Junior Balkan Mathematical Olympiad

The Junior Balkan Mathematical Olympiad (JBMO) is an annual contest for students under the age of 15.5 from one of the member countries (Balkan area). In recent years the hosts have also invited some non-member guest countries.

Contents 1 Member countries 1.1 Albania 1.2 Bosnia & Herzegovina 1.3 Bulgaria 1.4 Cyprus 1.5 Greece 1.6 Macedonia 1.7 Republic of Moldova 1.8 Romania 1.9 Serbia & Montenegro 1.10 Turkey 2 Past JBMOs 3 See also 4 External links

Member countries

Albania

• JBMO 2008 - Alb2 Disel Spahija - Bronze Medal Winner
• JBMO 2009 - Alb1 Florida Ahmetaj - Bronze Medal Winner
• JBMO 2009 - Alb2 Olsi Leka - Bronze Medal Winner
• JBMO 2009 - Alb3 Gledis Kallco - Silver Medal Winner
• JBMO 2009 - Alb4 Ledio Bidaj - Bronze Medal Winner
• JBMO 2009 - Alb6 Laura Lutaj - Bronze Medal Winner

Bosnia & Herzegovina

• JBMO 2006: 1. Admir Beširević 2. Zlatan Tucaković 3. Krstina Krsmanović 4. Adnan Ademović 5. Nikolina Đekanović 6. Alija Bevrnja
• JBMO 2007: 1. Zlatan Tucaković 2. Igor Lučić 3. Faris Brkić 4. Jelena Stjepanović 5. Borivoje Jovanović
• JBMO 2008: 1. Ratko Darda 2. Osman Mehinagić 3. Edin Husić 4. Vladimir Ivković 5. Faruk Mustafić 6. Dejan Gvozdenac
• JBMO 2009: 1. Harun Hindija 2. Dejan Gvozdenac 2. Faruk Mustafić 4. Dajana Cvijić 5. Aleksandar Novaković 6. Hadžem Hadžić
• JBMO 2009(team 2): 1.Abdulah Jašarević 2.Marko Rajković 3.Ivona Jurošević 4.Irma Hadžić 5.Milica Malešević 6.Stipe Jurčević

Bulgaria

JBMO 2007:

• BUL1. Mladen Vulkov - Silver Medal
• BUL2. Daniel Djevelekov - Gold Medal
• BUL3. Zhivko Zhechev - Gold Medal
• BUL4. Kubrat Danailov - Gold Medal
• BUL5. Diliana Mincheva - Silver Medal
• BUL6. Ani Ivanova - Silver Medal

JBMO 2008:

• BUL1. Zhivko Zhechev - Gold Medal
• BUL2. Rafael Rafailov - Silver Medal
• BUL3. Radoslav Kafov - Silver Medal
• BUL4. Bogdan Stankov - Gold Medal
• BUL5. Nikola Konstantinov - Bronze Medal
• BUL6. Aleksandrina Stoyanova - Silver Medal

JBMO 2009:

• BUL1. Radoslav Komitov - Gold Medal
• BUL2. Peter Penkov - Silver Medal
• BUL3. Ivo Kortezov - Gold Medal
• BUL4. Pavlena Nenova - Silver Medal
• BUL5. Kristian Mitov - Silver Medal
• BUL6. Todor Markov - Silver Medal

JBMO 2010:

• BUL1. Nguyen Chi Dung - Gold Medal
• BUL2. Viktor Radivchev - Silver Medal
• BUL3. Pavlena Nenova - Silver Medal
• BUL4. Yordan Yordanov - Gold Medal
• BUL5. Velina Ivanova - Silver Medal
• BUL6. Georgi Pramatarov - Silver Medal

JBMO 2011:

• BUL1. Emiliyan Rogachev - Silver Medal
• BUL2. Lyuben Lichev - Silver Medal
• BUL3. Pavlena Nenova - Gold Medal
• BUL4. Alexander Tenev - Silver Medal
• BUL5. Gregorian Pirindev - Silver Medal
• BUL6. Petar Penkov - Gold Medal

Cyprus

In Cyprus Four provincial competitions and a National (Pancyprian) competition are held every year. During this procedure 30 students are selected and Four Team Selection Tests are held to determine who will be the six member of national team for JBMO

• In every competition or test there are four problem usually covering geometry, number theory, algebra, and combinatorics (elementary level) and last four hours each.

