Maths Olympiad Prep

Library /All-Soviet-Union Mathematical Olympiad

All-Soviet-Union Mathematical Olympiad

178 problems here, rated 3.5 to 7.8 on our scale (AMC 10/12 to National Olympiad, round 2). 176 of them ask for a proof.

Algebra 37Combinatorics 49Geometry 65Number theory 27
#TopicDiffTypeYear
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 Number theory 5.8 proof — open
151 Combinatorics 5.8 proof — open
152 Combinatorics 5.8 proof — open
153 Algebra 5.8 proof — open
154 Combinatorics 5.8 proof — open
155 Combinatorics 5.9 proof — open
156 Geometry 5.9 proof — open
157 Number theory 5.9 proof — open
158 Combinatorics 5.9 proof — open
159 Geometry 6.0 proof — open
160 Geometry 6.0 proof — open
161 Combinatorics 6.0 proof — open
162 Number theory 6.1 proof — open
163 Number theory 6.2 proof — open
164 Geometry 6.2 proof — open
165 Algebra 6.2 proof — open
166 Algebra 6.2 proof — open
167 Geometry 6.3 proof — open
168 Geometry 6.6 proof — open
169 Combinatorics 6.8 proof — open
170 Combinatorics 6.8 proof — open
171 Combinatorics 6.8 proof — open
172 Combinatorics 6.8 proof — open
173 Geometry 6.9 proof — open
174 Combinatorics 6.9 proof — open
175 Combinatorics 7.0 proof — open
176 Combinatorics 7.1 proof — open
177 Combinatorics 7.3 proof — open
178 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.