the steamer, •16 x 3 of his share. The steamer shortly afterwards was lost and £36000 insurance money was paid to the owners. How much of this sum ought I to receive ? 4. Find by Practice the value of 3 tons 6 cwt. 3 qrs. 21 lb. at £117. 58. per ton. 5. A room 11 yards long, 7 yards broad, and 10 feet high has two windows, each of which is 6 feet high by 4 feet broad, and a door 8 feet high by 3 feet broad. What will be the expense of papering it with paper 1 foot 9 in. wide costing ninepence a yard ? 6. Find the difference to the nearest penny between the Compound and Simple Interest on £750. 128. 6d. for 3 years at 5 per cent. 7. A can do a piece of work in 15 days and B can do the same in 12 days. They started working together, but after five days A was taken ill and could do no more. How long will it take B to finish it ? 8. £6200 is left by a man to relations. To each of his three brothers he left three times as much as to each of his four nephews, and to each of his nephews twice as much as to each of his five nieces. How much did each receive ? 9. Find the square root of 292681, and the L. C. M. of 63, 64, 66, 72, 84, 88. 10. How much money must be invested in 3 per cent. stock at 96 to produce an income of £256 per annum ? 11. A town in a period of five years decreased 5 per cent. in population, but during the next period of five years it increased 3 per cent. How much per cent. has it increased or decreased during these two periods ? 12. Two clocks are set going at 12 o'clock (noon) on Monday. One of them gains 30 seconds an hour and the other 3 minutes in two hours. At what time by the former clock will there be a difference of fifteen minutes between the two ? XVI. SEPTEMBER, 1905. 1. Reduce 2 miles 3 fur. 21 poles 3 yds. 2 ft. 7 in. to inches. 2. Find the G. C. M. of 23947 and 156122; and the L. C. M. of 12, 18, 28, 32, 60, 63, 90, 120. 3. Simplify: of 13 : 315 74 : 44 of 1 (2) (114 - 5300 2 + 5 * 6+ 4. A merchant buys 72 gallons of whisky at 168. 6d. per gallon, and 36 gallons at 198. 6d. per gallon; he mixes them and sells the mixture at 208. per gallon. What does he gain per cent. on bis outlay? 5. Express 11 as a decimal fraction; and .4032 as a vulgar fraction. 6. If the simple interest on £3010 be £426. 88. 4d. in 3 years and 4 months, what is the rate per cent. ? 7. A man sold out £5525 41 per cent. stock at 127 and invested the proceeds in 3 per cent. stock standing at a discount of 44What was the change in his income? 8. (1) Find the number of which 24 is 15 per cent.; (2) Extract the square root of 53. 9. It costs £4. Os. 8d. to paper the walls of a room, 21 ft. by 18 ft., with paper costing 8d. a sq. yd.; the room has a doorway 7 ft. by 3 ft., a fireplace 4 ft. 6 in. by 3 ft. 4 in., and three windows each 5 ft. by 3 ft. What is the height of the room ? 10. Find the number of cubic feet of wood used in making a closed box 6 ft. long, 2 ft. 4 in. wide, 2 ft. 2 in. high, the wood being 2 in. thick. 11. A chemist, in making a solution which should contain 9 grains of a drug to the ounce of water, puts by mistake 36 grains only into an 8-ounce bottle; the mistake is discovered when 2 ounces of the solution have been used. How much of the drug should be added to the remainder of the solution to make it of the correct strength ? 12. The hands of a clock which is set going at 12 noon on Sunday become opposite to one another in 33 minutes. Does the clock gain or lose? What time (correct) will it be when the clock shows an error of half an hour ? XVII. MICHAELMAS TERM, 1905. 1. Find the G. C. M. of 321321 and 654947, and the L. C. M. of 143, 78, 182, 637, 312. m 1 10 2. Simplify: o + 7 ?: 115 - 5. It is 1 + 5 - 1 3. Find the square roots of 3336982, .000441. 4. A man's total income for the four years 1901 to 1904 was four million, four hundred and seventy thousand, six hundred and sixty pounds. How much does that come to per second, taking leap-years into account? 5. If 454 Dutch florins are equal in value to 100 francs, and 25.25 francs are equal in value to £1, find correct to one place of decimals the value of a Dutch florin in pence. 6. A, B, and C working together do a piece of work for £9. 178. 6d. A, alone, could do the work in 20 days, B, alone, could do it in 30 days, and C, alone, could do it in 24 days. How much should each receive in payment of the work done by him ? 7. What sum must be invested in 3 per cent. stock at £98 in order to produce a net income of £229 after deducting income-tax at 11d. in the pound ? : 8. By reducing the selling price of wine from £4.168.6d. to £4. 158. per dozen, a wine merchant reduces his profit by 21 per cent. What was the cost price of a single bottle ? 9. Find correct to the nearest farthing the compound interest on £750. 38. 6d. for 2 years at 4 per cent. 10. What is the cost of covering a field 80 yards long and 50 yards wide with sods of turf, measuring 27 inches long and 12 inches wide, the cost of the sods, when laid, being 68. 6d. a hundred ? 11. The difference between the incomes derived from investing a certain sum of money in 24 per cent. stock at £75 and in 3 per cent. stock at £96 was £7. 108. What was the sum invested ? XVIII. HILARY TERM, 1906. 1. Find the value of 5% off of 24-1:(}+) 1- # of {1+1 of 1 2. (1) Find the square root of 10747.4689; (2) Divide 225.3213 by 0267 and 2253213 by :00267. 3. Reduce 15s. 32d. to the decimal of a guinea, and find the value of 392g - 3 of £9. 7 of 8 g + s " 4. What sum must a man invest in 3 per cent. stock at 911, in order to have a clear income of £230 after paying an income tax of 10d. in the pound ? 5. A brick is 9 inches long, 44 inches wide, and 3 inches thick. How many bricks will be required to build a wall, 520 yards 9 inches long, 15 feet high, and 18 inches thick ? 6. Find, correct to the nearest penny, the present value of £968. 168. 6d. due 6 years hence at 31 per cent. 7. If the difference between the simple and compound interest on a sum of money for two years at 5 per cent. be £5. 188. 9 d., find the sum. 8. If 20 men do a piece of work in 14 weeks, working 6 days a week and 8 hours a day, in how many weeks will 24 men do it working 5 days a week and 7 hours 9. A, B, C, and D enter into trade; A started business with £500; after 2 months B and C joined him, B con. tributing £700, and C £650 : after two months more D joined with a capital of £800. One year after A had started the business, they had gained £932. 88. : what was the share of each ? 10. Find by Practice the cost of 5 tons 12 cwt. 2 qrs. 14 lb. at £1. 68. 8d. per ton. 11. One clock gains 4 minutes in 12 hours and another loses 4 minutes in 24 hours. They are set right at noon on Sunday. Determine the time indicated by each clock, when the one appears to have gained 164 minutes on the other. 12. A dealer purchases a liquid at 88. a gallon and dilutes it with so much water that when he sells the compound at 68. a gallon, he gains 20 per cent. on his outlay. How much water is there in every gallon of the compound sold ? XIX. TRINITY TERM, 1906. 1. Reduce fifty million farthings to pounds, shillings, and pence. 2. Find the value of 6 tons 6 qrs. 10 lb. at £3. 158. 10d. per cwt. 3. Multiply .009207 by 6.056 and divide 35.625 by .00125. 4. Simplify: (1) + 1 + 1 + I; 3.7 – 1.5 3.7 + 1.5 3.72 +.38 |