List of International Mathematical Olympiads

International Mathematical Olympiad

The International Mathematical Olympiad is an annual six-problem, 42-point mathematical olympiad for pre-collegiate students and is the oldest of the International Science Olympiads. The first IMO was held in Romania in 1959. It has since been held annually, except in 1980...

(IMO) is an annual six-problem, two-day, international high school

High school

High school is a term used in parts of the English speaking world to describe institutions which provide all or part of secondary education. The term is often incorporated into the name of such institutions....

mathematics competition. It focuses primarily on pre-collegiate

College

A college is an educational institution or a constituent part of an educational institution. Usage varies in English-speaking nations...

mathematics

Mathematics

Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...

, and is the oldest of the International Science Olympiad

International Science Olympiad

The International Science Olympiads are a group of worldwide annual competitions in various areas of science. The competitions are designed for the 4-6 best high school students from each participating country selected through internal National Science Olympiads, with the exception of the IOL,...

s. The content ranges from precalculus to branches of mathematics such as projective

Projective geometry

In mathematics, projective geometry is the study of geometric properties that are invariant under projective transformations. This means that, compared to elementary geometry, projective geometry has a different setting, projective space, and a selective set of basic geometric concepts...

and complex geometry, functional equations and well-grounded number theory. Fields such as functional analysis

Functional analysis

Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure and the linear operators acting upon these spaces and respecting these structures in a suitable sense...

, calculus

Calculus

Calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of modern mathematics education. It has two major branches, differential calculus and integral calculus, which are related by the fundamental theorem...

, field theory

Field theory (mathematics)

Field theory is a branch of mathematics which studies the properties of fields. A field is a mathematical entity for which addition, subtraction, multiplication and division are well-defined....

(and other branches of abstract algebra

Abstract algebra

Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras...

and topology

Topology

Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...

) are generally not present on the olympiad.

The first IMO was held in Romania

Romania

Romania is a country located at the crossroads of Central and Southeastern Europe, on the Lower Danube, within and outside the Carpathian arch, bordering on the Black Sea...

in 1959. Seven countries entered – Bulgaria, Czechoslovakia, East Germany, Hungary, Poland, Romania and the Soviet Union – with the hosts finishing as the top-ranked nation. The number of participating countries has since risen: 14 countries took part in 1969, 50 in 1989, and 104 in 2009. Since the inaugural event, the Olympiad has been held annually, with the exception of 1980. As of 2011, participating countries send teams of up to six students, plus one team leader, one deputy leader, and observers.

Awards for exceptional performance include medals for a fraction of the competitors that is as close to one-half of the participants as the judges can make it, and honorable mentions for participants who solve at least one problem perfectly. This is a list of previous IMOs, the host country of each, and the city in which the olympiads were held. It also includes the cities in which each olympiad was hosted.

