Each school should have specific deadlines for filing Financial Aid. If you're talking about scholarships, I think those applications need to be submitted with your application to the school.
The federal deadline for FAFSA is June 30, 2014. The state deadline for Illinois is ASAP after January 1, 2013. The state deadline for Massachusetts is May 1, 2013. As I stated before, each school will probably have their own deadlines, so I would suggest filling out the online form as soon as you can.