The logo of the International Mathematical Olympiad.

The International Mathematical Olympiad (IMO) is an annual six-problem, 42-point mathematical olympiad for pre-collegiate students and is the oldest of the International Science Olympiads.^[1] The first IMO was held in Romania in 1959. It has since been held annually, except in 1980. About 100 countries send teams of up to six students,^[2] plus one team leader, one deputy leader, and observers.^[3] Ever since its inception in 1959, the olympiad has developed a rich legacy and has established itself as the pinnacle of mathematical competition among high school students.

The content ranges from extremely difficult precalculus problems to problems on branches of mathematics not conventionally covered at school and often not at university level either, such as projective and complex geometry, functional equations and well-grounded number theory, of which extensive knowledge of theorems is required. Calculus, though allowed in solutions, is never required, as there is a principle at play that anyone with a basic understanding of mathematics should understand the problems, even if the solutions require a great deal more knowledge. Supporters of this principle claim that this allows more universality and creates an incentive to find elegant, deceptively simple-looking problems which nevertheless require a certain level of ingenuity.

The selection process differs by country, but it often consists of a series of tests which admit fewer students at each progressing test. Awards are given to a top percentage of the individual contestants. Teams are not officially recognized—all scores are given only to individual contestants, but team scoring is unofficially compared more so than individual scores.^[4] Contestants must be under the age of 20 and must not be registered at any tertiary institution. Subject to these conditions, an individual may participate any number of times in the IMO.^[5]

History[link]

The first IMO was held in Romania in 1959. Since then it has been held every year except 1980. That year, it was cancelled due to internal strife in Mongolia.^[6] It was initially founded for eastern European countries participating in the Warsaw Pact, under the Soviet bloc of influence, but eventually other countries participated as well.^[2] Because of this eastern origin, the earlier IMOs were hosted only in eastern European countries, and gradually spread to other nations.^[7]

Sources differ about the cities hosting some of the early IMOs. This may be partly because leaders are generally housed well away from the students, and partly because after the competition the students did not always stay based in one city for the rest of the IMO. The exact dates cited may also differ, because of leaders arriving before the students, and at more recent IMOs the IMO Advisory Board arriving before the leaders.^[8]

Several students, such as Christian Reiher, have performed exceptionally well on the IMO, scoring multiple gold medals. Others, such as Grigory Margulis and Grigori Perelman, have gone on to become notable mathematicians. Several former participants have won awards such as the Fields medal.^[9]

In January 2011, Google gifted $1 million to the International Mathematical Olympiad organization. The donation will help the organization cover the costs of the next five global events (2011–2015).^[10]

Scoring and format[link]

The paper consists of six problems, with each problem being worth seven points, the total score thus being 42 points. No calculators are allowed. The examination is held over two consecutive days; the contestants have four-and-a-half hours to solve three problems per day. The problems chosen are from various areas of secondary school mathematics, broadly classifiable as geometry, number theory, algebra, and combinatorics. They require no knowledge of higher mathematics such as calculus and analysis, and solutions are often short and elementary. However, they are usually disguised so as to make the process of finding the solutions difficult. Prominently featured are algebraic inequalities, complex numbers, and construction-oriented geometrical problems, though in previous years the latter has not been as popular as before.^[11]

Each participating country, other than the host country, may submit suggested problems to a Problem Selection Committee provided by the host country, which reduces the submitted problems to a shortlist. The team leaders arrive at the IMO a few days in advance of the contestants and form the IMO Jury which is responsible for all the formal decisions relating to the contest, starting with selecting the six problems from the shortlist. The Jury aims to select the problems so that the order in increasing difficulty is Q1, Q4, Q2, Q5, Q3 and Q6. As the leaders know the problems in advance of the contestants, they are kept strictly separated and observed.^[12]

Each country's marks are agreed between that country's leader and deputy leader and coordinators provided by the host country (the leader of the team whose country submitted the problem in the case of the marks of the host country), subject to the decisions of the chief coordinator and ultimately a jury if any disputes cannot be resolved.^[13]

Selection process[link]

A stage in the process of solving a problem¹ from the AIME, part of the USA's selection process.

