Maths Olympiad Prep

Library /74th NMO Selection Tests for JBMO

74th NMO Selection Tests for JBMO

11 problems here, rated 5.4 to 7.1 on our scale (AIME, harder to National olympiad, round 2). 11 of them ask for a proof.

Combinatorics 3Geometry 4Number theory 4
#TopicDiffTypeYear
1 Number theory 5.4 proof open
2 Geometry 5.6 proof open
3 Number theory 5.9 proof open
4 Number theory 5.9 proof open
5 Geometry 6.0 proof open
6 Combinatorics 6.0 proof open
7 Geometry 6.4 proof open
8 Number theory 6.5 proof open
9 Combinatorics 6.8 proof open
10 Geometry 6.8 proof open
11 Combinatorics 7.1 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.