playfully vexing (especially by ridicule); "his face wore a somewhat quizzical almost impertinent air"- Lawrence Durrell
perplexed (as if being expected to know something that you do not know); "he had a quizzical expression"
Relating to quizzing; given to quizzing; of the nature of a quiz; farcical; sportive
If you give someone a quizzical look or smile, you look at them in a way that shows that you are surprised or amused by their behaviour. He gave Robin a mildly quizzical glance. + quizzically quiz·zi·cal·ly She looked at him quizzically. a quizzical expression is one that shows that you do not understand something and perhaps think it is slightly amusing a quizzical look/expression/smile