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Longman Dictionary of Contemporary English
state school
noun
EXAMPLES FROM CORPUS
▪ Her language may be a bit highbrow, but it strikes a chord with many of Britain's state school heads.
▪ Justice says they should be allowed to attend the state school.
Wiktionary
state school

n. A government-funded school, paid for by state taxes.

Wikipedia
State school

State schools (also known as public schools outside of England and Wales) generally refer to primary or secondary schools mandated for or offered to all children without charge, funded in whole or in part by taxation. The term may also refer to public institutions of post-secondary education.