Maths Olympiad Prep

Library /Mongolian Mathematical Olympiad

Mongolian Mathematical Olympiad

108 problems here, rated 4.7 to 7.5 on our scale (AIME to National Olympiad, round 2). 108 of them ask for a proof.

Algebra 24Combinatorics 26Geometry 28Number theory 30
#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 Combinatorics 5.7 proof — open
34 Geometry 5.7 proof — open
35 Number theory 5.7 proof — open
36 Geometry 5.8 proof — open
37 Geometry 5.8 proof — open
38 Number theory 5.8 proof — open
39 Number theory 5.8 proof — open
40 Number theory 5.8 proof — open
41 Number theory 5.9 proof — open
42 Combinatorics 5.9 proof — open
43 Number theory 5.9 proof — open
44 Algebra 5.9 proof — open
45 Number theory 5.9 proof — open
46 Combinatorics 6.0 proof — open
47 Algebra 6.0 proof — open
48 Number theory 6.0 proof — open
49 Combinatorics 6.0 proof — open
50 Combinatorics 6.0 proof — open
51 Algebra 6.0 proof — open
52 Number theory 6.0 proof — open
53 Algebra 6.0 proof — open
54 Combinatorics 6.0 proof — open
55 Combinatorics 6.0 proof — open
56 Number theory 6.0 proof — open
57 Number theory 6.0 proof — open
58 Algebra 6.0 proof — open
59 Number theory 6.1 proof — open
60 Number theory 6.1 proof — open
61 Number theory 6.1 proof — open
62 Combinatorics 6.2 proof — open
63 Combinatorics 6.2 proof — open
64 Number theory 6.2 proof — open
65 Number theory 6.2 proof — open
66 Combinatorics 6.3 proof — open
67 Geometry 6.3 proof — open
68 Algebra 6.3 proof — open
69 Combinatorics 6.3 proof — open
70 Algebra 6.4 proof — open
71 Algebra 6.4 proof — open
72 Combinatorics 6.4 proof — open
73 Geometry 6.5 proof — open
74 Combinatorics 6.5 proof — open
75 Combinatorics 6.5 proof — open
76 Geometry 6.5 proof — open
77 Combinatorics 6.5 proof — open
78 Geometry 6.5 proof — open
79 Geometry 6.5 proof — open
80 Geometry 6.6 proof — open
81 Number theory 6.6 proof — open
82 Number theory 6.6 proof — open
83 Combinatorics 6.7 proof — open
84 Algebra 6.7 proof — open
85 Geometry 6.7 proof — open
86 Geometry 6.7 proof — open
87 Number theory 6.8 proof — open
88 Combinatorics 6.8 proof — open
89 Geometry 6.8 proof — open
90 Combinatorics 6.9 proof — open
91 Geometry 6.9 proof — open
92 Number theory 6.9 proof — open
93 Number theory 6.9 proof — open
94 Number theory 6.9 proof — open
95 Combinatorics 6.9 proof — open
96 Combinatorics 6.9 proof — open
97 Combinatorics 7.0 proof — open
98 Geometry 7.0 proof — open
99 Geometry 7.1 proof — open
100 Combinatorics 7.1 proof — open
101 Combinatorics 7.1 proof — open
102 Combinatorics 7.1 proof — open
103 Algebra 7.2 proof — open
104 Combinatorics 7.3 proof — open
105 Geometry 7.3 proof — open
106 Algebra 7.4 proof — open
107 Algebra 7.5 proof — open
108 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.