Library /UkraineMO

UkraineMO

62 problems here, rated 3.7 to 7.7 on our scale (AMC 10/12 to National Olympiad, round 2). 61 of them ask for a proof.

Algebra 20Combinatorics 12Geometry 20Number theory 10

#	Topic	Diff	Type	Year
1	Combinatorics	3.7	answer	—	open
2	Geometry	4.5	proof	—	open
3	Number theory	4.6	proof	—	open
4	Algebra	4.6	proof	—	open
5	Algebra	4.6	proof	—	open
6	Geometry	4.7	proof	—	open
7	Algebra	4.8	proof	—	open
8	Combinatorics	4.8	proof	—	open
9	Number theory	4.8	proof	—	open
10	Algebra	4.8	proof	—	open
11	Algebra	4.8	proof	—	open
12	Algebra	4.9	proof	—	open
13	Algebra	4.9	proof	—	open
14	Algebra	5.0	proof	—	open
15	Geometry	5.0	proof	—	open
16	Combinatorics	5.0	proof	—	open
17	Geometry	5.1	proof	—	open
18	Geometry	5.1	proof	—	open
19	Geometry	5.1	proof	—	open
20	Algebra	5.3	proof	—	open
21	Algebra	5.3	proof	—	open
22	Algebra	5.3	proof	—	open
23	Algebra	5.3	proof	—	open
24	Algebra	5.3	proof	—	open
25	Algebra	5.4	proof	—	open
26	Geometry	5.5	proof	—	open
27	Geometry	5.5	proof	—	open
28	Number theory	5.5	proof	—	open
29	Number theory	5.5	proof	—	open
30	Geometry	5.5	proof	—	open
31	Geometry	5.6	proof	—	open
32	Geometry	5.6	proof	—	open
33	Combinatorics	5.7	proof	—	open
34	Geometry	5.8	proof	—	open
35	Geometry	5.8	proof	—	open
36	Number theory	5.8	proof	—	open
37	Algebra	5.9	proof	—	open
38	Algebra	6.0	proof	—	open
39	Geometry	6.0	proof	—	open
40	Algebra	6.0	proof	—	open
41	Number theory	6.0	proof	—	open
42	Geometry	6.0	proof	—	open
43	Geometry	6.0	proof	—	open
44	Algebra	6.1	proof	—	open
45	Number theory	6.1	proof	—	open
46	Number theory	6.3	proof	—	open
47	Algebra	6.4	proof	—	open
48	Number theory	6.5	proof	—	open
49	Combinatorics	6.5	proof	—	open
50	Combinatorics	6.6	proof	—	open
51	Geometry	6.6	proof	—	open
52	Combinatorics	6.6	proof	—	open
53	Geometry	6.6	proof	—	open
54	Combinatorics	6.7	proof	—	open
55	Number theory	7.0	proof	—	open
56	Geometry	7.1	proof	—	open
57	Geometry	7.3	proof	—	open
58	Algebra	7.3	proof	—	open
59	Combinatorics	7.3	proof	—	open
60	Combinatorics	7.5	proof	—	open
61	Combinatorics	7.5	proof	—	open
62	Combinatorics	7.7	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.