Maths Olympiad Prep

Library /Iranian Mathematical Olympiad

Iranian Mathematical Olympiad

207 problems here, rated 4.8 to 7.9 on our scale (AIME to National Olympiad, round 2). 207 of them ask for a proof.

Algebra 63Combinatorics 42Geometry 67Number theory 35
#TopicDiffTypeYear
1 Geometry 4.8 proof — open
2 Geometry 4.8 proof — open
3 Combinatorics 4.9 proof — open
4 Geometry 4.9 proof — open
5 Number theory 5.0 proof — open
6 Algebra 5.0 proof — open
7 Algebra 5.1 proof — open
8 Geometry 5.1 proof — open
9 Number theory 5.1 proof — open
10 Geometry 5.1 proof — open
11 Algebra 5.1 proof — open
12 Number theory 5.1 proof — open
13 Algebra 5.2 proof — open
14 Geometry 5.4 proof — open
15 Combinatorics 5.4 proof — open
16 Algebra 5.4 proof — open
17 Number theory 5.4 proof — open
18 Geometry 5.4 proof — open
19 Geometry 5.5 proof — open
20 Geometry 5.5 proof — open
21 Geometry 5.5 proof — open
22 Geometry 5.5 proof — open
23 Geometry 5.5 proof — open
24 Geometry 5.5 proof — open
25 Algebra 5.5 proof — open
26 Geometry 5.6 proof — open
27 Geometry 5.6 proof — open
28 Geometry 5.6 proof — open
29 Algebra 5.6 proof — open
30 Geometry 5.6 proof — open
31 Geometry 5.7 proof — open
32 Number theory 5.7 proof — open
33 Geometry 5.7 proof — open
34 Algebra 5.7 proof — open
35 Geometry 5.7 proof — open
36 Algebra 5.7 proof — open
37 Algebra 5.7 proof — open
38 Combinatorics 5.7 proof — open
39 Geometry 5.8 proof — open
40 Geometry 5.8 proof — open
41 Algebra 5.8 proof — open
42 Algebra 5.8 proof — open
43 Algebra 5.8 proof — open
44 Geometry 5.8 proof — open
45 Number theory 5.8 proof — open
46 Algebra 5.8 proof — open
47 Combinatorics 5.8 proof — open
48 Algebra 5.8 proof — open
49 Geometry 5.8 proof — open
50 Algebra 5.9 proof — open
51 Geometry 5.9 proof — open
52 Geometry 5.9 proof — open
53 Combinatorics 5.9 proof — open
54 Algebra 5.9 proof — open
55 Geometry 5.9 proof — open
56 Combinatorics 5.9 proof — open
57 Number theory 5.9 proof — open
58 Algebra 5.9 proof — open
59 Number theory 5.9 proof — open
60 Combinatorics 5.9 proof — open
61 Algebra 5.9 proof — open
62 Number theory 6.0 proof — open
63 Combinatorics 6.0 proof — open
64 Algebra 6.0 proof — open
65 Combinatorics 6.0 proof — open
66 Number theory 6.0 proof — open
67 Algebra 6.0 proof — open
68 Algebra 6.0 proof — open
69 Algebra 6.0 proof — open
70 Algebra 6.0 proof — open
71 Geometry 6.0 proof — open
72 Algebra 6.0 proof — open
73 Geometry 6.1 proof — open
74 Algebra 6.1 proof — open
75 Algebra 6.1 proof — open
76 Combinatorics 6.1 proof — open
77 Algebra 6.1 proof — open
78 Combinatorics 6.2 proof — open
79 Number theory 6.2 proof — open
80 Number theory 6.2 proof — open
81 Algebra 6.2 proof — open
82 Geometry 6.2 proof — open
83 Number theory 6.2 proof — open
84 Algebra 6.2 proof — open
85 Algebra 6.2 proof — open
86 Geometry 6.2 proof — open
87 Algebra 6.2 proof — open
88 Combinatorics 6.2 proof — open
89 Geometry 6.2 proof — open
90 Algebra 6.2 proof — open
91 Combinatorics 6.2 proof — open
92 Combinatorics 6.2 proof — open
93 Combinatorics 6.2 proof — open
94 Number theory 6.2 proof — open
95 Number theory 6.2 proof — open
96 Geometry 6.3 proof — open
97 Geometry 6.3 proof — open
98 Number theory 6.3 proof — open
99 Algebra 6.3 proof — open
100 Combinatorics 6.3 proof — open
101 Algebra 6.3 proof — open
102 Combinatorics 6.3 proof — open
