Here is the pdf file. Time allowed – 4 hours, 30 minutes. Each problem is worth 7 points.
Moldova, Second Team Selection Test for IMO-BMO 2008, March 29
Problem 1
Find all solutions of the system:
Problem 2
Let be positive reals so that . Find the minimal value of
Problem 3
Let be the circumcircle of and let [...]
Filed under: Elementary Mathematics, Olympiads | Tagged: BMO, Elementary Mathematics, IMO, Moldova, Olympiad, Team Selection Test | Leave a Comment »
Here goes the pdf file. Time allowed – 4 hours 30 mintues. Each problem is worth 7 points.
Moldova, First Team Selection Test for IMO-BMO 2008, March 3
Problem 1
Let be a prime number. Solve in the equation .
Problem 2
We say the set has property if it can be split into disjoint triples, so [...]
Filed under: Olympiads | Tagged: BMO, Elementary Mathematics, IMO, Moldova, Olympiad, Team Selection Test | Leave a Comment »
Yesterday was the first day and today the second day. Here are the problems for 12th grade.
Check here for the problems in pdf format. Next week I have holiday, so I will try to upload problems for other grades, eventually with solutions.
Day 1
Problem 1
Consider the equation , where . Determine the largest value can take, so [...]
Filed under: Olympiads | Tagged: National Mathematical Olympiad | 2 Comments »
