Library /All-Soviet-Union Mathematical Olympiad

All-Soviet-Union Mathematical Olympiad

196 problems here, rated 3.5 to 7.8 on our scale (AMC 10/12 to National Olympiad, round 2). 194 of them ask for a proof.

Algebra 37Combinatorics 58Geometry 72Number theory 29

#	Topic	Diff	Type	Year
1	Geometry	3.5	answer	—	open
2	Number theory	3.7	answer	—	open
3	Algebra	4.2	proof	—	open
4	Geometry	4.2	proof	—	open
5	Geometry	4.3	proof	—	open
6	Geometry	4.4	proof	—	open
7	Geometry	4.4	proof	—	open
8	Geometry	4.4	proof	—	open
9	Geometry	4.5	proof	—	open
10	Geometry	4.5	proof	—	open
11	Geometry	4.5	proof	—	open
12	Algebra	4.5	proof	—	open
13	Algebra	4.5	proof	—	open
14	Geometry	4.5	proof	—	open
15	Number theory	4.5	proof	—	open
16	Geometry	4.5	proof	—	open
17	Algebra	4.5	proof	—	open
18	Algebra	4.5	proof	—	open
19	Algebra	4.5	proof	—	open
20	Number theory	4.5	proof	—	open
21	Geometry	4.5	proof	—	open
22	Algebra	4.5	proof	—	open
23	Geometry	4.5	proof	—	open
24	Geometry	4.5	proof	—	open
25	Algebra	4.5	proof	—	open
26	Geometry	4.6	proof	—	open
27	Geometry	4.6	proof	—	open
28	Algebra	4.6	proof	—	open
29	Number theory	4.6	proof	—	open
30	Algebra	4.6	proof	—	open
31	Geometry	4.6	proof	—	open
32	Algebra	4.6	proof	—	open
33	Geometry	4.6	proof	—	open
34	Algebra	4.6	proof	—	open
35	Geometry	4.6	proof	—	open
36	Combinatorics	4.6	proof	—	open
37	Algebra	4.6	proof	—	open
38	Algebra	4.6	proof	—	open
39	Number theory	4.6	proof	—	open
40	Algebra	4.7	proof	—	open
41	Combinatorics	4.7	proof	—	open
42	Number theory	4.7	proof	—	open
43	Number theory	4.7	proof	—	open
44	Geometry	4.7	proof	—	open
45	Number theory	4.7	proof	—	open
46	Algebra	4.7	proof	—	open
47	Combinatorics	4.7	proof	—	open
48	Algebra	4.7	proof	—	open
49	Algebra	4.7	proof	—	open
50	Combinatorics	4.7	proof	—	open
51	Combinatorics	4.7	proof	—	open
52	Combinatorics	4.7	proof	—	open
53	Algebra	4.7	proof	—	open
54	Geometry	4.7	proof	—	open
55	Number theory	4.7	proof	—	open
56	Geometry	4.7	proof	—	open
57	Algebra	4.7	proof	—	open
58	Number theory	4.8	proof	—	open
59	Algebra	4.8	proof	—	open
60	Number theory	4.8	proof	—	open
61	Geometry	4.8	proof	—	open
62	Geometry	4.8	proof	—	open
63	Geometry	4.8	proof	—	open
64	Algebra	4.8	proof	—	open
65	Algebra	4.8	proof	—	open
66	Algebra	4.8	proof	—	open
67	Combinatorics	4.8	proof	—	open
68	Number theory	4.8	proof	—	open
69	Number theory	4.8	proof	—	open
70	Geometry	4.8	proof	—	open
71	Geometry	4.9	proof	—	open
72	Geometry	4.9	proof	—	open
73	Combinatorics	4.9	proof	—	open
74	Number theory	4.9	proof	—	open
75	Number theory	4.9	proof	—	open
76	Combinatorics	4.9	proof	—	open
77	Geometry	4.9	proof	—	open
78	Algebra	4.9	proof	—	open
79	Combinatorics	4.9	proof	—	open
80	Number theory	5.0	proof	—	open
81	Combinatorics	5.0	proof	—	open
82	Number theory	5.0	proof	—	open
83	Geometry	5.0	proof	—	open
84	Combinatorics	5.0	proof	—	open
85	Geometry	5.0	proof	—	open
86	Combinatorics	5.0	proof	—	open
87	Combinatorics	5.0	proof	—	open
88	Combinatorics	5.0	proof	—	open
89	Number theory	5.0	proof	—	open
90	Geometry	5.0	proof	—	open
91	Number theory	5.1	proof	—	open
92	Number theory	5.1	proof	—	open
93	Combinatorics	5.1	proof	—	open
94	Algebra	5.1	proof	—	open
95	Geometry	5.1	proof	—	open
96	Geometry	5.1	proof	—	open
97	Geometry	5.1	proof	—	open
