Library /All-Soviet-Union Mathematical Olympiad

All-Soviet-Union Mathematical Olympiad

185 problems here, rated 3.7 to 7.8 on our scale (AMC 10/12 to National Olympiad, round 2). 184 of them ask for a proof.

Algebra 35Combinatorics 53Geometry 68Number theory 29

#	Topic	Diff	Type	Year
1	Number theory	3.7	answer	—	open
2	Algebra	4.2	proof	—	open
3	Geometry	4.2	proof	—	open
4	Geometry	4.3	proof	—	open
5	Geometry	4.4	proof	—	open
6	Geometry	4.4	proof	—	open
7	Geometry	4.5	proof	—	open
8	Geometry	4.5	proof	—	open
9	Algebra	4.5	proof	—	open
10	Algebra	4.5	proof	—	open
11	Geometry	4.5	proof	—	open
12	Number theory	4.5	proof	—	open
13	Geometry	4.5	proof	—	open
14	Algebra	4.5	proof	—	open
15	Algebra	4.5	proof	—	open
16	Algebra	4.5	proof	—	open
17	Number theory	4.5	proof	—	open
18	Geometry	4.5	proof	—	open
19	Algebra	4.5	proof	—	open
20	Geometry	4.5	proof	—	open
21	Geometry	4.5	proof	—	open
22	Algebra	4.5	proof	—	open
23	Geometry	4.6	proof	—	open
24	Geometry	4.6	proof	—	open
25	Algebra	4.6	proof	—	open
26	Number theory	4.6	proof	—	open
27	Algebra	4.6	proof	—	open
28	Geometry	4.6	proof	—	open
29	Algebra	4.6	proof	—	open
30	Geometry	4.6	proof	—	open
31	Algebra	4.6	proof	—	open
32	Geometry	4.6	proof	—	open
33	Combinatorics	4.6	proof	—	open
34	Algebra	4.6	proof	—	open
35	Number theory	4.6	proof	—	open
36	Algebra	4.7	proof	—	open
37	Combinatorics	4.7	proof	—	open
38	Number theory	4.7	proof	—	open
39	Number theory	4.7	proof	—	open
40	Number theory	4.7	proof	—	open
41	Algebra	4.7	proof	—	open
42	Combinatorics	4.7	proof	—	open
43	Algebra	4.7	proof	—	open
44	Algebra	4.7	proof	—	open
45	Combinatorics	4.7	proof	—	open
46	Combinatorics	4.7	proof	—	open
47	Algebra	4.7	proof	—	open
48	Geometry	4.7	proof	—	open
49	Number theory	4.7	proof	—	open
50	Geometry	4.7	proof	—	open
51	Algebra	4.7	proof	—	open
52	Number theory	4.8	proof	—	open
53	Algebra	4.8	proof	—	open
54	Number theory	4.8	proof	—	open
55	Geometry	4.8	proof	—	open
56	Geometry	4.8	proof	—	open
57	Geometry	4.8	proof	—	open
58	Algebra	4.8	proof	—	open
59	Algebra	4.8	proof	—	open
60	Algebra	4.8	proof	—	open
61	Combinatorics	4.8	proof	—	open
62	Number theory	4.8	proof	—	open
63	Number theory	4.8	proof	—	open
64	Geometry	4.8	proof	—	open
65	Geometry	4.9	proof	—	open
66	Geometry	4.9	proof	—	open
67	Combinatorics	4.9	proof	—	open
68	Number theory	4.9	proof	—	open
69	Number theory	4.9	proof	—	open
70	Geometry	4.9	proof	—	open
71	Algebra	4.9	proof	—	open
72	Combinatorics	4.9	proof	—	open
73	Number theory	5.0	proof	—	open
74	Combinatorics	5.0	proof	—	open
75	Number theory	5.0	proof	—	open
76	Geometry	5.0	proof	—	open
77	Combinatorics	5.0	proof	—	open
78	Geometry	5.0	proof	—	open
79	Combinatorics	5.0	proof	—	open
80	Combinatorics	5.0	proof	—	open
81	Number theory	5.0	proof	—	open
82	Geometry	5.0	proof	—	open
83	Number theory	5.1	proof	—	open
84	Number theory	5.1	proof	—	open
85	Algebra	5.1	proof	—	open
86	Geometry	5.1	proof	—	open
87	Geometry	5.1	proof	—	open
88	Geometry	5.1	proof	—	open
89	Geometry	5.1	proof	—	open
90	Algebra	5.1	proof	—	open
91	Combinatorics	5.1	proof	—	open
