Maths Olympiad Prep

Library /China Mathematical Competition

China Mathematical Competition

100 problems here, rated 3.6 to 7.5 on our scale (AMC 10/12 to National olympiad, round 2). 64 of them ask for a proof.

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