There are a number of sites but
http://www.ibpapers.net/
is the best.
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Check out eaa.unsw.edu.au
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CBSE Sample Papers for Class 9th, 10th, 11th and 12th are available online on many websites for all subjects including Maths. You can access them for free. Also you can buy sample papers books online. Links to free sample papers and online purchase are given below in related links.
You can download papers with answers on google just type in Jumior Maths Olympiad Papers
as a2+b2=(a+ib)(a-ib), b2+2=[b - i sqrt(2)] [b + i sqrt(2)]