The selection process for the IMO varies greatly by country. In some countries, especially those in east Asia, the selection process involves several difficult tests of a difficulty comparable to the IMO itself.^[14] The Chinese contestants go through a camp, which lasts from March 16 to April 2.^[15] In others, such as the USA, possible participants go through a series of easier standalone competitions that gradually increase in difficulty. In the case of the USA, the tests include the American Mathematics Competitions, the American Invitational Mathematics Examination, and the United States of America Mathematical Olympiad, each of which is a competition in its own right. For high scorers on the final competition for the team selection, there also is a summer camp, like that of China.^[16]

The former Soviet Union and other eastern European countries' selection process consists of choosing a team several years beforehand, and giving them special training specifically for the event. However, such methods have been discontinued in some countries.^[17] In Ukraine, for instance, selection tests consist of four olympiads comparable to the IMO by difficulty and schedule. While identifying the winners, only the results of the current selection olympiads are considered.

Awards[link]

Nikolay Nikolov won three gold medals (1992, 1993, 1995), with perfect score and special prize in 1995

The participants are ranked based on their individual scores. Medals are awarded to the highest ranked participants, such that slightly less than half of them receive a medal. Subsequently the cutoffs (minimum scores required to receive a gold, silver or bronze medal respectively) are chosen such that the ratio of gold to silver to bronze medals awarded approximates 1:2:3. Participants who do not win a medal but who score seven points on at least one problem receive an honorable mention.^[18]

Special prizes may be awarded for solutions of outstanding elegance or involving good generalisations of a problem. This last happened in 2005 (Iurie Boreico), 1995 (Nikolay Nikolov), and 1988 (Emanouil Atanassov), but was more frequent up to the early 1980s.^[19] The special prize in 2005 was awarded to Iurie Boreico, a student from Moldova, who came up with a brilliant solution to question 3, which was an inequality involving three variables. Boreico was one of only three students to achieve a perfect score for that paper.

The rule that at most half the contestants win a medal is sometimes broken if adhering to it causes the number of medals to deviate too much from half the number of contestants. This last happened in 2010 when the choice was to give either 226 (43%) or 266 (51%) of the 517 (excluding the 6 from North Korea—see below) contestants a medal.^[20]

Penalties[link]

North Korea was disqualified for cheating at the 32nd IMO in 1991 and the 51st IMO in 2010.^[21]

Current and future IMOs[link]

Members of the 2007 IMO Greek team.

• The 51st IMO^[22] was held in Astana, Kazakhstan, July 2–15, 2010.^[23]
• The 52nd IMO^[24] was held in Amsterdam, Netherlands, in July 13–24, 2011.^[25]
• The 53rd IMO^[26] will be held in Mar del Plata, Argentina, July 4–16, 2012.
• The 54th IMO^[27] will be held in Santa Marta^[28], Colombia in 2013 ^[29]
• The 55th IMO will be held in South Africa in 2014.
• The 56th IMO will be held in Thailand in 2015.

Notable achievements[link]

From left to right, Gabriel Carroll, USA, Reid Barton, USA, Liang Xiao, China, and Zhiqiang Zhang, China, the four perfect scorers in the 2001 IMO held in the USA.

Four nations have achieved an all-members-gold IMO with a full team:

• China, 11 times: in 1992, 1993, 1997, 2000, 2001, 2002, 2004, 2006, 2009, 2010, and 2011;
• Russia, 2 times: in 2002 and 2008;
• United States, 2 times: in 1994 and 2011;
• Bulgaria, 1 time: in 2003.^[30]

The only countries to have their entire teams score perfectly on the IMO were the United States, which won IMO 1994 when it accomplished this, coached by Paul Zeitz, and Luxembourg, whose 1-member team got a perfect score in IMO 1981. The USA's success earned a mention in TIME Magazine.^[31] Hungary won IMO 1975 in an unorthodox way when none of the eight team members received a gold medal (five silver, three bronze). Second place team East Germany also did not have a single gold medal winner (four silver, four bronze).

