For independent schools, the Telegraph reported that the majority of bursaries (scholarships) go to the middle class, not working class:
“He said a large proportion of bursaries were handed out to the “squeezed middle” - children of doctors, lawyers and owners of small businesses – who can no longer afford to pay fees in full.
“The majority of means tested bursaries will be topping up the squeezed middle who can’t afford £40,000-a-year fees,” he told The Daily Telegraph....
Last year there were 5,657 children whose places were fully funded by bursaries, which is one per cent of the total number of children at private schools, according to figures published by the Independent Schools Council (ISC).
Meanwhile 22,757 pupils (four per cent) were handed bursaries that paid for up to half of the fees, and 66,327 bursaries (12 per cent) went to children of staff, clergy or armed forces.” [the per cents are % of total pupils not bursaries]
So in the U.K. we have
5,675 full ride bursaries
22,757 were up to half the fees (so parents on average still paying £20k/yr)
66,327 to clergy, staff and military also top ups.
That’s 94,759 bursaries, of which only 6% of all bursaries are full ride bursaries going to the working class.
There’s no ethnicity break out, so can’t say if disproportionate by ethnicity or not. But it’s definitely disproportionate against working class and favouring middle class.
www.telegraph.co.uk/education/2019/01/25/private-school-bursaries-used-top-fees-middleclass-children/