There were a couple folks on this board who had had success in finding good, enthusiastic math mentors and I want to say they were located in university towns. One had a math grad student, I believe. I think tutors are different--they want to help with current coursework but won't necessarily think up new extensions (that's what one tutor told me when I was trying to find a mentor). If you don't live in a university town and can't locate someone to mentor, one suggestion is AoPS (art of problem solving). It provided my son a "math community" exactly at age 9--albeit online. My ds was so excited to "meet" other math-talented kids and participate in fast-paced classes. For a while he did the FTW (For the Win)--it's a game where kids challenge each other to solve problems and see who can do it faster. It was a good start. Since then, DS shared math passion at jhu cty summer camp (inductive & deductive reasoning) and an online Fractal Math course. I tried to convince him MathPath camp this summer (for 11-14 yr olds) would be great for him, but he declined (I think he'll entertain the idea next summer after a teacher at school also recommended it).
