I believe that, most of the time, these questions are actually symptomatic of a different problem. A lot of us here tend to give answers in the most complicated and advanced language possible. This is a great disservice to anybody with less advanced mathematical abilities. I suspect that what the asker actually means is "please answer this in a way that I can understand." When they say "no math please" I see it as an overreaction, intended to balance out our own tendency to explain simple things in complex terms.
In other words, when somebody who is clearly at a high school or early undergraduate level comes around, asking something valid but simple, for example "Why does a projectile follow a parabolic path," we really need to avoid the temptation to give an answer in terms of number theoretic symmetry groups, Lagrangian dynamics, and quantum field theory!
Of course, there is room for the more advanced explanation, and it is often good to have that answer in addition to the simpler one. More advanced readers should be able to find a response at their level; I don't debate that. Ultimately, though, if we want to stop people from asking for "no math please" then we need people to feel that if they ask a question using intermediate level language, they will get at least one response that is both correct, and expressed at an intermediate level.
Edit: I'd just like to clarify that I'm speaking here in generalities. I agree that there are plenty of cases where a "no math please" question cannot be properly answered without math.