I have an almost 3 year old and according to his parents he does not nap at home. When I put him down for quiet time I tell him its time to close his eyes for a nap and he asleep within 5-10 minutes. I have another 3 year old who is stubborn and rarely naps (desperately need one), but for the most part stays quiet during quiet time.

During quiet time I don't expect the older ones to sleep, but they are given a basket of books and they can either lay on the couch and look at them or lay quietly.