Maths Olympiad Prep

Library /Progetto Olimpiadi di Matematica - GARA di SECONDO LIVELLO

Progetto Olimpiadi di Matematica - GARA di SECONDO LIVELLO

64 problems here, rated 3.8 to 7.7 on our scale (AMC 10/12 to National Olympiad, round 2). 24 of them ask for a proof. Years covered: 2005–2007.

Algebra 15Combinatorics 11Geometry 21Number theory 17
#TopicDiffTypeYear
1 Geometry 3.5 answer 2005 open
2 Geometry 3.5 answer open
3 Geometry 3.5 answer 2007 open
4 Algebra 3.8 answer open
5 Algebra 3.8 answer open
6 Algebra 3.9 answer 2005 open
7 Algebra 3.9 answer 2007 open
8 Combinatorics 4.0 answer open
9 Number theory 4.0 answer open
10 Algebra 4.1 answer open
11 Algebra 4.3 answer 2006 open
12 Geometry 4.3 answer open
13 Algebra 4.3 answer 2005 open
14 Number theory 4.3 answer 2007 open
15 Combinatorics 4.4 answer open
16 Algebra 4.5 answer open
17 Combinatorics 4.5 answer open
18 Combinatorics 4.5 answer open
19 Geometry 4.6 proof open
20 Geometry 4.6 answer open
21 Geometry 4.6 proof open
22 Algebra 4.6 answer open
23 Geometry 4.7 proof 2006 open
24 Number theory 4.7 answer open
25 Number theory 4.7 answer 2005 open
26 Number theory 4.7 answer open
27 Combinatorics 4.8 answer open
28 Number theory 4.8 answer 2005 open
29 Geometry 4.9 proof 2005 open
30 Number theory 4.9 proof open
31 Number theory 4.9 answer 2006 open
32 Combinatorics 5.0 answer open
33 Number theory 5.0 proof open
34 Combinatorics 5.2 proof 2005 open
35 Algebra 5.2 proof 2006 open
36 Algebra 5.3 proof open
37 Geometry 5.3 answer open
38 Geometry 5.4 answer 2005 open
39 Geometry 5.4 proof open
40 Algebra 5.5 answer open
41 Algebra 5.5 answer 2006 open
42 Number theory 5.6 proof open
43 Geometry 5.6 answer 2005 open
44 Number theory 5.6 answer open
45 Algebra 5.7 answer open
46 Number theory 5.7 proof 2007 open
47 Geometry 5.7 proof 2006 open
48 Geometry 5.7 answer open
49 Geometry 5.8 answer 2005 open
50 Geometry 5.9 answer open
51 Number theory 6.0 proof 2005 open
52 Number theory 6.0 proof open
53 Combinatorics 6.0 answer open
54 Geometry 6.0 answer open
55 Geometry 6.1 proof 2006 open
56 Number theory 6.1 proof 2006 open
57 Geometry 6.1 answer 2006 open
58 Geometry 6.2 proof open
59 Number theory 6.2 proof open
60 Algebra 6.6 proof open
61 Combinatorics 6.8 proof 2006 open
62 Number theory 7.1 proof open
63 Combinatorics 7.5 proof 2007 open
64 Combinatorics 7.7 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.