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Library /Ukrainian National Mathematical Olympiad, 3rd Round

Ukrainian National Mathematical Olympiad, 3rd Round

28 problems here, rated 4.7 to 6.1 on our scale (AIME to National Olympiad). 28 of them ask for a proof.

Algebra 10Combinatorics 1Geometry 8Number theory 9
#TopicDiffTypeYear
1 Geometry 4.7 proof — open
2 Geometry 4.9 proof — open
3 Geometry 4.9 proof — open
4 Number theory 4.9 proof — open
5 Geometry 4.9 proof — open
6 Algebra 4.9 proof — open
7 Geometry 5.0 proof — open
8 Number theory 5.0 proof — open
9 Number theory 5.1 proof — open
10 Algebra 5.1 proof — open
11 Algebra 5.2 proof — open
12 Number theory 5.2 proof — open
13 Number theory 5.2 proof — open
14 Algebra 5.2 proof — open
15 Number theory 5.2 proof — open
16 Algebra 5.2 proof — open
17 Algebra 5.3 proof — open
18 Number theory 5.3 proof — open
19 Number theory 5.3 proof — open
20 Geometry 5.5 proof — open
21 Algebra 5.5 proof — open
22 Geometry 5.5 proof — open
23 Algebra 5.6 proof — open
24 Geometry 5.6 proof — open
25 Number theory 5.6 proof — open
26 Algebra 5.8 proof — open
27 Algebra 5.9 proof — open
28 Combinatorics 6.1 proof — open
These are sorted by difficulty within the competition, but they aren't a course. The track is the route through, drawn from all the sources at once.