public school england

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Private schools (also known as ‘independent schools’) charge fees to attend instead of being funded by the government. Pupils do not have to follow the national curriculum.
Some other schools are inspected by the School Inspection Service.

References:

http://www.gov.uk/types-of-school/private-schools
http://www.goodschoolsguide.co.uk/choosing-a-school/state-schools/secondary-school-admissions