Smallwhitecat: no that isn't the answer.
What really, really, really grates on me in these sorts of progs interviewing the likes of Jacob Rees Mogg is that once they start spouting Latin, it somehow appears that they are more intelligent than your average prole...
Well, it's only because they have actually been taught Latin in the first place, plenty of state school children could (and do in some cases) learn it just as adequately to give a quick quote to some journalist.
I doubt very much indeed that the likes of David Cameron and George Osborne are any brighter than some of their counterparts who attended state school.
Many bright state educated children could pass the entrance exams to top public schools were they given the opportunity to compete on a level playing field for the places.
About 15 pupils from my DCs grammar school were successful in applying to Oxford this year and I actually do know of someone reading PPE at Oxford now who went to a comprehensive school so there is some hope :)
Let's hope Gove does raise standards for the brightest in the state system so there can be some real competition soon.