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Library /THE 68th NMO SELECTION TESTS FOR THE BALKAN AND INTERNATIONAL MATHEMATICAL OLYMPIADS

THE 68th NMO SELECTION TESTS FOR THE BALKAN AND INTERNATIONAL MATHEMATICAL OLYMPIADS

16 problems here, rated 6.8 to 8.6 on our scale (National Olympiad to Shortlist). 16 of them ask for a proof.

Algebra 3Combinatorics 4Geometry 6Number theory 3
#TopicDiffTypeYear
1 Geometry 6.8 proof — open
2 Algebra 7.6 proof — open
3 Algebra 7.7 proof — open
4 Combinatorics 7.8 proof — open
5 Geometry 7.9 proof — open
6 Number theory 8.0 proof — open
7 Geometry 8.0 proof — open
8 Number theory 8.0 proof — open
9 Combinatorics 8.0 proof — open
10 Geometry 8.2 proof — open
11 Number theory 8.2 proof — open
12 Combinatorics 8.2 proof — open
13 Geometry 8.3 proof — open
14 Geometry 8.4 proof — open
15 Combinatorics 8.4 proof — open
16 Algebra 8.6 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.