Mathematics competitions or mathematical olympiads are competitive events where participants sit a mathematics test. These tests may require multiple choice or numeric answers, or a detailed written solution or proof.

A+Click Math Challenge; international online competition <http://www.aplusclick.com>

Archimedean Challenge — Seasonal (four times a year), 4-months-long, for 13 - 18-year-olds (individuals or groups), participants research a famous, long-standing, unsolved problem in mathematics. <http://euclidlab.org/programs/archimedean-challenge/>

Association of Computational and Mathematical Modeling (AoCMM) Competition; student from any countries under the age of 20 can compete in teams of up to four individuals. The team will be given 14 days to research on two real world problems and will present its solution in the form of a research paper. Scholarships are awarded to top teams. 2016 competition is from October 4 to 18. <http://aocmm.org/>

Caribou Contests — worldwide online contests, provided in English and French, that are held six times throughout the school year for each of the grade levels 3/4, 5/6, 7/8, 9/10 and 11/12. These contests are suitable for all students, not only those who are strong in mathematics, and uniquely contain some interactive questions. Results are available on the evening of the contest day. Video solutions to selected questions and all previous contests can be tried online for free. <https://www.cariboutests.com/>

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>

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.

European Mathematical Cup - Europe <http://emc.mnm.hr/>

Grand Sentinel - International Mathematical Tournament with by far the biggest prizes - Winners get $175,000. <http://grandsentinel.com>

Interdisciplinary Contest in Modeling (ICM) — team contest for undergraduates <http://www.comap.com/undergraduate/contests/icm/>

International Mathematical Modeling Challenge — www.immchallenge.org

International Mathematical Olympiad (IMO) — The oldest international Olympiad, occurring annually since 1959.

International Mathematics Competition for University Students (IMC) — international competition for undergraduate students. <http://www.imc-math.org.uk/>

International Mathematics Contest (Elementary International Mathematics Competition [EMIC] for elementary students and Invitational World Youth Mathematics Intercity Competition [IWYMIC] for secondary students). <http://www.imc-official.org>

International Mathematics Contest - Singapore (IMC - Singapore) <http://www.imcunion.org/>

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/>

International Singapore Maths Competition (ISMC) <http://www.ismc.sg/>

International Tournament of Young Mathematicians (ITYM) <http://www.itym.org/>

International Young Master -MATH BEE & SCIENCE BEE <http://www.internationalyoungmaster.com/home.html>

Mathematical Contest in Modeling (MCM) — team contest for undergraduates <http://www.comap.com/undergraduate/contests/mcm/>

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/)

NCUMC (North Countries Universities Mathematical Competition), organized in Saint Petersburg

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

Open Mathematical Olympiad of the Belarusian-Russian University (International Student Olympiad MathOpen Belarus, Mogilev, Belarus) (http://mathopen.bru.by/)

Perennial Math-This is a four-month online competition for grade 3-12 with 2 different seasons to choose from (Nov-Feb) or (Jan-April). Individual student and team memberships are available. Site also offers online Virtual Tournaments for students to attend through webcam, and Onsite Tournaments at Colleges and Schools. <http://perennialmath.com/tournaments>

Primary Mathematics World Contest (PMWC) — worldwide competition.

Purple Comet! Math Meet — annual on-line team contest for high school & middle school <http://purplecomet.org/>

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>

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/>

Singapore and Asian Schools Math Olympiad (SASMO), a worldwide math competition based on Singapore Math combined with Math Olympiad, Puzzles and Math Games for Grades 2 to 10, http://mathsolympiads.org

Singapore International Mathematics Olympiad Challenge (SIMOC), a worldwide Invitational math and puzzles competition open only to award winners from SASMO, http://simoc.sg/

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, the seventh in Athens, Greece, 21–25 March 2013, the eighth in Iași, Romania, 5–9 March 2014, the ninth is to be held in Ohrid, Republic of Macedonia, 3–8 March 2015. (http://www.massee-org.eu/index.php/mathematical/seemous, http://seemous2010.fmi-plovdiv.org,http://fmi.unibuc.ro/seemous2011/,http://seemous2012.swu.bg/seemous/,http://math.etti.tuiasi.ro/seemous/,http://www.seemous2015.smm.com.mk)

Tournament of the Towns — worldwide competition.

