- 12th BMO
1995 Exam Questions ( Plovdiv, Bulgaria)
- 11th BMO
1994 Exam Questions (Novi Sad, Yugoslavia)
- 10th BMO
1993 Exam Questions (Nicosia, Cyprus)
- 9th BMO 1992
Exam Questions (Athens, Greece)
- 8th BMO 1991
Exam Questions (Constanta, Romania)
- 7th BMO 1990
Exam Questions (Sofia, Bulgaria)
- 6th BMO 1989
Exam Questions (Split, Yugoslavia)
- 5th BMO 1988
Exam Questions (Nicosia, Cyprus)
- 4th BMO 1987
Exam Questions (Athens, Greece)
- 3rd BMO 1986
Exam Questions (Bucharest, Romania)
- 2nd BMO 1985
Exam Questions (Sofia, Bulgaria)
- 1st BMO 1984
Exam Questions (Athens, Greece)
Bay Area Mathematical Olympiad (BAMO) (
Unofficial
Site)
- BAMO is a local version of the USA Math Olympiad and is
sponsored jointly by the Mathematical Sciences Research Institute
(MSRI), the American Institute of Mathematics, the University of
California at Berkeley, the University of San Francisco, and Mills
College.
British Mathematical Olympiad (BMO) (
Official Site)
- Round 1 is a 3.5-hour paper with 5 problems, taken by
students in their own schools. Selection is based on performance
in the UK Senior Mathematics Challenge (UKSMC). Round 2 is a
3.5-hour paper with 4 problems, taken by students in their
own schools. Based on performances in BMO 1, up to 100 students
are invited to sit BMO 2, with selection taking account of age and
other factors.
Canadian Mathematical Olympiad (CMO) (
Official Site)
- The later papers have 5 questions though in earlier years
there were 8 or 10 questions in the paper.
Compilation Sources
- This 182 page booklet contains Olympiad type questions with
solutions used during1996 around the world in National and
Regional contests. It also has questions (no solutions) for the
year 1997. The booklet is published by "American Mathematics
Competions".
- This 224 page booklet contains Olympiad type questions with
solutions used during1997 around the world in National and
Regional contests. It also has questions (no solutions) for the
year 1998. The booklet is published by "American Mathematics
Competions".