houses, three-quarters of a mile long, be repaired at a cost of £7 98. 6d., what portion of the expense should be paid by an inhabitant, whose premises have a frontage of 18 yds. 2 ft. ? Explain the difference between "ratio" and " propor. tion.' How many kinds of proportion are there ? State and explain the names given to several parts in a proportion sum. 2. An engine of 16-horse power can pump out ths of the water in a reservoir in 3 days, working 7 hours a day. In how many days will an engine of 15-horse power, working 8 hours a day, empty the reservoir ? By what methods can the work be shortened in a proportion sum ? Explain why these methods are correct. SECTION VII.-1. Two-sevenths of a farm is sown with wheat, four-ninths of it is pasture, and the remainder, woodland, contains 24 acres, 2 roods, 7 perches. Find the size of the farm. What is a fraction ? Name the different kinds of vulgar fractions, and distinguish between them. 2. If the owner of ths of a ship sold (1 of %)ths of his share for £4990, what was the value of of 3)ths of the whole ship at the same rate. Give and explain the names of the different parts of a vulgar fraction, and show their relation to each other, and to the integer. SECTION VIII.-1. How much will remain of of £25•2, after the following articles have been paid for, viz. :-1% yds. of cloth at £0-8 per yard, and 12:2 yds. of linen at £0:125 per yard? Give the answer in decimal form. Name the different kinds of decimals, and distinguish between them. 33 2. Find the valne of f of hof £1 188. +3 of 0-0375 of 158. + of 0-429 of 88. 3d., and express the result as the decimal of £5. How may a vulgar fraction be converted into a deci. mal? What kind of vulgar fraction can produce no finite decimal? Explain why. SECTION IX.-1. In what time will £436 10s. amount to £568 18:18. at 7 per cent. per annum, simple interest ? Siate the different methods employed in subtraction, and give your reasons for preferring one of them to an. other. 2. A farmer rents a farm of 400 acres on the io Jowing terms :- He pays as rent 10) ors. of beat, is grs. of barley, and @u qrz. of cats, the price of wheat, barley, and cats being respectiveis 403.1, 3.13. Sd., and 193.21. per quarter. Give his arerage rent per acre in £ s. d. SECTION IIL-1. Make the following 6:11:45 tons of coals at 158. 6d. per ton, carriage of same at 23. od. per ton; 2 tracks of gravel (i.e., 114 tons) at 53. per ton, carriage of same at 23. 6d. per ton. What are the two differen: kinds of practiee called? Which kind is mostly used in bills of parcels? Gire reasons for your answer. 9. Find the change out of a £10 note after paying the following, bill:–124 yds. of fannel at 1s. 6d. per yd., 37 yds. of calico at 18.04d. per yd., 21 yds. of muslin at 24. 4 d. per yd., 18 yds. of linen at 23. od. per yd. What is a Bill of Parcels? What else is it sometimes What rules of mental arithmetic can be applied in finding the amounts of the items? SECTION IV.–1. Find by practice the rent of 311 acres 2 roods 26 perches at 58. 81d. per rood. What rule does practice depend upon ? And how is that rale simplified by it? 2. A bankrupt can pay only 123. 68. in the pound, and his debts amount to £1,537 4s. 1d.; what is his estate worth? How much will be paid on a debt of £276 11s. 6d.? What is meant by an “aliquot” part? SECTION V... The planting of a rood of ground cost £2885. 40.; what was paid for planting 23 acres 3 roods Explain and define measure, factor, multiple, submultiple. 2. Bought 176 yds. 2 qrs. 2 nails, 1} inch, at 18s. 9d. per English ell (= 5 quarters); what is the gain or loss per inch? the terms profit and loss-profit and loss per Explain cent. SECTION VI.–1. If the road in front of a row of called ? 24 perches and 11 sq. yds.? in selling at 60. Define“ principal," "amount," “ interest,” (simple and , compound), " discounts," "stocks," "annuities." “ 2. A farmer mixes wheat; 93 qrs. at 38s. 6d., the same quantity at 40s. 6d., and at 428. 9d. per quarter, and 243 qrs. at 458. and the same quantity at 47s. per quarter. What is the average price of the mixture ? What is a percentage ? an average ? DICTATION AND PENMANSHIP. I'wenty minutes allowed for these exercises. Candidates are not to paint their letters in the Copy-setting Exercises, but to take care that the copy is clean and without erasures. Omissions and erasures in the Dictation Exercise will be counted as mistakes. The words most not be divided between two lines; there is plenty of room for the passage to be written. Write in large hand, as a specimen of Penmanship, the words Major Fitzgerald. Write in small hand, as a specimen of Penmanship, the sentence There is a willow grows aslant a brooke, a DICTATION. (For the Examiners.) The passages A, B are to be given alternately if the number of Candidates is large and there is danger of copying. If one is enough, give the first (A). The passage should be read once distinctly, and then dictated once in portions as marked. If the room is large, and there is danger of your not being heard at its extremity, you may permit one of the officers of the college to stand half-way down the room, and repeat the words after you exactly as you give them out. It is essential that there be no complaint on the part of the Candidates that they could not hear or understand; you can only prevent this by clearness, accuracy, and audibility A. They paddled onward hour after hour, sheltering themselves as best they could | under the shadow of the southern bank; 1 while on their right hand | the full sunglare lay | upon the enormous wall of figs, and laurels, I which formed the northern forest, I broken by the slender shafts of bamboo tufts, I and decked with a thousand gaudy parasites ; į bank upon bank of gorgeous bloom | piled upward to the sky, | till where its outline cut the blue | howers and leaves, | too lofty to be distinguished by the eye, | formed a broken rainbow of all hues | quivering in the ascending streams of azure mist, | until they seemed to melt I and mingle with the very heavens. B. As the sun rose higher and higher, I a great stillness fell upon the forest. The jaguars and the monkeys | had hidden themselves | in the darkest depths of the wood, I the very butterflies ceased their fitting over the tree-tops, I and slept with outspread wings | upon the glossy leaves, I undistinguishable from the flowers around them. | Now and then a parrot swung | and screamed at them from an overhanging bough; | or a thirsty monkey | slid lazily to the surface of the stream, | dipped up the water in his tiny hand, / and started chattering back, I as his eyes met those of some foul alligator | peering upward | through the clear depths below. 0 |