WordNet (r) 3.0 (2006):

hand out
    v 1: give to several people; "The teacher handed out the exams"
         [syn: distribute, give out, hand out, pass out]

Moby Thesaurus II by Grady Ward, 1.0:

68 Moby Thesaurus words for "hand out":
   accord, administer, afford, allot, allow, award, bestow, bestow on,
   circulate, come across with, communicate, confer, deal, deal out,
   deliver, deliver over, devote, dish out, dispense, distribute,
   dole, dole out, donate, extend, fork out, fork over, forward, gift,
   gift with, give, give freely, give in, give out, give over, grant,
   hand, hand in, hand over, heap, help to, impart, issue, lavish,
   let have, mete, mete out, offer, pass, pass out, pass over, pour,
   present, proffer, rain, reach, render, resign, serve, shell out,
   shower, slip, snow, surrender, tender, transfer, turn over,
   vouchsafe, yield