Find the Value of (Weights and Measures): 1. 325 of a mile. 2. 29'3814 cwt. ; and of '178 of a mile. 3. (1) 890625 of a bushel; (2) £2'3375; and explain the method in each case. 4. What is the value of 173.25 yds. at 6'75d. per yard? 5. 3875 of a ton; and 903 of 5 days 16 hours 20 minutes. 6. 54 of 3027 of 1 ml. 6 fur. 12 po. Reduction to the Decimal of (Money). 1. Express 2s. 6d. as the decimal of 6s. 8d.; and 41d. as a decimal of 2s. 6d. 2. Express 00375 as the decimals of a shilling and of a penny. 3. What decimals of a pound are 8'4 of a penny, and '4068 of a farthing? 4. Reduce is. 3d. to the decimal of 10s. ; and 13s. 6d. to the decimal of 15s. 6d. 5. What decimal of £2 is 11s. 9 d. ? 6. Reduce £3, 17s. 6d. to the decimal of £5. 7. Reduce £4, 175. 3 d. to the decimal of a guinea. 8. Reduce 35. 3 d. to the decimal of 4s. 5d. 9. Reduce £1, 14s. 9 d. to the decimal of 2 guineas. 10. Reduce 4s. 74d. to the decimal of 25s. ; and 3s. 101d. to the decimal of a guinea. 11. Express 375 of a guinea + of a crown +3 of 7s. 6d. - of 2d. as the decimal of 16s. Reduction to the Decimal of (Weights and Measures). 1. Reduce 3 qrs. 3 nls. to the decimal of an ell. 2. What decimal of 2 yds. is 1 ft. 7 in. ? I 3. Reduce 17 yds. 1 ft. 6 in. to the decimal of a mile. 4. Reduce 3 in. to the decimal of a quarter of a mile. 5. Reduce 2.15 lbs. to the decimal of 1 cwt.; and 24 yds. to the decimal of 1 mile. 6. Reduce of of a mile to the decimal of of % of 3 miles. 7. Reduce 12 hours 55 minutes 231 seconds to the decimal of a day. 8. Express the difference between peck and 0625 of a bushel as the decimal of a quarter. 9. Reduce 7 oz. 4 dwts. to the decimal of 3 nls. to the decimal of an English ell of 5 qrs. 10. Reduce 3 cwt. 2 qrs. 17 2 cwt. 96 lbs. ; and 8 miles 1 2 miles 1600 yds. lb. ; and 2 qrs. lbs. to the decimal of 1 ton fur. 16 p. to the decimal of DECIMAL FRACTIONS (Miscellaneous). 1. Multiply 237'6 by 2'5, and divide the result by 7. 2. Find the product of the sum and difference of 27 and 27. 3. Divide the sum of 763 and 1.2854 by their difference. 4. Divide the sum of 5·05 and 2.605 by their difference. 5. Express the following decimals in words:-47561 and *050025. 6. What number must be added to 7, 7, 07, and 007 in order to make 8? 7. Divide the product of the sum and difference of 6 and 06 by 27. 8. Subtract 852 2534 from 2000, and divide the remainder by 16:38. 9. There are two numbers, of which the larger is 3961, and their sum is 65. Give the product of the two numbers. 10. Divide the sum of 183 and 21065 by the difference between 17.09867 and 25.1. 11. Add together '15, 201246, 1033, and 82'2, and divide the sum by 10'24. 12. The product of two numbers equals 0498552198, and one of them is 13569. Find the other. 13. What number added to 'o007 +24+05 +30436+047 will make an integer ? 14. What decimal multiplied by 125 will give the sum of §, 1, and 2'46 ? 15. Find what decimal multiplied by 175 will give the sum of 1, 18, 3, and 3. of, 123, 43 16. Multiply together the sum and difference of and , and give the answer in a decimal form. 17. What vulgar fraction is equivalent to the sum of 14'4 and 144 divided by their difference? 18. Find the sum, difference, product, and quotient of 96345 and 3. 19. Multiply the sum of 487 and 15.73 by the difference between 249 and 19.852. 20. Reduce *0065. to a decimal, and divide the answer by 21. There are two numbers, of which the larger is 25'398, and their sum is 36'407. What is the product of the two numbers? 