Calendar: 1855-1856 Page 373

APPLIED SCIENCES 369 12 If lie average lunar month consist of 27 321 GG1 days show that the moon revolves 28 times in 7G5 days 13 Λ Β AC are chords of GO0 and 90 in circle whose centre is show that if Β and OC he produced to meet in the arc whose chord is Chas its cosine and chord equal 14 Every prime number is of the form η f1 if tp and be two prime numbers of the form η show that pq is divisible by 12 15 If we can assume that τ -f xf &c- show that whatever be the value oin f11 -f 1G The squares described on the sides of right-angled triangle being in harmonical progression compare the lengths of the sides III -3au £f un&cr $ctcr tf rtat The questions upon this subject were the same as those set for the Junior Classical Scholarship See ante 362 Department of tfic &pplic& Sciences SENIOR SCHOLARSHIP -Conic tcttons" Qtifcrcnttal airt ihitrgral Calculus The questions upon this subject were the same as in the Paper No II set for the Senior Mathematical Scholarship in the Department of General Literature and Science II fotogp anK iiltncralocji Name the constituent simple minerals of Granite and Gneiss and state the chief distinction between these rocks