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The content ranges from extremely difficult algebra and pre-calculus problems to problems in branches of mathematics not conventionally covered in secondary or high school and often not at university level either, such as projective and complex geometry, functional equations, combinatorics, and well-grounded number theory, of which extensive knowledge of theorems is required.
IMO medalists have also gone on to become notable computer scientists. The following IMO medalists have received a Nevanlinna Prize, a Knuth Prize, or a Gödel Prize; these awards recognise research in theoretical computer science. G denotes an IMO gold medal, S denotes a silver medal, B denotes a bronze medal, and P denotes a perfect score.
North Korea is the only country whose entire team has been caught cheating, resulting in its disqualification at the 32nd IMO in 1991 and the 51st IMO in 2010. [6] (However, the 2010 case was controversial. [7] [8]) There have been other disqualifications of contestants due to cheating, but such cases are not officially made public. [9]
Two papers are set, each with 3 problems. The examination is held on two consecutive mornings, and contestants have 4 hours and 30 minutes each day to work on the 3 problems. The Chinese Mathematical Olympiad is graded in 3-point increments, so that each problem is worth 21 points, making the total score 126, triple that of the IMO. [4]
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Hrvatsko matematičko društvo invites about 20 contestants who performed best at the national level (national level competition is separated by age) to the Croatian Mathematical Olympiad (Hrvatska matematička olimpijada, HMO) which consists of 2 days, 4 problems each. The best ~10 are invited to the IMO test, the rest to the MEMO test.
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The competition is three hours long. There are five questions on the CMO, each worth seven marks, for a total of 35 points. Each problem is graded the same way as it is on the IMO. From 1969 to 1972, the CMO was ten questions long. In the 1970s, the exam length changed a number of times before finally stabilizing to five questions in 1979.