Calendar: 1883-1884 Page 667

CLOTIIWORKERS' SCIENCE EXHIBITION 663 Expand 2x yf 2' nd simplify ץ Ο 2y 32 no case using the ordinary process of multiplication Resolve into factors ό 26 ג 4160 δ χ1 cx ac י λ 27 4'7 3r 4-λ v-fc tab c2 i2 Solve the equations 2x 41 --4 -3 ז20 χ 42 4z 21 -- χ xy 12 781 Show'how to find the sum of an Arithmetic Progression vhen the first term common difference and number of terms ire given There are Arithmetic Progressions each beginning with and their common differences are 3----m respec- ively Show that the sum of their nth terms is min 41 Prove the Binomial Theorem for positive integral exponent Show that cos sin2 Find sin 45 cos 45 chess-board consists of 64 square divisions and of gilt order of an inch wide surrounding the whole knight one move from centre of third square in first row