COMPOUND RULES (Money). Subtraction. 1. From ten millions nineteen thousand and three pounds, take six thousand seven hundred and three pounds seven shillings and three halfpence. 2. From six millions thirty thousand and three pounds one shilling, take three hundred and five thousand pounds two shillings and three halfpence. 3. From three millions sixteen thousand and five pounds six shillings, take seven hundred and eight thousand pounds three shillings and eightpence halfpenny. Multiplication. 1. Multiply £584, 11s. 31d. by 123. 2. Multiply £7, 16s. 83d. by 790. 3. Multiply £24, 14s. 71d. by 457. 4 Multiply £59, 16s. 71d. by 670. 5. Multiply £5289, 3s. 11d. by 582. 6. Multiply £55, 12s. 91d. by 533. 7. Multiply £13, 7s. 43d. by 275. 8. Multiply £42, 3s. 61d. by 375. 9. Multiply £8641, 13s. 2d. by 131. 10. Multiply £3, 15s. 6d. by 176. 11. Multiply £5289, 3s. 11d. by 582. 12. Multiply £713, 18s. 71d. by 185. 13. Multiply £2917, 10s. 10d. by 981. 14. Multiply £4320, 16s. 7d. by 262. 15. Multiply £10, 11s. 81d. by 270. 16. Multiply £13, 18s. 54d. by 1924. 17. Find the price of 68 chests of tea at £24, 14s. 71d. per chest. 18. How much will a man earn in 365 days, at 4s. 9åd. per day? 19. If each of 114 persons receives £1, 18s. 61d., what is received by them all? 20. If I spend £2, 7s. 1d. in a day, how much is that in a year of 365 days? 21. Required the price of 279 cwt. at £3, 7s. 10d. per cwt. 22. Find the cost of 120 ounces of silver at 5s. an ounce. 23. Seventy-five labourers mend a road at 18s. 6d. a week each; how much will be required to pay them one week's wages? 24. What sum will purchase an estate of 2120 acres, when the price of each acre is £32, 5s. 6d. ? 25. Required the cost of travelling from one place to another, the distance being 211 miles, at 24d. per mile. 26. Find the value of 213 tons at £4, 18s. 11d. per ton. 27. Find the total value of 99 articles costing £2, 11S. each; 97 costing £1, 16s. 9d. each; 99 costing 17s. 11d. each. 28. If the 'ducat' be worth 4s. 21d., how much in English money did Shylock refuse when he said: 'If every ducat in six thousand ducats were in six parts, and every part a ducat, I would not draw them '? Division. 1. Divide £379, 12s. 24d. by 365. 4. Divide £3,636,504, 10s. 1 d. by 1803. 5. Divide five millions and thirteen pounds (money) by eight. 6. Divide thirteen millions one hundred and six thousand pounds by nine. 7. Divide fourteen million pounds three shillings by eight. 8. The cost of 45 dozen pairs of gloves is £53 8s. 9d.; find the cost of a single pair. 9. If 4 silver salt-cellars, each weighing 3 oz., are worth £3, 19s. 6d., what is their value per ounce? 10. If 19,000 cubic feet of gas cost £5, Is. 4d., what is that per 1000 cubic feet? MISCELLANEOUS EXERCISES ON THE COMPOUND RULES (Money). 1. A merchant bought tea for £259, 19s. 3d., sugar for £192, os. 9d., coffee for £207, 11s. 6d.; what must he sell the whole for to gain of what he paid for them? 2. A ship foundered at sea, having on board specie to the amount of half a million of pounds sterling; of this was saved a chest containing 13,000 sovereigns, one holding 10,000 crowns, and one to the value of £25,000: how much money was lost? 3. Add together £175, 17s. 6d., five hundred guineas, eighty-seven half-crowns, and 1143 fourpenny pieces. 4. An estate is bought for £68,423; the cost per acre is £32, 5s. 6d: find the number of acres. 5. A piano, table, and carpet cost £63, 5s. 6d.; the piano and table cost £54, 14s. 9d., and the table and carpet cost £26, os 4d: find the cost of each. 6. How much is there left out of £150 after paying for 29 sofas at £3, 17s. 9d. each? 7. A tax, levied at the rate of £3, 175. 5d. per house, produces £917, 75. 