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 - Constanţa, 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 - Chişinău, 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 - Iaşi, 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 - Chişinău, Moldova, 2010.
28-th BMO - Iaşi, 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