International Mathematical Competition is a variety of mathematical competitions held around the world, aiming at stimulating students' interest and love in mathematics and improving their mathematical literacy and problem-solving ability. The following are some well-known international mathematics competitions:

1. International Mathematical Olympiad (IMO): sponsored by the International Mathematical Union (IMU), it is the highest-level mathematical competition for middle school students in the world and is held once a year.

2. American Mathematical Olympiad (AMC): sponsored by the American Mathematical Association (MAA), it is the highest-level mathematical competition for middle school students in the United States and is held twice a year.

3. British Mathematical Olympiad (BMO): sponsored by the British Mathematical Association (BM), it is the highest-level mathematics competition for middle school students in Britain, and it is held once a year.

4. The Canadian Advanced Mathematics Competition (COMC): sponsored by the Canadian Mathematical Association (CMC), it is the highest-level mathematics competition for middle school students in Canada and is held once a year.

5. Australian Mathematical Olympiad (AMC): sponsored by the Australian Mathematical Association (AMZ), it is the highest-level mathematics competition for Australian middle school students and is held once a year.

6. German Mathematical Olympiad (GMT): sponsored by the German Mathematical Association (GMZ), it is the highest-level mathematics competition for German middle school students and is held once a year.

7. Japan National Mathematics Competition for Middle School Students: sponsored by the Ministry of Education, Culture, Sports, and Sports, it is the highest-level mathematics competition for middle school students in Japan and is held once a year.