3 I was wondering if/whether
a) spoken used to ask someone politely to help you :
I was wondering if I could borrow your car?
b) used to ask someone politely if they would like to do something :
I was wondering if you’d like to come to dinner.
4 to feel surprised and unable to believe something
wonder about/at
Sometimes I wonder about his behaviour.
wonder how
I wonder how he dares to show his face!
I don’t wonder British English (= I am not surprised )
I don’t wonder you’re tired.
I shouldn’t wonder British English (= I would not be surprised about something )
He’ll come back soon enough, I shouldn’t wonder.
5 to doubt or question whether something is true :
‘Is she serious?’ ‘I wonder.’
wonder if/whether
Sometimes I wonder if he’s got any sense at all!