What are the books required & how to prepare for RMO,RCO,RPO and National science Olympiads please tell me.. If possible please post me a sample paper of all these exams or give me the link from where I could download it.

Hi Ramsing

Refer to the follwing books for the olympiads:

Books for Mathematical Olympiads:

• GEOMETRY

1. Durrel M. A., Modern Geometry Macmillan & Co., London.
2. H. S. M. Coxeter and S. L. Greitzer, Geometry Revisited Mathematical Association of America.
3. S. L. Loney, Plane Trigonometry Macmillan & Co., London.

1. I. Niven & H. S. Zuckerman An Introduction to the Theory of Numbers Wiley Eastern Ltd. New Delhi.
2. David Burton Elementary Number Theory Universal Book Stall, New Delhi.
3. G. H. Hardy & Wright An introduction to the theory of numbers, Oxford University Publishers.

1. Samasya, journal devoted to problem solving, published by Leelavati trust, Bangalore.
2. Bona Mathematica, published by Bhaskaracharya Prathistana , Pune.

Other Sites:

http://olympiads.hbcse.tifr.res.in/

http://www.jyu.fi/tdk/kastdk/olympiads/

http://imo.math.ca/