I got a CenterPoint Sniper 370. It was one of the least expensive models, yet it well made and accurate. I don't know if I would recommend it for a ten year old though. It is heavy and has a 185 lb draw weight.
If I were you, I would definitely take the kid to a shop and talk to an experienced bow expert. Have the kid hold the bow and ideally, have him cock it and shoot it. I am thinking a recurve with a cocker would be the way to go but I am not an expert.