AMC 12 A

21 problems here, rated 3.8 to 6.1 on our scale (AMC 10/12 to National Olympiad). 1 of them ask for a proof.

Algebra 9Combinatorics 2Geometry 7Number theory 3

#	Topic	Diff	Type	Year
1	Algebra	3.8	answer	—	open
2	Algebra	3.8	answer	—	open
3	Algebra	3.8	answer	—	open
4	Algebra	4.1	answer	—	open
5	Algebra	4.2	answer	—	open
6	Geometry	4.3	answer	—	open
7	Combinatorics	4.4	answer	—	open
8	Number theory	4.5	answer	—	open
9	Number theory	4.8	answer	—	open
10	Geometry	5.0	answer	—	open
11	Algebra	5.0	answer	—	open
12	Geometry	5.1	answer	—	open
13	Geometry	5.1	answer	—	open
14	Algebra	5.2	answer	—	open
15	Geometry	5.4	answer	—	open
16	Geometry	5.4	answer	—	open
17	Number theory	5.5	answer	—	open
18	Algebra	5.7	proof	—	open
19	Geometry	5.8	answer	—	open
20	Algebra	5.9	answer	—	open
21	Combinatorics	6.1	answer	—	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.