Greece

• Θαλής (Thalis) - first round
• Ευκλείδης (Efklidis) - second round
• Αρχιμήδης (Archimidis) - third round

Macedonia

JBMO 1999:

1. Ilija Jovceski
2. Stojan Trajanovski
3. Mihajlo Mihajlovski
4. Olivera Dimovska
5. Julijana Gjeorgieva

JBMO 2000: Team A:

1. Ilija Jocevski
2. Zoran Dimov
3. Cvetanka Acevska
4. Marina Zaharieva
5. Jovana Jovanova

Team B:

1. Irina Panovska
2. Stojan Trajanovski
3. Petre Lameski
4. Borce Petrov
5. Anita Pelovska

• JBMO 2001: 1. Vesna Kirandziska 2. Anita Pelovska 3. Angel Stanoev 4. Ilinka Cekova 5. Tanja Velkovska 6. Jana Giceva
• JBMO 2005: 1. Bodan Arsovski 2. Matej Dobrevski 3. Bojan Joveski 4. Andrej Risteski 5. Igor Sudiovski 6. Dimitar Trenevski
• JBMO 2006: 1. Bodan Arsovski 2. Martin Jankulovski 3. Predrag Gruevski 4. Zlatko Joveski 5. Petar Filev 6. Dimitar Trenevski

JBMO 2007:

1. Predrag Gruevski
2. Nikola Jovanovski
3. Darko Domazetovski
4. Metodij Hristovski
5. Muhamed Kujundzic
6. Stefan Stojcevski

JBMO 2008:

1. Monika Bozinova
2. Aleksandar Momirovski
3. Stefan Stojcevski
4. Viki Peeva
5. Dimitrij Mijoski
6. Kliment Trajceski

JBMO 2009:

1. Vasil Kuzevski
2. Bojan Serafimov
3. Filip Stankovski
4. Despina Stefanoska
5. Rosica Dejanovska
6. Damjan Angelovski

JBMO 2010:

1. Vasil Kuzevski
2. Leart Taravari
3. Bojan Serafimov
4. Jovan Krajevski
5. Marko Markoski
6. Andrej Patoski

Republic of Moldova

• JBMO 2007: 1. Alexei Zbirnea 2. Alexandru Grigoroi 3. Iulian Gramatki 4. Teodor Godina 5. Anastasia Dosca 6. Angelica Linu.
• JBMO 2008: 1. Teodor Godina 2. Andrei Ivanov 3. Mihai Indricean 4. Silviu Nedelciuc 5. Cristian Zanoci 6. Cristian Cerneanu.
• JBMO 2009: 1. Cristian Zanoci 2. Profir-Petru Pârţachi 3. Andrian Vişanu 4. Nicolae Şapoval 5. Artur Măntăluţă 6. Serafim Buiucli

Romania

In Romania after the National competition the first 20 students from the 7th grade, the first 20 from the 8th grade and all the 9th graders that have the required age for going to the JBMO (less than 15.5 years) give the first set of two team selection tests. After this, only 20 remain. A month later, after a week of learning maths in Bucharest, another set of two team selection tests are given. The first 12 with the highest cumulative points go to the next stage. Again after a month and 2 selection tests the final 6 students are selected and have the honor of representing Romania at the JBMO.

JBMO 2004:

1. Ilie Livia
2. Munteanu Sînziana
3. Persu Mădălina-Elena
4. Dumitrescu Mihail-Eugen
5. Goşea Ion-Victor
6. Hurmuz Daniel

JBMO 2005:

1. Prodescu Corneliu
2. Persu Madalina
3. Bozgan Francisc
4. Pădureanu Victor
5. Stoican Stefan
6. Matican Bogdan

JBMO 2007:

1. Chindea Filip
2. Bumbăcea Radu
3. Filip Laurian
4. Tiba Marius
5. Ciolan Alexandru
6. Muntean Alexandru

JBMO 2008:

1. Bumbăcea Radu
2. Milu Alexandru
3. Ivanovici Ştefan
4. Muntean Alexandru
5. Cerrahoğlu Ömer
6. Dănăilă Dan

JBMO 2009:

1. Cerrahoğlu Ömer
2. Anita Stefana Lucia
3. Dănăilă Dan
4. Foszto Monica
5. Barbu Mihai Florin
6. Constantinescu Petru

JBMO 2010:
Team A:

1. Cerrahoğlu Ömer
2. Tran Bach Hai
3. Gramatovici Ştefan-Cosmin
4. Toma Florina
5. Pripoae Silvia
6. Nicolaescu Horia

Team B:

