Calendar: 1888-1889 Page 788

780 CLOTH WORKERS' AND SAMBROOKE EXHIBITIONS r4 Zx2 36 fast train goes 40 miles an hour slow train 20 miles an hour if railway is 100 miles long and the trains run alternately fast and slow how many trains at most can be on the rails going the same way Recoirnise the character of the following series and te down the next term of each י The sum of η terms of series is n2 what is the series Distinguish between permutations and combinations In how many ways can people be chosen out of to play lawn tennis and in how many ways can the be arranged for the game 10 Prove the Binomial Theorem for positive integral index Write down in their simplest forms the th terms in the cpansions of -f Ο2 III -Crigononutvi anto 9ritif 11ttttc Candidates for Warneford Scholarship and Sambrooke Exhibition omit questions 1- Find the sine secant and tangent of 210 and mention the other angles between -360 and 360 of which they are respectively the sine secant and tangent Prove that sin 2A sin cos and deduce that sin 2A sin 2A tan2 45