David was nervous and pulled deeply on his cigarette

[Bassim]

I am wondering if my sentences are grammatically correct.

David was nervous and pulled deeply on his cigarette. He felt the nicotine rush spreading through his body like an anaesthetic.

 

[Bassim]

Oxford Collocations Dictionary has the following verbs in combination with "cigarette": smoke, draw on, pull on, suck on.

I think that at least in BrE, "pull on a cigarette" is a correct expression.

 

[Bassim]

"Pull on a cigarette or "draw on a cigarette" means the same.

 

[emsr2d2]

"Pull on a cigarette or "draw on a cigarette" [STRIKE]means[/STRIKE] mean the same.

In BrE, "pull on a cigarette" would be clear. I would use "drew on" in your original, though.