Maths Olympiad Prep

Library /NMO Selection Tests for the Balkan and International Mathematical Olympiads

NMO Selection Tests for the Balkan and International Mathematical Olympiads

18 problems here, rated 7.5 to 8.9 on our scale (National olympiad, round 2 to Shortlist). 18 of them ask for a proof.

Algebra 5Combinatorics 2Geometry 9Number theory 2
#TopicDiffTypeYear
1 Geometry 7.5 proof open
2 Geometry 7.7 proof open
3 Algebra 7.7 proof open
4 Algebra 7.7 proof open
5 Number theory 7.8 proof open
6 Geometry 7.8 proof open
7 Number theory 7.8 proof open
8 Algebra 8.1 proof open
9 Geometry 8.1 proof open
10 Algebra 8.1 proof open
11 Geometry 8.2 proof open
12 Algebra 8.3 proof open
13 Geometry 8.3 proof open
14 Geometry 8.4 proof open
15 Combinatorics 8.4 proof open
16 Geometry 8.5 proof open
17 Geometry 8.7 proof open
18 Combinatorics 8.9 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.