Library /Preselection tests for the full-time training

Preselection tests for the full-time training

12 problems here, rated 7.1 to 8.3 on our scale (National olympiad, round 2 to Shortlist). 12 of them ask for a proof.

Algebra 2Combinatorics 2Geometry 5Number theory 3

#	Topic	Diff	Type	Year
1	Number theory	7.1	proof	—	open
2	Geometry	7.3	proof	—	open
3	Algebra	7.5	proof	—	open
4	Number theory	7.6	proof	—	open
5	Geometry	7.6	proof	—	open
6	Geometry	7.6	proof	—	open
7	Geometry	7.6	proof	—	open
8	Combinatorics	7.7	proof	—	open
9	Algebra	7.9	proof	—	open
10	Number theory	8.0	proof	—	open
11	Geometry	8.2	proof	—	open
12	Combinatorics	8.3	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.