question vs wonder

question and wonder both are nouns.

Word	Noun	Adjective	Verb	Adverb
question	Yes	No	Yes	No
wonder	Yes	No	Yes	No

As verbs, wonder is a hyponym of question; that is, wonder is a word with a more specific, narrower meaning than question:

Other hyponyms of question include enquire, inquire, interpellate, examine, pump, check out, feel out, sound out, debrief.

As verbs, question and wonder are synonyms defined as:

question (noun)	wonder (noun)
uncertainty about the truth or factuality or existence of something	a state in which you want to learn more about something
an instance of questioning	something that causes feelings of wonder
the subject matter at issue	the feeling aroused by something strange and surprising
a formal proposal for action made to a deliberative assembly for discussion and vote
a sentence of inquiry that asks for a reply
an informal reference to a marriage proposal

question (verb)	wonder (verb)
pose a question	have a wish or desire to know something
challenge the accuracy, probity, or propriety of	place in doubt or express doubtful speculation
place in doubt or express doubtful speculation	be amazed at
pose a series of questions to
conduct an interview in television, newspaper, and radio reporting