Maths Olympiad Prep

Library /NZMO Round One

NZMO Round One

39 problems here, rated 4.1 to 7.5 on our scale (AIME to National Olympiad, round 2). 36 of them ask for a proof.

Algebra 7Combinatorics 6Geometry 14Number theory 12
#TopicDiffTypeYear
1 Combinatorics 4.1 answer — open
2 Number theory 4.4 answer — open
3 Geometry 4.5 proof — open
4 Number theory 4.5 proof — open
5 Algebra 4.7 proof — open
6 Algebra 4.7 proof — open
7 Number theory 4.7 proof — open
8 Number theory 4.8 proof — open
9 Geometry 4.8 proof — open
10 Number theory 5.0 proof — open
11 Geometry 5.1 proof — open
12 Geometry 5.1 proof — open
13 Number theory 5.3 proof — open
14 Geometry 5.3 proof — open
15 Geometry 5.4 proof — open
16 Algebra 5.5 proof — open
17 Geometry 5.5 proof — open
18 Number theory 5.5 proof — open
19 Number theory 5.6 proof — open
20 Algebra 5.6 answer — open
21 Geometry 5.7 proof — open
22 Geometry 5.7 proof — open
23 Geometry 5.8 proof — open
24 Number theory 6.0 proof — open
25 Number theory 6.0 proof — open
26 Algebra 6.1 proof — open
27 Combinatorics 6.2 proof — open
28 Geometry 6.2 proof — open
29 Algebra 6.3 proof — open
30 Algebra 6.3 proof — open
31 Combinatorics 6.3 proof — open
32 Combinatorics 6.4 proof — open
33 Geometry 6.6 proof — open
34 Geometry 6.7 proof — open
35 Combinatorics 7.0 proof — open
36 Combinatorics 7.1 proof — open
37 Geometry 7.2 proof — open
38 Number theory 7.4 proof — open
39 Number theory 7.5 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.