(a) the manner in which public examinations are to be held;
(b) the times within which and the places at which public examinations are to be held;
(c) the subjects upon which public examinations are to be written;
(d) the diplomas and prizes which may be awarded by the department in respect of public examinations and the persons to whom and the manner in which they may be awarded; and
(e) the appointment of examiners and other persons to conduct public examinations.