Problem Collection for Balkan Mathematical Olympiad
HistoryThe Balkan Mathematical Olympiad (BMO) is a mathematical competition for high-school students from the region of Balkan.
The first BMO was organized in Greece in 1984. That year four countries competed: Bulgaria, Cyprus, Greece and Romania. Since then, the competition has been held annually. Nowadays there are ten member coutries of BMO: Albania, Bosnia & Herzegovina, Bulgaria, Cyprus, Greece, FYR Macedonia, Moldova, Romania, Serbia & Montenegro, Turkey. However, the hosting country may invite guest teams to participate.
The CompetitionEach country sends up to six contestants, a team leader and a deputy leader. Like the IMO, this is an individual competition. On the competition students are given 4.5 hours to solve 4 problems. Each problem is worth 10 points, making 40 the maximum possible score.
AwardsSuccessful contestants are awarded first, second, and third prizes. A honorable mention is awarded to each student who does not receive a prize, but who has obtained 10 points on at least one question. The total number of prizes should not exceed 2/3 of participans, and the first, second, and third prizes are distributed approximately in the ratio 1:2:3.
Past and Future BMOs1-st BMO - Athens, Greece, 1984.
2-nd BMO - Sofia, Bulgaria, 1985.
3-rd BMO - Bucharest, Romania, 1986.
4-th BMO - Athens, Greece, 1987.
5-th BMO - Nicosia, Cyprus, 1988.
6-th BMO - Split, Yugoslavia, 1989.
7-th BMO - Sofia, Bulgaria, 1990.
8-th BMO - Constanța, Romania, 1991.
9-th BMO - Athens, Greece, 1992.
10-th BMO - Nicosia, Cyprus, 1993.
11-th BMO - Novi Sad, Yugoslavia (S & M), 1994.
12-th BMO - Plovdiv, Bulgaria, 1995.
13-th BMO - Bacău, Romania, 1996.
14-th BMO - Kalabaka, Greece, April 28-May 4, 1997.
15-th BMO - Nicosia, Cyprus, May 3-9, 1998.
16-th BMO - Ohrid, FYR Macedonia, May 6-12, 1999.
17-th BMO - Chișinău, Moldova, May 3-9, 2000.
18-th BMO - Belgrade, Yugoslavia (S & M), May 3-9, 2001.
19-th BMO - Antalya, Turkey, April 25-May 1, 2002.
20-th BMO - Tirana, Albania, May 2-8, 2003.
21-st BMO - Pleven, Bulgaria, May 5-11, 2004.
22-nd BMO - Iași, Romania, May 4-10, 2005.
23-rd BMO - Agros, Cyprus, April 27-May 3, 2006.
24-th BMO - Rhodes, Greece, April 26-May 2, 2007.
25-th BMO - Ohrid, FYR Macedonia, 2008.
26-th BMO - Kragujevac, Serbia, 2009.
27-th BMO - Chișinău, Moldova, 2010.
28-th BMO - Iași, Romania, 2011.
29-th BMO - Turkey, 2012.
ProblemsThe total number of available problems is 104.
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