COLLEGE OF PRECEPTORS. (Incorporated by Royal Charter.) PROFESSIONAL PRELIMINARY EXAMINATION.-SEPTEMBER, 1884. TUESDAY, September 9th-Afternoon, 3.30 to 5. ENGLISH HISTORY. Examiner-D. NASMITH, LL.B. 1. Explain the following terms :-parliament, franchise, landlord, tenant, freehold, chattel. 2. What do you understand by the expression "Feudal Tenure," and when and how was feudal tenure abolished in England ? 3. When and under what circumstances were the Constitutions of Clarendon enacted? State briefly some of their most important provisions. 4. When and under what circumstances did Burgesses first enter Parliament ? 5. Mention, with dates, the leading events in the reign of Richard II or Queen Mary. 6. What facts rendered Tudor tyranny possible? 7. Give instances of unconstitutional acts during the reign of James I. 8. State briefly the leading provisions of the Bill of Rights. 9. Mention the various parties against whom Oliver Cromwell waged war, and the result in each case. 10. To what period do you ascribe the origin of "Party Government" in England? State your reasons. 11. For what were Caxton, Columbus, and Luther respectively celebrated? Give dates. 1. Divide 176089632 by 576, using Short Division. 2. Snowdon is 3571 feet above the level of the sea; express this height in metres, taking the metre as 39.37 inches. 3. A rectangular piece of land is 1345 links in length and 860 in breadth; how many square feet would be occupied on paper by a plan of the land drawn upon a scale of 1 inches to the chain? (A chain contains 100 links and is 22 yards in length.) 4. When the carriage of 3 cwt. 2 qrs. 14 lbs. for 37 miles is 18s. 54d., what weight can be carried the same distance for £25. 16s. 3d.? 5. Divide 3 of 4 by 213++43 of 5; and simplify 6. Find the quotient of 5005 by 1953125, of 50.05 by 195.3125, and of 05005 by 0001953125; also find the value of 375 of a guinea +54 of 8s. 3d. +027 of £2.15s. 7. Find, by Practice, the rent of 315 ac. 3 ro. 7 po. at £1. 16s. 8d. an acre. 8. A ladder, whose length is 91 feet, extends from the edge of a road 35 feet wide to within 9 inches of the top of an opposite building. Find its height. 9. Find at what rate per cent. the simple interest on £372. 10s. for 18 years will amount to £301. 14s. 6d.; and find the present worth of £930. 19s. 3d., due 3 years hence, at 3 per cent. 10. Which is the better investment, 3 per cent. Stock at 87, or Railway Shares at £89 per share, paying 34 per cent. ? 11. How far must a carriage be driven that the fore wheel may make 560 more revolutions than the hind wheel, the diameters of the fore and hind wheels being respectively 1 and 2 feet, taking the circumference of the circle to be 34 times the diameter ? 1. Divide 176089632 by 96, using Short Division. 2. How many pounds of tea at 3s. 24d. per lb. must be given in exchange for 35 yds. of cloth at 12s. 5d. per yard? 3. What number divided by 13 will give the quotient 10? 4. Reduce to their simplest forms the expressions 5. Reduce 13s. -428571 of £15 + 3+ Cad. to the decimal of £1, and give the sum of 6. The length, width, and height of a room are respectively 7 yds. 1 ft. 3 in., 5 yds. 2 ft. 9 in., and 4 yds. 6 in. Find what length of paper 2 feet wide will cover the walls, and give its cost at 9d. per yard. 7. If a man travel 540 miles in 24 days, walking 6 hours a day, how many miles will he travel in 3 days, walking 8 hours a day? 8. Find the rate per cent. at which £520 will amount to £754 in 9 years, and find what principal will amount to £840 in 3 years at 4 per cent. 9. Which is the better investment, a 3 per cent. Stock at 881 or a 4 per cent. Stock at 1171 ? 10. If 5 men or 7 women complete a work in 37 days; in what time will 7 men and 5 women do twice as great a work? 1. Find the H. C. F. of 323+x2-3x-1 and 6x3-x2-4x-1, and prove the rule you employ. 2. If 2x value of √ { (422 —5xy +1 + 17,3) (x2 —4xy+4y2) } . 4x2 5. When a and b are positive integers, show generally that a times b equals b times a; and give an illustration when a = 3, b = 2. 6. Two different numbers consist of the same two digits. Their product is 4032, and the quotient of one by the other is ; find the numbers. 7. The sum of two numbers is 16, and 60 times the sum of their reciprocals is also 16; find the numbers. 8. The square root of a certain integral number exceeds 19th of its 4th root by 111; find the number. COLLEGE OF PRECEPTORS. (Incorporated by Royal Charter.) PROFESSIONAL PRELIMINARY EXAMINATION.-SEPTEMBER, 1884. WEDNESDAY, September 10th-Morning, 9.30 to 11.30. ALGEBRA. Examiner-J. MCDOWELL, M.A. 1. Divide a +682 +256 by x+2x3+2x3-8x+16. 2. Find the H. C. F. of 12-10-18 +15 and 6x+4x2-9x-6. 3. Reduce to its simplest form— (5x-7x+13)2- (4x2-5x+12)❜ 4. Express as the product of two simple factors 5. Solve the simple equations : 6. A waterman rows 15 miles and back in 6 hours, and he finds that he can row 5 miles with the stream in the same time as 3 against it: find the times of rowing up and down. 7. Extract the square root of 49x-4x+984x2-4x+49. 49 8. A certain number is diminished by one-fifth of itself and increased by of the remainder. The result is 77; find the number. |