Olympiads

#	City/Cities	Country	Year	Date	Top-ranked country	Refs
1	Braşov Brasov Brașov is a city in Romania and the capital of Brașov County.According to the last Romanian census, from 2002, there were 284,596 people living within the city of Brașov, making it the 8th most populated city in Romania.... and Bucharest Bucharest Bucharest is the capital municipality, cultural, industrial, and financial centre of Romania. It is the largest city in Romania, located in the southeast of the country, at , and lies on the banks of the Dâmbovița River....	Romania	1959	June 23 – July 31	Romania
2	Sinaia Sinaia Sinaia is a town and a mountain resort in Prahova County, Romania. The town was named after Sinaia Monastery, around which it was built; the monastery in turn is named after the Biblical Mount Sinai...	Romania	1960	July 18 – July 25	Czechoslovakia
3	Veszprém Veszprém Veszprém is one of the oldest urban areas in Hungary, and a city with county rights. It lies approximately north of the Lake Balaton. It is the administrative center of the county of the same name.-Location:...	Hungary	1961	July 6 – July 16	Hungary
4		Czechoslovakia	1962	July 7 – June 15	Hungary
5	Warsaw Warsaw Warsaw is the capital and largest city of Poland. It is located on the Vistula River, roughly from the Baltic Sea and from the Carpathian Mountains. Its population in 2010 was estimated at 1,716,855 residents with a greater metropolitan area of 2,631,902 residents, making Warsaw the 10th most... and Wrocław	Poland	1963	July 5 – June 13	Soviet Union
6	Moscow Moscow Moscow is the capital, the most populous city, and the most populous federal subject of Russia. The city is a major political, economic, cultural, scientific, religious, financial, educational, and transportation centre of Russia and the continent...	Soviet Union	1964	June 30 – July 10	Soviet Union
7	East Berlin East Berlin East Berlin was the name given to the eastern part of Berlin between 1949 and 1990. It consisted of the Soviet sector of Berlin that was established in 1945. The American, British and French sectors became West Berlin, a part strongly associated with West Germany but a free city...	German Democratic Republic	1965	June 13 – July 13	Soviet Union
8	Sofia Sofia Sofia is the capital and largest city of Bulgaria and the 12th largest city in the European Union with a population of 1.27 million people. It is located in western Bulgaria, at the foot of Mount Vitosha and approximately at the centre of the Balkan Peninsula.Prehistoric settlements were excavated...	Kingdom of Bulgaria	1966	July 3 – July 13	Soviet Union
9	Cetinje Cetinje Cetinje , Цетиње / Cetinje , Italian: Cettigne, Greek: Κετίγνη, Ketígni) is a town and Old Royal Capital of Montenegro. It is also a historical and the secondary capital of Montenegro , with the official residence of the President of Montenegro...	Kingdom of Yugoslavia	1967	July 7 – July 13	Soviet Union
10	Moscow Moscow Moscow is the capital, the most populous city, and the most populous federal subject of Russia. The city is a major political, economic, cultural, scientific, religious, financial, educational, and transportation centre of Russia and the continent...	Soviet Union	1968	July 5 – July 18	German Democratic Republic
11	Bucharest Bucharest Bucharest is the capital municipality, cultural, industrial, and financial centre of Romania. It is the largest city in Romania, located in the southeast of the country, at , and lies on the banks of the Dâmbovița River....	Romania	1969	July 5 – July 20	Hungary
12	Keszthely Keszthely Keszthely is a Hungarian city of 21,100 inhabitants located on the western shore of Lake Balaton. It's the second largest city by the lake after Siófok....	Hungary	1970	July 8 – July 22	Hungary
13	Žilina Žilina Žilina is a city in north-western Slovakia, around from the capital Bratislava, close to both the Czech and Polish borders. It is the fourth largest city of Slovakia with a population of approximately 85,000, an important industrial center, the largest city on the Váh river, and the seat of a...	Czechoslovakia	1971	July 10 – July 21	Hungary
14	Toruń Torun Toruń is an ancient city in northern Poland, on the Vistula River. Its population is more than 205,934 as of June 2009. Toruń is one of the oldest cities in Poland. The medieval old town of Toruń is the birthplace of the astronomer Nicolaus Copernicus....	Poland	1972	July 5 – July 17	Soviet Union
15	Moscow Moscow Moscow is the capital, the most populous city, and the most populous federal subject of Russia. The city is a major political, economic, cultural, scientific, religious, financial, educational, and transportation centre of Russia and the continent...	Soviet Union	1973	July 5 – July 16	Soviet Union
16	Erfurt Erfurt Erfurt is the capital city of Thuringia and the main city nearest to the geographical centre of Germany, located 100 km SW of Leipzig, 150 km N of Nuremberg and 180 km SE of Hannover. Erfurt Airport can be reached by plane via Munich. It lies in the southern part of the Thuringian... and East Berlin East Berlin East Berlin was the name given to the eastern part of Berlin between 1949 and 1990. It consisted of the Soviet sector of Berlin that was established in 1945. The American, British and French sectors became West Berlin, a part strongly associated with West Germany but a free city...	German Democratic Republic	1974	July 4 – July 17	Soviet Union
17	Burgas Burgas -History:During the rule of the Ancient Romans, near Burgas, Debeltum was established as a military colony for veterans by Vespasian. In the Middle Ages, a small fortress called Pyrgos was erected where Burgas is today and was most probably used as a watchtower... and Sofia Sofia Sofia is the capital and largest city of Bulgaria and the 12th largest city in the European Union with a population of 1.27 million people. It is located in western Bulgaria, at the foot of Mount Vitosha and approximately at the centre of the Balkan Peninsula.Prehistoric settlements were excavated...	Kingdom of Bulgaria	1975	July 3 – July 16	Hungary