Several individuals have consistently scored highly and/or earned medals on the IMO: Reid Barton (United States) was the first participant to win a gold medal four times (1998, 1999, 2000, 2001).^[32] Barton is also one of only seven four-time Putnam Fellow (2001, 2002, 2003, 2004).^[33] In addition, he is the only person to have won both the IMO and the International Olympiad in Informatics (IOI).^[11] Christian Reiher and Lisa Sauermann (both Germany) are the only other participants to have won four gold medals (2000, 2001, 2002, 2003 resp. 2008, 2009, 2010, 2011); Sauermann also received a silver medal (2007) and Reiher a bronze medal (1999).^[34] Wolfgang Burmeister (East Germany), Martin Härterich (West Germany), Iurie Boreico (Moldova) and Teodor von Burg (Serbia) are the only other participants besides Reiher and Sauermann to win five Medals with at least three of them gold.^[2] Ciprian Manolescu (Romania) managed to write a perfect paper (42 points) for gold medal more times than anybody else in history of competition, doing it all three times he participated in the IMO (1995, 1996, 1997).^[35] Manolescu is also a three-time Putnam Fellow (1997, 1998, 2000).^[33] Evgenia Malinnikova (Soviet Union) is the highest-scoring female contestant in IMO history. She has 3 gold medals in IMO 1989 (41 points), IMO 1990 (42) and IMO 1991 (42), missing only 1 point in 1989 to precede Manolescu's achievement.^[36] Oleg Golberg (Russia/USA) is the only participant in IMO history to win gold medals for different countries: he won two for Russia in 2002 and 2003, then one for USA in 2004.^[37]

Terence Tao (Australia) participated in IMO 1986, 1987 and 1988, winning bronze, silver and gold medals respectively. He won a gold medal when he just turned thirteen in IMO 1988, becoming the youngest person to receive a gold medal.^[38] Tao also holds the distinction of being the youngest medalist with his 1986 bronze medal, alongside 2009 bronze medalist Raúl Chávez Sarmiento (Peru), at the age of 10 and 11 respectively.^[39] Representing the United States, Noam Elkies won a gold medal with a perfect paper at the age of 14 in 1981. Note that both Elkies and Tao could have participated in the IMO multiple times following their success, but entered university and therefore became ineligible.

Media coverage[link]

• A documentary, "Hard Problems: The Road To The World's Toughest Math Contest" was made about the United States 2006 IMO team.^[40]
• And a BBC documentary titled Beautiful Young Minds aired July 2007 about the IMO.

See also[link]

• Asian Pacific Mathematics Olympiad
• International Mathematics Competition for University Students (IMC)
• International Science Olympiad
• List of mathematics competitions
• Provincial Mathematical Olympiad

Notes[link]

References[link]

• Xu, Jiagu (2012). Lecture Notes on Mathematical Olympiad Courses, For Senior Section. World Scientific Publishing. ISBN 978-981-4368-94-0(pbk) 

• Xu, Jiagu (2009). Lecture Notes on Mathematical Olympiad Courses, For Junior Section. World Scientific Publishing. ISBN 978-981-4293-53-2(pbk) 

