Mathematics competitions or mathematical olympiads are competitive events where participants write a 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...

 test. These tests may require multiple choice or numeric answers, or a detailed written solution or proof. In the United States, usually only competitions where the participants write a full proof are called Mathematical Olympiads.

International mathematics competitions

• International Mathematical Olympiad
  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) — The oldest international Olympiad, occurring annually since 1959.
• World Maths Day (WMD); uniting the world in numbers, open to all school aged children globally
• AIMMS/MOPTA Optimization Modelling Competition for university students, held annually.
• Vojtěch Jarník International Mathematical Competition (VJIMC) — international competition for undergraduate students. The Competition is held at the University of Ostrava every year in March or April.
• China Girls Math Olympiad
  China Girls Math Olympiad
  The China Girls Math Olympiad is a math competition with a proof-based format similar to the International Math Olympiad. It was originally organized in 2002 for teams of girls representing different regions within China. Later, the Chinese organizers decided to invite other nations to send teams...
  
   (CGMO) — Olympiad held annually in different cities in China
  People's Republic of China
  China , officially the People's Republic of China , is the most populous country in the world, with over 1.3 billion citizens. Located in East Asia, the country covers approximately 9.6 million square kilometres...
  
   for teams of girls representing regions within China and a number of other countries as well.
• World Mathematics Challenge (WMC) — an international competition for high school students.
• International Mathematics Competition for University Students
  International Mathematics Competition for University Students
  The International Mathematics Competition for University Students is an annual mathematics competition open to all undergraduate students of mathematics. It is held at a different location each year at the end of July or beginning of August....
  
   (IMC) — international competition for undergraduate students.
• International Scientific Olympiad on Mathematics for Undergraduate University Students (ISOM) — competition for undergraduates held annually in Iran
  Iran
  Iran , officially the Islamic Republic of Iran , is a country in Southern and Western Asia. The name "Iran" has been in use natively since the Sassanian era and came into use internationally in 1935, before which the country was known to the Western world as Persia...
  
  .
• International Schools Mathematics Teachers Foundation (ISMTF) — annual competition for high school students attending an international school. Held every year in a different school.
• Invitational World Youth Mathematics Intercity Competition (IWYMIC) — held annually for students under 15.5 years old worldwide.
• South Eastern European Mathematical Olympiad for First and Second Year University Students with International Participation (SEEMOUS) — competition for the Balkan region; however, participation is international. The first Olympiad was held in Agros
  Agros, Cyprus
  Agros is a village built on the Troödos Mountains, in the region of Pitsilia, in southwest Cyprus, which has built amphitheatrically among high mountains at an altitude of 1100 metres with a population of approximately 1,000. Agros is one of the most interesting villages of Cyprus and the...
  
  , Cyprus
  Cyprus
  Cyprus , officially the Republic of Cyprus , is a Eurasian island country, member of the European Union, in the Eastern Mediterranean, east of Greece, south of Turkey, west of Syria and north of Egypt. It is the third largest island in the Mediterranean Sea.The earliest known human activity on the...
  
  , 7–12 March 2007, the second 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
  Greece
  Greece , officially the Hellenic Republic , and historically Hellas or the Republic of Greece in English, is a country in southeastern Europe....
  
  , 5–10 March 2008, the third in Agros
  Agros, Cyprus
  Agros is a village built on the Troödos Mountains, in the region of Pitsilia, in southwest Cyprus, which has built amphitheatrically among high mountains at an altitude of 1100 metres with a population of approximately 1,000. Agros is one of the most interesting villages of Cyprus and the...
  
  , Cyprus
  Cyprus
  Cyprus , officially the Republic of Cyprus , is a Eurasian island country, member of the European Union, in the Eastern Mediterranean, east of Greece, south of Turkey, west of Syria and north of Egypt. It is the third largest island in the Mediterranean Sea.The earliest known human activity on the...
  
  , 4–9 March 2009, the fourth 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
  Bulgaria
  Bulgaria , officially the Republic of Bulgaria , is a parliamentary democracy within a unitary constitutional republic in Southeast Europe. The country borders Romania to the north, Serbia and Macedonia to the west, Greece and Turkey to the south, as well as the Black Sea to the east...
  
  , 8–13 March 2010, the fifth in 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
  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...
  
  , 2–6 March 2011, the sixth is to be held in Blagoevgrad
  Blagoevgrad
  Blagoevgrad is а city in southwestern Bulgaria, the administrative centre of Blagoevgrad Province, with a population of about 74,302 . It lies on the banks of the Blagoevgradska Bistritsa River....
  
  , Bulgaria
  Bulgaria
  Bulgaria , officially the Republic of Bulgaria , is a parliamentary democracy within a unitary constitutional republic in Southeast Europe. The country borders Romania to the north, Serbia and Macedonia to the west, Greece and Turkey to the south, as well as the Black Sea to the east...
  
   in March 2012. (http://www.seemous.eu/, http://seemous2010.fmi-plovdiv.org/ and http://fmi.unibuc.ro/seemous2011/)
• Mathematical Contest in Modeling
  Mathematical Contest in Modeling
  The Mathematical Contest in Modeling is a multi-day mathematics competition held annually in USA, during the first or second weekend in February, since 1985 by COMAP and sponsored by SIAM, the NSA, and INFORMS...
  
   (MCM) — team contest for undergraduates
• Interdisciplinary Contest in Modeling
  Interdisciplinary Contest in Modeling
  The Interdisciplinary Contest in Modeling is a multi-day mathematics competition held annually by COMAP and sponsored by SIAM, the NSA, and INFORMS...
  
   (ICM) — team contest for undergraduates
• Purple Comet! Math Meet — annual on-line team contest for high school & middle school
• Math exercises for kids — Daily worldwide competition
• Primary Mathematics World Contest
  Primary Mathematics World Contest
  The Primary Mathematics World Contest or PMWC takes place every year in Hong Kong. It was first held in 1997, and is sponsored by the Po Leung Kuk organization. The competition has attracted teams from around the world...
  
   (PMWC) — worldwide competition.
• Tournament of the Towns
  Tournament of the Towns
  The Tournament of the Towns is a town-based mathematics contest originating in Russia...
  
   — worldwide competition.
• Mathematical Kangaroo
  Mathematical Kangaroo
  Mathematical Kangaroo is an international mathematical competition with more than 40 countries that take an active part in it. There are twelve levels of participation: from grade 1 to grade 12. The competition is held annually on the third Thursday of March...
  
   — worldwide competition.
• Championnat International de Jeux Mathématiques et Logiques
  Championnat International de Jeux Mathématiques et Logiques
  The Championnat International des Jeux Mathématiques et Logiques is an international mathematics competition mainly for French-speaking countries, but participation is not limited by language....
  
   — for all ages, mainly for French-speaking countries, but participation is not limited by language.
• Romanian Master of Mathematics and Sciences — This is an olympiad for the selections of the 20 top countries in the last IMO. The level of the competition is IMO-like. The format had been 4 problems in 5 hours in 2009, in 2010 it was changed to 3 problems in 4 hours, two days format.
• Rocket City Math League
  Rocket City Math League
  Rocket City Math League is the only exclusively student-run international mathematics competition in the United States. Run by students at Virgil I. Grissom High School in Huntsville, Alabama, RCML gets its name from Huntsville's nickname as the "Rocket City"...
  
