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day pupil

n. A student who attends a boarding school but does not board there, continuing to live at home

Wikipedia
Day pupil

Day pupils (also known as day hops or day-scholars and, in single-sex schools, day boys or day girls) are students who attend boarding school but who are not boarders and who travel between home and school every day. The majority of boarding schools allow this, although most of their students are boarders.