Maths Olympiad Prep

Library /Japan Mathematical Olympiad

Japan Mathematical Olympiad

63 problems here, rated 4.9 to 7.9 on our scale (AIME to National olympiad, round 2). 63 of them ask for a proof.

Algebra 17Combinatorics 20Geometry 13Number theory 13
#TopicDiffTypeYear
1 Number theory 4.9 proof — open
2 Number theory 5.2 proof — open
3 Algebra 5.7 proof — open
4 Geometry 5.8 proof — open
5 Geometry 5.8 proof — open
6 Algebra 5.9 proof — open
7 Algebra 6.1 proof — open
8 Algebra 6.1 proof — open
9 Number theory 6.1 proof — open
10 Geometry 6.1 proof — open
11 Combinatorics 6.3 proof — open
12 Number theory 6.3 proof — open
13 Number theory 6.4 proof — open
14 Algebra 6.4 proof — open
15 Algebra 6.4 proof — open
16 Algebra 6.4 proof — open
17 Algebra 6.4 proof — open
18 Algebra 6.4 proof — open
19 Algebra 6.4 proof — open
20 Geometry 6.4 proof — open
21 Algebra 6.5 proof — open
22 Geometry 6.5 proof — open
23 Number theory 6.5 proof — open
24 Combinatorics 6.5 proof — open
25 Number theory 6.5 proof — open
26 Geometry 6.6 proof — open
27 Algebra 6.7 proof — open
28 Number theory 6.7 proof — open
29 Algebra 6.7 proof — open
30 Combinatorics 6.8 proof — open
31 Algebra 6.8 proof — open
32 Combinatorics 6.9 proof — open
33 Number theory 6.9 proof — open
34 Geometry 6.9 proof — open
35 Geometry 7.0 proof — open
36 Geometry 7.0 proof — open
37 Combinatorics 7.1 proof — open
38 Geometry 7.1 proof — open
39 Algebra 7.2 proof — open
40 Number theory 7.2 proof — open
41 Combinatorics 7.2 proof — open
42 Combinatorics 7.2 proof — open
43 Geometry 7.3 proof — open
44 Geometry 7.4 proof — open
45 Algebra 7.4 proof — open
46 Algebra 7.5 proof — open
47 Combinatorics 7.5 proof — open
48 Geometry 7.5 proof — open
49 Number theory 7.6 proof — open
50 Combinatorics 7.6 proof — open
51 Number theory 7.6 proof — open
52 Combinatorics 7.6 proof — open
53 Combinatorics 7.6 proof — open
54 Combinatorics 7.6 proof — open
55 Number theory 7.6 proof — open
56 Combinatorics 7.6 proof — open
57 Combinatorics 7.6 proof — open
58 Combinatorics 7.7 proof — open
59 Combinatorics 7.8 proof — open
60 Combinatorics 7.8 proof — open
61 Combinatorics 7.8 proof — open
62 Combinatorics 7.8 proof — open
63 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.