Maths Olympiad Prep

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Iranian Mathematical Olympiad

92 problems here, rated 5 to 7.9 on our scale (AIME, harder to National olympiad, round 2). 92 of them ask for a proof.

Algebra 26Combinatorics 18Geometry 29Number theory 19
#TopicDiffTypeYear
1 Algebra 5.0 proof — open
2 Number theory 5.0 proof — open
3 Algebra 5.1 proof — open
4 Geometry 5.1 proof — open
5 Geometry 5.4 proof — open
6 Geometry 5.5 proof — open
7 Algebra 5.5 proof — open
8 Geometry 5.6 proof — open
9 Geometry 5.7 proof — open
10 Geometry 5.7 proof — open
11 Algebra 5.7 proof — open
12 Algebra 5.8 proof — open
13 Number theory 5.8 proof — open
14 Algebra 5.8 proof — open
15 Geometry 5.9 proof — open
16 Geometry 5.9 proof — open
17 Number theory 5.9 proof — open
18 Number theory 5.9 proof — open
19 Combinatorics 5.9 proof — open
20 Algebra 5.9 proof — open
21 Combinatorics 6.0 proof — open
22 Number theory 6.0 proof — open
23 Algebra 6.0 proof — open
24 Algebra 6.0 proof — open
25 Geometry 6.1 proof — open
26 Number theory 6.1 proof — open
27 Combinatorics 6.1 proof — open
28 Combinatorics 6.2 proof — open
29 Number theory 6.2 proof — open
30 Algebra 6.2 proof — open
31 Number theory 6.2 proof — open
32 Geometry 6.2 proof — open
33 Algebra 6.2 proof — open
34 Combinatorics 6.2 proof — open
35 Algebra 6.2 proof — open
36 Combinatorics 6.2 proof — open
37 Combinatorics 6.2 proof — open
38 Combinatorics 6.2 proof — open
39 Algebra 6.3 proof — open
40 Combinatorics 6.3 proof — open
41 Algebra 6.3 proof — open
42 Algebra 6.3 proof — open
43 Number theory 6.3 proof — open
44 Algebra 6.3 proof — open
45 Algebra 6.4 proof — open
46 Geometry 6.4 proof — open
47 Geometry 6.4 proof — open
48 Geometry 6.4 proof — open
49 Geometry 6.4 proof — open
50 Geometry 6.4 proof — open
51 Algebra 6.5 proof — open
52 Combinatorics 6.5 proof — open
53 Geometry 6.5 proof — open
54 Geometry 6.5 proof — open
55 Combinatorics 6.6 proof — open
56 Combinatorics 6.6 proof — open
57 Number theory 6.6 proof — open
58 Number theory 6.6 proof — open
59 Geometry 6.7 proof — open
60 Number theory 6.7 proof — open
61 Geometry 6.7 proof — open
62 Geometry 6.8 proof — open
63 Geometry 6.8 proof — open
64 Number theory 6.8 proof — open
65 Geometry 6.8 proof — open
66 Geometry 6.8 proof — open
67 Combinatorics 6.8 proof — open
68 Combinatorics 6.9 proof — open
69 Number theory 7.0 proof — open
70 Number theory 7.0 proof — open
71 Number theory 7.0 proof — open
72 Geometry 7.1 proof — open
73 Algebra 7.1 proof — open
74 Geometry 7.1 proof — open
75 Algebra 7.2 proof — open
76 Geometry 7.2 proof — open
77 Algebra 7.2 proof — open
78 Combinatorics 7.2 proof — open
79 Algebra 7.3 proof — open
80 Algebra 7.3 proof — open
81 Number theory 7.3 proof — open
82 Geometry 7.3 proof — open
83 Number theory 7.3 proof — open
84 Geometry 7.5 proof — open
85 Combinatorics 7.5 proof — open
86 Number theory 7.5 proof — open
87 Algebra 7.6 proof — open
88 Combinatorics 7.6 proof — open
89 Algebra 7.6 proof — open
90 Geometry 7.8 proof — open
91 Combinatorics 7.8 proof — open
92 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.