• Olson, Steve (2004). Count Down. Houghton Mifflin. ISBN 0-618-25141-3 
• Verhoeff, Tom (August 2002). PDF The 43rd International Mathematical Olympiad: A Reflective Report on IMO 2002. Computing Science Report, Faculty of Mathematics and Computing Science, Eindhoven University of Technology, Vol. 2, No. 11. http://www.win.tue.nl/~wstomv/publications/imo2002report.pdf PDF 
• Djukić, Dušan (2006). The IMO Compendium: A Collection of Problems Suggested for the International Olympiads, 1959-2004. Springer. ISBN 978-0-387-24299-6 
• Lord, Mary (Monday, July 23, 2001). "Michael Jordans of math - U.S. Student whizzes stun the cipher world". U.S. News & World Report 131 (3): 26. http://search.ebscohost.com/login.aspx?direct=true&db=a9h&AN=4818783&site=ehost-live. 
• Saul, Mark (2003). Mathematics in a Small Place: Notes on the Mathematics of Romania and Bulgaria. AMS 
• Vakil, Ravi (1997). A Mathematical Mosaic: Patterns & Problem Solving. Brendan Kelly Publishing. pp. 288. ISBN 978-1-895997-28-6 
• Liu, Andy (1998). Chinese Mathematics Competitions and Olympiads. AMT Publishing. ISBN 1-876420-00-6 

External links[link]

Wikimedia Commons has media related to: International Mathematical Olympiad

Official[link]

• Official IMO web site
• Old central IMO web site

Resources[link]

• MathLinks Olympiad resources - IMO problems and solutions, IMO Shortlists, IMO Longlists and one of the largest collection of Olympiad problems in the world.
• The IMO Compendium

Mathematics competitions or mathematical olympiads are competitive events where participants write a mathematics 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[link]

• International Mathematical Olympiad (IMO) — The oldest and hardest international Olympiad, occurring annually since 1959.
• World Maths Day (WMD); uniting the world in numbers, open to all school aged children globally <http://www.worldmathsday.com>
• AIMMS/MOPTA Optimization Modelling Competition for university students, held annually. <http://mopta.ie.lehigh.edu>
• 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. <http://vjimc.osu.cz/>
• China Girls Mathematical Olympiad (CGMO) — Olympiad held annually in different cities in China 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 (IMC) — international competition for undergraduate students. <http://www.imc-math.org.uk/>
• International Scientific Olympiad on Mathematics for Undergraduate University Students (ISOM) — competition for undergraduates held annually in Iran. <http://olympiad.sanjesh.org/en/index.asp>
• International Schools Mathematics Teachers Foundation (ISMTF) — annual competition for high school students attending an international school. Held every year in a different school. <http://www.ismtf.org/>
• Invitational World Youth Mathematics Intercity Competition (IWYMIC) — held annually for students under 15.5 years old worldwide. <http://www.iwymicsa.co.za/>
• 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, Cyprus, 7–12 March 2007, the second in Athens, Greece, 5–10 March 2008, the third in Agros, Cyprus, 4–9 March 2009, the fourth in Plovdiv, Bulgaria, 8–13 March 2010, the fifth in Bucharest, Romania, 2–6 March 2011, the sixth in Blagoevgrad, Bulgaria, 6–11 March 2012. (http://www.seemous.eu/, http://seemous2010.fmi-plovdiv.org/, http://fmi.unibuc.ro/seemous2011/ and http://seemous2012.swu.bg/seemous/)
• Mathematical Contest in Modeling (MCM) — team contest for undergraduates <http://www.comap.com/undergraduate/contests/mcm/>
• Interdisciplinary Contest in Modeling (ICM) — team contest for undergraduates <http://www.comap.com/undergraduate/contests/icm/>
• Purple Comet! Math Meet — annual on-line team contest for high school & middle school <http://purplecomet.org/>
• Math exercises for kids — Daily worldwide competition <http://www.math-exercises-for-kids.com/competition/math-world-cup.php>
• Primary Mathematics World Contest (PMWC) — worldwide competition.
• Tournament of the Towns — worldwide competition.
• Mathematical Kangaroo — worldwide competition.<http://www.mathkang.org>
• Championnat International de Jeux Mathématiques et Logiques — for all ages, mainly for French-speaking countries, but participation is not limited by language. <http://ffjm.cijm.org>
• 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.<http://www.rmm.lbi.ro/>
• Rocket City Math League (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). <http://www.rocketcitymath.org>
• Mental Calculation World Cup — a contest for the best mental calculators
• 'Online Math' Event of the annual technical festival Shaastra, Indian Institute of Technology Madras (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) <http://www.itym.org/>
• Mathorcup Global Mathematical Modeling Challenge (MGMMC) — team contest for undergraduates <http://www.mathor.com/>
• Open International Project <http://e-competition.eu> - Mathematics Online Competition "Eruditus" for Students <http://www.eruditus.lt/>

