Maths Olympiad Prep

Library /Mongolian Mathematical Olympiad

Mongolian Mathematical Olympiad

69 problems here, rated 4.7 to 7.5 on our scale (AIME to National olympiad, round 2). 69 of them ask for a proof.

Algebra 18Combinatorics 12Geometry 20Number theory 19
#TopicDiffTypeYear
1 Geometry 4.7 proof — open
2 Algebra 4.8 proof — open
3 Geometry 4.8 proof — open
4 Algebra 5.0 proof — open
5 Number theory 5.0 proof — open
6 Algebra 5.1 proof — open
7 Algebra 5.1 proof — open
8 Number theory 5.1 proof — open
9 Geometry 5.2 proof — open
10 Geometry 5.2 proof — open
11 Geometry 5.2 proof — open
12 Geometry 5.4 proof — open
13 Geometry 5.5 proof — open
14 Geometry 5.6 proof — open
15 Algebra 5.6 proof — open
16 Algebra 5.6 proof — open
17 Algebra 5.6 proof — open
18 Geometry 5.6 proof — open
19 Algebra 5.6 proof — open
20 Number theory 5.7 proof — open
21 Number theory 5.7 proof — open
22 Combinatorics 5.7 proof — open
23 Geometry 5.7 proof — open
24 Number theory 5.7 proof — open
25 Geometry 5.8 proof — open
26 Geometry 5.8 proof — open
27 Number theory 5.8 proof — open
28 Number theory 5.8 proof — open
29 Number theory 5.9 proof — open
30 Number theory 5.9 proof — open
31 Algebra 5.9 proof — open
32 Number theory 5.9 proof — open
33 Combinatorics 6.0 proof — open
34 Algebra 6.0 proof — open
35 Number theory 6.0 proof — open
36 Algebra 6.0 proof — open
37 Algebra 6.0 proof — open
38 Number theory 6.0 proof — open
39 Number theory 6.0 proof — open
40 Number theory 6.1 proof — open
41 Combinatorics 6.2 proof — open
42 Number theory 6.2 proof — open
43 Number theory 6.2 proof — open
44 Combinatorics 6.3 proof — open
45 Geometry 6.3 proof — open
46 Algebra 6.3 proof — open
47 Algebra 6.4 proof — open
48 Algebra 6.4 proof — open
49 Combinatorics 6.4 proof — open
50 Geometry 6.5 proof — open
51 Geometry 6.5 proof — open
52 Number theory 6.6 proof — open
53 Combinatorics 6.7 proof — open
54 Algebra 6.7 proof — open
55 Geometry 6.7 proof — open
56 Combinatorics 6.9 proof — open
57 Geometry 6.9 proof — open
58 Number theory 6.9 proof — open
59 Number theory 6.9 proof — open
60 Combinatorics 6.9 proof — open
61 Geometry 7.1 proof — open
62 Combinatorics 7.1 proof — open
63 Combinatorics 7.1 proof — open
64 Combinatorics 7.1 proof — open
65 Combinatorics 7.3 proof — open
66 Geometry 7.3 proof — open
67 Algebra 7.4 proof — open
68 Algebra 7.5 proof — open
69 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.