Maths Olympiad Prep

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Romanian Mathematical Olympiad

229 problems here, rated 4.5 to 7.7 on our scale (AIME to National Olympiad, round 2). 228 of them ask for a proof.

Algebra 112Combinatorics 19Geometry 47Number theory 51
#TopicDiffTypeYear
1 Number theory 4.5 answer — open
2 Algebra 4.7 proof — open
3 Algebra 4.7 proof — open
4 Geometry 4.8 proof — open
5 Geometry 4.8 proof — open
6 Geometry 4.8 proof — open
7 Geometry 4.8 proof — open
8 Algebra 4.8 proof — open
9 Geometry 4.9 proof — open
10 Number theory 4.9 proof — open
11 Algebra 4.9 proof — open
12 Algebra 4.9 proof — open
13 Algebra 4.9 proof — open
14 Geometry 4.9 proof — open
15 Geometry 4.9 proof — open
16 Combinatorics 4.9 proof — open
17 Geometry 4.9 proof — open
18 Algebra 5.0 proof — open
19 Algebra 5.0 proof — open
20 Algebra 5.0 proof — open
21 Algebra 5.0 proof — open
22 Number theory 5.0 proof — open
23 Algebra 5.0 proof — open
24 Geometry 5.0 proof — open
25 Algebra 5.0 proof — open
26 Algebra 5.0 proof — open
27 Algebra 5.0 proof — open
28 Geometry 5.0 proof — open
29 Algebra 5.0 proof — open
30 Combinatorics 5.0 proof — open
31 Algebra 5.0 proof — open
32 Algebra 5.0 proof — open
33 Algebra 5.0 proof — open
34 Algebra 5.0 proof — open
35 Algebra 5.0 proof — open
36 Number theory 5.0 proof — open
37 Number theory 5.0 proof — open
38 Algebra 5.0 proof — open
39 Combinatorics 5.1 proof — open
40 Algebra 5.1 proof — open
41 Number theory 5.1 proof — open
42 Algebra 5.1 proof — open
43 Geometry 5.1 proof — open
44 Algebra 5.1 proof — open
45 Number theory 5.1 proof — open
46 Number theory 5.1 proof — open
47 Number theory 5.1 proof — open
48 Number theory 5.1 proof — open
49 Geometry 5.1 proof — open
50 Algebra 5.1 proof — open
51 Geometry 5.1 proof — open
52 Algebra 5.1 proof — open
53 Algebra 5.1 proof — open
54 Algebra 5.1 proof — open
55 Number theory 5.1 proof — open
56 Algebra 5.1 proof — open
57 Number theory 5.1 proof — open
58 Algebra 5.2 proof — open
59 Geometry 5.2 proof — open
60 Number theory 5.2 proof — open
61 Algebra 5.2 proof — open
62 Algebra 5.2 proof — open
63 Algebra 5.2 proof — open
64 Number theory 5.2 proof — open
65 Geometry 5.2 proof — open
66 Number theory 5.2 proof — open
67 Algebra 5.2 proof — open
68 Number theory 5.2 proof — open
69 Number theory 5.3 proof — open
70 Geometry 5.3 proof — open
71 Number theory 5.3 proof — open
72 Geometry 5.3 proof — open
73 Algebra 5.3 proof — open
74 Number theory 5.3 proof — open
75 Number theory 5.3 proof — open
76 Combinatorics 5.3 proof — open
77 Combinatorics 5.3 proof — open
78 Algebra 5.3 proof — open
79 Algebra 5.3 proof — open
80 Combinatorics 5.3 proof — open
81 Algebra 5.4 proof — open
82 Algebra 5.4 proof — open
83 Algebra 5.4 proof — open
84 Algebra 5.4 proof — open
85 Geometry 5.4 proof — open
86 Number theory 5.4 proof — open
87 Algebra 5.4 proof — open
88 Algebra 5.4 proof — open
89 Algebra 5.4 proof — open
90 Algebra 5.4 proof — open
91 Algebra 5.4 proof 2019 open
92 Number theory 5.4 proof — open
93 Number theory 5.4 proof — open
94 Algebra 5.4 proof — open
95 Number theory 5.4 proof — open
96 Algebra 5.4 proof — open
97 Algebra 5.4 proof — open
98 Geometry 5.4 proof — open
99 Number theory 5.5 proof — open
100 Geometry 5.5 proof — open
101 Number theory 5.5 proof — open
102 Geometry 5.5 proof — open
103 Algebra 5.5 proof — open
104 Geometry 5.5 proof — open
105 Combinatorics 5.5 proof — open
106 Geometry 5.5 proof — open
107 Geometry 5.5 proof — open
108 Combinatorics 5.6 proof — open
109 Geometry 5.6 proof — open
110 Algebra 5.6 proof — open
111 Number theory 5.6 proof — open
112 Algebra 5.6 proof — open