18	Lienz Lienz Lienz is a medieval town in the Austrian state of Tyrol. It is the administrative centre of the Lienz district, which covers all of East Tyrol. The municipality also includes the cadastral subdivision of Patriasdorf.-Geography:...	Austria	1976	July 2 – July 21	Soviet Union
19	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...	Kingdom of Yugoslavia	1977	July 1 – July 13	United States
20	Bucharest Bucharest Bucharest is the capital municipality, cultural, industrial, and financial centre of Romania. It is the largest city in Romania, located in the southeast of the country, at , and lies on the banks of the Dâmbovița River....	Romania	1978	July 3 – July 10	Romania
21	London London London is the capital city of :England and the :United Kingdom, the largest metropolitan area in the United Kingdom, and the largest urban zone in the European Union by most measures. Located on the River Thames, London has been a major settlement for two millennia, its history going back to its...	United Kingdom	1979	June 30 – July 9	Soviet Union
22	Washington, DC Washington, D.C. Washington, D.C., formally the District of Columbia and commonly referred to as Washington, "the District", or simply D.C., is the capital of the United States. On July 16, 1790, the United States Congress approved the creation of a permanent national capital as permitted by the U.S. Constitution....	United States	1981	July 8 – July 20	United States
23	Budapest Budapest Budapest is the capital of Hungary. As the largest city of Hungary, it is the country's principal political, cultural, commercial, industrial, and transportation centre. In 2011, Budapest had 1,733,685 inhabitants, down from its 1989 peak of 2,113,645 due to suburbanization. The Budapest Commuter...	Hungary	1982	July 5 – July 14	West Germany
24	Paris Paris Paris is the capital and largest city in France, situated on the river Seine, in northern France, at the heart of the Île-de-France region...	Early Modern France	1983	July 3 – July 12	West Germany
25	Prague Prague Prague is the capital and largest city of the Czech Republic. Situated in the north-west of the country on the Vltava river, the city is home to about 1.3 million people, while its metropolitan area is estimated to have a population of over 2.3 million...	Czechoslovakia	1984	June 29 – July 10	Soviet Union
26	Joutsa Joutsa Joutsa is a municipality of Finland.It is located in the province of Western Finland and is part of the Central Finland region. The municipality has a population of and covers an area of ofwhich is water...	Finland	1985	June 29 – July 11	Romania
27	Warsaw Warsaw Warsaw is the capital and largest city of Poland. It is located on the Vistula River, roughly from the Baltic Sea and from the Carpathian Mountains. Its population in 2010 was estimated at 1,716,855 residents with a greater metropolitan area of 2,631,902 residents, making Warsaw the 10th most...	Poland	1986	July 4 – July 15	Soviet Union United States
28	Havana Havana Havana is the capital city, province, major port, and leading commercial centre of Cuba. The city proper has a population of 2.1 million inhabitants, and it spans a total of — making it the largest city in the Caribbean region, and the most populous...	Cuba	1987	July 5 – July 16	Romania
29	Sydney Sydney Sydney is the most populous city in Australia and the state capital of New South Wales. Sydney is located on Australia's south-east coast of the Tasman Sea. As of June 2010, the greater metropolitan area had an approximate population of 4.6 million people... and Canberra Canberra Canberra is the capital city of Australia. With a population of over 345,000, it is Australia's largest inland city and the eighth-largest city overall. The city is located at the northern end of the Australian Capital Territory , south-west of Sydney, and north-east of Melbourne...	Australia	1988	July 9 – July 21	Soviet Union
30	Brunswick Braunschweig Braunschweig , is a city of 247,400 people, located in the federal-state of Lower Saxony, Germany. It is located north of the Harz mountains at the farthest navigable point of the Oker river, which connects to the North Sea via the rivers Aller and Weser....	West Germany	1989	July 13 – July 24	Mainland China
31	Beijing Beijing Beijing , also known as Peking , is the capital of the People's Republic of China and one of the most populous cities in the world, with a population of 19,612,368 as of 2010. The city is the country's political, cultural, and educational center, and home to the headquarters for most of China's...	Mainland China	1990	July 8 – July 19	Mainland China
32	Sigtuna Sigtuna Sigtuna is a locality situated in Sigtuna Municipality, Stockholm County, Sweden with 18 inhabitants in 2005. It is the namesake of the municipality even though the seat is in Märsta....	Sweden	1991	July 12 – July 23	Soviet Union
33	Moscow Moscow Moscow is the capital, the most populous city, and the most populous federal subject of Russia. The city is a major political, economic, cultural, scientific, religious, financial, educational, and transportation centre of Russia and the continent...	Russia	1992	July 10 – July 21	Mainland China
34	Istanbul Istanbul Istanbul , historically known as Byzantium and Constantinople , is the largest city of Turkey. Istanbul metropolitan province had 13.26 million people living in it as of December, 2010, which is 18% of Turkey's population and the 3rd largest metropolitan area in Europe after London and...	Turkey	1993	July 13 – July 24	Mainland China
