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I will answer the question in different dimensions.

Succeeding in olympiad requires lot of hardwork, ability to find shortcut in solving the problems,strategic planning and insatiable thrist to solve problems,willing to undergo lot of stress,thinking hard in a relaxed way about the problem all the time.

Formulate your own theory by looking at a problem and extrapolate the concept out of a problem. Do not get obsessed about winning a medal but about a problem.

One thing do not force yourself to study for olympiad. You should love being challenged with in your limits and then expand you limit from start. forceful application will lead to diminshing capability and confidence which will leave a deep mark. You do not have to be a genius but you should some reasonable amount of interest in solving problems.

Do not jump to high level concepts unless you have mastery over fundamentals.

I spoke with olympiad winners personally their main advice is to solve as many problems as you can. Learn the art to be creative and problem strategy.

Do not learn to solve the problem the hard way but rather smart way. But how?. when you are solving a problem ask is there any short cut to solve this problem?.

I would recommend "Solving Mathematical Problems: A Personal Perspective " by terrance tao

"How to solve by it" Polya.

Please look at amazon for books by ravi vakil.

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