Maths Olympiad Prep

Library /Japan Mathematical Olympiad

Japan Mathematical Olympiad

83 problems here, rated 4.9 to 7.9 on our scale (AIME to National Olympiad, round 2). 82 of them ask for a proof.

Algebra 19Combinatorics 24Geometry 20Number theory 20
#TopicDiffTypeYear
1 Number theory 4.9 proof — open
2 Algebra 5.0 proof — open
3 Number theory 5.0 answer — open
4 Number theory 5.3 proof — open
5 Number theory 5.4 proof — open
6 Combinatorics 5.6 proof — open
7 Combinatorics 5.6 proof — open
8 Combinatorics 5.6 proof — open
9 Algebra 5.7 proof — open
10 Number theory 5.7 proof — open
11 Number theory 5.7 proof — open
12 Geometry 5.8 proof — open
13 Geometry 5.8 proof — open
14 Algebra 5.9 proof — open
15 Number theory 6.0 proof — open
16 Geometry 6.1 proof — open
17 Algebra 6.1 proof — open
18 Number theory 6.1 proof — open
19 Geometry 6.1 proof — open
20 Number theory 6.2 proof — open
21 Geometry 6.2 proof — open
22 Combinatorics 6.3 proof — open
23 Number theory 6.3 proof — open
24 Geometry 6.3 proof — open
25 Number theory 6.4 proof — open
26 Algebra 6.4 proof — open
27 Algebra 6.4 proof — open
28 Algebra 6.4 proof — open
29 Algebra 6.4 proof — open
30 Geometry 6.4 proof — open
31 Algebra 6.4 proof — open
32 Algebra 6.4 proof — open
33 Geometry 6.4 proof — open
34 Algebra 6.5 proof — open
35 Geometry 6.5 proof — open
36 Number theory 6.5 proof — open
37 Combinatorics 6.5 proof — open
38 Algebra 6.5 proof — open
39 Number theory 6.5 proof — open
40 Geometry 6.5 proof — open
41 Algebra 6.6 proof — open
42 Geometry 6.6 proof — open
43 Geometry 6.6 proof — open
44 Algebra 6.7 proof — open
45 Number theory 6.7 proof — open
46 Algebra 6.7 proof — open
47 Combinatorics 6.7 proof — open
48 Combinatorics 6.8 proof — open
49 Combinatorics 6.8 proof — open
50 Geometry 6.8 proof — open
51 Algebra 6.8 proof — open
52 Combinatorics 6.9 proof — open
53 Number theory 6.9 proof — open
54 Number theory 6.9 proof — open
55 Geometry 6.9 proof — open
56 Geometry 7.0 proof — open
57 Geometry 7.0 proof — open
58 Geometry 7.1 proof — open
59 Algebra 7.2 proof — open
60 Number theory 7.2 proof — open
61 Combinatorics 7.2 proof — open
62 Combinatorics 7.2 proof — open
63 Geometry 7.3 proof — open
64 Geometry 7.4 proof — open
65 Algebra 7.4 proof — open
66 Algebra 7.5 proof — open
67 Combinatorics 7.5 proof — open
68 Geometry 7.5 proof — open
69 Number theory 7.6 proof — open
70 Combinatorics 7.6 proof — open
71 Number theory 7.6 proof — open
72 Combinatorics 7.6 proof — open
73 Combinatorics 7.6 proof — open
74 Combinatorics 7.6 proof — open
75 Number theory 7.6 proof — open
76 Combinatorics 7.6 proof — open
77 Combinatorics 7.6 proof — open
78 Combinatorics 7.7 proof — open
79 Combinatorics 7.8 proof — open
80 Combinatorics 7.8 proof — open
81 Combinatorics 7.8 proof — open
82 Combinatorics 7.8 proof — open
83 Combinatorics 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.