1. [v]  be a mystery or bewildering to; "This beats me!"; "Got me--I don't know the answer!"; "a vexing problem"
2. [v]  affect with wonder; "Your ability to speak six languages amazes me!"

AMAZE is a 5 letter word that starts with A.

1. \A*maze"\, v. t. [imp. & p. p. {Amazed}; p. pr. & vb. n.
   {Amazing}.] [Pref. a- + maze.]
   1. To bewilder; to stupefy; to bring into a maze. [Obs.]
            A labyrinth to amaze his foes.        --Shak.
   2. To confound, as by fear, wonder, extreme surprise; to
      overwhelm with wonder; to astound; to astonish greatly.
      ``Amazing Europe with her wit.'' --Goldsmith.
            And all the people were amazed, and said, Is not
            this the son of David?                --Matt. xii.
                                                  23.
   Syn: To astonish; astound; confound; bewilder; perplex;
        surprise.
   Usage: {Amaze}, {Astonish}. Amazement includes the notion of
          bewilderment of difficulty accompanied by surprise. It
          expresses a state in which one does not know what to
          do, or to say, or to think. Hence we are amazed at
          what we can not in the least account for. Astonishment
          also implies surprise. It expresses a state in which
          one is stunned by the vastness or greatness of
          something, or struck with some degree of horror, as
          when one is overpowered by the ?normity of an act,
          etc.
   

2. \A*maze"\, v. i.
   To be astounded. [Archaic] --B. Taylor.
   

3. \A*maze"\, v. t.
   Bewilderment, arising from fear, surprise, or wonder;
   amazement. [Chiefly poetic]
         The wild, bewildered Of one to stone converted by
         amaze.                                   --Byron.