I have come across a sentence,"He is quick at solving mathematical problems". My dilemma is that I checked up the dictionary and I didn't find any sentence in which the preposition "at" is suffixed with "quick". The only quoted suffixed preposition is "to".Please explain whether "quick at" is correct or not.
quick "at?"
- Thread starter abhishek31
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- grammar preposition quick at
When it comes to prepositions, there is no real explanation why one is preferred over another. Your example is correct and 'at' is used correctly as far as I am concerned. 
PS. I thought there might be some examples in the BNC. You can take a look:
http://bnc.bl.uk/saraWeb.php?qy=quick+at&mysubmit=Go
PS. I thought there might be some examples in the BNC. You can take a look:
http://bnc.bl.uk/saraWeb.php?qy=quick+at&mysubmit=Go
'Quick at' + gerund-participial phrase, 'quick to' + infinitival phrase (where the 'to' is not the preposition but the subordinator marking an infinitival): He is quick at solving the problem; he was quick to solve the problem.
I wonder if it's not influenced by "good at" (= skilful at). There must be many other instances: slow at, useless at, expert at...