Maths Olympiad Prep

Library /China Hong Kong Mathematical Olympiad

China Hong Kong Mathematical Olympiad

94 problems here, rated 4.5 to 7.8 on our scale (AIME to National Olympiad, round 2). 94 of them ask for a proof.

Algebra 30Combinatorics 19Geometry 29Number theory 16
#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 Number theory 6.0 proof — open
45 Geometry 6.0 proof — open
46 Algebra 6.0 proof — open
47 Algebra 6.0 proof — open
48 Geometry 6.0 proof — open
49 Algebra 6.0 proof — open
50 Geometry 6.1 proof — open
51 Algebra 6.1 proof — open
52 Number theory 6.2 proof — open
53 Geometry 6.2 proof — open
54 Algebra 6.2 proof — open
55 Number theory 6.2 proof — open
56 Combinatorics 6.2 proof — open
57 Geometry 6.3 proof — open
58 Combinatorics 6.4 proof — open
59 Geometry 6.5 proof — open
60 Geometry 6.5 proof — open
61 Number theory 6.5 proof — open
62 Algebra 6.5 proof — open
63 Combinatorics 6.5 proof — open
64 Combinatorics 6.6 proof — open
65 Algebra 6.6 proof — open
66 Algebra 6.6 proof — open
67 Number theory 6.6 proof — open
68 Geometry 6.6 proof — open
69 Combinatorics 6.6 proof — open
70 Geometry 6.7 proof — open
71 Combinatorics 6.7 proof — open
72 Geometry 6.7 proof — open
73 Geometry 6.7 proof — open
74 Geometry 6.7 proof — open
75 Algebra 6.7 proof — open
76 Algebra 6.7 proof — open
77 Geometry 6.8 proof — open
78 Geometry 6.8 proof — open
79 Combinatorics 6.8 proof — open
80 Geometry 6.8 proof — open
81 Algebra 6.8 proof — open
82 Combinatorics 6.8 proof — open
83 Geometry 6.9 proof — open
84 Geometry 7.0 proof — open
85 Combinatorics 7.0 proof — open
86 Combinatorics 7.1 proof — open
87 Number theory 7.1 proof — open
88 Number theory 7.1 proof — open
89 Combinatorics 7.2 proof — open
90 Combinatorics 7.2 proof — open
91 Combinatorics 7.3 proof — open
92 Algebra 7.4 proof — open
93 Combinatorics 7.7 proof — open
94 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.