35	Hong Kong Hong Kong Hong Kong is one of two Special Administrative Regions of the People's Republic of China , the other being Macau. A city-state situated on China's south coast and enclosed by the Pearl River Delta and South China Sea, it is renowned for its expansive skyline and deep natural harbour...	Hong Kong	1994	July 8 – July 20	United States	At the time of the Olympiad, Hong Kong was not possessed by the People's Republic of China.
36	Toronto Toronto Toronto is the provincial capital of Ontario and the largest city in Canada. It is located in Southern Ontario on the northwestern shore of Lake Ontario. A relatively modern city, Toronto's history dates back to the late-18th century, when its land was first purchased by the British monarchy from...	Canada	1995	July 13 – July 25	Mainland China
37	Bombay	India	1996	July 5 – July 17	Kingdom of Romania
38	Mar del Plata Mar del Plata Mar del Plata is an Argentine city located on the coast of the Atlantic Ocean, south of Buenos Aires. Mar del Plata is the second largest city of Buenos Aires Province. The name "Mar del Plata" had apparently the sense of "sea of the Río de la Plata region" or "adjoining sea to the Río de la Plata"...	Argentina	1997	July 18 – July 31	Mainland China
39	Taipei Taipei Taipei City is the capital of the Republic of China and the central city of the largest metropolitan area of Taiwan. Situated at the northern tip of the island, Taipei is located on the Tamsui River, and is about 25 km southwest of Keelung, its port on the Pacific Ocean...	Republic of China	1998	July 10 – July 21	Iran
40	Bucharest Bucharest Bucharest is the capital municipality, cultural, industrial, and financial centre of Romania. It is the largest city in Romania, located in the southeast of the country, at , and lies on the banks of the Dâmbovița River....	Kingdom of Romania	1999	July 10 – July 22	Mainland China Russia
41	Daejeon Daejeon Daejeon is South Korea's fifth largest metropolis and the provincial capital of Chungnam. Located in the center of the country, Daejeon had a population of over 1.5 million in 2010. It is at the crossroads of Gyeongbu railway, Honam railway, Gyeongbu Expressway, and Honam Expressway. Within the...	South Korea	2000	July 13 – July 25	Mainland China
42	Washington, DC Washington, D.C. Washington, D.C., formally the District of Columbia and commonly referred to as Washington, "the District", or simply D.C., is the capital of the United States. On July 16, 1790, the United States Congress approved the creation of a permanent national capital as permitted by the U.S. Constitution....	United States	2001	July 1 – July 14	Mainland China
43	Glasgow Glasgow Glasgow is the largest city in Scotland and third most populous in the United Kingdom. The city is situated on the River Clyde in the country's west central lowlands...	United Kingdom	2002	July 19 – July 30	Mainland China
44	Tokyo Tokyo , ; officially , is one of the 47 prefectures of Japan. Tokyo is the capital of Japan, the center of the Greater Tokyo Area, and the largest metropolitan area of Japan. It is the seat of the Japanese government and the Imperial Palace, and the home of the Japanese Imperial Family...	Japan	2003	July 7 – July 19	Kingdom of Bulgaria
45	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	2004	July 6 – July 18	Mainland China
46	Mérida Mérida, Yucatán Mérida is the capital and largest city of the Mexican state of Yucatán and the Yucatán Peninsula. It is located in the northwest part of the state, about from the Gulf of Mexico coast...	Mexico	2005	July 8 – July 19	Mainland China
47	Ljubljana Ljubljana Ljubljana is the capital of Slovenia and its largest city. It is the centre of the City Municipality of Ljubljana. It is located in the centre of the country in the Ljubljana Basin, and is a mid-sized city of some 270,000 inhabitants...	Slovenia	2006	July 6 – July 18	Mainland China
48	Hanoi Hanoi Hanoi , is the capital of Vietnam and the country's second largest city. Its population in 2009 was estimated at 2.6 million for urban districts, 6.5 million for the metropolitan jurisdiction. From 1010 until 1802, it was the most important political centre of Vietnam...	Vietnam	2007	July 19 – July 31	Russia
49	Madrid Madrid Madrid is the capital and largest city of Spain. The population of the city is roughly 3.3 million and the entire population of the Madrid metropolitan area is calculated to be 6.271 million. It is the third largest city in the European Union, after London and Berlin, and its metropolitan...	Spain	2008	July 10 – July 22	Mainland China
50	Bremen Bremen The City Municipality of Bremen is a Hanseatic city in northwestern Germany. A commercial and industrial city with a major port on the river Weser, Bremen is part of the Bremen-Oldenburg metropolitan area . Bremen is the second most populous city in North Germany and tenth in Germany.Bremen is...	Germany	2009	July 10 – July 22	Mainland China
51	Astana Astana Astana , formerly known as Akmola , Tselinograd and Akmolinsk , is the capital and second largest city of Kazakhstan, with an officially estimated population of 708,794 as of 1 August 2010...	Kazakhstan	2010	July 2 – July 14	Mainland China
52	Amsterdam Amsterdam Amsterdam is the largest city and the capital of the Netherlands. The current position of Amsterdam as capital city of the Kingdom of the Netherlands is governed by the constitution of August 24, 1815 and its successors. Amsterdam has a population of 783,364 within city limits, an urban population...	Netherlands	2011	July 13 – July 24	Mainland China

External links

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Olympiads

See also

External links