quite a few

quite a few

A significant (but non-specific) amount; a lot. By itself, "a few" refers to a relatively small number. Please take some cake home with you—there's quite a few pieces left.
See also: few, quite
Farlex Dictionary of Idioms.

quite a few

 and quite a lot; quite a bit; quite a number
much or many. Do you need one? I have quite a few. I have quite a bit—enough to spare some. How many? Oh, quite a number.
See also: few, quite
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs.

quite a ˈfew

(British English also a good ˈfew) a fairly large number: I’ve been there quite a few times. They’ve been here a good few years now.
See also: few, quite
Farlex Partner Idioms Dictionary
See also:
  • to name (but) a few
  • to name a few
  • have a few too many
  • a few ticks
  • hoist a few
  • shy
  • drop (one) a few lines
  • drop a line and drop a few lines; drop a note
  • hang a few on
  • out of print
References in periodicals archive
The result probably flattered Comrades who nicked quite a few of the frames on the colours.
"There are still quite a few people in and around the team, my name would be in and around there somewhere and it just depends on where."
The boy who used to sit behind you in fourth-grade math is there, and he's shot up quite a few inches and is looking mighty dishy.
There were quite a few electrical problems, particularly with the metal roof, so ask the seller if any work's been done on the mechanism.
In fact, quite a few believe that political activities should be financed mainly by state subsidies and individual donations.