ANSWERS OMITTED IN PAGES 33, 40, 41, 43, 46. 255 (1) £249. 7s. 21d. (3) 196yds. 6in. Page 40. COMPOUND ADDITION. Article (60). (2) 120cwt. 2qrs. 6lbs. 2oz. (4) 245gals. (5) 224wks. 2 days, 2hrs. 10min. (7) 58oz. 1dr. 1scr. 3grs. (8) 105yds. 2qrs. 2nls. (10) 585ac. 3ro. 25po. Page 41. COMPOUND SUBTRACTION. Article (61). (1) £72. Os. 101d. (2) 31 tons, 16cwt. 26lbs. 8oz. 12drs. (3) 198lea. 2mi. 1fur. 28po. (4) 99gals. 1 pt. (5) 19 days, 17hrs. 27min. 39sec. (6) 66lbs. 10oz. 16dwts. 23grs. (7) 15lbs. 10oz. 7drs. 12grs. (8) 16ac. 37po. (9) 1 tun, 2hhds. 30gals. 4pts. (10) 34qrs. 4bush. 1pk. 1gal. Page 43. COMPOUND MULTIPLICATION. Article (62). (1) £1791. 3s. 2 d., and £3224. 1s. 9 d. (2) 349cwt. 21lbs., and 548cwt. 2qrs. 25lbs. (4) 471gals., and 706gals. 2qts. (5) 128wks. 3 days, 23hrs. 6min., and 171wks. 2 days, 22hrs. 48min. Page 46. COMPOUND DIVISION. Article (63). Page 46. COMPOUND DIVISION. Article (63). (5) 4wks. 4 days, 6hrs. 30min., and 3wks. 3 days, 4hrs. 52min. 30sec. (6) 67qrs. 1bush. 3pks. 1gal. (7) 1wk. 6 days, 5hrs. 43min. 37sec. Page 65. VULGAR FRACTIONS. Article (78). (17) The first is the least, and the second is the greatest. Page 108. DECIMALS. Articles (108), (109), (110), (111). (1) 1.54. 24.079. 315.00805. (2) 745.7961. 4009. (3) 538.6422021. (4) 27.849. 7040.322. 31.580901. (5) 1.0473. 3.021975. (6) .40926. .04032. 9. .7777. (7) 100.17484. 21.983472. .000123123. (8) 20.796875. .026649. (9) 5.12. .427. 2.417. .24172. (10) 6.268 &c. 17404.278 &c. .00261 &c. APPENDIX II. MISCELLANEOUS QUESTIONS. I. 1. MULTIPLY 39027 by 473, and divide 7715625 by 625 : and explain clearly the reason of each process. 2. Find the greatest common measure of 54668 and 127774, and the least common multiple of 21, 27, 36, and 45. 3. How many revolutions will a wheel of 9 ft. 2 in. in circumference make in 11 miles ? 4. At the rate of 5s. 9 d. in the pound, how much will be paid by a bankrupt who owes £1000? 5. State and prove the rules for the multiplication and division of fractions by means of and §. 6. How much stock can be purchased by the transfer of £800 stock from the 3 per cents. at 96, to the 4 per cents. at 120 and the income? 7. How many guineas, sovereigns, half-crowns, and shillings, and of each an equal number, are there in £445? 8. If by paying down £983, I receive £3 a year, what income shall I obtain from £2370? 9. Find the simple interest and amount of £691 15s. in 15 years at 4 per cent. per annum. 10. Required the compound interest of £1500 in 3 years at 5 per cent. 11. Explain the notation and numeration of decimals, and point out the advantages obtained by them in the arithmetical operations on fractional quantities. 12. Find the value of 3.375 tons-5.015625 cwts.+3.1875 qrs.-15.93359375 lbs. and express the result as the decimal of 25 lbs. : II. 1. DIVIDE 550974 by 1472: find the quotient and remainder. 2. If 1 lb. avoirdupois be equivalent to 7000 grains troy, and 1869 sovereigns weigh 40 lbs. troy, how many sovereigns will weigh 1 oz. avoirdupois? 3. In what time will a man travel over 2500 versts at the rate of 10 miles an hour, three versts being equal to two miles? 