Library /67th NMO Selection Tests for BMO and IMO

67th NMO Selection Tests for BMO and IMO

14 problems here, rated 7.3 to 8.6 on our scale (National olympiad, round 2 to Shortlist). 14 of them ask for a proof.

Algebra 2Combinatorics 3Geometry 5Number theory 4

#	Topic	Diff	Type	Year
1	Number theory	7.3	proof	—	open
2	Geometry	7.5	proof	—	open
3	Number theory	7.5	proof	—	open
4	Combinatorics	7.6	proof	—	open
5	Combinatorics	7.7	proof	—	open
6	Combinatorics	7.9	proof	—	open
7	Geometry	8.0	proof	—	open
8	Number theory	8.0	proof	—	open
9	Number theory	8.0	proof	—	open
10	Algebra	8.1	proof	—	open
11	Geometry	8.2	proof	—	open
12	Geometry	8.2	proof	—	open
13	Geometry	8.4	proof	—	open
14	Algebra	8.6	proof	—	open

These are in difficulty order within this competition, but they are not a course. The track is the ordered route, drawn from across all the sources.