Maths Olympiad Prep

Library /China Hong Kong Mathematical Olympiad

China Hong Kong Mathematical Olympiad

89 problems here, rated 4.5 to 7.8 on our scale (AIME to National Olympiad, round 2). 89 of them ask for a proof.

Algebra 29Combinatorics 17Geometry 28Number theory 15
#TopicDiffTypeYear
1 Geometry 4.5 proof — open
2 Geometry 4.5 proof — open
3 Geometry 4.5 proof — open
4 Geometry 4.5 proof — open
5 Algebra 4.6 proof — open
6 Combinatorics 4.6 proof — open
7 Algebra 4.6 proof — open
8 Number theory 4.8 proof — open
9 Geometry 4.8 proof — open
10 Algebra 4.9 proof — open
11 Algebra 4.9 proof — open
12 Algebra 5.0 proof — open
13 Algebra 5.0 proof — open
14 Geometry 5.0 proof — open
15 Geometry 5.1 proof — open
16 Geometry 5.2 proof — open
17 Number theory 5.2 proof — open
18 Number theory 5.2 proof — open
19 Number theory 5.2 proof — open
20 Algebra 5.3 proof — open
21 Algebra 5.3 proof — open
22 Algebra 5.3 proof — open
23 Number theory 5.4 proof — open
24 Algebra 5.4 proof — open
25 Geometry 5.4 proof — open
26 Geometry 5.4 proof — open
27 Number theory 5.5 proof — open
28 Combinatorics 5.5 proof — open
29 Number theory 5.5 proof — open
30 Algebra 5.6 proof — open
31 Algebra 5.6 proof — open
32 Number theory 5.6 proof — open
33 Geometry 5.6 proof — open
34 Algebra 5.7 proof — open
35 Number theory 5.7 proof — open
36 Algebra 5.7 proof — open
37 Combinatorics 5.7 proof — open
38 Algebra 5.7 proof — open
39 Combinatorics 5.8 proof — open
40 Algebra 5.9 proof — open
41 Geometry 5.9 proof — open
42 Algebra 5.9 proof — open
43 Algebra 5.9 proof — open
44 Geometry 6.0 proof — open
45 Algebra 6.0 proof — open
46 Geometry 6.0 proof — open
47 Algebra 6.0 proof — open
48 Geometry 6.1 proof — open
49 Algebra 6.1 proof — open
50 Number theory 6.2 proof — open
51 Geometry 6.2 proof — open
52 Algebra 6.2 proof — open
53 Number theory 6.2 proof — open
54 Combinatorics 6.2 proof — open
55 Geometry 6.3 proof — open
56 Combinatorics 6.4 proof — open
57 Geometry 6.5 proof — open
58 Geometry 6.5 proof — open
59 Number theory 6.5 proof — open
60 Algebra 6.5 proof — open
61 Combinatorics 6.5 proof — open
62 Algebra 6.6 proof — open
63 Algebra 6.6 proof — open
64 Number theory 6.6 proof — open
65 Geometry 6.6 proof — open
66 Combinatorics 6.6 proof — open
67 Geometry 6.7 proof — open
68 Combinatorics 6.7 proof — open
69 Geometry 6.7 proof — open
70 Geometry 6.7 proof — open
71 Geometry 6.7 proof — open
72 Algebra 6.7 proof — open
73 Algebra 6.7 proof — open
74 Geometry 6.8 proof — open
75 Combinatorics 6.8 proof — open
76 Geometry 6.8 proof — open
77 Algebra 6.8 proof — open
78 Combinatorics 6.8 proof — open
79 Geometry 6.9 proof — open
80 Geometry 7.0 proof — open
81 Combinatorics 7.0 proof — open
82 Combinatorics 7.1 proof — open
83 Number theory 7.1 proof — open
84 Number theory 7.1 proof — open
85 Combinatorics 7.2 proof — open
86 Combinatorics 7.3 proof — open
87 Algebra 7.4 proof — open
88 Combinatorics 7.7 proof — open
89 Combinatorics 7.8 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.