The working of the following is to be shown up :- (1) Five hundred thousand four hundred and one. to ARITHMETIC (ELEMENTARY). Set to Letter-carriers, &c. £ d. 21 19 8 16 13 64 18 9 11 7 2 82 14 6 43 17 89 12 16 4 63 2 6 4 3 7 24 3 Division £ s. d. 7) 81 3 1} £ s. d. 6) 77 11 41 ARITHMETIC. Set to all Candidates who are required to show a knowledge of "Arithmetic, including Vulgar and Decimal Fractions." (Time allowed, 31 hours. Time occupied from to .) Note to Candidate.-“ You are requested to write your name at the top of each of your papers, to put the number to each question, and to send up the working as well as the answers." Reduction. 1. In 23,221 grains of gold how many pounds, ounces, &c. ? 2. Reduce 2 miles, 1 furlong, 12 poles, 1 foot, 8 inches, to inches. Proportion. 3. Find the income tax on 61501. 10s. at 7d. in the pound. 4. What weight of sugar may be bought for 931. 12s. when the cost of 6 cwt. 2 qrs. is 271. 14s. 8d. ? Practice. 5. Find the value of 6723 pieces of cloth, each piece being worth ll. 6s. 8 d. 6. Find the cost of 4 cwt. 3 qrs. 22 lbs. at 11. 9s. 2d. per cwt. Interest. 7. Find the simple interest on 2911. 13s. 4d. at 3 per cent for 6 years. 8. How much will 35001. amount to in 4 years at 4} per cent compound interest? Fractions. 9. Add together 1, 4, 15, 25. 10. Subtract 57 froin 8. 11. Multiply 9 by :i. 12. Divide Of by 94. Decimals. 13. Add together 301:1306, 96, 6.401302, and 72. 14. Subtract 901.53629 from 30640•48. 15. Multiply 12.403 by •3016. 16. Divide 91.4 by 9020.4 to 4 places of decimals. 17. Divide 4:37 by .0104 to 3 places of decimals. 18. Reduce 1.85 of 3s. 4d. to the decimal of a guinea. Note to Candidate. :-“You are not required to answer any of the following questions; but if you have time (after finishing those on the preceding page) it will be well for you to do as many as you can, selecting the most difficult which you can do." 19. What number, added to 176, 336, 226, , will make the sum total 10? 62 20. If 107 of 1 of 24 of 40 lbs. of beef cost lipd., how many pounds may be bought for ll. 6s. 6d. ? 21. If 3 men can mow 7 acres of grass in 5 days of 9 hours each, in how many days of 8 hours each will 5 men mow 35 acres ? 22. If ?} lbs. of tea cost 128. 9d., what will % of a lb. cost? (Solve by decimals.) 23. How many yards of matting, 4.8 feet broad, will cover a floor that is 27:3 feet long and 20-16 feet broad? 24. Extract the square root of 5 25. Extract the cube root of 134,217,728. 26. At what rate per cent will 13331. 6s. 8d. amount to 18841. 18s. 11d. in 7 years at simple interest ? 27. A person who has 14751. in the 3 per cents at 754 transfers it to the 5 per cents at 110%; what is the alteration in his income? 28. Explain the difference between interest and discount, and find the pre sent worth of 12151. due #years hence at 5 per cent? 29. By selling an article for 91. 10s. the seller loses 5 per cent. on his out lay; what would be his loss or gain per cent if he sold it for 111. 17s, 6d.? 30. If I buy 14 oxen for 1751. 5s. 10d., and sell six of th at 71. 4s. each, for what must the remainder be sold that I may gain 4 per cent on the whole ? Another paper :(Time allowed, 34 hours. Time occupied, from to .) Note to Candidate.—“ You are requested to write your name at the top of each of your papers, put the number to each question, and to send up the working as well as the answers.” Reduction. 1. In 32,391 ounces (avordupois) of sugar how many tons, &c. ? 2. Reduce 3 weeks, 4 days, 5 hours, 54 minutes to seconds. Proportion. 33. Find the income tax on 79801. 10s. at 7d. in the pound. 4. If by working 9 hours a day I can finish a piece of work in 12 weeks, how long shall I take to finish it if I work 8 hours a day? Practice. 5. Find the value of 6913 sheep, each sheep being worth 1l. 133..4}d. 6. Find the cost of 7 cwt. 3 qrs. 203 lbs. at 31. 2s. 5d. per cwt. Interest. 7. Find the simple interest ou 5881. 6s. 8d. at 31 per cent for 5 years.” 8. How much will 5001. amount to in 3 years at 44 per cent cor interest? Fractions. 9. Add together 3, 5, 11, . 10. Subtract 5, from 73. 11. Multiply 11} by 89. 12. Divide 123 by 3. Decimals. 13. Add together 27:03, 452.0091, :37, 1:873592, and 83. 14. Subtract 423.79283 from 1857.23. 15. Multiply 5.0103 by 6.003. 16. Divide 84.5 by 3936•2 to 4 places of decimals. 17. Divide 56-64 by .0107 to 3 places of decimals. 