Regional mathematics competitions[link]

• AITMO (Asian Inter-city Teenagers Mathematics Olympiad) — for junior secondary students around the Eastern Asian region
• APMO (Asian Pacific Mathematics Olympiad) — Pacific rim
• APMCM (Asian Pacific Mathematics Contest in Modeling) — Pacific rim<http://www.mathor.com>
• Balkan Mathematical Olympiad — for students from 15.5 years old from Balkan area
• Baltic Way — Baltic area
• ICAS-Mathematics (http://www.eaa.unsw.edu.au/about_icas/mathematics, formerly Australasian Schools Mathematics Assessment)
• Junior Balkan Mathematical Olympiad — for students under 15.5 years old from Balkan area
• BxMO (Benelux Mathematical Olympiad) — since 2009
• EGMO (European Girls' Mathematical Olympiad) — starts April 2012 <http://www.egmo2012.org.uk>
• MEMO (Middle European Mathematical Olympiad) — Germany, Croatia, Austria, Poland, Switzerland, Slovakia, Slovenia, Czech Republic, Hungary
• NMC (Nordic Mathematical Contest) — the five Nordic countries
• Nordic university-level mathematics team-competition — For Nordic undergraduates <http://cc.oulu.fi/~phasto/competition/>
• OIM (Olimpíadas Iberoamericanas de Matemática) — Spain, Portugal and Latin America <http://www.oei.es/oim/index.html>
• Olimpiada de mayo (competitions for selecting the participants of Olimpiada Matematica Rioplatence) <http://www.oma.org.ar/internacional/may.htm>
• 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) <http://www.oma.org.ar/internacional/omr.htm>
• 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) — South-East Asia
• SEAMC (South East Asian Mathematics Competition) — South-East Asia <http://www.seamc.asia>
• William Lowell Putnam Mathematical Competition — USA and Canada <http://www.maa.org/awards/putnam.html>
• 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. <http://www.hci.sg/aphelion/apmops/index.htm>
• ZIMO (Zhautykov International Mathematical Olympiad) — for teams from specialized schools in post-soviet region <http://izho2008.fiz-mat.kz/>
• Hungary-Israel Mathematical Competition. It was established in 1990. Only these 2 countries participate and one is the host. It is held 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 <http://e-competition.eu> - Mathematics Online Competition "Eruditus" for Students <http://www.eruditus.lt/>

National mathematics competitions[link]

Albania[link]

a) Olimpiada Kombetare e Matematikes b) Olimpiada Mbarekombetare e Revistes Plus

Argentina[link]

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

Australia[link]

• APSMO (Australasian Problem Solving Mathematical Olympiads, http://www.apsmo.info)
• AMC (Australian Maths Challenge, http://www.mathletics.com.au/challenge)
• AMC (Australian Mathematics Competition, http://www.amt.edu.au)
• AMO (Australian Mathematical Olympiad, http://www.amt.edu.au)
• AIMO (Australian Intermediate Mathematical Olympiad)
• UNSW School Mathematics Competition <http://www.maths.unsw.edu.au/highschool/unsw/highcomps.html>
• HSFOL (Have Sum Fun Online) - an online team competition from the Mathematics Association of West Australia <http://www.havesumfunonline.com/>

Austria[link]