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/>

World Mathematics Challenge (WMC) — an international competition for high school students.

World Maths Day (WMD); uniting the world in numbers, open to all school aged children globally <http://www.worldmathsday.com>

International Mathematics Wizard Challenge, IMWiC

Regional mathematics competitions

AITMO (Asian Inter-city Teenagers Mathematics Olympiad) — for junior secondary students around the Eastern Asian region

APMC (Austrian-Polish Mathematics Competition) (last held in 2006)

APMCM (Asian Pacific Mathematics Contest in Modeling) — Pacific rim<http://www.mathor.com>

APMO (Asian Pacific Mathematics Olympiad) — Pacific rim

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>

Balkan Mathematical Olympiad — for students from 15.5 years old from Balkan area

Junior Balkan Mathematical Olympiad — for students under 15.5 years old from Balkan area

Baltic Way — Baltic area

BxMO (Benelux Mathematical Olympiad) — since 2009

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.

Donova Mathematical Olympiad. Olympiad for all countries through which the Danube passes. Held since 2005.

EGMO (European Girls' Mathematical Olympiad) — since April 2012: <http://www.egmo2012.org.uk>

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.

Mathematical Náboj <http://math.naboj.org> - Team mathematical competition taking place at several center-European cities (Prague, Opava, Bratislava, Košice, Passau, Linz, Kraków, Warszawa, Wrocław, Gdynia, Budapest, Veszprém).

Mediterranean Mathematics Competition. Olympiad for countries in the Mediterranean zone.

NEAMC (North East Asian Mathematics Competition) — North-East Asia <http://www.neamc.asia>

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 college 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>

OIM (Olimpíada Interestadual de Matemática) <http://www.oim-matematica.blogspot.com.br>

Olimpiada Matematica de Centroamérica y del Caribe — Central America and the Caribbean

Olimpiada Matematica de Paises del Cono Sur — 8 countries from South America

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

PAMO (Pan African Mathematics Olympiad)

SEAMO (SEAMEO Mathematics Olympiad) — South-East Asia

SEAMC (South East Asian Mathematics Competition) — South-East Asia <http://www.seamc.asia>

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.

William Lowell Putnam Mathematical Competition — USA and Canada <http://www.maa.org/awards/putnam.html>

ZIMO (Zhautykov International Mathematical Olympiad) — for teams from specialized schools in post-soviet region <http://izho2008.fiz-mat.kz/>

Online mathematics competitions

Online Math Competitions are competitions that are completely free of charge and accessible to everyone on the internet

AoCMM Competition (Association of Computational and Mathematical Modeling, http://aocmm.org/)

Interstellar Math Madness Competition (http://in-ter-stel-lar.com/)

Grand Sentinel - VIP Mathematical Tournament with elements from Natural Sciences - by far the biggest prizes (Winners get $175,000) (http://grandsentinel.com/)

Mathlathon (Organised by: Math Buddy Online)- Online Math Olympiad (http://www.mathbuddyonline.com/mathlathon/index/)

Albania

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

WWO (Wina Wiskunde Olympiade, organized at Katholieke Universiteit Leuven)

Bosnia and Herzegovina

XV matematička olimpijada Bosne i Hercegovine, Mostar, 15. maj 2010.

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 it counted with the participation of 18,3 million students on its first round.

Olimpíada Brasileira de Matemática (OBM), (http://www.obm.org.br/)

Olimpíada Brasileira de Matemática das Escolas Públicas (OBMEP), (http://www.obmep.org.br/)

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

Olimpíada Paulista de Matemática (OPM), (http://www.opm.mat.br/)

Olimpíada de Matemática do Estado do Rio de Janeiro (OMERJ), (http://www.omerj.com.br/)

Olimpíada Mineira da Matemática (OMM), (http://www.mat.ufmg.br/olimpiada/)

Olimpíada de Matemática do Grande ABC (OMABC), (http://portal.metodista.br/omabc)

The Canadian Mathematics Olympiad (CMO) is the official competition whose top performers earn the right to represent Canada at the International Mathematical Olympiad (IMO). It runs each April. To be invited to write the CMO, students need to do very well on at least one of these:

Canadian Open Mathematics Challenge (COMC) - open to all interested students. Runs in November.

