Maths Olympiad Prep

Library /China Team Selection Test

China Team Selection Test

106 problems here, rated 6.5 to 9.1 on our scale (National Olympiad to IMO level). 12 of them ask for a proof.

Algebra 41Combinatorics 17Geometry 19Number theory 29
#TopicDiffTypeYear
1 Geometry 6.5 answer — open
2 Geometry 6.8 answer — open
3 Algebra 6.9 answer — open
4 Algebra 6.9 answer — open
5 Algebra 7.0 answer — open
6 Number theory 7.2 answer — open
7 Geometry 7.2 answer — open
8 Algebra 7.2 answer — open
9 Number theory 7.2 answer — open
10 Algebra 7.2 answer — open
11 Combinatorics 7.3 answer — open
12 Combinatorics 7.3 answer — open
13 Number theory 7.4 answer — open
14 Geometry 7.4 answer — open
15 Algebra 7.4 answer — open
16 Geometry 7.4 answer — open
17 Combinatorics 7.5 answer — open
18 Algebra 7.5 answer — open
19 Geometry 7.5 answer — open
20 Geometry 7.5 answer — open
21 Combinatorics 7.5 answer — open
22 Number theory 7.6 answer — open
23 Geometry 7.6 answer — open
24 Geometry 7.6 answer — open
25 Algebra 7.7 answer — open
26 Geometry 7.7 answer — open
27 Number theory 7.7 answer — open
28 Algebra 7.7 answer — open
29 Algebra 7.7 answer — open
30 Combinatorics 7.7 answer — open
31 Number theory 7.7 answer — open
32 Algebra 7.7 answer — open
33 Combinatorics 7.7 proof 2022 open
34 Geometry 7.7 answer — open
35 Number theory 7.7 answer — open
36 Geometry 7.8 answer — open
37 Algebra 7.8 answer — open
38 Algebra 7.8 answer — open
39 Algebra 7.8 answer — open
40 Number theory 7.8 answer — open
41 Combinatorics 7.8 answer — open
42 Algebra 7.9 answer — open
43 Algebra 7.9 answer — open
44 Algebra 7.9 answer — open
45 Combinatorics 7.9 answer — open
46 Combinatorics 7.9 answer — open
47 Algebra 7.9 answer — open
48 Number theory 7.9 answer — open
49 Algebra 7.9 answer — open
50 Geometry 8.0 answer — open
51 Geometry 8.0 answer — open
52 Number theory 8.0 answer — open
53 Algebra 8.0 answer — open
54 Number theory 8.0 answer — open
55 Number theory 8.0 answer — open
56 Number theory 8.0 answer — open
57 Number theory 8.0 answer — open
58 Number theory 8.0 answer — open
59 Number theory 8.1 proof — open
60 Combinatorics 8.1 answer — open
61 Algebra 8.1 answer — open
62 Geometry 8.1 answer — open
63 Algebra 8.1 answer — open
64 Combinatorics 8.2 answer — open
65 Algebra 8.2 answer — open
66 Algebra 8.2 answer — open
67 Algebra 8.2 answer — open
68 Algebra 8.2 answer — open
69 Algebra 8.2 answer — open
70 Number theory 8.2 answer — open
71 Combinatorics 8.2 answer — open
72 Number theory 8.2 answer — open
73 Algebra 8.2 answer — open
74 Geometry 8.2 answer — open
75 Geometry 8.2 answer — open
76 Algebra 8.3 answer — open
77 Number theory 8.3 answer — open
78 Algebra 8.3 answer — open
79 Number theory 8.3 answer — open
80 Algebra 8.4 answer — open
81 Number theory 8.4 proof — open
82 Algebra 8.4 answer — open
83 Algebra 8.4 answer — open
84 Algebra 8.4 answer — open
85 Number theory 8.4 proof 2022 open
86 Combinatorics 8.4 proof 2022 open
87 Number theory 8.5 answer — open
88 Algebra 8.5 answer — open
89 Algebra 8.5 answer — open
90 Combinatorics 8.5 answer — open
91 Algebra 8.5 answer — open
92 Geometry 8.6 proof — open
93 Combinatorics 8.6 answer — open
94 Number theory 8.6 answer — open
95 Number theory 8.6 answer — open
96 Combinatorics 8.7 answer — open
97 Number theory 8.7 proof 2022 open
98 Algebra 8.7 answer — open
99 Number theory 8.8 answer — open
100 Geometry 8.8 proof 2022 open
101 Number theory 8.9 proof — open
102 Number theory 9.0 answer — open
103 Combinatorics 9.0 proof — open
104 Algebra 9.1 proof — open
105 Algebra 9.1 answer — open
106 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.