103 Geometry 6.3 proof — open
104 Algebra 6.3 proof — open
105 Algebra 6.3 proof — open
106 Algebra 6.3 proof — open
107 Number theory 6.3 proof — open
108 Algebra 6.3 proof — open
109 Number theory 6.3 proof — open
110 Geometry 6.3 proof — open
111 Geometry 6.3 proof — open
112 Algebra 6.3 proof — open
113 Algebra 6.4 proof — open
114 Algebra 6.4 proof — open
115 Geometry 6.4 proof — open
116 Combinatorics 6.4 proof — open
117 Geometry 6.4 proof — open
118 Geometry 6.4 proof — open
119 Geometry 6.4 proof — open
120 Geometry 6.4 proof — open
121 Number theory 6.4 proof — open
122 Geometry 6.4 proof — open
123 Combinatorics 6.4 proof — open
124 Geometry 6.4 proof — open
125 Algebra 6.4 proof — open
126 Algebra 6.4 proof — open
127 Combinatorics 6.5 proof — open
128 Algebra 6.5 proof — open
129 Combinatorics 6.5 proof — open
130 Geometry 6.5 proof — open
131 Algebra 6.5 proof — open
132 Combinatorics 6.5 proof — open
133 Combinatorics 6.5 proof — open
134 Geometry 6.5 proof — open
135 Geometry 6.5 proof — open
136 Geometry 6.5 proof — open
137 Geometry 6.5 proof — open
138 Combinatorics 6.6 proof — open
139 Combinatorics 6.6 proof — open
140 Combinatorics 6.6 proof — open
141 Number theory 6.6 proof — open
142 Algebra 6.6 proof — open
143 Number theory 6.6 proof — open
144 Geometry 6.6 proof — open
145 Number theory 6.6 proof — open
146 Combinatorics 6.6 proof — open
147 Geometry 6.7 proof — open
148 Geometry 6.7 proof — open
149 Number theory 6.7 proof — open
150 Algebra 6.7 proof — open
151 Combinatorics 6.7 proof — open
152 Algebra 6.7 proof — open
153 Algebra 6.7 proof — open
154 Geometry 6.7 proof — open
155 Number theory 6.7 proof — open
156 Geometry 6.7 proof — open
157 Number theory 6.7 proof — open
158 Algebra 6.8 proof — open
159 Algebra 6.8 proof — open
160 Geometry 6.8 proof — open
161 Geometry 6.8 proof — open
162 Number theory 6.8 proof — open
163 Geometry 6.8 proof — open
164 Combinatorics 6.8 proof — open
165 Algebra 6.8 proof — open
166 Geometry 6.8 proof — open
167 Geometry 6.8 proof — open
168 Number theory 6.8 proof — open
169 Geometry 6.8 proof — open
170 Combinatorics 6.8 proof — open
171 Combinatorics 6.8 proof — open
172 Combinatorics 6.9 proof — open
173 Number theory 6.9 proof — open
174 Geometry 6.9 proof — open
175 Number theory 6.9 proof — open
176 Algebra 6.9 proof — open
177 Combinatorics 6.9 proof — open
178 Combinatorics 6.9 proof — open
179 Number theory 7.0 proof — open
180 Number theory 7.0 proof — open
181 Number theory 7.0 proof — open
182 Combinatorics 7.1 proof — open
183 Geometry 7.1 proof — open
184 Combinatorics 7.1 proof — open
185 Geometry 7.1 proof — open
186 Algebra 7.2 proof — open
187 Geometry 7.2 proof — open
188 Algebra 7.2 proof — open
189 Combinatorics 7.2 proof — open
190 Algebra 7.3 proof — open
191 Algebra 7.3 proof — open
192 Algebra 7.3 proof — open
193 Algebra 7.3 proof — open
194 Number theory 7.3 proof — open
195 Geometry 7.3 proof — open
196 Number theory 7.3 proof — open
197 Combinatorics 7.4 proof — open
198 Combinatorics 7.4 proof — open
199 Geometry 7.5 proof — open
200 Combinatorics 7.5 proof — open
201 Number theory 7.5 proof — open
202 Algebra 7.6 proof — open
203 Combinatorics 7.6 proof — open
204 Algebra 7.6 proof — open
205 Geometry 7.8 proof — open
206 Combinatorics 7.8 proof — open
207 Algebra 7.9 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.