Maths Olympiad Prep

Library /Mongolian Mathematical Olympiad

Mongolian Mathematical Olympiad

97 problems here, rated 4.7 to 7.5 on our scale (AIME to National Olympiad, round 2). 97 of them ask for a proof.

Algebra 22Combinatorics 22Geometry 26Number theory 27
#TopicDiffTypeYear
1 Geometry 4.7 proof — open
2 Combinatorics 4.8 proof — open
3 Algebra 4.8 proof — open
4 Geometry 4.8 proof — open
5 Geometry 4.9 proof — open
6 Algebra 5.0 proof — open
7 Algebra 5.0 proof — open
8 Number theory 5.0 proof — open
9 Algebra 5.1 proof — open
10 Algebra 5.1 proof — open
11 Number theory 5.1 proof — open
12 Number theory 5.1 proof — open
13 Number theory 5.1 proof — open
14 Geometry 5.2 proof — open
15 Algebra 5.2 proof — open
16 Geometry 5.2 proof — open
17 Geometry 5.2 proof — open
18 Algebra 5.2 proof — open
19 Geometry 5.4 proof — open
20 Number theory 5.4 proof — open
21 Geometry 5.5 proof — open
22 Geometry 5.5 proof — open
23 Number theory 5.5 proof — open
24 Geometry 5.6 proof — open
25 Algebra 5.6 proof — open
26 Algebra 5.6 proof — open
27 Algebra 5.6 proof — open
28 Geometry 5.6 proof — open
29 Algebra 5.6 proof — open
30 Number theory 5.7 proof — open
31 Number theory 5.7 proof — open
32 Algebra 5.7 proof — open
33 Geometry 5.7 proof — open
34 Number theory 5.7 proof — open
35 Geometry 5.8 proof — open
36 Geometry 5.8 proof — open
37 Number theory 5.8 proof — open
38 Number theory 5.8 proof — open
39 Number theory 5.9 proof — open
40 Combinatorics 5.9 proof — open
41 Number theory 5.9 proof — open
42 Combinatorics 6.0 proof — open
43 Algebra 6.0 proof — open
44 Number theory 6.0 proof — open
45 Combinatorics 6.0 proof — open
46 Combinatorics 6.0 proof — open
47 Algebra 6.0 proof — open
48 Number theory 6.0 proof — open
49 Algebra 6.0 proof — open
50 Combinatorics 6.0 proof — open
51 Combinatorics 6.0 proof — open
52 Number theory 6.0 proof — open
53 Algebra 6.0 proof — open
54 Number theory 6.1 proof — open
55 Number theory 6.1 proof — open
56 Number theory 6.1 proof — open
57 Combinatorics 6.2 proof — open
58 Combinatorics 6.2 proof — open
59 Number theory 6.2 proof — open
60 Number theory 6.2 proof — open
61 Combinatorics 6.3 proof — open
62 Geometry 6.3 proof — open
63 Combinatorics 6.3 proof — open
64 Algebra 6.4 proof — open
65 Algebra 6.4 proof — open
66 Combinatorics 6.4 proof — open
67 Geometry 6.5 proof — open
68 Combinatorics 6.5 proof — open
69 Geometry 6.5 proof — open
70 Combinatorics 6.5 proof — open
71 Geometry 6.5 proof — open
72 Geometry 6.6 proof — open
73 Number theory 6.6 proof — open
74 Number theory 6.6 proof — open
75 Combinatorics 6.7 proof — open
76 Algebra 6.7 proof — open
77 Geometry 6.7 proof — open
78 Number theory 6.8 proof — open
79 Combinatorics 6.8 proof — open
80 Geometry 6.8 proof — open
81 Geometry 6.9 proof — open
82 Number theory 6.9 proof — open
83 Number theory 6.9 proof — open
84 Number theory 6.9 proof — open
85 Combinatorics 6.9 proof — open
86 Combinatorics 7.0 proof — open
87 Geometry 7.0 proof — open
88 Geometry 7.1 proof — open
89 Combinatorics 7.1 proof — open
90 Combinatorics 7.1 proof — open
91 Combinatorics 7.1 proof — open
92 Algebra 7.2 proof — open
93 Combinatorics 7.3 proof — open
94 Geometry 7.3 proof — open
95 Algebra 7.4 proof — open
96 Algebra 7.5 proof — open
97 Geometry 7.5 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.