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MO in 2023
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official website of Slovak Committee of Mathematical Olympiad
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 o. a. calendar 
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December 2023
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 MO calendar 
September 2023
 123
45678910
11121314151617
18192021222324
252627282930 
October 2023
 1
2345678
9101112131415
16171819202122
23242526272829
3031 
November 2023
 12345
6789101112
13141516171819
20212223242526
27282930 
December 2023
 123
45678910
11121314151617
18192021222324
25262728293031

MATHEMATICAL OLYMPIAD

Mathematical Olympiad is a competition for high school and elementary school students. It is organized by Ministry of Education, Science, Research and Sport of the Slovak Republic in cooperation with Union of Slovak Mathematicians and Physicists (JSMF) and Slovak Committee of Mathematical Olympiad (SKMO) (see Rules of Organization of MO). The competition is directed by SKMO. In regions, it is governed by regional committees of MO and branches of JSMF. In schools, the teachers of mathematics organize the competition.

Recently added documents

1. 10. 22:34 →pdf: 73rd year, Hungarian version, Z5, homework round, problems
1. 10. 22:34 →pdf: 73rd year, Hungarian version, Z6, homework round, problems
1. 10. 22:34 →pdf: 73rd year, Hungarian version, Z7, homework round, problems
1. 10. 22:34 →pdf: 73rd year, Hungarian version, Z8, homework round, problems
1. 10. 22:33 →pdf: 73rd year, Hungarian version, Z9, homework round, problems
1. 10. 22:33 →pdf: 73rd year, Hungarian version, C, homework round, problems
1. 10. 22:33 →pdf: 73rd year, Hungarian version, B, homework round, problems
1. 10. 22:32 →pdf: 73rd year, Hungarian version, A, homework round, problems
30. 9. 09:57 →pdf: 73rd year, C, homework round, hint problems
29. 9. 13:02 →pdf: 73rd year, B, homework round, hint problems
Problems and solution of particular rounds can be found also in documents section.

Forthcoming events

MO
15. 11. → Z5, homework round [?]
15. 11. → Z9, homework round [?]
5. 12. → A, homework round
12. 12. → A, school round
15. 12. → Z5, homework round [?]
15. 12. → Z9, homework round [?]
16. 1. → A, regional round
19. 1. → Z8, Z7, Z6, homework round [?]
23. 1. → B, C, homework round
Related events
The complete schedule can be found in schedule section.

Modification of problem statement in Z7

On September 28, we slightly refined the wording of the 2nd problem in the homework round of category Z7. If you downloaded the problems before, we recommend checking the current version.

64. International Mathematical Olympiad

On 3–13 July 2023, the 64th year of the International Mathematical Olympiad (IMO) was held in Chiba, Japan (which is a suburb of Tokyo). It was attended in total by 618 competitors from 112 countries. Each country could send a maximum of 6 contestants.

Slovakia was represented by:

  • Matej Bachniček, ŠpMNDaG, Bratislava, 1st grade
  • Adam Džavoronok, Gymnázium Poštová 9, Košice, 4th grade
  • Martin Kopčány, Gymnázium Brezno, 4th grade
  • Viktor Imrišek, Gymnázium Grösslingová, Bratislava, 4th grade
  • Eliška Macáková, Gymnázium CENADA, Bratislava, 3rd grade
  • Jakub Šošovička, Gymnázium CENADA, Bratislava, 4th grade
The leader of the Slovak team was Stanislav Krajči (teacher at PF UPJŠ Košice and chairman of Slovak Committee of Mathematical Olympiad). Deputy leader and pedagogical supervisor was double gold and double silver medalist Martin Vodička (teacher at PF UPJŠ Košice and member of Slovak Committee of Mathematical Olympiad).

During two days (July 8 and 9), the students solved two sets of problems, for each problem it was possible to get a maximum of 7 points. The full number of 42 points was obtained by 5 competitors, namely to one participant from South Korea, Romania, USA and two from China. Russia as the state was officially excluded from participation in the IMO for understandable reasons.

The thresholds for winning the bronze, silver and gold medals were staggered this year 18, 25 and 32 points. According to IMO rules, about half of the participants win medals and they share gold, silver and bronze in the ratio 1 : 2 : 3. Honorable mention is given to those students who have solved at least one problem for full number of points.

The results of the Slovak team members can be found in the results section.

In the unofficial ranking of countries, which is created by adding up the points of the entire team, we were ranked 39th, which is a slight improvement over last year. Although we beat the Czech Republic again in the traditional derby (45th), our other partners from V4 Poland and Hungary are ahead of us (32nd and 20th, respectively). The top 5 were China, USA, South Korea, Romania and Canada. Complete results and statistics can be found on the website www.imo-official.org.

Slovakia is already regularly involved in creating problems at the IMO. This year, two Slovak geometric problems from the creative workshop of Patrik Bak made it into the shortlist of 30 problems, but this time none of them made it to the final six.

The problems for the contest are selected from the shortlist through a demanding process lasting several hours in a kind of a "parliament", whose members are the leaders of all delegations. The problems are always elected so that all four areas are represented as evenly as possible, namely algebra, geometry, combinatorics and number theory. On individual days, problems are usually ordered according to expected difficulty.

The next edition of the IMO will be held after five years again in Bath, UK, in July 2024. Australia (2025) and China (2026) will follow.