Library /GARA NAZIONALE di MATEMATICA

GARA NAZIONALE di MATEMATICA

25 problems here, rated 4.3 to 7 on our scale (AIME to National Olympiad, round 2). 25 of them ask for a proof.

Algebra 2Combinatorics 10Geometry 6Number theory 7

#	Topic	Diff	Type	Year
1	Combinatorics	4.3	proof	—	open
2	Geometry	4.7	proof	—	open
3	Number theory	4.7	proof	—	open
4	Geometry	5.1	proof	—	open
5	Algebra	5.1	proof	—	open
6	Geometry	5.4	proof	—	open
7	Algebra	5.5	proof	—	open
8	Number theory	5.5	proof	—	open
9	Geometry	5.7	proof	—	open
10	Geometry	5.7	proof	—	open
11	Number theory	6.0	proof	—	open
12	Geometry	6.3	proof	—	open
13	Combinatorics	6.5	proof	—	open
14	Combinatorics	6.5	proof	—	open
15	Combinatorics	6.5	proof	—	open
16	Number theory	6.6	proof	—	open
17	Combinatorics	6.6	proof	—	open
18	Combinatorics	6.8	proof	—	open
19	Combinatorics	6.8	proof	—	open
20	Number theory	6.9	proof	—	open
21	Number theory	7.0	proof	—	open
22	Number theory	7.1	proof	—	open
23	Combinatorics	7.3	proof	—	open
24	Combinatorics	7.5	proof	—	open
25	Combinatorics	7.6	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.