independent school
US /ˌɪndɪˈpendənt skuːl/
UK /ˌɪndɪˈpendənt skuːl/

1.
a private school, supported by the payment of fees rather than by the state
:
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Many parents choose to send their children to an independent school for specialized education.
•
The new government policy aims to provide more funding for state schools, potentially impacting enrollment in independent schools.