Maths Olympiad Prep

Library /China Mathematical Competition

China Mathematical Competition

119 problems here, rated 3.5 to 7.5 on our scale (AMC 10/12 to National Olympiad, round 2). 64 of them ask for a proof.

Algebra 66Combinatorics 12Geometry 39Number theory 2
#TopicDiffTypeYear
1 Geometry 3.5 answer — open
2 Geometry 3.5 answer — open
3 Geometry 3.5 answer — open
4 Geometry 3.5 answer — open
5 Geometry 3.5 answer — open
6 Geometry 3.6 answer — open
7 Geometry 3.6 answer — open
8 Geometry 3.6 answer — open
9 Geometry 3.6 answer — open
10 Geometry 3.7 answer — open
11 Algebra 3.7 answer — open
12 Geometry 3.7 answer — open
13 Algebra 3.7 answer — open
14 Algebra 3.8 answer — open
15 Algebra 3.8 answer — open
16 Algebra 3.8 answer — open
17 Algebra 3.8 answer — open
18 Algebra 3.8 answer — open
19 Algebra 3.8 answer — open
20 Algebra 3.8 answer — open
21 Algebra 3.8 answer — open
22 Algebra 3.8 answer — open
23 Algebra 3.8 answer — open
24 Algebra 3.8 answer — open
25 Algebra 3.8 answer — open
26 Algebra 3.9 answer — open
27 Algebra 3.9 answer — open
28 Algebra 3.9 answer — open
29 Algebra 3.9 answer — open
30 Algebra 3.9 answer — open
31 Algebra 4.0 answer — open
32 Algebra 4.0 answer — open
33 Algebra 4.2 answer — open
34 Combinatorics 4.2 answer — open
35 Algebra 4.2 answer — open
36 Number theory 4.2 answer — open
37 Combinatorics 4.3 answer — open
38 Geometry 4.3 answer — open
39 Geometry 4.4 answer — open
40 Geometry 4.4 proof — open
41 Geometry 4.4 proof — open
42 Algebra 4.4 proof — open
43 Algebra 4.5 proof — open
44 Algebra 4.5 answer — open
45 Geometry 4.5 proof — open
46 Algebra 4.5 proof — open
47 Algebra 4.5 proof — open
48 Algebra 4.5 answer — open
49 Algebra 4.5 answer — open
50 Geometry 4.6 answer — open
51 Combinatorics 4.6 proof — open
52 Geometry 4.6 answer — open
53 Combinatorics 4.6 answer — open
54 Combinatorics 4.6 answer — open
55 Number theory 4.6 answer — open
56 Algebra 4.7 proof — open
57 Geometry 4.7 proof — open
58 Algebra 4.7 proof — open
59 Geometry 4.7 proof — open
60 Algebra 4.7 proof — open
61 Geometry 4.7 answer — open
62 Geometry 4.8 proof — open
63 Algebra 4.8 answer — open
64 Algebra 4.8 proof — open
65 Geometry 4.8 proof — open
66 Algebra 4.8 proof — open
67 Algebra 4.8 proof — open
68 Algebra 4.8 proof — open
69 Algebra 4.8 proof — open
70 Algebra 4.8 proof — open
71 Geometry 4.8 proof — open
72 Geometry 4.8 answer — open
73 Algebra 4.9 proof — open
74 Algebra 4.9 answer — open
75 Algebra 4.9 proof — open
76 Algebra 4.9 proof — open
77 Algebra 4.9 proof — open
78 Combinatorics 4.9 answer — open
79 Combinatorics 4.9 proof — open
80 Combinatorics 5.0 proof — open
81 Geometry 5.1 proof — open
82 Geometry 5.1 answer — open
83 Algebra 5.2 proof — open
84 Combinatorics 5.2 answer — open
85 Algebra 5.2 proof — open
86 Algebra 5.3 proof — open
87 Algebra 5.3 proof — open
88 Algebra 5.3 proof — open
89 Geometry 5.3 proof — open
90 Geometry 5.3 proof — open
91 Algebra 5.4 proof — open
92 Algebra 5.4 proof — open
93 Geometry 5.4 proof — open
94 Algebra 5.5 proof — open
95 Geometry 5.5 proof — open
96 Geometry 5.6 proof — open
97 Geometry 5.6 proof — open
98 Algebra 5.6 proof — open
99 Algebra 5.6 proof — open
100 Algebra 5.6 proof — open
101 Combinatorics 5.7 proof — open
102 Geometry 5.7 proof — open
103 Algebra 5.8 proof — open
104 Combinatorics 5.8 answer — open
105 Algebra 5.9 proof — open
106 Combinatorics 6.0 proof — open
107 Geometry 6.0 proof — open
108 Geometry 6.2 proof — open
109 Algebra 6.2 proof — open
110 Algebra 6.3 proof — open
111 Algebra 6.3 proof — open
112 Geometry 6.4 proof — open
113 Algebra 6.4 proof — open
114 Algebra 6.8 proof — open
115 Geometry 6.8 proof — open
116 Algebra 7.0 proof — open
117 Geometry 7.2 proof — open
118 Algebra 7.2 proof — open
119 Algebra 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.