There are several separate competitions in Hungary. The oldest modern mathematical competition, not only in Hungary but also in the world, is the Kürschák Mathematical Competition, founded in 1894 but known as Eötvös Mathematical Competition until 1938. This competition is open for students up to the first year of university and consists of 3 problems. Another important competition is the National Mathematical Competition for Secondary Schools, often referred to as Hungarian MO, for students of age 17-18. This competition was founded in 1923 and refounded (with the reset numbering) in 1947. The competition is divided into three rounds. The final contest consists of 3 problems and is usually divided into two or three categories: technical schools, high schools, specialized high schools. There is an equivalent competition for younger students (age 15-16), the so called Daniel Arany Mathematical Competition, whose final round consists of eight problems. No competitions were held in years 1919-21, 44-46, 56.
Hungary at International Competitions
Hungary participates at the IMO and at the Hungary-Israel MC since their foundations 1959 and 1990 respectively. The IMO team is presumably selected through the national MO and the Hungary-Israel MC. The best Hungarian team success was the 2-nd place in 1997.