   (RCML) — This is a mathematics competition run by students at Virgil I. Grissom High School with levels ranging from Explorer (Pre-Algebra) to Discovery (Comprehensive).
• Mental Calculation World Cup
  Mental Calculation World Cup
  -Mental Calculation World Cup 2004:The first Mental Calculation World Cup was held in Annaberg-Buchholz, Germany on 30 October 2004. There were 17 participants from 10 countries.The World Cup involved the following contests :...
  
   — a contest for the best mental calculators
• 'Online Math' Event of the annual technical festival Shaastra
  Shaastra
  Shaastra is the annual technical festival of Indian Institute of Technology Madras , Chennai, India. The Sanskrit word ‘Shaastra’ means science and the festival accordingly consists of various science and technology based competitions, symposia, lectures, video conferences, exhibitions,...
  
  , Indian Institute of Technology Madras
  Indian Institute of Technology Madras
  The Indian Institute of Technology Madras is an engineering and technology school in Chennai in southern India. It is recognized as an Institute of National Importance by the Government of India...
  
   (IITM), Chennai, India. (http://www.shaastra.org/2009/events/online_events/online_math, http://www.shaastra.org/2010/main/events/online_events/online_math and http://www.shaastra.org/2011/main/events/OnlineMathChamp/)
• International Internet Mathematical Olympiad for Students organized by Ariel University Center of Samaria (http://www.i-olymp.net/ and http://www.ariel.ac.il/cs/projects/dom/itpm/)
• International Tournament of Young Mathematicians (ITYM)
• Mathorcup Global Mathematical Modeling Challenge (MGMMC) — team contest for undergraduates
• Open International Project - Mathematics Online Competition "Eruditus" for Students

Regional mathematics competitions

• AITMO (Asian Inter-city Teenagers Mathematics Olympiad) — for junior secondary students around the Eastern Asian region
• APMO (Asian Pacific Mathematics Olympiad
  Asian Pacific Mathematics Olympiad
  The Asian Pacific Math Olympiad starting from 1989 is a regional mathematics competition which involves countries from the Asian Pacific region. The USA also takes part in the APMO...
  
  ) — Pacific rim
• APMCM (Asian Pacific Mathematics Contest in Modeling) — Pacific rim
• Balkan Mathematical Olympiad
  Balkan Mathematical Olympiad
  The Balkan Mathematical Olympiad is an annual contest for students from one of the member countries . In recent years the hosts have also invited some non-member guest countries.- Member countries :* Albania...
  
   — for students from 15.5 years old from Balkan area
• Baltic Way
  Baltic Way (mathematical contest)
  The Baltic Way mathematical contest has been organized annually since 1990, usually in early November, to commemorate the Baltic Way demonstration of 1989. Unlike most international mathematical competitions, Baltic Way is a true team contest...
  
   — Baltic area
• ICAS-Mathematics
  International Competitions and Assessments for Schools
  International Competitions and Assessments for Schools is a suite of six full-colour competitions designed specifically for primary and secondary students. ICAS are conducted annually in Australia and in over 20 countries in Asia, Africa, Europe, Pacific and the USA. Top scoring students in each...
  
   (http://www.eaa.unsw.edu.au/about_icas/mathematics, formerly Australasian Schools Mathematics Assessment)
• Junior Balkan Mathematical Olympiad
  Junior Balkan Mathematical Olympiad
  The Junior Balkan Mathematical Olympiad is an annual contest for students under the age of 15.5 from one of the member countries...
  
   — for students under 15.5 years old from Balkan area
• BxMO (Benelux
  Benelux
  The Benelux is an economic union in Western Europe comprising three neighbouring countries, Belgium, the Netherlands, and Luxembourg. These countries are located in northwestern Europe between France and Germany...
  
   Mathematical Olympiad) — since 2009
• EGMO (European Girls' Mathematical Olympiad) — starts April 2012
• MEMO (Middle European Mathematical Olympiad) — Germany, Croatia, Austria, Poland, Switzerland, Slovakia, Slovenia, Czech Republic, Hungary
• NMC (Nordic Mathematical Contest) — the five Nordic countries
  Nordic countries
  The Nordic countries make up a region in Northern Europe and the North Atlantic which consists of Denmark, Finland, Iceland, Norway and Sweden and their associated territories, the Faroe Islands, Greenland and Åland...
  
  
• Nordic university-level mathematics team-competition — For Nordic undergraduates
• OIM (Olimpíadas Iberoamericanas de Matemática) — Spain, Portugal and Latin America
• Olimpiada de mayo (competitions for selecting the participants of Olimpiada Matematica Rioplatence)
• Olimpiada Iberoamericana de Matematicas para Estudiantes Universitarios (similar to Olimpiada Iberoamericana de Matematica, but for collage students)
• Olimpiada Matematica Rioplatense (similar to Olimpiada Iberoamericana de Matematica, but it is every year in Argentina and participants are organized in levels depending on the age)
• Olimpiada Matematica de Centroamérica y del Caribe — Central America and the Caribbean
• Olimpiada Matematica de Paises del Cono Sur — 8 countries from South America
• SEAMO (SEAMEO Mathematics Olympiad
  SEAMEO Mathematics Olympiad
  The Southeast Asian Mathematics Olympiad, or SEA-MO, is the Regional Mathematics Competition in Southeast Asia. This competition is organised by the Southeast Asian Ministers of Education Organization Regional Centre for Education in Science and Mathematics , which bases its operations in Penang,...
  
  ) — South-East Asia
• SEAMC (South East Asian Mathematics Competition
  South East Asian Mathematics Competition
  The South East Asian Mathematics Competition is a 4-day math competition held in a predesignated location in South East Asia.- Location:The location of the SEAMC rotates between different cities in South East Asia...
  
  ) — South-East Asia
• William Lowell Putnam Mathematical Competition
  William Lowell Putnam Mathematical Competition
  The William Lowell Putnam Mathematical Competition, often abbreviated to the Putnam Competition, is an annual mathematics competition for undergraduate college students of the United States and Canada, awarding scholarships and cash prizes ranging from $250 to $2,500 for the top students and $5,000...
  
