Problems from olympiads (main page)

# Problem Collection for Balkan Mathematical Olympiad

## History

The Balkan Mathematical Olympiad (BMO) is a mathematical
competition for high-school students from the region of Balkan.

The first BMO was organized in Greece in 1984. That year four
countries competed: Bulgaria, Cyprus, Greece and Romania.
Since then, the competition has been held annually. Nowadays
there are ten member coutries of BMO: Albania, Bosnia & Herzegovina,
Bulgaria, Cyprus, Greece, FYR Macedonia, Moldova, Romania,
Serbia & Montenegro, Turkey. However, the hosting country may
invite guest teams to participate.

## The Competition

Each country sends up to six contestants, a team leader and a
deputy leader. Like the IMO, this is an individual competition.
On the competition students are given 4.5 hours to solve 4
problems. Each problem is worth 10 points, making 40 the maximum
possible score.

## Awards

Successful contestants are awarded first, second, and third prizes.
A honorable mention is awarded to each student who does not receive
a prize, but who has obtained 10 points on at least one question.
The total number of prizes should not exceed 2/3 of participans,
and the first, second, and third prizes are distributed
approximately in the ratio 1:2:3.

## Problems

The total number of available problems is **104**.