There shall be vested in the Board the whole control and management of the Otago Boys' and Girls' High Schools, and the said Board shall have full power to appoint and dismiss all professors, masters, teachers, lecturers, examiners, and other officers and servants for the management of the said High Schools, and also the entire management and superintendence over all the affairs, concerns, and property of the said High Schools; and, in all cases unprovided for by this Act, it shall be lawful for the said Board to act in such manner as shall appear to them best calculated to further the purposes intended to be served by the establishment of the said High Schools. And the said Board shall have full power from time to time to make by-laws and regulations for defining the course of study and education on secular subjects in the said High Schools, and also for the discipline and examination of the same, the conditions upon which scholars shall be admitted, and the fees to be paid in respect of such admission, and in general touching all other matters, purposes, and things regarding the said High Schools.