   — USA and Canada
• APMOPS (Singapore - Asia Pacific Mathematical Olympiad for Primary Schools) — open to Primary Students under 12 in Australia, Brunei, China (Shanghai, Hainan, Xiamen, Wenchou), Hong Kong, Indonesia (Jakarta), Malaysia: (Johor, Kuala Lumpur, Selangor- Petaling Jaya), Penang, Perak- Ipoh, Kedah), New Zealand, Singapore, South Korea, Taiwan, Philippines, and India.
• ZIMO (Zhautykov International Mathematical Olympiad) — for teams from specialized schools in post-soviet region
• Hungary-Israel Mathematical Competition. It was established in 1990. Only this 2 countries participate and one is the host. It is hold in spring. It consist of individual and team contests.
• Tuymaada Yakut Olympiad. Multidisciplinary competition for students from Romania, Kazakhstan, Moldova, Tartastan, Saint Petersburg, Irkutsk, Vladivostok, Novokuznetsk, Perm and other Russian cities. It is held in July; few students obtain prizes.
• Donova Mathematical Olympiad. Olympiad for all countries through which the Danube passes. Held since 2005.
• Mediterranean Mathematics Olympiad. Olympiad for countries in the Mediterranean zone.
• PAMO (Pan African Mathematics Olympiad)
• APMC (Austrian-Polish Mathematics Competition) (last held in 2006)
• Czech-Polish-Slovak Match. Established in 1995 under the name of Czech-Slovak Match Poland joined in 2001. It is held in June in the IMO format.
• Open International Project - Mathematics Online Competition "Eruditus" for Students

Argentina

• OMA (Olimpíada Matemática Argentina, http://www.oma.org.ar)
• Olimpiada Matematica Ñandu
• Certamen "El numero de oro"
• Torneo Computacion y Matematicas

Australia

• APSMO (Australasian Problem Solving Mathematical Olympiads, http://www.apsmo.info)
• AMC (Australian Maths Challenge, http://www.mathletics.com.au/challenge)
• AMC (Australian Mathematics Competition
  Australian Mathematics Competition
  The Australian Mathematics Competition is a mathematics competition run by the Australian Mathematics Trust for students from year 3 up to year 12 in Australia, and their equivalent grades in other countries...
  
  , http://www.amt.edu.au)
• AMO (Australian Mathematical Olympiad, http://www.amt.edu.au)
• AIMO (Australian Intermediate Mathematical Olympiad)
• UNSW School Mathematics Competition
• HSFOL (Have Sum Fun Online) - an online team competition from the Mathematics Association of West Australia
  The Australian Association of Mathematics Teachers
  The Australian Association of Mathematics Teachers is the main representative organisation of mathematics teachers in Australia. Membership is via affiliated state organisations...
  
   

Bangladesh

• Bangladesh Mathematical Olympiad(Jatio Gonit Utshob)

Belgium

French

French language

French is a Romance language spoken as a first language in France, the Romandy region in Switzerland, Wallonia and Brussels in Belgium, Monaco, the regions of Quebec and Acadia in Canada, and by various communities elsewhere. Second-language speakers of French are distributed throughout many parts...

-speaking students from Belgium and Luxembourg can compete in the OMB (Olympiade Mathématique Belge

Olympiade Mathématique Belge

The Olympiade Mathématique Belge is a mathematical competition for students in grades 7 to 12, organised each year since 1976. Only students from the French community participate, Dutch-speaking students can compete in the Vlaamse Wiskunde Olympiade....

) consisting of three categories:

• Mini (grades 7 and 8)
• Mide (grades 9 and 10)
• Maxi (grades 11 and 12)

Dutch

Dutch language

Dutch is a West Germanic language and the native language of the majority of the population of the Netherlands, Belgium, and Suriname, the three member states of the Dutch Language Union. Most speakers live in the European Union, where it is a first language for about 23 million and a second...

-speaking students can compete in the VWO (Vlaamse Wiskunde Olympiade

Vlaamse Wiskunde Olympiade

The Vlaamse Wiskunde Olympiade is a Flemish mathematics competition for students in grades 9 through 12. Two tiers of this competition exist: one for 9th- and 10th-graders, and one for 11th- and 12th-graders.-Procedure:...

) and in Kangoeroe, with six categories:

• Kangoeroe: Springmuis (grades 4 and 5)
• Kangoeroe: Koala (grades 6 and 7)
• Kangoeroe: Wallabie or Wallaroe (grades 7 and 8)
• Junior Wiskunde Olympiade (grades 9 and 10)
• Vlaamse Wiskunde Olympiade (grades 11 and 12)

Brazil

There are two national competitions in Brazil: the oldest one, OBM, dates back to 1979 and is open to all students, from fifth grade to university.

The other one, OBMEP, was created in 2005 and is open to public school students from fifth grade to high school. In 2008 counted with the participation of 18,3 million students on the first round.

• OBM (Olimpíada Brasileira de Matemática
  Olimpíada Brasileira de Matemática
  The Olimpíada Brasileira de Matemática is a mathematics competition held every year for students of Brazil. The participants are awarded gold , silver and bronze medals in accordance with their performance. The main purpose of this competition is to help in selecting students to represent Brazil at...
  
  , http://www.obm.org.br/)
• OBMEP (Olimpíada Brasileira de Matemática das Escolas Públicas, http://www.obmep.org.br/)

There are also many regional competitions, usually open to all students of a given state.

• OPM (Olimpíada Paulista de Matemática, http://www.opm.mat.br/)
• OMERJ (Olimpíada de Matemática do Estado do Rio de Janeiro, http://www.omerj.com.br/)

Canada

Competitions hosted by The Canadian Mathematical Society (since 1969):

• Canadian Mathematics Olympiad, the official mathematical Olympiad
  Olympiad
  An Olympiad is a period of four years, associated with the Olympic Games of Classical Greece. In the Hellenistic period, beginning with Ephorus, Olympiads were used as calendar epoch....
  
   of Canada and its International Mathematical Olympiad
  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...
  
   TST, or team selection test.
• Canadian Open Mathematics Challenge
  Canadian Open Mathematics Challenge
  The Canadian Open Mathematics Challenge is a mathematics competition held in Canada that is one of the most often-used ways to determine participants for the Canadian Mathematical Olympiad. It is run by the Canadian Mathematical Society and sponsored by Sun Life Financial...
  
   (written by highschool students to qualify for the Canadian Mathematics Olympiad)
• Canadian Mathematical Olympiad Qualifying Repêchage (written by top 51-150 from the Canadian Open Mathematics Challenge
  Canadian Open Mathematics Challenge
  The Canadian Open Mathematics Challenge is a mathematics competition held in Canada that is one of the most often-used ways to determine participants for the Canadian Mathematical Olympiad. It is run by the Canadian Mathematical Society and sponsored by Sun Life Financial...
  
   as a second chance to qualify for the Canadian Mathematics Olympiad)

National competitions hosted by The Centre for Education in Mathematics and Computing (since 1969, past problems available):

Full Solutions:

• Euclid (12th grade students)
• Hypatia (11th grade students)
• Galois (10th grade students)
• Fryer (9th grade students)

Multiple Choice:

• Fermat (11th grade students)
• Cayley (10th grade students)
• Pascal (9th grade students)
• Gauss (7th and 8th grade students)

National competitions hosted by Mathematica - The Mathematics Contest Centre (since 2005):

Multiple Choice:

• Newton Contest (9th grade students)
• Lagrange Contest (8th grade students)
• Euler Contest (7th grade students)
• Pythagoras Contest (6th grade students)
• Fibonacci Contest (5th grade students)
• Byron-Germain Contest (4th grade students)
• Thales Contest (3rd grade students)

MATHChallengers (formerly MathCounts BC) is called MathChallengers

MathChallengers

MathChallengers is the former Mathcounts in British Columbia. It is open to all grade 8 and 9 students from British Columbia. The major sponsors are the Association of Professional Engineers and Geoscientists of B.C. , BC Hydro, and IBM Canada.-Rules:...

 since 2005. It is hosted by APEGBC.