• ÖMO (Österreichische Mathematik Olympiade) <http://www.oemo.at>

Bangladesh[link]

• Bangladesh Mathematical Olympiad(Jatio Gonit Utshob) <http://www.matholympiad.org.bd>

Belgium[link]

French-speaking students from Belgium and Luxembourg can compete in the OMB (Olympiade Mathématique Belge) consisting of three categories:

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

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

Bosnia and Herzegovina[link]

• XV matematička olimpijada Bosne i Hercegovine, Mostar, 15. maj 2010.^[1]

Brazil[link]

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, 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/)

Bulgaria[link]

• Bulgarian Competition in Mathematics and Informatics <http://www.math.bas.bg/bcmi/>
• National Student Olympiad in Mathematics, with international participation (2012 - http://www.ue-varna.bg/nsom/, 2011 - http://nsom.vuzf.bg/, 2010 - http://www.fmi.uni-sofia.bg/nsom, 2007 - http://olymp07-1.page.tl/)

Canada[link]

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

Full Solutions:

• Euclid (12th grade students)
• Canadian Senior Mathematics Contest (11th and 12th grade students)
• Canadian Intermediate Mathematics Contest (9th and 10th 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)

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

• Canadian Mathematics Olympiad, the official mathematical Olympiad of Canada and its International Mathematical Olympiad TST, or team selection test.
• Canadian Open Mathematics Challenge (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 as a second chance to qualify for the Canadian Mathematics Olympiad)

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 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[link]

• 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[link]

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

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

Cyprus[link]

• Cyprus Mathematical Olympiad — 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[link]

• 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)

Denmark[link]

• Georg Mohr (Contest for Danish high school students, http://www.georgmohr.dk)

France[link]

• National Olympiads
• Kangourou des mathématiques
• Concours général

Georgia[link]

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

Germany[link]

• 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[link]

• Θαλής (Thales) - first round
• Ευκλείδης (Euclides) - second round
• Αρχιμήδης (Archimedes) - 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[link]

• Hong Kong Mathematics Olympiad
• The Hong Kong Mathematical High Achievers Selection Contest. 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 (Official Website)
• Inter-school Mathematics Contest, a yearly contest organized by the Hong Kong Joint School Mathematics Society.
• Sing Yin Secondary School Invitational Mathematics Competition (Official Website)

Hungary[link]

• Miklos Schweitzer Competition
• 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 (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 )
• 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)

India[link]

Proof-based Mathematics Olympiads[link]

• 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.^[2]
• 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 [1]
• National Genius Search Examination (NGSE) which leads to National Genius Awards conducted by National Genius Search Foundation for Class V to XII ( http://www.ngsfindia.org)
• Online Maths Olympiad (OMO) conducted by iAchieve for classes 2 to 10. {http://www.iachieve.in]
• resostart

Application-based Mathematics Contests[link]

• International Assessments for Indian Schools.

National Genius Search Examination which leads to National Genius Awards

Indonesia[link]

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[link]

• 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[link]

• 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 <http://www.irmo.ie/>. Students that perform well in the Junior Certificate 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 <http://www.maths.nuigalway.ie/PRISM/>.
• Team Math is held annually for secondary school students.

Israel[link]

• 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.

Italy[link]

• Olimpiadi Italiane della Matematica (Italian Mathematical Olympiad). This is the national qualifying stage of the International Mathematical Olympiad.
• Campionati Internazionali di Giochi Matematici (International Mathematical Game Championship). This is the national qualifying stage of the Championnat International de Jeux Mathématiques et Logiques.
• Kangourou della Matematica (Mathematics Kangaroo). This is the national version of the Mathematical Kangaroo.

