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Give him a book full of advanced math problems. Trig, calculus geometry. Tell him that when he can get all the answers correct he is then at the begining of knowing anything about math.
I have had to deal with many kids like him in my life. My method of dealing with them is to make them understand they really know NOTHING in a relative sense.
Why are you getting so MAD (not merely annoyed) by a 9 y.o.? Are you young or impatient with kids? I know many know-it-all kids.
Some ideas:
Get in/out of house quickly
Ignore kid
Tell kid you have a migraine and can't talk
Tell kid you need "alone time" to concentrate on work and he should not follow you/peer over your PC
Tell the kid in a curt, monotone voice that he is much smarter than you when he gives suggestions. (I don't think you should ask "Why ?'s" which will further engage him).
I also like the above poster's response about giving him math problems, though I wouldn't antagonize him about not knowing math. I'd just say something like, "I need to solve these differential equations. You're so smart, so is there anyway you can complete these?" Hopefully he will go quietly into a corner to work on the problems for an hour.
So.... Do not engage him, do not challenge/antagonize him, redirect his behavior to another activity. And, stop letting some little kid get under your skin.