Maths Olympiad Prep

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Korean Mathematical Olympiad Final Round

21 problems here, rated 5.2 to 7.9 on our scale (AIME, harder to National Olympiad, round 2). 21 of them ask for a proof.

Algebra 4Combinatorics 6Geometry 6Number theory 5
#TopicDiffTypeYear
1 Algebra 5.2 proof open
2 Algebra 5.7 proof open
3 Number theory 5.7 proof open
4 Number theory 5.8 proof open
5 Number theory 6.0 proof open
6 Geometry 6.4 proof open
7 Algebra 6.6 proof open
8 Geometry 6.7 proof open
9 Geometry 6.8 proof open
10 Number theory 6.9 proof open
11 Combinatorics 7.0 proof open
12 Geometry 7.1 proof open
13 Geometry 7.1 proof open
14 Combinatorics 7.3 proof open
15 Geometry 7.4 proof open
16 Number theory 7.4 proof open
17 Combinatorics 7.5 proof open
18 Combinatorics 7.6 proof open
19 Combinatorics 7.7 proof open
20 Algebra 7.8 proof open
21 Combinatorics 7.9 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.