18. Reduce 3.285 of 6s. 8d. to the decimal of a guinea. Note to Candidate.—“You are not required to answer any of the following questions; but if you have time (after finishing those on the preceding page) it will be well for you to do as many as you can, selecting the most difficult which you can do." 19. What number added to 33, 14, 215, 11, will make the sum total 12? 20. If zis of 33, of %, of 5ż, of 22 lbs. of sugar cost 8fd., how much will 1 ton, Il cwt. 3 qrs. cost? 21. If I pay 2s. for 14 lbs. of bread when corn is worth 6s. per bushel, what must I pay for 31} lbs. when corn is at 4s. the bushel ? 22. If 3; lbs. of the cost 15s. 3d., how many pounds can I buy for 41. 3s. 10 d.? (Solve by decimals.) 23. A room is 42 feet long, 28 feet broad, and 12 feet high, what will be the cost of covering the walls with a paper 2 feet 3 inches wide, at 9d. per yard ? 24. Extract the square root of 33.9%. 25. Extract the cube root of 12,167. 26. In what time will 5271. 10s. amount to 6021. 13s. 4fd. at 44 per cent simple interest ? 27. If the 3) per cents be at 91, how much must I invest in them in order to have a yearly income of 9321. after paying 7d. in the pound in come tax ? 28. Explain the difference between interest and discount, and find the pre sent worth of 26741. 6s. due 3 years hence at 43 per cent. 29. A grocer buys 3 cwt. of sugar at 5d. per pound, and 7 cwt. at 6 d.: he sells 5) cwt. at 5{d. per pound, at what rate per pound must he sell the remainder in order to make 50 per cent on his whole outlay? 30. A tobacconist mixes together 80 lbs. of tobacco at 14d. per lb., 100 lbs. at 20d., 60 lbs at 4s. 10d., and 20 lbs, at 2s, 10d. per lb., what will be the value of 3 oz, of this mixture ? ARITHMETIC. Set to Clerks in the Post Office at Dublin, Edinburgh, and London, the Metropolitan Police Courts, the Department of Science and Art, the Board of Trade (Supplementary), the Board of Fisheries (Scotland), the Prisons Department, &c. (Time allowed, 3 hours. Time occupied, from to .) Note to Candidate.—“ You are requested to write your name at the top of your papers, to put the number to each question, and to send up the working as well as the answers." a Reduction. 1. Reduce 3 tons 9 cwts. 2 qrs. 4 lbs. 6 oz. to oz. 2. How many miles, furlongs. &c. are there in 174,082 inches ? 3. How many lbs., oz., &c. are there in 228,908 grains of gold? 4. Reduce 3 acres, 20 poles, to square feet. Proportion. 5. Find the income tax on 7,5301. 14s. 11d. at ]6d, in the pound. 6. If 17 cwt. 3 qrs. 14 lbs. of barley cost 81. 188. 9d., how much may be bought for 51. 12s. 6d.? 7. How much will a creditor lose on a debt of 5,3421. 5s., when a bankrupt can only pay 13s. 6d. in the pound? 8. A man working 64 hours a-day does a piece of work in 6 days; how many hours a day must he work in order to do it in 5 days ? Practice. 9. Find the value of 3,107 sheep, each sheep being worth 11. 14s. 7d. 10. Find the dividend on 3,7621. 10s. at 8s. 23d. in the pound. 11. Find the value of 14 oz. 8 dwt. 20 grs. of gold at 31. 17s. 6d. per oz. 12. What will the painting of a room cost at 2s. 3d. the square yard, whose height is 10 feet, width 15 feet, and length 19 feet? Another paper :(Time allowed, 3 hours. Time occupied, from to .) Note to Candidate.—“ You are requested to write your name at the top of each of your papers, to put the number to each question, and to send up the working as well as the answers." Reduction. 1. Reduce 1 ton, 4 cwts. 3 qrs. 2 lbs. 3 oz. to oz. 2. How many miles, furlongs, &c. are there in 348,164 inches ? 3. How many lbs., oz., &c. are there in 114,454 grains of gold? 4. Reduce 4 acres, 20 poles, to square feet. Proportion. 5. Find the income tax on 6,0301. 14s. 4}d. at 16d. in the pound. 6. If 17 cwt. 3 qrs. 14 lbs. of barley cost 81. 18s. 9d., how much may be bought for 21. 16s. 3d. 7. How much will a creditor lose on a debt of 2,3421. 5s., when a bank rupt can only pay 13s. 6d. in the pound ? 8. A man working 64 hours a-day does a piece of work in 12 days; how many hours a-day must he work in order to do it in 7} days ? Practice. 9. Find the value of 6,214 sheep, each sheep being worth 11. 14s. 7žd. 10. Find the dividend on 3,8541. 10s. at 8s. 2 d. in the pound. 11. Find the value of 16 oz. 6 dwt. 20 grs. of gold at 31. 17s. 6d. per oz. 12. What will the painting of a room cost at 2s. 3d. the square yard, whose height is 15 feet, width 16 feet, and length 18 feet. a |