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.

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
  Geometry
  Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
  
  , number theory
  Number theory
  Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...
  
  , algebra
  Algebra
  Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures...
  
  , and combinatorics
  Combinatorics
  Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size , deciding when certain criteria can be met, and constructing and analyzing objects meeting the criteria ,...
  
   (elementary level) and last four hours each.

Greece

• Θαλής (Thalis
  Thales
  Thales of Miletus was a pre-Socratic Greek philosopher from Miletus in Asia Minor, and one of the Seven Sages of Greece. Many, most notably Aristotle, regard him as the first philosopher in the Greek tradition...
  
  ) - first round
• Ευκλείδης (Efklidis) - second round
• Αρχιμήδης (Archimidis
  Archimedes
  Archimedes of Syracuse was a Greek mathematician, physicist, engineer, inventor, and astronomer. Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. Among his advances in physics are the foundations of hydrostatics, statics and an...
  
  ) - 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

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
  Belgrade
  Belgrade is the capital and largest city of Serbia. It is located at the confluence of the Sava and Danube rivers, where the Pannonian Plain meets the Balkans. According to official results of Census 2011, the city has a population of 1,639,121. It is one of the 15 largest cities in Europe...
  
  , Yugoslavia in 1997.
• The 2nd JBMO was held in Athens
  Athens
  Athens , is the capital and largest city of Greece. Athens dominates the Attica region and is one of the world's oldest cities, as its recorded history spans around 3,400 years. Classical Athens was a powerful city-state...
  
  , Greece in 1998.
• The 3rd JBMO was held in Plovdiv
  Plovdiv
  Plovdiv is the second-largest city in Bulgaria after Sofia with a population of 338,153 inhabitants according to Census 2011. Plovdiv's history spans some 6,000 years, with traces of a Neolithic settlement dating to roughly 4000 BC; it is one of the oldest cities in Europe...
  
  , Bulgaria in 1999.
• The 4th JBMO was held in Ohrid
  Ohrid
  Ohrid is a city on the eastern shore of Lake Ohrid in the Republic of Macedonia. It has about 42,000 inhabitants, making it the seventh largest city in the country. The city is the seat of Ohrid Municipality. Ohrid is notable for having once had 365 churches, one for each day of the year and has...
  
  , Republic of Macedonia in 2000.
• The 5th JBMO was held in Nicosia
  Nicosia
  Nicosia from , known locally as Lefkosia , is the capital and largest city in Cyprus, as well as its main business center. Nicosia is the only divided capital in the world, with the southern and the northern portions divided by a Green Line...
  
  , Cyprus in 2001.
• The 6th JBMO was held in Târgu-Mureş
  Târgu-Mures
  Târgu Mureș is the seat of Mureș County in the north-central part of Romania. As of January 1, 2009 the city had a population of 145,151 inhabitants, making it the 16th most-populated city in Romania.-Names and etymology:...
  
  , Romania in 2002.
• The 7th JBMO was held in İzmir
  Izmir
  Izmir is a large metropolis in the western extremity of Anatolia. The metropolitan area in the entire Izmir Province had a population of 3.35 million as of 2010, making the city third most populous in Turkey...
  
  , Turkey in 2003.
• The 8th JBMO was held in Novi Sad
  Novi Sad
  Novi Sad is the capital of the northern Serbian province of Vojvodina, and the administrative centre of the South Bačka District. The city is located in the southern part of Pannonian Plain on the Danube river....
  
  , Yugoslavia in 2004.
• The 9th JBMO was held in Veria
  Veria
  Veria is a city built at the foot of Vermion Mountains in Greece. It is a commercial center of Macedonia, the capital of the prefecture of Imathia, the province of Imathia and the seat of a bishop of the Greek Orthodox Church...
  
  , Greece on 20–26 June 2005. http://www.hms.gr/jbmo2005/
• The 10th JBMO was held in Chişinău
  Chisinau
  Chișinău is the capital and largest municipality of Moldova. It is also its main industrial and commercial centre and is located in the middle of the country, on the river Bîc...
  
  , Moldova on 25–30 June 2006. http://dbsrv.asm.md/jbmo/
• The 11th JBMO was held in Shumen
  Shumen
  Shumen is the tenth-largest city in Bulgaria and capital of Shumen Province. In the period 1950–1965 it was called Kolarovgrad, after the name of the communist leader Vasil Kolarov...
  
  , Bulgaria on 25–30 June 2007.http://www.jbmo.eu
• The 12th JBMO was held in Vlorë
  Vlorë
  Vlorë is one of the biggest towns and the second largest port city of Albania, after Durrës, with a population of about 94,000 . It is the city where the Albanian Declaration of Independence was proclaimed on November 28, 1912...
  
  , Albania on 23–28 June 2008.
• The 13th JBMO was held in Sarajevo
  Sarajevo
  Sarajevo |Bosnia]], surrounded by the Dinaric Alps and situated along the Miljacka River in the heart of Southeastern Europe and the Balkans....
  
  , Bosnia and Herzegovina on 25–30 June 2009.
• The 14th JBMO was held in Olanesti
  Olăneşti
  Olăneşti is a commune in Ştefan Vodă district, Moldova. It is composed of a single village, Olăneşti....
  
  , Vâlcea County
  Vâlcea County
  Vâlcea is a county of Romania, in the historical regions of Oltenia and Muntenia...
  
  , Romania on 18–22 June 2010.http://fmi.unibuc.ro/jbmo2010/
• The 15th JBMO was held in Larnaca
  Larnaca
  Larnaca, is the third largest city on the southern coast of Cyprus after Nicosia and Limassol. It has a population of 72,000 and is the island's second largest commercial port and an important tourist resort...
  
  , Cyprus on 19-24 June 2011. http://jbmo2011-cyprus.eu/

External links

• Problems and solutions from all JBMOs