Are the problems on Brilliant Olympiad level. Does anyone have any recommendations for books and resources free or cheap that might be of great use i.e (effective resources) that I could use. Because I solve most problems here with logic and so I want to know the material to better equip myself for situations where I don't know what the symbols are or for situations where I can choose the right topic learnt to solve the problem. XD
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Comments
Anything by Titu Andreescu or zuming feng is definitely olympiad level. Regarding the Brilliant problems: They are not IMO level but the level 5 ones i have seen are definitely good enough for some earlier stages in national olympiads.
Surprised nobody recommended Art of Problem Solving (http://www.artofproblemsolving.com). A lot of the stuff is pre-olympiad, but the intermediate books do go into olympiad, and the (free!) forums on the website house one of the largest online math communities, including many (most?) olympiad students. They have a wiki and a database of many mathematics (and some physics, etc) competitions around the world, including numerous national olympiads and TSTs. In addition, they also offer online classes, some of which (WOOT, Olympiad Geo, Intermediate NT/Combo) are at (or include) olympiad-level material.
Johnson, you would have to clarify what you mean by "olympiad level". These are certainly not at IMO level, which are proof based, as opposed to simply asking for a numerical answer without further justification. Note that 'national olympiads' are heavily influenced by the country (and level) that you are competing at. Most of the Level 4+ problems are challenging enough to be considered for national olympiads which involve numerical answers.
We are building up towards proof based material, like by asking students to submit their solutions that explains their work. In the near future, we are planning on introducing more proof-based problems for the students who have demonstrated their capabilities in their solutions.
Jorge F.- I agree