# Problem Collection for Serbia

## History and System

Mathematical competitions in Serbia and Montenegro (former Yugoslavia) have been held since 1956. In the first few years only republic competitions within the former Yugoslavia, of which Serbia and Montenegro were parts, were held. There are four rounds of math competitions in Serbia and Montenegro: Municipal (usually held in early February), Regional (held in late February), Republic (held in middle March) and Federal competition (held in middle April). Today 60-70 high school students from all grades take part at a federal round. The first Federal Mathematical Competition in Yugoslavia was held in Belgrade in 1960, and since then it has been held regularly every year. The system has suffered relatively few changes since then. The earliest Federal Competitions were organized for 3rd and 4th grades of high school only; 2nd grade was added in 1970, and 1st grade in 1974. Since 1982, 3rd and 4th grades compose a single category. After the breakdown of the old Yugoslavia in 1991, the competition continued as a national competition of Serbia and Montenegro (formerly also called Yugoslavia). In 1999, an aggression from the NATO cuisine spoiled the season, and that was the only year without the federal competition.

## Participation at International Competitions

Serbia and Montenegro, formerly within Yugoslavia, has participated at IMO since 1963 and at Balkan MO since 1987. In the recent history, the best success of the team on an IMO is the 10-th place at IMO 2010. The team for international competitions is selected either directly through the Federal Competition, or through an additional selection test, popularly called \“Little Olympiad\“, which is held the day after the competition. In 1999, when the regular system was broken, the team was selected through the republic competition and a selection test held during the war. A selection test is taken by 10-15 students, and its results are taken together with those of the federal competition in selecting the team. A team mostly consists of 3-rd and 4-th grade students. Second grade students get a chance as well, provided they perform well on the Federal Competition. For this reason, the most difficult problems are often given exactly to 2-nd grade, and being selected in an IMO team is considered a great success for them.

## Problems

The total number of available problems is 582.
 1960   1961 MO Final MO Final MO Final MO Final MO Final TSE MO Final TSE MO Final TSE MO Final TSE MO Final TSE MO Final TSE MO Final TSE MO Final TSE MO Final TSE MO Final TSE MO Final TSE MO Final MO Final TSE MO Final TSE MO Final TSE MO Final TSE
 1980   1981 MO Final TSE MO Final TSE MO Final TSE MO Final MO Final MO Final TSE MO Final MO Final TSE MO Final MO Final MO Final TSE MO Final MO Final TSE MO Final MO Final MO Final TSE MO Final TSE MO Final TSE MO Final TSE TSE
 2000   2001 MO Final MO Final MO Final TSE MO Final TSE MO Final TSE MO Final TSE MO Final TSE MO Final MO Final MO Final MO Final MO Final MO Final TSE MO Final TSE MO Final TSE MO Final TSE MO Final TSE MO Final TSE MO Final TSE MO Final TSE

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