Preparing for the Intl' Maths Olympiad: Questions & Answers

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Hi

I wanted to know certain things about the Intl' Maths Olympiad.
First, is the syllabus limited to Number theory,Geometry,Combinatorics and Algebra(inequalities and quadratics mostly) ? I mean is there no Calculus,Co-odinate Geometry,Vector and Complex algebra ,(considering trigo to be a part of geometry) , these are the major concepts we study in the final grades at the school ?
Second, I have major trouble going into details of number theory and geometry, as I haven't touched these for almost two years ? How do i prepare for these topics ?
Third, In case i am preparing for an exam which is very much application based, does preparing for IMO (which i feel is pure math) a good choice ?

Thx for any help

PS: I do not mean to refer to Maths Olympiads only at the Intl level but also on National levels
 
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