Maths Olympiad Prep

Library /Ukrainian National Mathematical Olympiad - Third Round (Second Tour)

Ukrainian National Mathematical Olympiad - Third Round (Second Tour)

26 problems here, rated 4.9 to 7.4 on our scale (AIME to National Olympiad, round 2). 26 of them ask for a proof.

Algebra 5Combinatorics 8Geometry 8Number theory 5
#TopicDiffTypeYear
1 Algebra 4.5 proof open
2 Geometry 4.9 proof open
3 Geometry 4.9 proof open
4 Geometry 4.9 proof open
5 Geometry 5.0 proof open
6 Combinatorics 5.1 proof open
7 Number theory 5.1 proof open
8 Algebra 5.3 proof open
9 Number theory 5.3 proof open
10 Geometry 5.3 proof open
11 Algebra 5.3 proof open
12 Number theory 5.4 proof open
13 Number theory 5.4 proof open
14 Algebra 5.6 proof open
15 Combinatorics 5.9 proof open
16 Geometry 6.1 proof open
17 Number theory 6.2 proof open
18 Geometry 6.4 proof open
19 Combinatorics 6.5 proof open
20 Geometry 6.7 proof open
21 Combinatorics 6.8 proof open
22 Combinatorics 6.8 proof open
23 Algebra 6.9 proof open
24 Combinatorics 7.0 proof open
25 Combinatorics 7.1 proof open
26 Combinatorics 7.4 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.