9d.; how many houses are subject to the tax? 8. Divide £550, 3s. 1d. among four men, six women, and eight children, giving to each man double of a woman, and to each woman triple of a child. 9. If 8 packages of cloth, each consisting of 4 parcels, each parcel of 10 pieces, and each piece of 26 yards, cost £6656, what is the price per yard? 10. How much tea at 5s. 4d. a lb. must be given for 192 lbs. at 3s. 4d. a lb. ? 11. A undertakes to give to a charity 1 guinea for every half-crown B gives. B gives £1, 6s. 8d.; what must A give? 12. How much tea at 3s. 6d. a lb. should be exchanged for half a cwt. of sugar at 44d. a lb.? 13. How many lbs. of coffee, at 2s. 3d. per lb., are of the same value as 127 lbs. of tea at 4s. 101d. per lb.? 14. A rabbit is worth 8d., a hare 3s. 61d.; how many score of rabbits would be equal in value to 13 dozen hares? 15. Commissioned to lay out 1000 guineas at a cattle fair, I bought 17 horses at an average price of 35 guineas each, the same number of ponies at £14, 5s. 5d., and 13 cows at £12, 18s. each; how did my account then stand? 16. The profits of a tradesman average £28, 35. 2d. a week, out of which he pays 5 persons at the rate of 1 guinea, and 3 others at the rate of 17s. 6d. per week; his yearly outgoings for rent, etc., are £361, 11s. 1od. : find his net income per year. 17. If I spend on an average £5, 18s. 81d. per week, and save every year £216, what is my income? 18. How many yards worth 3s. 74d. a yard should be given in exchange for 935 yards worth 18s. 1d. per yard? 19. How much will be left out of 100 sovereigns, after taking away from each of them the smallest gold and the smallest silver and the smallest copper coins in use? 20. If a contractor buys 843 qrs. of wheat for £2248, and 379 qrs. for £823, 10s. 8d., what sum per quarter does a mixture of equal quantities of both cost him? REDUCTION. (a) Money. 1. Reduce fifteen million three thousand and ninety-seven farthings to S. D. 2. Reduce 538,483 halfpence to guineas. 3. Reduce £588 to half-guineas. 4. How many halfpence are there in £67, 19s. 8d.? 5. How many times are 33 farthings contained in £42, 195. 4 d. ? 6. The number of letters paying penny postage in 4 weeks was one million nine hundred and seven thousand three hundred and fourteen; what was the sum paid by them? 7. How many halfpence in £135, 19s. 41d.? 8. Reduce 760 half-crowns to guineas; and 670 half-guineas to half-crowns. 9. Reduce 18,756 fourpenny pieces to crowns; and 3,700 half-crowns to fourpenny pieces. (b) Weights and Measures. 1. Reduce 5 tons 16 cwt. 13 lbs. to ounces. 2. Reduce one million eighty-one thousand and eighty inches to miles. 3. Reduce 3 tons 21 lbs. 12 drams to drams. 4. Reduce three millions three hundred and nineteen thousand cubic inches to cubic yards. 5. The chain for measuring land is 66 ft. long, and divided into 100 links; what is the length of a wall which measures 61,400 links ? 6. There are 201,600 stitches in a pair of stockings; how many hours will it take a girl to knit them, if she can do 160 stitches in 69 seconds? 7. A year being equal to 365 days 6 hrs., find the number of years, etc., in 295,402,374 seconds. 8. Divide 5 yrs. 186 days by 17 hrs. 3 min. 9. How long will an 18 gall. cask of beer last if 4 pints be used daily? 10. Divide 3 tons 2 cwts. I qr. 21 lbs. by 2 qrs. 7 lbs. 11. How often will a wheel 16 feet round revolve in going a mile? 12. How many times is two pecks one gallon of corn contained in fifteen quarters of corn? 13. Light travels 192,000 miles a second; in what time does a ray of light come from the sun to the earth, a distance of ninety-five millions of miles? 14 How many shirts may be made out of 243 yards of cotton, each requiring 3 yards 1 qr. 2 nls. ? |