Japan[link]

• JMO (Japanese Mathematical Olympiad)
• Kinki University Mathematics Contest

Lithuania[link]

• Open International Project <http://e-competition.eu> - Mathematics Online Competition "Eruditus" for Students <http://www.eruditus.lt/>

South Korea[link]

• 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[link]

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

Macedonia[link]

• 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[link]

• 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[link]

• MMO (Mexican Mathematical Olympiad <http://www.omm.unam.mx/> 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)

Myanmar[link]

This section is empty. You can help by adding to it.

Netherlands[link]

• 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[link]

• Australasian Problem Solving Mathematical Olympiads (APSMO) <http://www.apsmo.info>
• Otago Problem Challenge <http://www.maths.otago.ac.nz/pc/>
• 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 <http://www.amt.canberra.edu.au/>
• National Bank Junior Mathematics Competition (NBJMC) <http://www.maths.otago.ac.nz/nbjmc/JMChome.php>
• September Problems (IMO Selection)

Norway[link]

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

Pakistan[link]

• 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 [2]

Paraguay[link]

• Olimpiadas Matemáticas Paraguayas (OMAPA) [3]

Peru[link]

• 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[link]

• 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
• Math-Science Quiz- National Secondary Schools

Poland[link]

• Polish Mathematical Olympiad (Website)

Portugal[link]

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

Puerto Rico[link]

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

Romania[link]

• Romanian National Olympiad <http://www.gazetamatematica.net/?q=forum/1019>
• Annual Contest of Gazeta Matematica "Nicolae Teodorescu" <http://www.gazetamatematica.net/?q=node/28>
• The Mathematical Contest Traian Lalescu <http://www.colegiulnegruzzi.ro/index.php/negruzzi/activitati/premianti-subiecte-si-rezolvari/>

Russian Federation[link]

• All-Russian Mathematical Olympiad <http://math.rosolymp.ru/>
• St.Petersburg Math Olympiad <http://www.pdmi.ras.ru/~olymp/index.html>
• Moscow Math Olympiad <http://olympiads.mccme.ru/mmo/>
• Leonard Euler Math Olympiad <http://www.matol.ru/>

Serbia[link]

• Mathematical competitions in Serbia [4]
• Problems from previous competitions - http://www.dms.org.rs/index.php?action=competitions_mathematics&change=true

Singapore[link]

• Singapore Mathematical Olympiad (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[link]

• Vega's Competition for elementary school students <http://www.dmfa.si/mat_OS/index.html>
• 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 <http://www.dmfa.si/RM>

Slovakia[link]

• MO Mathematical Olympiad (in Slovak: Matematická olympiáda)
  • official website: http://skmo.sk
  • official website in English: http://skmo.sk/?jazyk=en
  • another website: http://matematika.okamzite.eu
• KMS Korešpondenčný matematický seminár http://kms.sk/
• iKS Korešpondenčný matematický seminár http://kms.sk/iks
• 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[link]

• South African Mathematics Olympiad (SAMO, http://www.samf.ac.za/)
• University of Cape Town Mathematics Competition <http://mth.uct.ac.za/competition/>
• Living Maths <http://www.livingmaths.com>
• Amesa <http://academic.sun.ac.za/mathed/AMESA/Challenge/Index.htm>

Sweden[link]

• 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[link]

• 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[link]

• 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[link]

• 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 <http://www.atsm.org.tn>

Turkey[link]

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

Ukraine[link]

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

United Kingdom[link]

• Most competitions are organised by the UK Mathematics Trust.
• The Primary Mathematics Challenge (for primary school pupils) is organised by the Mathematical Association.
• The Junior Mathematical Challenge is a multiple-choice competition for students up to year 8 in England and Wales, year S2 in Scotland, year 9 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 (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 <http://www.bmoc.maths.org/>.
• 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 Maths Challenge is a competition for Year 6 primary school pupils from London organised by UCL student volunteers <http://www.smnd.sk/kotanyi/maths_challenge/>.