CMO Qualifying Repêchage (CMOQR) - by invitation only based on COMC performance. Runs in February.

The competitions above are all "full solution" exams on paper and are operated by the Canadian Mathematical Society. Past exams and solutions are provided free online.

The Spirit of Math Annual National Contest (since 1999) :

Grade 1

Grade 2

Grade 3

Grade 4

The New Pythagoreans Math Competition (http://www.school4math.ca) since 2014, Grades 1-12, hosted annually during May/June. It is an enthusiastic initiative to present math in an enjoyable way to students of all grades when thinking outside the box of the standard multiple choice question.

Canadian Math Kangaroo Contest (http://www.mathkangaroocanada.com) since 2001

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)

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.(8th and 9th 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

Vancouver Math Olympiad Young Years Program (YYP) (since 2015) is a paper-pencil math competition for elementary and middle school students in British Columbia:

Grade 2

Grade 3

Grade 4

Grade 5

Grade 6

Grade 7

Grade 8

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 Olympiad)- for elementary students

HuaLuoGeng Golden Cup (Hua Cup)- for elementary and middle school students

LWMB (Landeswettbewerb Mathematik Bayern / Bavarian Math Competition, http://lwmb.de), LWM (Landeswettbewerb Mathematik Baden-Württemberg / Math Competition of Baden-Württemberg, http://landeswettbewerb-mathematik.de)

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

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, 2012 Official Website)

Nemzetközi Kenguru Matematika Verseny (2nd to 12th grade students)Homepage: http://www.zalamat.hu/

Kalmár László Országos Matematika Verseny (3rd to 8th grade students)

Zrínyi Ilona Országos Matematika Verseny (2nd 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)

The Eötvös competition (Kürschák József, first year university students or below)

Ignited Mind Lab Mental Maths Competition = Excellence in Arithmetic + Application of Maths concepts + HOTS (higher order thinking skills)

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

1. Educational Level Elementary Science Olympiad (Olimpiade Sains Nasional SD)

2. Science Olympiad Level Secondary Education (Olimpiade Sains Nasional SMP)

3. Higher Education Level Science Olympiad (Olimpiade Sains Nsional SMA) 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

INTERNATIONAL SCIENTIFIC LEAGUE OF PAYA is held once in a year in Tehran, the contest contains 3 rounds, Team contest, Individual contest, and Relay contest. The contest is held in 2 fields Mathematics and Physics.

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 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

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. (No longer active, last occurrence was at 2013)

The Beno Arbel Olympiad for middle-school students, seems to replace Zuta since 2014 and is organized by Tel Aviv University

The Orange Math Olympiad, organized by the "Orange" Partner company of cellphones. (No longer active, last occurrence was at 2012)

The University Students Competition, supervised by the Israeli Mathematical Union.

The Tel-Aviv University also participates in the William Lowell Putnam Mathematical Competition.

The Math kangaroo Israel, started 2014, for grades 2-10.

The Baba math competition, for middle-school students, started for religious education only (2014), now open to all (2016).

International Internet Mathematical Olympiad at Ariel University.

Italy

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.

Mangu National Mathematics Contest ( formerly Moi National Mathenatics Contest) which is held annually in the month of June at Mangu High School. The test paper is out of 30. To take the test, participating schools need to organise students in teams. Each team must consist of 10 students(6 form four students and 4 form three students). Several hundreds of schools attend the event with some schools presenting over four teams. There are oral quizzes which are open to anyone. The first to solve and present the answer to these quizzes are awarded with instant goodies. <http://www.elimu2.info/manguhighnew/content.php?pid=45>

Alliance Girl's National Mathematics Contest

Held annually at Alliance Girl's High School. Both paper test and oral quizzes conducted. <http://www.alliancegirlshigh.com/content.php?pid=36>

Lithuania

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

South Korea

University Students Contest of Mathematics (http://www.kms.or.kr/conference/sub10.html)

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), (an annual competition organized by International Islamic University Malaysia, http://www.iium.edu.my/imc)

University of Otago Junior Mathematics Competition <http://www.maths.otago.ac.nz/jmc/>

September Problems (IMO Selection)

New Zealand Maths Olympiad (NZMO) <http://www.nzmosa.org/nz-mathematical-olympiad/>

Niger

Championnat National des Jeux Mathématiques, organized annually by the Association Nigerienne des Jeux Mathématiques(ANJM).

