I sent information to the math teacher like this.
Here are a bunch of competitions we could enter:
Rocket City Math - free!- three 45-minute tests given in Nov, Jan, and April
Continental Math League - $85/team - 5 meets, 30 minutes each
Purple Comet Math - free! - testing in the Spring
Math Kangaroo - $20/each - end of March
AMC8 - about $109 with registration, practice, etc. - Nov 18th test
Math Counts - Feb competition for regionals, March for state
Math Olympiad - $89 - 5 monthly contests Nov-March
State Math Competition - free! - Round 1 in Nov, Round II in Feb
I'm hoping the school will let us organize, even if math teacher is too busy. It could be so cool.