United States[link]

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)[link]

• ABACUS International Math Challenge^[3] (grades 3-8)
• American Math Challenge, incorporating the MATHCOUNTS Foundation Online Challenge [5] (ages 9 –14)
• Continental Mathematics League[6] (grades 2 - 9, Calculus and Computer)
• Math Kangaroo Competition[7] (grades 2-12)
• Math League (grades 4-12)
• Mathematical Olympiads for Elementary and Middle Schools (MOEMS) (grades 4-6 and 7-8)
• MathFax[8] (grades 3-12)
• MathWizz[9] (grades K-12)
• Monthly Math Challenge Problems^[4] (grades K-2)
• Noetic Learning Math Contest^[5] (grades 2-5)
• Online Math League[10] (grades 2-9)
• Perennial Math^[6] (grades 4-8)
• SBU Math Contest^[7] (grades 3-8)
• The Math & Logic Contests (grades 2-6)

National middle school competitions (grades 6-8)[link]

• ABACUS International Math Challenge^[3] (grades 3-8)
• American Math Challenge, incorporating the MATHCOUNTS Foundation Online Challenge [11] (ages 9 –14)
• American Mathematics Contest 8 (AMC->8), formerly the American Junior High School Mathematics Examination (AJHSME)
• Continental Mathematics League[12] (grades 2 - 9, Calculus and Computer)
• Kumon Math Challenge^[8] (grades 1-10)
• Math Kangaroo Competition[13] (grades 2-12)
• Math League (grades 4-12)
• MATHCOUNTS
• MathFax[14] (grades 3-12)
• Mathematical Olympiads for Elementary and Middle Schools (MOEMS)
• MathWizz[15] (grades K-12)
• Online Math League[16] (grades 2-9)
• Purple Comet! Math Meet[17]
• Rocket City Math League[18] (pre-algebra to calculus)
• SBU Math Contest^[7] (grades 3-8)
• SIGMA http://sigmamathcontest.com [grades 6-9]
• United States of America Mathematical Talent Search (USAMTS)

National high school competitions (grades 9-12)[link]

• American Invitational Mathematics Examination (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 (ARML)
• Duke University Math Meet^[9] (DUMU)
• iTest
• Harvard-MIT Mathematics Tournament (HMMT)
• High School Mathematical Contest in Modeling^[10] (HiMCM)
• Kumon Math Challenge^[8] (grades 1-10)
• Mandelbrot Competition
• Math Kangaroo Competition[19] (grades 2-12)
• Math League (grades 4-12)
• MathFax[20] (grades 3-12)
• MathWizz[21] (grades K-12)
• Moody's Mega Math Challenge
• Mu Alpha Theta
• National Assessment & Testing
• Online Math League^[11] (grades 2-12)
• Princeton University Mathematics Competition (PUMaC)
• Purple Comet Math Meet
• United States of America Mathematical Olympiad (USAMO)
• United States of America Mathematical Talent Search (USAMTS)
• Rocket City Math League[22] (pre-algebra to calculus)
• SkillsUSA Related Technical Math ^[12]
• SIGMA http://sigmamathcontest.com (Grades 6-9)
• Stanford Math Tournament http://sumo.stanford.edu/smt/
• Caltech Harvey Mudd Math Competition
• Berkeley Math Competition
• Regional Math Field Day competitions

National college competitions[link]

• AMATYC Mathematics Contest
• Mathematical Contest in Modeling (MCM)
• William Lowell Putnam Mathematical Competition

Regional competitions[link]

See List of United States regional mathematics competitions.

United States external links[link]

• 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

Uruguay[link]

• Com-Partida de Matemática del Uruguay (CPM, http://www.compartida.org)

Venezuela[link]

• Olimpíada Recreativa de Matemática de Venezuela (ORM, http://www.olimpiadarecreativa.com)
• Olimpíada Juvenil de Matemática de Venezuela (OJM, http://www.acm.ciens.ucv.ve/)

Vietnam[link]

• 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).

See also[link]

• Soviet Student Olympiads
• Mathematics scholarship competitions

References[link]