Maths Olympiad Prep

Library /Hong Kong competition problems

Hong Kong competition problems

48 problems here, rated 4.4 to 7.3 on our scale (AIME to National Olympiad, round 2). 48 of them ask for a proof. Years covered: 2008–2021.

Algebra 13Combinatorics 9Geometry 14Number theory 12
#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 Geometry 4.7 proof — open
8 Algebra 4.7 proof — open
9 Number theory 4.8 proof — open
10 Algebra 4.8 proof 2021 open
11 Geometry 4.8 proof 2021 open
12 Algebra 4.9 proof 2012 open
13 Number theory 5.0 proof — open
14 Number theory 5.0 proof 2016 open
15 Combinatorics 5.0 proof 2016 open
16 Geometry 5.2 proof 2012 open
17 Algebra 5.2 proof — open
18 Algebra 5.3 proof 2008 open
19 Number theory 5.3 proof 2016 open
20 Geometry 5.3 proof 2016 open
21 Number theory 5.4 proof — open
22 Geometry 5.4 proof 2021 open
23 Geometry 5.5 proof 2016 open
24 Combinatorics 5.6 proof — open
25 Algebra 5.7 proof — open
26 Number theory 5.8 proof 2012 open
27 Algebra 5.8 proof 2016 open
28 Algebra 5.8 proof 2008 open
29 Geometry 5.8 proof 2021 open
30 Combinatorics 5.9 proof 2016 open
31 Number theory 5.9 proof 2016 open
32 Geometry 6.0 proof 2016 open
33 Number theory 6.0 proof 2012 open
34 Number theory 6.1 proof 2021 open
35 Algebra 6.3 proof 2021 open
36 Combinatorics 6.3 proof 2008 open
37 Algebra 6.5 proof 2016 open
38 Number theory 6.5 proof 2008 open
39 Number theory 6.5 proof 2016 open
40 Combinatorics 6.5 proof 2021 open
41 Geometry 6.6 proof 2016 open
42 Geometry 6.7 proof 2012 open
43 Combinatorics 6.7 proof — open
44 Combinatorics 6.8 proof — open
45 Algebra 7.1 proof 2016 open
46 Algebra 7.2 proof — open
47 Combinatorics 7.2 proof 2021 open
48 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.