22. Multiply 3076 by 1'072, and divide the product by *008. 23. Divide 26'47514 by 3'49; and reduce 536 to a vulgar fraction. 24. How many times is 6'3 of 2007 contained in 375 of 74679215625? 25. There is a number which, when multiplied by '032, and the product divided by 00016, produces 851. Find it. 26. What number divided by 125 will give the product of IIX I'IX '001 I? Prove the truth of each step by vulgar fractions. 18 27. Find the value of 3+4+11+30% by vulgar fractions and by decimals, and show that the two results coincide. 28. Add together,,, and, both as vulgar fractions and as decimals, and show that the two results coincide. 29. Find the least fraction which is to be added to the sum of 25'7, 8.389, and 23.056, to make the result a whole number. 30. Divide 1080 by oo8, and 084035 by 34'3, and find the difference between the two results. 31. Multiply 40'7 by 0012; and find the value of 05625 of a £. 32. Divide 75 of 13s. 6d. by '9. 33. From 3.285 of 16s. 5d. take 13 of 17s. 6d. 34. Find the difference between 875 of 10s. 6d. and 785 of 13s. 4d. 35. Multiply 1 cwt. 2 qrs. 3 lbs. by 5'125; and divide £3834, os. 54d. by 441°75. 36. Subtract cwt. from 4'16525 of a ton. 37. Find the value of 1236 of 2 acres, and reduce the result to the decimal of 3 roods. 38. Find the values of £5675, 375 cwt., and 6875 yds. (cloth measure). 39. Find the value of 333 of £3, 12s. 6d., and reduce the result to the decimal of £35, os. 3 d. 40. Reduce 3 d. to the decimal of 10s., and divide the result by 12.5. 41. Find the values of (1) 47916 of £1 ; (2) 1469 of a furlong. 42. Find the difference between 2.3125 of 8s. and 18 of £2. 43. Find the value of of 2.625 guineas; and the difference between 26'5 perches and 70 sq. yds. 44. I receive £21'7, £13'21, £15'721, £3.815; and I pay away £9.813, £814, £316. State in s. D. how much I have remaining. 45. If I receive £313, £4125, £51735, and pay away £21375 and £19.265; state in S. D. how much I have remaining. 46. Express 6.72 ozs. as the decimal of 2 cwt.; and of 3s. 4d. as the decimal of £100. 47. What is the value of a silver teapot weighing 34.625 ozs., at 12.5s. per oz. 48. Find the value of 5875 of a pound + 3.28 crowns-375 of a shilling. 49. Multiply £3, 75. 24d. by 5.68; and divide £441, 18s. 7.32d. by 8:36. 50. Find the value of 38671875 of a cwt.; and reduce 44d. to the decimal of half-a-crown. 51. (a) Find the value of 4'4 of a guinea-3'75 of half-acrown+£416-3571428 of a guinea. (b) If 1 oz. avoirdupois cost £03125, what will 0625 lbs. cost? 52. If, by selling a pig for 10s. 6d., 3 of its cost price is gained, what decimal part of the cost price would be gained if it be sold for 12s. ? 53. A stack of hay will keep 12 cows or 9 horses for 1 week; what decimal part of a leap year will it keep 10 cows and 6 horses? 54. If a sovereign weighs 123'274 grs., how many sovereigns weigh 10 lbs. 8 ozs. 8 dwts. 5 grs. ? 55. If 26.5 yds. of silk cost £4, 8s. 4d., what will 32:25 yds. cost? 56. A man bought an equal number of calves and sheep for £265; for the calves he gave £375 a head, and for the sheep £2875 a head: how many did he buy of each kind? 57. How many oranges, at £084375 a dozen, ought to be given for 378 eggs at 0625s. each? 58. If a trough 6 in. deep will contain 37.63 gallons, what would be the contents of a trough precisely similar in shape, 20 in. deep? 59. If 6.125 lbs. cost £1, 8s. 7d., what will be the cost of 2 qrs. 17.3125 lbs. ? 60. If 5.25 yds. of calico cost 3s. 8.625d., what will be the cost of 367.5 yds. ? |