Maths Olympiad Prep

Library /China National Team Selection Test

China National Team Selection Test

28 problems here, rated 7.6 to 9.1 on our scale (National olympiad, round 2 to IMO level). 28 of them ask for a proof.

Algebra 7Combinatorics 4Geometry 9Number theory 8
#TopicDiffTypeYear
1 Geometry 7.6 proof — open
2 Combinatorics 7.8 proof — open
3 Number theory 7.9 proof — open
4 Geometry 8.0 proof — open
5 Number theory 8.0 proof — open
6 Number theory 8.1 proof — open
7 Number theory 8.2 proof — open
8 Algebra 8.2 proof — open
9 Number theory 8.2 proof — open
10 Geometry 8.2 proof — open
11 Number theory 8.3 proof — open
12 Geometry 8.3 proof — open
13 Geometry 8.3 proof — open
14 Geometry 8.3 proof — open
15 Number theory 8.4 proof — open
16 Number theory 8.4 proof — open
17 Algebra 8.5 proof — open
18 Algebra 8.5 proof — open
19 Algebra 8.5 proof — open
20 Combinatorics 8.5 proof — open
21 Geometry 8.5 proof — open
22 Algebra 8.8 proof — open
23 Geometry 8.9 proof — open
24 Algebra 8.9 proof — open
25 Algebra 8.9 proof — open
26 Geometry 8.9 proof — open
27 Combinatorics 9.0 proof — open
28 Combinatorics 9.1 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.