National competitions hosted by Brock University (since 2009, past problems available):

• Caribou Contest (3rd - 8th grade students)

Quebec Foundation for Academic Achievements (FQRA) (since 1996) :

• Grade 2 and 3
• Grade 4 and 5
• Grade 6 and 7
• Grade 8 and 9
• Grade 10 and 11

China

• CMO (China Mathematics Olympiad 中国数学奥林匹克)
• CUMCM(China Undergraduate Mathematical Contest In Modeling)
• TZMCM("Maths China Cup" National Online Mathematical Challenge In Modeling)
• EMCM (China Undergraduate Electronic Mathematical Contest In Modeling)
• CWMO (Western China Mathematics Olympiad)
• CGMO (China Girl Mathematics Olympiad) — for female secondary students
• CSMO (South-eastern China Mathematics Olympiad) — for secondary students
• CNMO (China Northern Mathematics Olympiad)
• National High School Math League 全国高中数学联赛
• CJMO (China Junior Math Olympiad)- for secondary students
• CPMO (China Primary Math Olypiad)- for elementary students

Colombia

• OCM (Colombian Mathematics Olympiad)
• OCMU (Colombian Mathematics Olympiad university)

Web site: http://olimpia.uan.edu.co/olimpiadas/public/frameset.jsp

Cyprus

• Cyprus Mathematical Olympiad
  Cyprus Mathematical Olympiad
  The Cyprus Mathematical Olympiad is a Cyprus mathematics competition for students in every grade, organized by the Cyprus Mathematical Society...
  
   — Mathematics competitions for students in every grade.
• Junior high-school (Gymnasium) Competitions — For students under 15.5 years old (1st, 2nd, and 3rd grade of Gymnasium)
• High School (Lyceum) Competitions — For students above 15.5 years old (1st, 2nd, and 3rd grade of Lyceum)
• European Kangourou Mathematics Competition

Czech Republic

• MO (Czech National Mathematics Olympiad, http://www.math.muni.cz/~rvmo)
• PraSe (Prague Mathematics Correspondence Seminar for Secondary School Students, http://mks.mff.cuni.cz)
• Náboj (National Mathematics Team Competition for Secondary School Students, http://mks.mff.cuni.cz/naboj/ )
• Brkos (Brno Mathematical Correspondence Seminar for Secondary School Students, http://www.math.muni.cz/~brkos)

France

• National Olympiads
• Kangourou des mathématiques

Georgia

• Everest — Mathematics competition for 2nd to 6th grade. Website — http://everest.ge/

Germany

• DeMO (Deutsche Mathematik-Olympiade / German Math Olympiad, http://www.mathematik-olympiaden.de)
• BWM (Bundeswettbewerb Mathematik / Federal Math Competition, http://www.bundeswettbewerb-mathematik.de),
• AIMO (Auswahlwettbewerb zur Internationalen Mathematik-Olympiade / Team selection tests for the IMO, http://www.bundeswettbewerb-mathematik.de/imo/main.htm)
• LWMB (Landeswettbewerb Mathematik Bayern / Bavarian Math Competition, http://lwmb.de), LWM (Landeswettbewerb Mathematik Baden-Württemberg / Math Competition of Baden-Württemberg, http://landeswettbewerb-mathematik.de)

Greece

• Θαλής (Thales
  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 (Euclides) - second round
• Αρχιμήδης (Archimedes
  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
• Λευκοπούλειος Διαγωνισμός Πιθανοτήτων και Στατιστικής - "Leukopouleios" Contest on Probabilities And Statistics - a competition that is not related to IMO, organised by ESI (National Statistic Institut)
• Math Kangaroo Competition

Seen also Hellenic Mathematical Society

Hong Kong

• Hong Kong Mathematics Olympiad
  Hong Kong Mathematics Olympiad
  Hong Kong Mathematics Olympiad is a Mathematics Competition held in Hong Kong every year, jointly organized by the Hong Kong Institute of Education and Hong Kong Education and Manpower Bureau. At present, more than 250 secondary schools send teams of 4-6 students of or below Form 4 to enter the...
  
  
• The Hong Kong Mathematical High Achievers Selection Contest
  Hong Kong Mathematical High Achievers Selection Contest
  Hong Kong Mathematical High Achievers Selection Contest is a yearly mathematics competition for students of or below Secondary 3 in Hong Kong. It is jointly organized by Po Leung Kuk and Hong Kong Association of Science and Mathematics Education since the academic year 1998-1999...
  
  . Only Form 1 to form 3 students may participate in this contest.
• International Mathematical Olympiad Preliminary Selection Contest - Hong Kong (IMO HK Prelim, Official Website)
• Pui Ching Invitational Mathematics Competition
  Pui Ching Invitational Mathematics Competition
  Pui Ching Invitational Mathematics Competition , is held yearly by Pui Ching Middle School since 2002. It was formerly named as Pui Ching Middle School Invitational Mathematics Competition for the first three years...
  
   (Official Website)
• Inter-school Mathematics Contest
  Inter-School Mathematics Contest
  The Inter-school Mathematics Contest is a mathematics competition organised by Hong Kong Joint School Mathematics Society, it is usually held in May every year.-External links:*...
  
  , a yearly contest organized by the Hong Kong Joint School Mathematics Society.
• Sing Yin Secondary School Invitational Mathematics Competition (Official Website)

Hungary

• Miklos Schweitzer Competition
  Miklós Schweitzer Competition
  The Miklós Schweitzer Competition is an annual Hungarian mathematics competition for university undergraduates, established in 1949.It is named after Miklós Schweitzer The Miklós Schweitzer Competition (Schweitzer Miklós Matematikai Emlékverseny in Hungarian) is an annual Hungarian mathematics...
  
  
• Nemzetközi Kenguru Matematika Verseny (3rd to 12th grade students)Homepage: http://www.zalamat.hu/
• Kalmár László Országos Matematika Verseny (3rd to 8th grade students)
• Zrínyi Ilona Országos Matematika Verseny (3rd to 8th grade students)
• Varga Tamás Matematika Verseny (7th and 8th grade students)
• Bátaszéki Matematika Verseny (3rd to 8th grade students)
• Középiskolai Matematikai Lapok
  Középiskolai Matematikai és Fizikai Lapok
  Középiskolai Matematikai és Fizikai Lapok is a Hungarian mathematics and physics journal for high school students...
  