1. Măgălie Andreea
2. Spătaru Ştefan
3. Frăsineanu Vlad
4. Fetoiu Cătălin
5. Diaconu Simona
6. Anghel Daniel

JBMO 2011:

1. Bocanu Marius
2. Diaconu Simona
3. Spătaru Ştefan
4. Gramatovici Ştefan-Cosmin
5. Măgălie Andreea
6. Andronache Teodor Andrei

Serbia & Montenegro

• JBMO 2004: 1. Bojan Lazic 2. Aleksandar Trokicic 3. Marko Jevremovic 4. Marija Jelic 5. Ivana Petrovic 6. Laura Cizmadija
• JBMO 2005: 1. Jelena Markovic 2. Miklos Homolja 3. Boban Karapetrovic 4. Dusan Milijancevic 5. Ognjen Ivkovic 6. Teodor von Burg
• JBMO 2006: 1. Dusan Milijancevic 2. Luka Milicevic 3. Teodor von Burg 4. Mihajlo Cekic 5. Matija Milovic 6. Aleksandar Vasiljkovic
• JBMO 2007: 1. Teodor von Burg 2. Vukasin Stojisavljevic 3. Filip Zivanovic 4. Dusan Sobot 5. Stevan Gajovic 6. Veljko Panic
• JBMO 2008: 1. Teodor von Burg 2. Stevan Gajovic 3. Rade Spegar 4. Igor Spasojevic 5. Nevena Nikolic 6. Lola Spasic
• JBMO 2009: 1. Dusan Sobot 2. Lazar Mojsilovic 3. Stefan Spalevic 4. Dusan Drobnjak 5. Bojan Rosko 6. Srdjan Stefanovic
• JBMO 2010: 1. Ivan Tanasijevic 2. Lazar Mojsilovic 3. Bogdana Jelic 4. Dusan Drobnjak 5. Bojan Rosko 6. Jelena Trisovic
• JBMO 2011: 1. Ivan Damjanovic 2. Maksim Stokic 3. Grbic Branko 4. Andjela Sarkovic 5. Marijana Vujadinovic 6. Bogdana Jelic

Turkey

• JBMO 2006: 1. Melih Üçer 2. Salih Kavuncu 3. Muhammed Said Gündoğan 4. Emre Ersegün Günay 5. Alper İnecik 6. Yunus Emre Memmi
• JBMO 2008: 1. Fatih Atali 2. Yunus Emre Demirci 3. Polatkan Polat 4. Muhammed İkbal Ulvi 5. Sevde Vardar 6. Mehmet Akif Yıldız
• JBMO 2009: 1. Ufuk Kanat 2. Mehmet Efe Akengin 3. Berfin Şimşek 4. Ahmed Furkan Özkalay 5. Ömer Burak Onar 6. Yunus Emre Demirci
• JBMO 2010: 1.Mehmet Efe Akengin 2.Berfin Şimşek 3.Burak Varıcı 4.Abdullatif Köksal 5.Hakan Özen 6. Muhammed Zahid Öztürk

Past JBMOs

• The 1st JBMO was held in Belgrade, Yugoslavia in 1997.
• The 2nd JBMO was held in Athens, Greece in 1998.
• The 3rd JBMO was held in Plovdiv, Bulgaria in 1999.
• The 4th JBMO was held in Ohrid, Republic of Macedonia in 2000.
• The 5th JBMO was held in Nicosia, Cyprus in 2001.
• The 6th JBMO was held in Târgu-Mureş, Romania in 2002.
• The 7th JBMO was held in İzmir, Turkey in 2003.
• The 8th JBMO was held in Novi Sad, Yugoslavia in 2004.
• The 9th JBMO was held in Veria, Greece on 20–26 June 2005. [1]
• The 10th JBMO was held in Chişinău, Moldova on 25–30 June 2006. [2]
• The 11th JBMO was held in Shumen, Bulgaria on 25–30 June 2007.[3]
• The 12th JBMO was held in Vlorë, Albania on 23–28 June 2008.
• The 13th JBMO was held in Sarajevo, Bosnia and Herzegovina on 25–30 June 2009.
• The 14th JBMO was held in Olanesti, Vâlcea County, Romania on 18–22 June 2010.[4]
• The 15th JBMO was held in Larnaca, Cyprus on 19-24 June 2011. [5]

See also

• Balkan Mathematical Olympiad

External links

• Problems and solutions from all JBMOs