public school
US /ˌpʌb.lɪk ˈskuːl/
UK /ˌpʌb.lɪk ˈskuːl/

1.
a school supported by public funds
:
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Most children in the area attend a public school.
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Funding for public schools often comes from local taxes.
2.
(in the UK) a private fee-paying secondary school, especially one for boarders
:
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He was sent to a prestigious public school in England.
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Many prominent figures in British society attended public schools.