The initial idioms of the letter A

a price on (one's) head	a prima donna
a prime mover	private language
problem child	a problem shared is a problem halved
Procrustean bed	professional student
professional victim	a promise is a promise
a promise made is a promise kept	a prophet of doom
prophet of doom	a pub crawl
pub crawl	public intellectual
a put-up job	a Pyrrhic victory
a quantum leap	quantum leap
quarter past (a given hour in time)	quarter-pounder
queer duck	a queer fish
queer fish	question mark
a question mark over	a question of time
a quick drop and a sudden stop	a quick fix