The following is a regular customer in Korean grammar books, but I don't think I have heard of "I asked a few questions of him" a lot. Is it just a grammar stuff or an old one?
ex)I asked him a few questions = I asked a few questions of him.
It's correct, but you're right -- it's not used a lot.
"Ask of" is mostly used to express demands.Your heart will be wrong many times, I see it in your hand. You must beware of the things your heart says to you. This girl will make you very unhappy. But some day, not so long, maybe two years, maybe three, you will meet a girl that you will wally love, and she will love you. I see it in your hand. She will be a very beautiful girl, a blonde-haired girl. I see a long and happy marriage. " You would like to ask a question of me, now, maybe? No? Well, then, I can tell you no more.
You can also say:
I put a question to him.