AMC 10 A

21 problems here, rated 3.5 to 5.1 on our scale (AMC 10/12 to AIME, harder). 1 of them ask for a proof.

Algebra 9Combinatorics 4Geometry 4Number theory 4

#	Topic	Diff	Type	Year
1	Geometry	3.5	answer	—	open
2	Geometry	3.7	answer	—	open
3	Number theory	3.7	answer	—	open
4	Algebra	3.8	answer	—	open
5	Combinatorics	3.9	answer	—	open
6	Algebra	3.9	answer	—	open
7	Number theory	3.9	answer	—	open
8	Algebra	4.1	answer	—	open
9	Geometry	4.3	answer	—	open
10	Algebra	4.3	answer	—	open
11	Geometry	4.3	answer	—	open
12	Algebra	4.4	answer	—	open
13	Algebra	4.5	answer	—	open
14	Algebra	4.5	answer	—	open
15	Number theory	4.6	answer	—	open
16	Combinatorics	4.6	answer	—	open
17	Combinatorics	4.6	answer	—	open
18	Algebra	4.8	answer	—	open
19	Number theory	4.8	proof	—	open
20	Algebra	4.9	answer	—	open
21	Combinatorics	5.1	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.