4. A garrison of 4000 men has provisions for 51 months: how long will the provisions last if the garrison be reduced to 3000 men? 5. How much money must be invested in the 3 per cents. at 90 to produce an income of £141 a year? 6. If 144 men can dig a trench 40 yds. long, 1 ft. 6 in. wide, and 4 ft. deep, in 3 days of 10 hrs. each: how many men would be required to dig a trench 60 yds. long, 5 ft. deep, and 2 ft. 3 in. wide, in 15 days of 9 hrs. each? 7. How many copies, each containing 20 sheets, require the same quantity of paper as 1000 copies of 18 sheets each? 8. Find the discount on £600 due in 6 months, interest being at the rate of 5 per cent. 9. The length of a rectangular field which contains 2 acres 3 roods, 5 poles, is 151 yds. 9 in.: find its breadth. 10. A grocer buys 1 ton, 1 cwt. 3 qrs. 14 lbs. of sugar for £60, and pays £1 5s. for expenses: at what rate must he sell it per lb. to clear 50 per cent.? 11. Find the equated time of payment of £200 due 14 months hence, and of £300 due 19 months hence? 12. If 16 horses eat 96 bushels of corn in 42 days, in how many days will 7 horses eat 66 bushels ? III. 1. MULTIPLY 753 bush. 3 pks. 1 gal. by 132, and reverse it. 2. If 13 oz. cost 7 d., find the price of 3 tons, 2 cwt. 1 qr. 24 lbs. and prove it. 3. If 10 men reap 10 acres in 2 days; in what time can 14 men reap 70 acres? 4. Simplify 7 of 34 of 4%, and 23-31 +4. 5. Find the least and greatest of the fractions, † and 3, and compare them. 6. Multiply together,,, and 10: find the difference of the products of the first and last and the second and third. 7. Find what fraction 2s. 91d. is of £1 10s. 83d: and how many times of 2s. 6d. is contained in £2 10s. 8. Express 85 decimally, and .109375 as a fraction. 9. Divide 7.831 by 4.7892 to four places of decimals. 10. Express £1 12s. 41d. as the decimal of £7 10s. and reverse it. 11. Find the interest of £712 10s. in 31 years at 21 per cent. simple interest. 12. What is the discount of £591 13s. 4d. in 4 years at 2 per cent.? IV. 1. DIVIDE £503 4s. by £10 9s. 8d. Is the result concrete or abstract? Prove it. 2. If a highland farm be let for £401 11s. 3d.: and the number of acres be 375: find the rent of an acre. 3. If £20 in trade gain £32 in 15 months, what sum will gain £48 in 12 months? 4. Describe the various kinds of Vulgar Fractions. Simplify of 31 of 514. 5. Express 48510 in its lowest terms, and reduce 13, 24, and 35 to a common denominator. 6. Add together 37 and 2413. Find the difference of 513 and 3. Prove them. 7. Multiply of of & by of of, and divide 91 by 151. Give the rules. 8. Add together £, gui. 3s. and d. and find the difference between the sum of the first and last and the sum of the second and third. 9 Express 6d. f. as the fraction of 1s. ; and find the valuc of 276 articles at 2s. 3d. 10. Convert into a decimal, and reverse it. 11. Multiply 7.53 by .0025, and reverse it. 12. Divide .278831 by .00001306, and state the rule. V. 1. WRITE in words 728384569, and in figures seventy-five millions and fifty four. 2. Multiply 384129 by 243, and reverse it as a proof. 3. Find the amount of £1187 10s. in 31 years, at 4 per cent. per annum. 4. Required the sum paid to a broker on £3328 at 33 per cent. 5. Required the compound interest on £1050 in 3 years, at 5 per cent. 6. A person invests £135300 in the 3 per cents. at 90}, find his capital and interest. |