My son has scores just like this. Why bother trying to grade skip? Keep stimulating him. Does your school have a gifted program? Ours starts in 4th grade- my son is in 2nd grade. He's bored but not catatonic.
So much of success in life is how happy you are and how well you interact with others, esp. for a job. So many kids who grade-skip long-term have some social issues. I always wonder, wouldn't you have been better off being the smartest (and most well-adjusted) kid in your class, rather than being bright, not the smartest, and socially a misfit when you grade skip.