   (a year-long contest, each month you have to submit solutions to some problems, 9th-12th grade, Homepage in English: http://www.komal.hu/info/bemutatkozas.e.shtml )
• ADMV (Arany Dániel Matematika Verseny, 9th and 10th grade students)
• Gordiusz Matematika Tesztverseny (9th to 12th grade students)
• OKTV (Országos Középiskolai Tanulmányi Verseny, 11th and 12th grade)
• Kürschák József (first year university students or below)

Proof-based Mathematics Olympiads

• Regional Mathematical Olympiads held in every region. Leads to participation in Indian National Mathematical Olympiad, held every year as a part of selection process for International Mathematical Olympiad.
• National Mathematics Talent Exams conducted by The Association of Mathematics Teachers of India, Chennai (For Vth to XIIth)
• National Level Mathematical Olympiad conducted by SIMO Education (India) for Class V to X http://www.simoeducation.com
• National Genius Search Examination (NGSE) conducted by National Genius Search Foundation for Class V to X
• Online Maths Olympiad (OMO) conducted by iAchieve for classes 2 to 10. {http://www.iachieve.in]

Indonesia

National Science Olympiad held at every level of elementary education, secondary and higher education

1. Educational Level Elementary Science Olympiad

2. Science Olympiad Level Secondary Education

3. Higher Education Level Science Olympiad
Science Olympiad at higher education level or referred to the National Olympiad of Mathematics and Natural Sciences (ON MIPA) consists of 4 areas, namely Mathematics, Physics, Chemistry and Biology, held in 3 stages.
The first stage in college, the second phase in Kopertis and the third stage in the Directorate General of Higher Education.

Iran

• Preliminary Mathematics Olympiad, which successful applicants compete against one another on Iranian Olympiad Level 2 competitions, then they proceeded to compete for top six places in the country so they could participate in the International Mathematics Olympiad as representatives of Iran. http://www.ysc.ac.ir

Ireland

• Irish Mathematical Societies Association Intervarsities. An annual event in which teams representing the mathematical societies of their respective colleges compete in an Olympiad styled event.
• The Irish Mathematical Olympiad (IrMO), an annual competition held in May each year . Students that perform well in the Junior Certificate
  Junior Certificate
  The Junior Certificate is an educational qualification awarded in Ireland by the Department of Education to students who have successfully completed the junior cycle of secondary education, and achieved a minimum standard in their Junior Cert. examinations...
  
   are invited to take part in training programmes, leading up to the competition.
• Problem Solving for Irish Second Level Mathematicians (PRISM), a competition for secondary school students, organised by NUI Galway but held in the students' own schools. There are two competitions - one for junior students, and another for seniors .
• Team Math is held annually for secondary school students.

Israel

• The Grossman Olympiad for high school students.
• The Tournament of Towns (also called "Intercity Competitions in Math").
• The Gillis Math Olympiad for high-school students, organized by the Weizmann Institute of Science along with the Davidson Institute.
• The Zuta Math Olympiad for middle-school students, organized by the Weizmann Institute of Science along with the Davidson Institute.
• The Orange Math Olympiad, organized by the "Orange" Partner company of cellphones.
• The University Students Competition, supervised by the Israeli Mathematical Union.
• The Tel-Aviv University also participates in the William Lowell Putnam Mathematical Competition
  William Lowell Putnam Mathematical Competition
  The William Lowell Putnam Mathematical Competition, often abbreviated to the Putnam Competition, is an annual mathematics competition for undergraduate college students of the United States and Canada, awarding scholarships and cash prizes ranging from $250 to $2,500 for the top students and $5,000...
  
  .

Italy

• Olimpiadi Italiane della Matematica (Italian Mathematical Olympiad). This is the national qualifying stage of the International Mathematical Olympiad
  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...
  
  .
• Campionati Internazionali di Giochi Matematici (International Mathematical Game Championship). This is the national qualifying stage of the Championnat International de Jeux Mathématiques et Logiques
  Championnat International de Jeux Mathématiques et Logiques
  The Championnat International des Jeux Mathématiques et Logiques is an international mathematics competition mainly for French-speaking countries, but participation is not limited by language....
  
  .
• Kangourou della Matematica (Mathematics Kangaroo). This is the national version of the Mathematical Kangaroo
  Mathematical Kangaroo
  Mathematical Kangaroo is an international mathematical competition with more than 40 countries that take an active part in it. There are twelve levels of participation: from grade 1 to grade 12. The competition is held annually on the third Thursday of March...
  
  .

Lithuania

• Open International Project - Mathematics Online Competition "Eruditus" for Students

South Korea

• KMO (Korean Mathematical Olympiad, http://www.kms.or.kr/home/kmo/)
• KMC (Korean Mathematics Competition, http://www.kmath.co.kr/)
• KME (Korean Mathematics Evaluation, http://www.kerei.net/)

Macau, China

• Macao Mathematical Olympiad (Chinese homepage: http://www.sftw.umac.mo/~fstitl/olympiad/index.html )

FYROM

• Regional Competition
• Republic Competition (different problems for each grade)
• JMMO (Junior Macedonian Maths Olympiad) (all students younger than 15.5 years have same questions)
• MMO (Macedonian Maths Olympiad) (all high school students have same questions)

Official website (in Macedonian): http://smm.org.mk/

Malaysia

• OMK (Olimpiad Matematik Kebangsaan / National Mathematical Olympiad), an annual competition organized by the Malaysian Mathematical Sciences Society, http://www.persama.org.my
• IMC (IIUM Mathematics Competition), organized by International Islamic University Malaysia, http://www.iiu.edu.my/imc
• MASMO (Malaysia ASEAN Schools Math Olympiads) http://www.masmo.info
• Hua Lo-Keng Cup Mathematics Competition (an annual competition organized by the Selangor-KL Hokkien Association)
• UTAR National Mathematics Competition (an annual competition organized by the University Tunku Abdul Rahman)

Mexico

• MMO (Mexican Mathematical Olympiad in Spanish OMM (Olimpiada Mexicana de Matemáticas)
• Mathcounts - held annually at the American school of Puebla and open to ASOMEX students.
• ONMAS (Olimpiada Nacional de Matemáticas para Alumnos de Secundaria)
• ONMAP (Olimpiada Nacional de Matemáticas para Alumnos de Primaria) held along with ONMAS
• Canguro Matemático (Math Kangaro)
• Pierre Fermat Contest organized by IPN
• Olimpiada de Mayo(The selective exam for Olimpiada Rioplatense de Matematias)
• National Mathematical Tournament UAG
• OEMEPS (Olimpiada Estatal de Matemáticas en Educación Primaria y Secundaria)

Netherlands

• W4Kangoeroe (WereldWijde WiskundeWedstrijd Kangoeroe / world-wide math contest Kangaroo) http://w4kangoeroe.nl/)
• JWO (Junior Wiskunde Olympiade / Junior Math Olympiad, http://www.few.vu.nl/nl/voor-het-vwo/scholieren/activiteiten/junior-wiskunde-olympiade/)
• NWO (Nederlandse Wiskunde Olympiade / Dutch Mathematics Olympiad, http://wiskundeolympiade.nl/)
• FNWI Wiskundetoernooi (math tournament at Radboud University Nijmegen, http://www.ru.nl/wiskundetoernooi/)
• Twentse Wiskunde Estafette (math relay race at University of Twente, http://www.twenteacademy.nl/wedstrijden/twentse_wiskunde_estafette/)
• Wiskunde A-lympiade (Math A-lympiad, where A refers to the Mathematics Alpha courses in Dutch secondary schools, http://www.fi.uu.nl/alympiade/)
• Wiskunde B Dag (Math B Day, where B refers to the Mathematics Beta courses in Dutch secondary schools, http://www.fi.uu.nl/wisbdag/)
• LIMO (Landelijke Interuniversitaire Mathematische Olympiade / National Interuniversitary Mathematical Olympiad, http://www.limo.a-eskwadraat.nl/)

