Possible Research Topics for High School I am a highschool student some experience with Math Olympiads and I will be taking a Scientific Research class next year. I would like to ask for interesting Mathematics topics that I could consider - I have tried going online for possible research topics but I couldn't determine which was for my level. 
I would like to also ask for resources that I could use for carrying out my research. I do not have access to programs such as PRIMES as I live outside the US. 
Thank you. 

I'm a fan of mathematical games for projects like these. They are fun, don't (necessarily) require advanced math -- I 've taught basic theory to groups 10 year olds -- and there are lots of open problems.  Check out Winning Ways, by Berlekamp, Conway, and Guy, and M. Albert, R. J. Nowakowski, D. Wolfe, Lessons in Play.  Here's a good website with a link to a list of open problems
http://www.mscs.dal.ca/~rjn/Site/Game_Theory.html
For motivation check out an award winning work by a (then) high school senior.
http://www.emis.ams.org/journals/INTEGERS/papers/dg3/dg3.Abstract.html
