Problem Collection for Balkan Mathematical Olympiad

History

The 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 Competition

Each 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.

Awards

Successful 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 BMOs

1-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.

Problems

The total number of available problems is 104.
 1984    BMO  
 1985    BMO  
 1986    BMO  
 1987    BMO  
 1988    BMO  
 1989    BMO  
 1990    BMO  
 1991    BMO  
 1992    BMO  
 1993    BMO  
 1994    BMO  
 1995    BMO  
 1996    BMO  
 1997    BMO  
 1998    BMO  
 1999    BMO  
 2000    BMO  
 2001    BMO  
 2002    BMO  
 2003    BMO  
 2004    BMO  
 2005    BMO  
 2006    BMO  
 2007    BMO  
 2008    BMO  
 2009    BMO  
 2010    BMO
 2011    BMO
 2012    BMO
 2013    BMO
 2014    BMO
 2015    BMO
 2016    BMO
 2017    BMO
 2018    BMO
 2019    BMO

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