New Zealand

• Australasian Problem Solving Mathematical Olympiads (APSMO)
• Otago Problem Challenge
• Singapore - Asia Pacific Mathematical Olympiad for Primary Schools (APMOPS: http://www.hci.sg/aphelion/apmops/)
• Auckland Mathematical Olympiad
• Eton Press Senior Mathematics Competition
• Australian Mathematics Competition
• National Bank Junior Mathematics Competition (NBJMC)
• September Problems (IMO Selection)

Norway

• Niels Henrik Abels matematikk-konkurranse (Norwegian Mathematical Olympiad, website available both in Norwegian and English at http://abelkonkurransen.no/)

Pakistan

• In 2006 almost 4,000,000 students from 41 countries played the game world-wide. The world "Kangaroo" center, which coordinates the competition in the various countries, was founded in 1994 in Paris. In Pakistan, the competition was first organized in 2005 by the Pakistan kangaroo Commission. For further information visit http://www.kangaroo.edu.pk

Peru

• National Mathematic Olympiad - ONEM (Olimpiada Nacional Escort de Mathematical)

It's the official Olympiad, organized by the Ministry of Education and the Peruvian Mathematical Society in 4 phases. The final phase takes place near to Lima usually in November.
Website available in Spanish: http://portal.huascaran.edu.pe/olimpiadas/index.htm hmm

Philippines

• Southern Tagalog Invitational Mathematical Challenge (Highschool Level)-UPLB Mathematical Sciences Society [www.uplbmass.org]
• Philippine Mathematical Olympiad
• Metrobank-Mathematics Teachers Association of the Philippines (MTAP) - Department of Education (DepEd) Math Challenge for Grade School and High School Students
• Annual Nationwide Search for the Math Wizard (College Level) - University of the Philippines Mathematics Club [www.upmathclub.org]
• Mathematics Festival
• The Regionwide Search for the Little Math Wizard (Elementary Level)- University of the Philippines Mathematics Club
• MATHirang MATHibay - University of the Philippines Mathematics Majors' Circle
• MATHira MATHibay and STATstruck - Pamantasan ng Lungsod ng Maynila - Mathematical Society
• PUP MathMax - Polytechnic University of the Philippines
• Ateneo Mathematics Olympiad
• MSA Battle for Math whiz
• CIT University Mathematician of the Year
• MTG - 8th International Mathematics and Science Olympiad.
• National Math Wizard - Institute of Integrated Electrical Engineers: Council of Student Chapters
• Math-Science Quiz - Philippine Science Consortium

Portugal

• Portuguese Mathematics Olympiad - Olimpíadas Portuguesas da Matemática (in Portuguese)
• Olimpíada Paulistas (with Brazil)

Puerto Rico

• Puerto Rican Mathematical Olympiad - http://www.ompr.pr (Olimpiadas Matemáticas de Puerto Rico (in Spanish))

Romania

• Romanian National Olympiad
• Annual Contest of Gazeta Matematica "Nicolae Teodorescu"
• The Mathematical Contest Traian Lalescu
  Traian Lalescu
  Traian Lalescu was a Romanian mathematician. His main focus was on integral equations and he contributed to work in the areas of functional equations, trigonometric series, mathematical physics, geometry, mechanics, algebra, and the history of mathematics....
  
   

Russian Federation

• All-Russian Mathematical Olympiad
• St.Petersburg Math Olympiad
• Moscow Math Olympiad
• Leonard Euler Math Olympiad

Serbia

• Mathematical competitions in Serbia http://srb.imomath.com
• Problems from previous competitions - http://www.dms.org.rs/index.php?action=competitions_mathematics&change=true

Singapore

• Singapore Mathematical Olympiad
  Singapore Mathematical Olympiad
  The Singapore Mathematical Olympiad is a mathematics competition organised by the Singapore Mathematical Society. It comprises three sections, Junior, Senior and Open, each of which is open to all pre-university students studying in Singapore who meet the age requirements for the particular section...
  
   (SMO, http://sms.math.nus.edu.sg/Competitions/CompetitionHomePage.aspx)
• National Mathematical Olympiad of Singapore (NMOS, http://oas.highsch.nus.edu.sg/NMOS/)
• Singapore International Mathematics Challenge (SIMC, http://www.highsch.nus.edu.sg/SIMC2010/)
• International Math Competition- Singapore (IMC-Singapore)

Slovenia

• Vega's Competition for elementary school students
• Mathematical contest for secondary school students of Slovenia, Competition for students of upper secondary technical and vocational colleges in the knowledge of mathematics and Competition for students of upper secondary vocational schools in the knowledge of mathematics (15–19 years, http://www.dmfa.si/mat_SS)
• Competition in business mathematics for secondary schools (15–19 years, http://www.dmfa.si/PMa_SS)
• Competition in recreational mathematics

Slovakia

• MO Matematická olympiáda http://matematika.okamzite.eu
• List of Slovak competitions http://www.cs.pitt.edu/~michal/projects/seminar/
• KMS Korešpondenčný matematický seminár http://kms.sk/
• STROM Korešpondenčný matematický seminár http://www.strom.sk
• MATMIX Korešpondenčný matematický seminár http://www.matmix.sk
• SEZAM Korešpondenčný matematický seminár http://www.sezam.sk
• Matematická Olympiáda a Pytagoriáda v maďarčine pre ZŠ s VJM http://matek.ide.sk

South Africa

• South African Mathematics Olympiad (SAMO, http://www.samf.ac.za/)
• University of Cape Town Mathematics Competition
• Living Maths
• Amesa

Sweden

• Skolornas matematiktävling (see http://www.math.uu.se/~dag/skolornas.html or http://www.math.chalmers.se/~sam/problemet/bok.html for older problems)
• Högstadiets matematiktävling (http://www.matematiktavling.org/hmt/, open for students in grades 7 through 9)

Taiwan

• Regional competition (http://umath.nuk.edu.tw/~senpengeu/HighSchool for some problems)
• National competition (http://umath.nuk.edu.tw/~senpengeu/HighSchool for some problems)
• IMO selection and training camp

Thailand

• 2008 International Mathematics Competition (IMC 2008) http://www.imcthai.net/
• National Mathematics Contest http://www.ipst.ac.th/olympic
• POSN-MO http://www.posn.or.th
• The Mathematical Association of Thailand Contest http://www.math.or.th/
• Diamond Crown http://www.obec.go.th/news48/05_may/27b/project_apply.pdf
• Sermpanya Mathematics Test http://www.sermpanya.com
• Mathcenter http://www.mathcenter.net/

Tunisia

• National Final of the Tunisian Math games Cup launched by the A.T.S.M. Winners are allowed to participate to the International Mathematics Olympiads

Turkey

• Turkey National Mathematical Olympiad (Türkiye Ulusal Matematik Olimpiyatı (in Turkish), organized by TUBITAK) http://www.tubitak.gov.tr/bideb/

Ukraine

• Different Mathematics Competitions for school pupils http://matholymp.org.ua/
• Different Mathematics Competitions for university students http://putnam.ho.ua/

United Kingdom

• Most competitions are organised by the UK Mathematics Trust.
• The Primary Mathematics Challenge (for primary school pupils) is organised by the Mathematical Association
  Mathematical Association
  The Mathematical Association is a professional society concerned with mathematics education in the UK.-History:It was founded in 1871 as the Association for the Improvement of Geometrical Teaching and renamed to the Mathematical Association in 1897. It was the first teachers' subject organisation...
  
