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I believe that most students who score well in OMK have special training in their schools. This is because OMK covers materials that are beyond school syllabus like number theory.
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I am not sure how the questions are like nowadays, but back in my days most questions were do-able with the most basic geometry theorems (cosine rules etc), high school algebra and logical deductions. Admittedly if you know some of the tricks it would make things much easier, and to an extent it is dependent on the quality of the preparation you get in your school.
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There are some books available for olimpiad type preparation.
Locally I know of a book produced by Suhaimi one of the ex-IMO contestants and the current IMO team leader. Read more here: http://suhaimiramly.wordpress.com/20...ort-updates-6/ There are also some books / resource about past OMK questions and solutions, but I don't know much about them so you might have to dig it out by yourself. As for foreign book, this book is my all-time favourite: http://www.amazon.com/Art-Craft-Prob.../dp/0471135712 Yes, expensive, but very enlightening and helpful. Even if you are not preparing for Maths Olympiad, this book is still very empowering and eye-opening.
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