92	Number theory	5.2	proof	—	open
93	Geometry	5.2	proof	—	open
94	Geometry	5.2	proof	—	open
95	Geometry	5.2	proof	—	open
96	Geometry	5.2	proof	—	open
97	Combinatorics	5.3	proof	—	open
98	Algebra	5.3	proof	—	open
99	Combinatorics	5.3	proof	—	open
100	Geometry	5.3	proof	—	open
101	Combinatorics	5.3	proof	—	open
102	Geometry	5.3	proof	—	open
103	Combinatorics	5.3	proof	—	open
104	Combinatorics	5.3	proof	—	open
105	Algebra	5.3	proof	—	open
106	Number theory	5.3	proof	—	open
107	Geometry	5.4	proof	—	open
108	Geometry	5.4	proof	—	open
109	Algebra	5.4	proof	—	open
110	Combinatorics	5.4	proof	—	open
111	Combinatorics	5.4	proof	—	open
112	Geometry	5.4	proof	—	open
113	Combinatorics	5.4	proof	—	open
114	Combinatorics	5.4	proof	—	open
115	Geometry	5.4	proof	—	open
116	Geometry	5.4	proof	—	open
117	Geometry	5.4	proof	—	open
118	Geometry	5.4	proof	—	open
119	Algebra	5.5	proof	—	open
120	Geometry	5.5	proof	—	open
121	Combinatorics	5.5	proof	—	open
122	Geometry	5.5	proof	—	open
123	Geometry	5.6	proof	—	open
124	Geometry	5.6	proof	—	open
125	Number theory	5.6	proof	—	open
126	Combinatorics	5.6	proof	—	open
127	Geometry	5.7	proof	—	open
128	Combinatorics	5.7	proof	—	open
129	Combinatorics	5.7	proof	—	open
130	Geometry	5.7	proof	—	open
131	Combinatorics	5.7	proof	—	open
132	Geometry	5.7	proof	—	open
133	Combinatorics	5.7	proof	—	open
134	Geometry	5.7	proof	—	open
135	Algebra	5.7	proof	—	open
136	Combinatorics	5.7	proof	—	open
137	Algebra	5.7	proof	—	open
138	Geometry	5.7	proof	—	open
139	Geometry	5.8	proof	—	open
140	Number theory	5.8	proof	—	open
141	Combinatorics	5.8	proof	—	open
142	Combinatorics	5.8	proof	—	open
143	Combinatorics	5.8	proof	—	open
144	Algebra	5.8	proof	—	open
145	Geometry	5.8	proof	—	open
146	Combinatorics	5.8	proof	—	open
147	Combinatorics	5.9	proof	—	open
148	Geometry	5.9	proof	—	open
149	Geometry	5.9	proof	—	open
150	Number theory	5.9	proof	—	open
151	Combinatorics	5.9	proof	—	open
152	Geometry	6.0	proof	—	open
153	Geometry	6.0	proof	—	open
154	Number theory	6.0	proof	—	open
155	Combinatorics	6.0	proof	—	open
156	Combinatorics	6.0	proof	—	open
157	Number theory	6.1	proof	—	open
158	Combinatorics	6.1	proof	—	open
159	Number theory	6.2	proof	—	open
160	Number theory	6.2	proof	—	open
161	Geometry	6.2	proof	—	open
162	Geometry	6.2	proof	—	open
163	Combinatorics	6.2	proof	—	open
164	Algebra	6.2	proof	—	open
165	Geometry	6.2	proof	—	open
166	Algebra	6.2	proof	—	open
167	Geometry	6.3	proof	—	open
168	Combinatorics	6.3	proof	—	open
169	Combinatorics	6.4	proof	—	open
170	Geometry	6.5	proof	—	open
171	Geometry	6.5	proof	—	open
172	Geometry	6.6	proof	—	open
173	Combinatorics	6.7	proof	—	open
174	Combinatorics	6.8	proof	—	open
175	Combinatorics	6.8	proof	—	open
176	Combinatorics	6.8	proof	—	open
177	Combinatorics	6.8	proof	—	open
178	Geometry	6.9	proof	—	open
179	Combinatorics	6.9	proof	—	open
180	Combinatorics	6.9	proof	—	open
181	Combinatorics	7.0	proof	—	open
182	Combinatorics	7.1	proof	—	open
183	Combinatorics	7.1	proof	—	open
184	Combinatorics	7.3	proof	—	open
185	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.