44th International Mathematical Olympiad_logo
Problems and Solutions

44th International Mathematical Olympiad PRESENTED_BY_Fujitsu
The International Mathematical Olympiad, IMO for short, was first held in 1959, hosted by Romania, to which Hungary, Bulgaria, Poland, Czechoslovakia, East Germany, and Russia were invited. Since then, it has been held, with each participating country hosting it by turns. As time went by, the number of participating countries has been increasing, with 17countries in the 20th IMO (in 1978), 54 in the 31st IMO Beijing (in 1990; this was the year when Japan first took part). In the year 2002, as many as 479 Contestants from 84 countries took part in the IMO United Kingdom. It has now become the well-known competition for young mathematics enthusiasts all over the world.
The host country takes responsibility of running the official Program of IMO for two weeks in July. Each country, after having selected by national competitions 6 Contestants representing the team, sends them to IMO, along with the Leader and Deputy Leader.
The Program for IMO is almost the same every year. The Leaders arrive at the site ahead of the Deputy Leaders and the Contestants. The Leaders from each country get together to discuss and select 6 problems from dozens of short-listed problems that had been scrutinized beforehand. Then, each Leader translates the selected ones into his/her own language. After this process is completed, the Deputy Leaders and Contestants will arrive at the venue.
The Opening Ceremony is held, and the Contest begins the following day to last for two days. Each Contestant has to answer 3 questions in each of the two days in his/her own language, from 9 am. to 1:30 pm.(for 4 and a half hours). After the Contest, the program shifts to entertaining activities such as sightseeing and games, for three days. During this period, the Contestants will have good opportunities to develop international friendship, through sharing talks and entertainment with each other. Meanwhile, the Leaders and Deputy Leaders mark the exam papers, and have Coordination sessions to discuss whether the marking has been done fairly and correctly.
The last day is for the Closing Ceremony, and the Gold, Silver, and Bronze medals will be awarded for excellent performances. Around half of the Contestants are awarded these medals, with Gold/Silver/Bronze in the ratio of 1:2:3. That evening, the IMO ends with Farewell Banquet.

Past Problems and Others
Past Problems:
Problems used in the past IMO competitions can be obtained by following the link below. This is not an official site.

Follow this link to view an archive of past problems used from 1959 to 2002.

Top Medalists: Who has got the largest number of medals so far?

The ranking of the medalists is given in German.