Maths Olympiad Prep

Library /China Team Selection Test

China Team Selection Test

92 problems here, rated 6.5 to 9.1 on our scale (National Olympiad to IMO level). 11 of them ask for a proof.

Algebra 33Combinatorics 16Geometry 16Number theory 27
#TopicDiffTypeYear
1 Geometry 6.5 answer — open
2 Geometry 6.8 answer — open
3 Algebra 6.9 answer — open
4 Number theory 7.2 answer — open
5 Geometry 7.2 answer — open
6 Algebra 7.2 answer — open
7 Number theory 7.2 answer — open
8 Algebra 7.2 answer — open
9 Combinatorics 7.3 answer — open
10 Combinatorics 7.3 answer — open
11 Number theory 7.4 answer — open
12 Geometry 7.4 answer — open
13 Algebra 7.4 answer — open
14 Geometry 7.4 answer — open
15 Combinatorics 7.5 answer — open
16 Algebra 7.5 answer — open
17 Geometry 7.5 answer — open
18 Geometry 7.5 answer — open
19 Combinatorics 7.5 answer — open
20 Number theory 7.6 answer — open
21 Geometry 7.6 answer — open
22 Algebra 7.7 answer — open
23 Number theory 7.7 answer — open
24 Algebra 7.7 answer — open
25 Algebra 7.7 answer — open
26 Combinatorics 7.7 answer — open
27 Number theory 7.7 answer — open
28 Algebra 7.7 answer — open
29 Combinatorics 7.7 proof 2022 open
30 Geometry 7.7 answer — open
31 Number theory 7.7 answer — open
32 Geometry 7.8 answer — open
33 Algebra 7.8 answer — open
34 Algebra 7.8 answer — open
35 Number theory 7.8 answer — open
36 Combinatorics 7.8 answer — open
37 Algebra 7.9 answer — open
38 Algebra 7.9 answer — open
39 Algebra 7.9 answer — open
40 Combinatorics 7.9 answer — open
41 Number theory 7.9 answer — open
42 Algebra 7.9 answer — open
43 Geometry 8.0 answer — open
44 Number theory 8.0 answer — open
45 Number theory 8.0 answer — open
46 Number theory 8.0 answer — open
47 Number theory 8.0 answer — open
48 Number theory 8.0 answer — open
49 Number theory 8.0 answer — open
50 Combinatorics 8.1 answer — open
51 Algebra 8.1 answer — open
52 Geometry 8.1 answer — open
53 Algebra 8.1 answer — open
54 Combinatorics 8.2 answer — open
55 Algebra 8.2 answer — open
56 Algebra 8.2 answer — open
57 Algebra 8.2 answer — open
58 Algebra 8.2 answer — open
59 Number theory 8.2 answer — open
60 Combinatorics 8.2 answer — open
61 Geometry 8.2 answer — open
62 Geometry 8.2 answer — open
63 Algebra 8.3 answer — open
64 Number theory 8.3 answer — open
65 Algebra 8.3 answer — open
66 Number theory 8.3 answer — open
67 Algebra 8.4 answer — open
68 Number theory 8.4 proof — open
69 Algebra 8.4 answer — open
70 Algebra 8.4 answer — open
71 Number theory 8.4 proof 2022 open
72 Combinatorics 8.4 proof 2022 open
73 Number theory 8.5 answer — open
74 Algebra 8.5 answer — open
75 Algebra 8.5 answer — open
76 Combinatorics 8.5 answer — open
77 Algebra 8.5 answer — open
78 Geometry 8.6 proof — open
79 Combinatorics 8.6 answer — open
80 Number theory 8.6 answer — open
81 Number theory 8.6 answer — open
82 Combinatorics 8.7 answer — open
83 Number theory 8.7 proof 2022 open
84 Algebra 8.7 answer — open
85 Number theory 8.8 answer — open
86 Geometry 8.8 proof 2022 open
87 Number theory 8.9 proof — open
88 Number theory 9.0 answer — open
89 Combinatorics 9.0 proof — open
90 Algebra 9.1 proof — open
91 Algebra 9.1 answer — open
92 Algebra 9.1 proof 2022 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.