  .
• The Junior Mathematical Challenge is a multiple-choice competition for students up to year 8
  Education in England
  Education in England is overseen by the Department for Education and the Department for Business, Innovation and Skills. Local authorities take responsibility for implementing policy for public education and state schools at a regional level....
  
   in England and Wales, year S2
  Education in Scotland
  Scotland has a long history of universal provision of public education, and the Scottish education system is distinctly different from the other countries of the United Kingdom...
  
   in Scotland, year 9
  Education in Northern Ireland
  Education in Northern Ireland differs slightly from systems used elsewhere in the United Kingdom, though it is more similar to that used in England and Wales than it is to Scotland. A child's age on 1 July determines the point of entry into the relevant stage of education unlike England and Wales...
  
   in Northern Ireland. High scorers in the JMC are invited to compete in the Junior Mathematical Olympiad.
• The Intermediate Mathematical Challenge is a multiple-choice competition for students up to year 11 in England and Wales, year S4 in Scotland, year 12 in Northern Ireland. High scorers in the IMC are invited to compete in the Intermediate Mathematical Olympiad and Kangaroo (for the highest scorers) and in the European Kangaroo
  Mathematical Kangaroo
  Mathematical Kangaroo is an international mathematical competition with more than 40 countries that take an active part in it. There are twelve levels of participation: from grade 1 to grade 12. The competition is held annually on the third Thursday of March...
  
   (another multiple-choice competition, for other high scorers).
• The Senior Mathematical Challenge (formerly National Maths Contest) is a multiple-choice competition for students up to year 13 in England and Wales, year S6 in Scotland, year 14 in Northern Ireland.
• High scorers in the SMC are invited to compete in the British Mathematical Olympiad
  British Mathematical Olympiad
  The British Mathematical Olympiad forms part of the selection process for the UK International Mathematical Olympiad team. There are two rounds, the BMO1 and the BMO2.-BMO Round 1:...
  
   .
• There is a Team Maths Challenge for students in England, Wales and Northern Ireland; Scotland has its own Enterprising Mathematics Competition organised by the Scottish Mathematical Council.
• The UCL
  University College London
  University College London is a public research university located in London, United Kingdom and the oldest and largest constituent college of the federal University of London...
  
   Maths Challenge is a competition for Year 6 primary school pupils from London organised by UCL student volunteers .

United States

Generally, registering for these contests is based on the grade level of math at which the student works rather than the age or the enrolled grade of the student.

National elementary school competitions (grades K-6)

• ABACUS International Math Challenge (grades 3-8)
• American Math Challenge, incorporating the MATHCOUNTS Foundation Online Challenge http://americanmathchallenge.com (ages 9 –14)
• Continental Mathematics Leaguehttp://www.continentalmathematicsleague.com/ (grades 2 - 9, Calculus and Computer)
• Math Kangaroo Competitionhttp://www.mathkangaroo.org (grades 2-12)
• Math League
  Math League
  Math League is a mathematics competition for elementary, middle, and high school students in the United States. The Math League was founded in 1977 by two high school mathematics teachers, Steven R. Conrad and Daniel Flegler. Math Leagues, Inc...
  
   (grades 4-12)
• Mathematical Olympiads for Elementary and Middle Schools
  Mathematical Olympiads for Elementary and Middle Schools
  Mathematical Olympiads for Elementary and Middle Schools is a worldwide math competition, organized by a not for profit foundation with the same name. It is held yearly in Bellmore, New York. Two dozen other nations also participate in the competition. There are two divisions, Elementary and...
  
   (MOEMS) (grades 4-6 and 7-8)
• MathFaxhttp://www.educontest.com/ (grades 3-12)
• MathWizzhttp://www.mathwizz.com/contest/index.asp (grades K-12)
• Monthly Math Challenge Problems (grades K-2)
• Noetic Learning Math Contest (grades 2-5)
• Online Math Leaguehttp://www.onlinemathleague.com (grades 2-9)
• Perennial Math (grades 4-8)
• SBU Math Contest (grades 3-8)
• The Math & Logic Contests (grades 2-6)

National middle school competitions (grades 6-8)

• ABACUS International Math Challenge (grades 3-8)
• American Math Challenge, incorporating the MATHCOUNTS Foundation Online Challenge http://americanmathchallenge.com (ages 9 –14)
• American Mathematics Contest 8 (AMC->8), formerly the American Junior High School Mathematics Examination (AJHSME)
• Continental Mathematics Leaguehttp://www.continentalmathematicsleague.com/ (grades 2 - 9, Calculus and Computer)
• Kumon Math Challenge (grades 1-10)
• Math Kangaroo Competitionhttp://www.mathkangaroo.org (grades 2-12)
• Math League
  Math League
  Math League is a mathematics competition for elementary, middle, and high school students in the United States. The Math League was founded in 1977 by two high school mathematics teachers, Steven R. Conrad and Daniel Flegler. Math Leagues, Inc...
  
   (grades 4-12)
• MATHCOUNTS
  MathCounts
  Mathcounts is a middle school mathematics competition held in the United States. Its founding sponsors include the CNA Foundation, the National Society of Professional Engineers, and the National Council of Teachers of Mathematics. The competition is designed for sixth, seventh, and eighth...
  
  
• MathFaxhttp://www.educontest.com/ (grades 3-12)
• Mathematical Olympiads for Elementary and Middle Schools
  Mathematical Olympiads for Elementary and Middle Schools
  Mathematical Olympiads for Elementary and Middle Schools is a worldwide math competition, organized by a not for profit foundation with the same name. It is held yearly in Bellmore, New York. Two dozen other nations also participate in the competition. There are two divisions, Elementary and...
  
   (MOEMS)
• MathWizzhttp://www.mathwizz.com/contest/index.asp (grades K-12)
• Online Math Leaguehttp://www.onlinemathleague.com (grades 2-9)
• Purple Comet! Math Meethttp://www.purplecomet.org
• Rocket City Math League
  Rocket City Math League
  Rocket City Math League is the only exclusively student-run international mathematics competition in the United States. Run by students at Virgil I. Grissom High School in Huntsville, Alabama, RCML gets its name from Huntsville's nickname as the "Rocket City"...
  