98	Geometry	5.1	proof	—	open
99	Algebra	5.1	proof	—	open
100	Combinatorics	5.1	proof	—	open
101	Number theory	5.2	proof	—	open
102	Geometry	5.2	proof	—	open
103	Geometry	5.2	proof	—	open
104	Geometry	5.2	proof	—	open
105	Geometry	5.2	proof	—	open
106	Combinatorics	5.3	proof	—	open
107	Algebra	5.3	proof	—	open
108	Combinatorics	5.3	proof	—	open
109	Geometry	5.3	proof	—	open
110	Combinatorics	5.3	proof	—	open
111	Geometry	5.3	proof	—	open
112	Combinatorics	5.3	proof	—	open
113	Combinatorics	5.3	proof	—	open
114	Algebra	5.3	proof	—	open
115	Number theory	5.3	proof	—	open
116	Geometry	5.4	proof	—	open
117	Geometry	5.4	proof	—	open
118	Algebra	5.4	proof	—	open
119	Combinatorics	5.4	proof	—	open
120	Combinatorics	5.4	proof	—	open
121	Geometry	5.4	proof	—	open
122	Combinatorics	5.4	proof	—	open
123	Combinatorics	5.4	proof	—	open
124	Geometry	5.4	proof	—	open
125	Geometry	5.4	proof	—	open
126	Geometry	5.4	proof	—	open
127	Geometry	5.4	proof	—	open
128	Algebra	5.5	proof	—	open
129	Algebra	5.5	proof	—	open
130	Geometry	5.5	proof	—	open
131	Combinatorics	5.5	proof	—	open
132	Geometry	5.5	proof	—	open
133	Geometry	5.6	proof	—	open
134	Geometry	5.6	proof	—	open
135	Number theory	5.6	proof	—	open
136	Combinatorics	5.6	proof	—	open
137	Combinatorics	5.6	proof	—	open
138	Geometry	5.7	proof	—	open
139	Combinatorics	5.7	proof	—	open
140	Combinatorics	5.7	proof	—	open
141	Geometry	5.7	proof	—	open
142	Combinatorics	5.7	proof	—	open
143	Geometry	5.7	proof	—	open
144	Combinatorics	5.7	proof	—	open
145	Geometry	5.7	proof	—	open
146	Algebra	5.7	proof	—	open
147	Combinatorics	5.7	proof	—	open
148	Algebra	5.7	proof	—	open
149	Geometry	5.7	proof	—	open
150	Geometry	5.8	proof	—	open
151	Number theory	5.8	proof	—	open
152	Combinatorics	5.8	proof	—	open
153	Combinatorics	5.8	proof	—	open
154	Combinatorics	5.8	proof	—	open
155	Algebra	5.8	proof	—	open
156	Geometry	5.8	proof	—	open
157	Combinatorics	5.8	proof	—	open
158	Combinatorics	5.9	proof	—	open
159	Geometry	5.9	proof	—	open
160	Geometry	5.9	proof	—	open
161	Number theory	5.9	proof	—	open
162	Combinatorics	5.9	proof	—	open
163	Geometry	6.0	proof	—	open
164	Geometry	6.0	proof	—	open
165	Number theory	6.0	proof	—	open
166	Combinatorics	6.0	proof	—	open
167	Combinatorics	6.0	proof	—	open
168	Number theory	6.1	proof	—	open
169	Combinatorics	6.1	proof	—	open
170	Number theory	6.2	proof	—	open
171	Number theory	6.2	proof	—	open
172	Geometry	6.2	proof	—	open
173	Geometry	6.2	proof	—	open
174	Combinatorics	6.2	proof	—	open
175	Algebra	6.2	proof	—	open
176	Geometry	6.2	proof	—	open
177	Algebra	6.2	proof	—	open
178	Geometry	6.3	proof	—	open
179	Combinatorics	6.3	proof	—	open
180	Combinatorics	6.4	proof	—	open
181	Geometry	6.5	proof	—	open
182	Geometry	6.5	proof	—	open
183	Geometry	6.6	proof	—	open
184	Combinatorics	6.7	proof	—	open
185	Combinatorics	6.8	proof	—	open
186	Combinatorics	6.8	proof	—	open
187	Combinatorics	6.8	proof	—	open
188	Combinatorics	6.8	proof	—	open
189	Geometry	6.9	proof	—	open
190	Combinatorics	6.9	proof	—	open
191	Combinatorics	6.9	proof	—	open
192	Combinatorics	7.0	proof	—	open
193	Combinatorics	7.1	proof	—	open
194	Combinatorics	7.1	proof	—	open
195	Combinatorics	7.3	proof	—	open
196	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.