AMC 10 B

18 problems here, rated 3.7 to 7.2 on our scale (AMC 10/12 to National Olympiad, round 2). 1 of them ask for a proof.

Algebra 5Combinatorics 4Geometry 4Number theory 5

#	Topic	Diff	Type	Year
1	Number theory	3.7	answer	—	open
2	Number theory	3.8	answer	—	open
3	Number theory	3.9	answer	—	open
4	Algebra	4.0	answer	—	open
5	Number theory	4.4	answer	—	open
6	Geometry	4.4	answer	—	open
7	Geometry	4.4	answer	—	open
8	Algebra	4.4	answer	—	open
9	Algebra	4.5	answer	—	open
10	Algebra	4.5	answer	—	open
11	Combinatorics	4.5	answer	—	open
12	Algebra	4.6	answer	—	open
13	Geometry	4.8	answer	—	open
14	Number theory	5.0	answer	—	open
15	Combinatorics	5.1	answer	—	open
16	Combinatorics	5.4	answer	—	open
17	Combinatorics	5.8	answer	—	open
18	Geometry	7.2	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.