Maths Olympiad Prep

Library /China Mathematical Competition

China Mathematical Competition

136 problems here, rated 3.5 to 7.5 on our scale (AMC 10/12 to National Olympiad, round 2). 86 of them ask for a proof.

Algebra 74Combinatorics 13Geometry 47Number theory 2
#TopicDiffTypeYear
1 Geometry 3.5 answer — open
2 Geometry 3.5 answer — open
3 Geometry 3.6 answer — open
4 Geometry 3.6 answer — open
5 Geometry 3.6 answer — open
6 Algebra 3.7 answer — open
7 Algebra 3.8 answer — open
8 Algebra 3.8 answer — open
9 Algebra 3.8 answer — open
10 Algebra 3.8 answer — open
11 Algebra 3.8 answer — open
12 Algebra 3.8 answer — open
13 Algebra 3.8 answer — open
14 Algebra 3.8 answer — open
15 Algebra 3.8 answer — open
16 Algebra 3.8 answer — open
17 Algebra 3.9 answer — open
18 Algebra 3.9 answer — open
19 Algebra 3.9 answer — open
20 Algebra 3.9 answer — open
21 Algebra 3.9 answer — open
22 Algebra 3.9 answer — open
23 Algebra 3.9 answer — open
24 Algebra 3.9 answer — open
25 Algebra 4.0 answer — open
26 Algebra 4.2 answer — open
27 Algebra 4.2 answer — open
28 Number theory 4.2 answer — open
29 Combinatorics 4.3 answer — open
30 Geometry 4.3 answer — open
31 Geometry 4.4 answer — open
32 Geometry 4.4 proof — open
33 Geometry 4.4 proof — open
34 Algebra 4.4 proof — open
35 Algebra 4.5 proof — open
36 Algebra 4.5 answer — open
37 Geometry 4.5 proof — open
38 Algebra 4.5 proof — open
39 Algebra 4.5 proof — open
40 Algebra 4.5 answer — open
41 Algebra 4.5 answer — open
42 Geometry 4.6 answer — open
43 Combinatorics 4.6 proof — open
44 Geometry 4.6 answer — open
45 Combinatorics 4.6 answer — open
46 Combinatorics 4.6 answer — open
47 Number theory 4.6 answer — open
48 Algebra 4.7 proof — open
49 Geometry 4.7 proof — open
50 Algebra 4.7 proof — open
51 Geometry 4.7 proof — open
52 Algebra 4.7 proof — open
53 Geometry 4.7 answer — open
54 Geometry 4.8 proof — open
55 Algebra 4.8 answer — open
56 Geometry 4.8 answer — open
57 Algebra 4.8 proof — open
58 Geometry 4.8 proof — open
59 Algebra 4.8 proof — open
60 Geometry 4.8 proof — open
61 Algebra 4.8 proof — open
62 Algebra 4.8 proof — open
63 Algebra 4.8 proof — open
64 Algebra 4.8 proof — open
65 Geometry 4.8 proof — open
66 Geometry 4.8 proof — open
67 Geometry 4.8 answer — open
68 Algebra 4.9 proof — open
69 Algebra 4.9 proof — open
70 Algebra 4.9 proof — open
71 Algebra 4.9 answer — open
72 Algebra 4.9 proof — open
73 Algebra 4.9 proof — open
74 Algebra 4.9 proof — open
75 Algebra 4.9 proof — open
76 Algebra 4.9 proof — open
77 Algebra 4.9 answer — open
78 Algebra 4.9 proof — open
79 Combinatorics 4.9 answer — open
80 Combinatorics 4.9 proof — open
81 Combinatorics 5.0 proof — open
82 Geometry 5.1 proof — open
83 Geometry 5.1 answer — open
84 Geometry 5.1 proof — open
85 Geometry 5.2 proof — open
86 Algebra 5.2 proof — open
87 Combinatorics 5.2 answer — open
88 Algebra 5.2 proof — open
89 Geometry 5.2 proof — open
90 Algebra 5.3 proof — open
91 Algebra 5.3 proof — open
92 Algebra 5.3 proof — open
93 Geometry 5.3 proof — open
94 Geometry 5.3 proof — open
95 Algebra 5.4 proof — open
96 Algebra 5.4 proof — open
97 Geometry 5.4 proof — open
98 Combinatorics 5.4 proof — open
99 Algebra 5.5 proof — open
100 Geometry 5.5 proof — open
101 Algebra 5.6 proof — open
102 Geometry 5.6 proof — open
103 Geometry 5.6 proof — open
104 Algebra 5.6 proof — open
105 Algebra 5.6 proof — open
106 Algebra 5.6 proof — open
107 Combinatorics 5.7 proof — open
108 Geometry 5.7 proof — open
109 Geometry 5.7 proof — open
110 Geometry 5.8 proof — open
111 Algebra 5.8 proof — open
112 Combinatorics 5.8 answer — open
113 Algebra 5.9 proof — open
114 Algebra 5.9 proof — open
115 Geometry 5.9 proof — open
116 Geometry 5.9 proof — open
117 Combinatorics 6.0 proof — open
118 Geometry 6.0 answer — open
119 Geometry 6.0 proof — open
120 Geometry 6.2 proof — open
121 Algebra 6.2 proof — open
122 Algebra 6.3 proof — open
123 Algebra 6.3 proof — open
124 Geometry 6.4 proof — open
125 Algebra 6.4 proof — open
126 Geometry 6.5 proof — open
127 Geometry 6.7 proof — open
128 Algebra 6.7 proof — open
129 Combinatorics 6.8 proof — open
130 Geometry 6.8 proof — open
131 Algebra 6.8 proof — open
132 Geometry 6.8 proof — open
133 Algebra 7.0 proof — open
134 Geometry 7.2 proof — open
135 Algebra 7.2 proof — open
136 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.