The story of British education of course varies somewhat from country to country. The United Kingsom is composed of several constiuent countries and other units. The principal ones are England, Northern Ireland, Scotland, and Wales.
The educatiuonal system and the private schools in Wales is quite similar to that in England. We are less sure about Northern Ireland. The development of the Scottish education system in particular is different in many aspects to that in England. The educational system in England was largely various kinds of independent schools until the late 19-th century. This was not the case in Scotland which because of the Reformastion, state-supported schools developed at a very early period. And the availability of excellent free public education affected the development of independent schools. Today there the sdchools in England and Scotland are very similar, but there are some differences..