Maths Olympiad Prep

Library /Hong Kong competition problems

Hong Kong competition problems

42 problems here, rated 4.4 to 7.3 on our scale (AIME to National Olympiad, round 2). 42 of them ask for a proof. Years covered: 2008–2021.

Algebra 12Combinatorics 7Geometry 12Number theory 11
#TopicDiffTypeYear
1 Number theory 4.4 proof 2008 open
2 Geometry 4.4 proof — open
3 Geometry 4.5 proof 2008 open
4 Geometry 4.6 proof 2008 open
5 Geometry 4.6 proof — open
6 Algebra 4.6 proof 2021 open
7 Algebra 4.7 proof — open
8 Number theory 4.8 proof — open
9 Algebra 4.8 proof 2021 open
10 Geometry 4.8 proof 2021 open
11 Algebra 4.9 proof 2012 open
12 Number theory 5.0 proof 2016 open
13 Combinatorics 5.0 proof 2016 open
14 Geometry 5.2 proof 2012 open
15 Algebra 5.2 proof — open
16 Algebra 5.3 proof 2008 open
17 Number theory 5.3 proof 2016 open
18 Number theory 5.4 proof — open
19 Geometry 5.4 proof 2021 open
20 Geometry 5.5 proof 2016 open
21 Algebra 5.7 proof — open
22 Number theory 5.8 proof 2012 open
23 Algebra 5.8 proof 2016 open
24 Algebra 5.8 proof 2008 open
25 Geometry 5.8 proof 2021 open
26 Number theory 5.9 proof 2016 open
27 Geometry 6.0 proof 2016 open
28 Number theory 6.0 proof 2012 open
29 Number theory 6.1 proof 2021 open
30 Algebra 6.3 proof 2021 open
31 Combinatorics 6.3 proof 2008 open
32 Algebra 6.5 proof 2016 open
33 Number theory 6.5 proof 2008 open
34 Number theory 6.5 proof 2016 open
35 Combinatorics 6.5 proof 2021 open
36 Geometry 6.6 proof 2016 open
37 Geometry 6.7 proof 2012 open
38 Combinatorics 6.7 proof — open
39 Combinatorics 6.8 proof — open
40 Algebra 7.2 proof — open
41 Combinatorics 7.2 proof 2021 open
42 Combinatorics 7.3 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.