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.