Maths Olympiad Prep

Library /China Team Selection Test

China Team Selection Test

97 problems here, rated 6.5 to 9.1 on our scale (National olympiad to IMO level). 4 of them ask for a proof.

Algebra 40Combinatorics 16Geometry 17Number theory 24
#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 Geometry 7.7 answer — open
34 Number theory 7.7 answer — open
35 Geometry 7.8 answer — open
36 Algebra 7.8 answer — open
37 Algebra 7.8 answer — open
38 Algebra 7.8 answer — open
39 Number theory 7.8 answer — open
40 Combinatorics 7.8 answer — open
41 Algebra 7.9 answer — open
42 Algebra 7.9 answer — open
43 Algebra 7.9 answer — open
44 Combinatorics 7.9 answer — open
45 Combinatorics 7.9 answer — open
46 Algebra 7.9 answer — open
47 Number theory 7.9 answer — open
48 Algebra 7.9 answer — open
49 Geometry 8.0 answer — open
50 Geometry 8.0 answer — open
51 Number theory 8.0 answer — open
52 Algebra 8.0 answer — open
53 Number theory 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 8.1 proof — open
58 Combinatorics 8.1 answer — open
59 Algebra 8.1 answer — open
60 Algebra 8.1 answer — open
61 Geometry 8.1 answer — open
62 Algebra 8.1 answer — open
63 Combinatorics 8.2 answer — open
64 Algebra 8.2 answer — open
65 Geometry 8.2 answer — open
66 Algebra 8.2 answer — open
67 Algebra 8.2 answer — open
68 Algebra 8.2 answer — open
69 Combinatorics 8.2 answer — open
70 Algebra 8.2 answer — open
71 Geometry 8.2 answer — open
72 Algebra 8.3 answer — open
73 Number theory 8.3 answer — open
74 Algebra 8.3 answer — open
75 Number theory 8.3 answer — open
76 Number theory 8.3 answer — open
77 Algebra 8.4 answer — open
78 Number theory 8.4 proof — open
79 Algebra 8.4 answer — open
80 Algebra 8.4 answer — open
81 Algebra 8.4 answer — open
82 Number theory 8.5 answer — open
83 Algebra 8.5 answer — open
84 Combinatorics 8.5 answer — open
85 Algebra 8.5 answer — open
86 Combinatorics 8.6 answer — open
87 Number theory 8.6 answer — open
88 Combinatorics 8.7 answer — open
89 Combinatorics 8.7 answer — open
90 Algebra 8.7 answer — open
91 Algebra 8.7 answer — open
92 Number theory 8.8 answer — open
93 Number theory 8.8 answer — open
94 Number theory 8.8 answer — open
95 Combinatorics 9.0 proof — open
96 Algebra 9.1 proof — open
97 Algebra 9.1 answer — 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.