Library /Russian mathematical olympiad

Russian mathematical olympiad

103 problems here, rated 4.7 to 7.7 on our scale (AIME to National olympiad, round 2). 103 of them ask for a proof.

Algebra 24Combinatorics 32Geometry 31Number theory 16

#	Topic	Diff	Type	Year
1	Geometry	4.7	proof	—	open
2	Algebra	4.8	proof	—	open
3	Geometry	4.9	proof	—	open
4	Algebra	5.0	proof	—	open
5	Algebra	5.1	proof	—	open
6	Algebra	5.1	proof	—	open
7	Combinatorics	5.1	proof	—	open
8	Number theory	5.1	proof	—	open
9	Combinatorics	5.2	proof	—	open
10	Number theory	5.2	proof	—	open
11	Number theory	5.4	proof	—	open
12	Algebra	5.4	proof	—	open
13	Geometry	5.5	proof	—	open
14	Algebra	5.5	proof	—	open
15	Geometry	5.6	proof	—	open
16	Number theory	5.6	proof	—	open
17	Algebra	5.7	proof	—	open
18	Number theory	5.7	proof	—	open
19	Number theory	5.7	proof	—	open
20	Algebra	5.7	proof	—	open
21	Geometry	5.7	proof	—	open
22	Algebra	5.7	proof	—	open
23	Geometry	5.7	proof	—	open
24	Geometry	5.7	proof	—	open
25	Combinatorics	5.8	proof	—	open
26	Algebra	5.8	proof	—	open
27	Geometry	5.9	proof	—	open
28	Geometry	5.9	proof	—	open
29	Algebra	5.9	proof	—	open
30	Algebra	5.9	proof	—	open
31	Algebra	6.0	proof	—	open
32	Algebra	6.0	proof	—	open
33	Geometry	6.0	proof	—	open
34	Number theory	6.0	proof	—	open
35	Geometry	6.1	proof	—	open
36	Number theory	6.1	proof	—	open
37	Number theory	6.1	proof	—	open
38	Algebra	6.1	proof	—	open
39	Number theory	6.2	proof	—	open
40	Number theory	6.2	proof	—	open
41	Algebra	6.2	proof	—	open
42	Combinatorics	6.2	proof	—	open
43	Combinatorics	6.2	proof	—	open
44	Number theory	6.3	proof	—	open
45	Combinatorics	6.3	proof	—	open
46	Combinatorics	6.3	proof	—	open
47	Combinatorics	6.3	proof	—	open
48	Algebra	6.4	proof	—	open
49	Combinatorics	6.4	proof	—	open
50	Combinatorics	6.4	proof	—	open
51	Geometry	6.5	proof	—	open
52	Geometry	6.5	proof	—	open
53	Geometry	6.5	proof	—	open
54	Combinatorics	6.5	proof	—	open
55	Geometry	6.6	proof	—	open
56	Algebra	6.6	proof	—	open
57	Combinatorics	6.7	proof	—	open
58	Geometry	6.7	proof	—	open
59	Geometry	6.7	proof	—	open
60	Combinatorics	6.7	proof	—	open
61	Number theory	6.8	proof	—	open
62	Geometry	6.8	proof	—	open
63	Combinatorics	6.8	proof	—	open
64	Geometry	6.8	proof	—	open
65	Combinatorics	6.8	proof	—	open
66	Algebra	6.8	proof	—	open
67	Combinatorics	6.9	proof	—	open
68	Combinatorics	6.9	proof	—	open
69	Combinatorics	6.9	proof	—	open
70	Geometry	6.9	proof	—	open
71	Geometry	6.9	proof	—	open
72	Algebra	6.9	proof	—	open
73	Geometry	7.0	proof	—	open
74	Combinatorics	7.0	proof	—	open
75	Geometry	7.0	proof	—	open
76	Algebra	7.0	proof	—	open
77	Algebra	7.1	proof	—	open
78	Geometry	7.1	proof	—	open
79	Geometry	7.1	proof	—	open
80	Combinatorics	7.1	proof	—	open
81	Combinatorics	7.1	proof	—	open
82	Algebra	7.1	proof	—	open
83	Geometry	7.2	proof	—	open
84	Algebra	7.2	proof	—	open
85	Combinatorics	7.2	proof	—	open
86	Geometry	7.3	proof	—	open
87	Combinatorics	7.3	proof	—	open
88	Number theory	7.4	proof	—	open
89	Combinatorics	7.4	proof	—	open
90	Combinatorics	7.5	proof	—	open
91	Number theory	7.5	proof	—	open
92	Combinatorics	7.5	proof	—	open
93	Combinatorics	7.5	proof	—	open
94	Geometry	7.5	proof	—	open
95	Combinatorics	7.5	proof	—	open
96	Geometry	7.6	proof	—	open
97	Number theory	7.6	proof	—	open
98	Combinatorics	7.6	proof	—	open
99	Combinatorics	7.6	proof	—	open
100	Geometry	7.6	proof	—	open
101	Geometry	7.7	proof	—	open
102	Combinatorics	7.7	proof	—	open
103	Combinatorics	7.8	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.