Nigeria

National Mathematics Olympiad (NMO), organized annually by the National Mathematical Center (NMC). <http://www.nmcabuja.org>

National Secondary Schools Mathematics Competition (NASSMAC), sponsored by Promasidor Nigeria Ltd (through their brand Cowbell Milk(tm)). It holds in the second term of every school year, around March to April.

Globe Mathematics Annual Quiz Competition Organized by Federal Ministry of Education for Unity colleges in Nigeria,around January to February.

Norway

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

Pakistan

ISMO (Inter School Maths Olympiad), National ISMO. (For Class V to VIII)

It is a Mathematics test based on Multiple Choice Questions. PakTurk International Schools and Colleges have been successfully organizing the Inter Schools Maths Olympiad (ISMO) for the students of private as well as the State Schools across Pakistan since 2005. ISMO has become a national event and being conducted all over Pakistan. This competition is conducted at different cities simultaneously. Attractive Cash Prizes along with Shields and Certificates are given away to the qualifying candidates. The first position holder (studying in class VIII) is awarded by the title "Al-Khwarizmi of Pakistan, of the year" after the name of Muḥammad ibn Mūsā al-Khwārizmī (Arabic: عَبْدَالله مُحَمَّد بِن مُوسَى اَلْخْوَارِزْمِي) (c. 780 - c. 850), a Persian Muslim mathematician, astronomer and geographer during the Abbasid Empire, a scholar in the House of Wisdom in Baghdad.

Links:

Official ISMO Website

ISMO Past Papers

PakTurk-Maths

Kangaroo

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.

Panama

OPM (Olimpiada Panameña de Matematicas) <http://opm.org.pa/>

Paraguay

Olimpiadas Matemáticas Paraguayas (OMAPA) [3]

Peru

National Mathematic Olympiad - ONEM (Olimpiada Nacional Escolar de Matemática)

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: https://onemperu.wordpress.com/

Philippines

Search for the Outstanding MATHLETE (High School and College Level) - Mathematics Division, University of the Philippines Los Baños

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.

Jr. Math Masters - Lyceum of the Philippines University - Cavite

National Math Wizard - Institute of Integrated Electrical Engineers: Council of Student Chapters

Math-Science Quiz - Philippine Science Consortium

Math-Science Quiz- National Secondary Schools

Math Wizard (College Division) - University of Makati, UMak Mathematics Society

Math Wizard (HSU Division) - University of Makati, UMak Mathematics Society

Sipnayan Math Contest for Grade School, High School, and College Division by Ateneo Mathematical Society (Old Website: sipnayan2012.webnode.com)

Annual Math-Physics Inter-School Quiz Show (AMPIQS for High School Level) - University of the Philippines - Baguio - UP Math-Physics Society

Math - tagisan (Elementary, High School and College level) - Philippine Normal University

Inter-High Math and Physics Quiz (IMPACT) - University of the Philippines Diliman

Singapore International Mathematics Olympiad Challenge (SIMOC). An international math olympiad competition first held in Singapore in 2015 and over 13 countries participated from SASMO's 15 country partners. http://simoc.sg/

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)

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

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

Akdeniz University Mathematical Olympiads (in Turkish) (since 1996)

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

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. Also normally only competitions where the participants write a full proof are called Mathematical Olympiads.

National elementary school competitions (K-5) AND higher

ABACUS International Math Challenge (grades 3-8)

American Math Challenge, incorporating the MATHCOUNTS Foundation Online Challenge [5] (ages 9 –14)

United States of America Mathematical Talent Search (USAMTS)

Math Talent Quest (grades 1-8)

National high school competitions (grade 9-12) AND lower

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)

AoCMM Competition (http://aocmm.org/) Online math modeling research team competition held in fall each year.

Archimedean Challenge — Biannual, 4-months-long, for 13 - 18-year-olds (individuals or groups), participants research a famous, long-standing, unsolved problem in mathematics. <http://euclidlab.org/programs/archimedean-challenge/>