113 Algebra 5.6 proof — open
114 Algebra 5.6 proof — open
115 Combinatorics 5.6 proof — open
116 Algebra 5.6 proof — open
117 Algebra 5.6 proof — open
118 Algebra 5.6 proof — open
119 Number theory 5.6 proof — open
120 Algebra 5.6 proof — open
121 Algebra 5.7 proof — open
122 Geometry 5.7 proof — open
123 Number theory 5.7 proof — open
124 Algebra 5.7 proof — open
125 Number theory 5.7 proof — open
126 Algebra 5.7 proof — open
127 Number theory 5.7 proof — open
128 Algebra 5.7 proof — open
129 Geometry 5.7 proof — open
130 Algebra 5.7 proof — open
131 Algebra 5.7 proof — open
132 Algebra 5.7 proof — open
133 Number theory 5.7 proof — open
134 Number theory 5.7 proof — open
135 Combinatorics 5.8 proof — open
136 Algebra 5.8 proof — open
137 Number theory 5.8 proof — open
138 Algebra 5.8 proof 2019 open
139 Number theory 5.8 proof — open
140 Combinatorics 5.8 proof — open
141 Geometry 5.8 proof — open
142 Algebra 5.8 proof — open
143 Algebra 5.8 proof — open
144 Geometry 5.9 proof — open
145 Number theory 5.9 proof — open
146 Algebra 5.9 proof — open
147 Combinatorics 5.9 proof — open
148 Number theory 5.9 proof — open
149 Algebra 5.9 proof — open
150 Algebra 6.0 proof — open
151 Number theory 6.0 proof — open
152 Number theory 6.0 proof — open
153 Algebra 6.0 proof — open
154 Geometry 6.0 proof — open
155 Algebra 6.0 proof — open
156 Number theory 6.0 proof — open
157 Number theory 6.1 proof — open
158 Geometry 6.1 proof — open
159 Algebra 6.1 proof — open
160 Algebra 6.1 proof — open
161 Algebra 6.1 proof — open
162 Algebra 6.1 proof — open
163 Algebra 6.1 proof — open
164 Algebra 6.1 proof — open
165 Geometry 6.1 proof — open
166 Algebra 6.2 proof — open
167 Algebra 6.2 proof — open
168 Combinatorics 6.2 proof — open
169 Number theory 6.2 proof — open
170 Algebra 6.2 proof — open
171 Geometry 6.2 proof — open
172 Algebra 6.2 proof — open
173 Algebra 6.2 proof — open
174 Algebra 6.2 proof — open
175 Algebra 6.3 proof — open
176 Combinatorics 6.3 proof — open
177 Algebra 6.3 proof — open
178 Algebra 6.3 proof — open
179 Number theory 6.3 proof — open
180 Algebra 6.3 proof — open
181 Geometry 6.3 proof — open
182 Algebra 6.3 proof — open
183 Algebra 6.3 proof — open
184 Algebra 6.4 proof — open
185 Algebra 6.4 proof — open
186 Number theory 6.4 proof — open
187 Algebra 6.4 proof — open
188 Algebra 6.4 proof — open
189 Number theory 6.4 proof — open
190 Algebra 6.5 proof — open
191 Geometry 6.5 proof — open
192 Geometry 6.5 proof — open
193 Geometry 6.5 proof — open
194 Geometry 6.5 proof — open
195 Algebra 6.5 proof — open
196 Geometry 6.6 proof — open
197 Algebra 6.6 proof — open
198 Algebra 6.6 proof 2019 open
199 Geometry 6.6 proof — open
200 Algebra 6.7 proof — open
201 Combinatorics 6.7 proof — open
202 Algebra 6.7 proof — open
203 Algebra 6.7 proof — open
204 Algebra 6.7 proof — open
205 Number theory 6.7 proof — open
206 Geometry 6.7 proof — open
207 Number theory 6.8 proof — open
208 Number theory 6.8 proof — open
209 Algebra 6.8 proof — open
210 Combinatorics 6.8 proof — open
211 Algebra 6.9 proof — open
212 Geometry 6.9 proof — open
213 Geometry 7.0 proof — open
214 Algebra 7.0 proof — open
215 Geometry 7.0 proof — open
216 Algebra 7.1 proof — open
217 Geometry 7.1 proof 2019 open
218 Number theory 7.2 proof — open
219 Combinatorics 7.2 proof — open
220 Geometry 7.2 proof — open
221 Algebra 7.2 proof — open
222 Combinatorics 7.3 proof — open
223 Geometry 7.3 proof — open
224 Number theory 7.3 proof — open
225 Algebra 7.3 proof — open
226 Combinatorics 7.4 proof — open
227 Number theory 7.5 proof — open
228 Algebra 7.5 proof — open
229 Algebra 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.