  (pre-algebra to calculus)
• SBU Math Contest (grades 3-8)
• SIGMA
  Sigma
  Sigma is the eighteenth letter of the Greek alphabet, and carries the 'S' sound. In the system of Greek numerals it has a value of 200. When used at the end of a word, and the word is not all upper case, the final form is used, e.g...
  
   http://sigmamathcontest.com [grades 6-9]
• United States of America Mathematical Talent Search
  United States of America Mathematical Talent Search
  The United States of America Mathematical Talent Search is a mathematics competition open to all United States students in or below high school.-History of contest:...
  
   (USAMTS)

National high school competitions (grades 9-12)

• American Invitational Mathematics Examination
  American Invitational Mathematics Examination
  The American Invitational Mathematics Examination is a 15-question 3-hour test given since 1983 to those who rank in the top 5% on the AMC 12 high school mathematics contest , and starting in 2010, those who rank in the top 2.5% on the AMC 10.The AIME is the second of two tests used to determine...
  
   (AIME)
• American Mathematics Contest 10 (AMC->10)
• American Mathematics Contest 12 (AMC->12), formerly the American High School Mathematics Examination (AHSME)
• American Regions Mathematics League
  American Regions Mathematics League
  The American Regions Mathematics League , is an annual high school mathematics team competition held simultaneously at four locations in the United States: the University of Iowa, Penn State, UNLV, and the newly added site at the University of Georgia. Past sites have included San Jose and at Duke...
  
   (ARML)
• Duke University Math Meet (DUMU)
• iTest
  Itest
  The iTest , was founded in 2004 by Bradley Metrock and takes place each September, offering students from across the country to compete against the best and brightest high school students in a highly competitive environment.-Guidelines:Any American high school student The iTest (formerly known as...
  
  
• Harvard-MIT Mathematics Tournament
  Harvard-MIT Mathematics Tournament
  The Harvard–MIT Mathematics Tournament is an annual high school math competition started in 1998. The location of the tournament, in Cambridge, Massachusetts, alternates between Harvard University and MIT...
  
   (HMMT)
• High School Mathematical Contest in Modeling
  Mathematical Contest in Modeling
  The Mathematical Contest in Modeling is a multi-day mathematics competition held annually in USA, during the first or second weekend in February, since 1985 by COMAP and sponsored by SIAM, the NSA, and INFORMS...
  
   (HiMCM)
• Kumon Math Challenge (grades 1-10)
• Mandelbrot Competition
  Mandelbrot Competition
  Named in honor of the Mandelbrot set, the Mandelbrot Competition is a mathematics competition founded by Sam Vandervelde, Richard Rusczyk and Sandor Lehoczky that allows high school students to compete individually and in four-person teams.-Competition:...
  
  
• Math Kangaroo Competitionhttp://www.mathkangaroo.org (grades 2-12)
• Math League
  Math League
  Math League is a mathematics competition for elementary, middle, and high school students in the United States. The Math League was founded in 1977 by two high school mathematics teachers, Steven R. Conrad and Daniel Flegler. Math Leagues, Inc...
  
   (grades 4-12)
• MathFaxhttp://www.educontest.com/ (grades 3-12)
• MathWizzhttp://www.mathwizz.com/contest/index.asp (grades K-12)
• Moody's Mega Math Challenge
  Moody's Mega Math Challenge
  Moody's Mega Math Challenge is an applied mathematics modeling contest open to high schools along the entire East Coast, from Maine to Florida. It is sponsored by The Moody's Foundation based in New York City and organized by the Society for Industrial and Applied Mathematics based in Philadelphia...
  
  
• Mu Alpha Theta
  Mu Alpha Theta
  Mu Alpha Theta is a United States mathematics honor society for high schools and two-year colleges. It has over 89,000 student members in more than 1,800 schools worldwide. Its main goals are to inspire keen interest in mathematics, develop strong scholarship in the subject, and promote the...
  
  
• National Assessment & Testing
  National Assessment & Testing
  National Assessment & Testing is a company that markets five different mathematics contests: The Fall Startup Event, the Ciphering Time Trials, the Team Scamble, the Four-by-Four Competition, and the Collaborative Problem Solving Contest...
  
  
• Online Math League (grades 2-12)
• Princeton University Mathematics Competition
  Princeton University Mathematics Competition
  The Princeton University Mathematics Competition is an annual high school mathematics competition started in 2006. The contest is written, organized, and staffed entirely by Princeton students. In the past, it has been held variously in December, November, and January of the school year...
  
   (PUMaC)
• Purple Comet Math Meet
• United States of America Mathematical Olympiad
  United States of America Mathematical Olympiad
  The United States of America Mathematical Olympiad is a high school mathematics competition held annually in the United States. Since its debut in 1972, it has served as the final round of the AMC series of contests...
  
   (USAMO)
• United States of America Mathematical Talent Search
  United States of America Mathematical Talent Search
  The United States of America Mathematical Talent Search is a mathematics competition open to all United States students in or below high school.-History of contest:...
  
   (USAMTS)
• Rocket City Math League
  Rocket City Math League
  Rocket City Math League is the only exclusively student-run international mathematics competition in the United States. Run by students at Virgil I. Grissom High School in Huntsville, Alabama, RCML gets its name from Huntsville's nickname as the "Rocket City"...
  
  (pre-algebra to calculus)
• SkillsUSA Related Technical Math
• SIGMA
  Sigma
  Sigma is the eighteenth letter of the Greek alphabet, and carries the 'S' sound. In the system of Greek numerals it has a value of 200. When used at the end of a word, and the word is not all upper case, the final form is used, e.g...
  
   http://sigmamathcontest.com (Grades 6-9)
• Stanford Math Tournament http://sumo.stanford.edu/smt/ (also known as the silly math tournament.) (Grades 1-12)

National college competitions

• AMATYC Mathematics Contest
• Mathematical Contest in Modeling
  Mathematical Contest in Modeling
  The Mathematical Contest in Modeling is a multi-day mathematics competition held annually in USA, during the first or second weekend in February, since 1985 by COMAP and sponsored by SIAM, the NSA, and INFORMS...
  
   (MCM)
• William Lowell Putnam Mathematical Competition
  William Lowell Putnam Mathematical Competition
  The William Lowell Putnam Mathematical Competition, often abbreviated to the Putnam Competition, is an annual mathematics competition for undergraduate college students of the United States and Canada, awarding scholarships and cash prizes ranging from $250 to $2,500 for the top students and $5,000...
  
  

United States external links

• K-12 US math contest lists and online resources
• Homeschool Math Contests: extensive, up to date lists of individual, local, and regional math contests for all students
• Art of Problem Solving Foundation math contest lists
• Tennessee University lists of mathematics competitions

Vietnam

• Vietnam Mathematical Olympiad — Official National Contest for mathematics talents.
• 30/4 Olympiad for Mathematics — Regional Olympiad in the Southern Vietnam (for students in provinces from Quang Binh to Ca Mau
  Ca Mau Province
  Cà Mau is a province of Vietnam, named after its capital city. It is located in the Mekong Delta of southern Vietnam, and is the southernmost of Vietnam's 58 provinces...
  
  ).