1. International Mathematical Olympiad (IMO): This is the highest level mathematics competition for middle school students in the world. It is held once a year and attracts top students from all over the world.
2. American Mathematics Competition (AMC): This is the highest level mathematics competition for American middle school students. It is divided into four levels: AMC8, AMC 10, AMC 12, and AIME, aiming at selecting players from the American national mathematics team.
3. British Mathematical Olympiad (BMO): This is the highest level mathematical competition for British middle school students. It is held once a year, attracting top students from Britain.
4. China Mathematical Olympiad (CMO): This is the highest level mathematics competition for middle school students in China, which is divided into two stages: the preliminary competition and the final competition, with the aim of selecting the players of China national mathematics team.
5. National Youth Informatics Olympic Competition (NOIP): This is the highest level computer programming competition for middle school students in China, covering mathematical knowledge such as algorithms and data structures.
6. American High School Mathematical Modeling Competition (HiMCM): This is the highest-level mathematical modeling competition for high school students in the United States, requiring participants to solve practical problems and establish mathematical models.
7. Europe -YMO: This is the highest level mathematics competition for middle school students in Europe, which is held once a year and attracts top students from all over Europe.