25. Multiply 4628 by 41 at one operation, (or one line) and tell the product with 6 figures exclusive of the factors. Ans. 189748.

26. A trader having increased his estate annually 10 per cent., for 7 years, at compound interest, finds himself worth $19487.171-what was his capital at the commencement of the term? Ans. $10000.

27. A hare has 50 of its own leaps the start of a greyhound, and takes 4 leaps while the hound takes 3; but the hound goes as far at 2 leaps as the hare does at 3-how many leaps will the hound take to catch the hare?

Ans. 300. 28. Two persons comparing their ages, find them, at present, in the ratio of 7 to 5, but that 30 years ago they were as 2 to 1-what is the age of each? Ans. 70 and 50. 29. What is the 4th power of Ans. 16

30. A and B commence trade in company; A advanced at first $500, and B $750; at the end of 4 months A adds $600 to his stock-what sum must B advance at the same time, to entitle him at the end of the year to equal profits with A? Ans. $225. 31. Required the admeasurement of a pile of stone 22.5 feet in length, 8.3 feet in width, and 4 feet in height.

Ans. 30.18, perches. 32. Bought a pipe of wine containing 126 gallons, at 10s. per gallon, but by accident 16 gallons leaked out—at what rate must the remainder be sold per gallon, to gain on the whole prime cost, at the rate of 12 per cent.?

Ans. 12s. 10d. 33. What will 75 chests of souchong tea cost, weighing neat 4875lb. at 44 tales per picul; and likewise the amount of the bill in federal money?

Ans. 1608.75 tales=1608 tales, 7 mace, 5 candareens, which equal $2380.95.

34. The great stone wall of China (erected as a barrier against the northern Tartars) is 1500 miles in length, 20 feet in height, and 20 feet in width-I demand the number of perches of stone it contains? Ans. 128000000.

35. The great imperial canal of China is 620 miles in length, 50 feet wide, and 10 feet deep-required the cost of constructing one of the same dimensions, at 9 cents per cubic yard? Ans. $5456000.

36. A and B would barter; A has 150 bushels of wheat at $1.25 per bushel, for which B gives 65 bushels of barley worth 62 cents per bushel, and the balance in oats at 375 mills per bushel-what quantity of oats must A receive from B? Ans. 391 bushels.

37. A man dying left his wife in expectation that a child would be afterwards added to the surviving family; and making his will, ordered, that if the child were a son, of his estate should belong to him, and the remainder to his mother; but if a daughter, the mother was to have, and the child the remainder. But it happened that the addition was both a son and a daughter, by which the widow lost in equity $2400 more than if there had been only a girl.What would have been her dowry had she had only a son? Ans. $2100.

38. What number is that, which, being increased by 2, 3, and of itself, the sum will be 216?

Ans. 90. 39. What number taken from the square of 54, will leave 19 times 46? Ans. 2042. 40. Three towns are so situated, that B lies 80 miles south of A, and C 60 miles west of A-what is the distance betwen B and C? Ans. 100 miles.

41. Extract the 8th root of 1785793904896. Ans. 34. 42. What is the difference in time, of the sun's coming to the meridian of two places, whose difference of longitude is 31° 27' 30", the sun passing through 15° in an hour? Ans. 2h. 5′ 50′′.

43. What is a freehold estate of $600 per annum, to continue for ever, worth in ready money, allowing 6 per cent. to the purchaser? Ans. $10000.

44. Required the quantity of stone in a well 20 feet 3 inches deep, the wall 1 foot 3 inches, and 3 feet 6 inches in the clear. Ans. 15.267+ perches. 45. Required the square of 999, and the work to contain but fifteen figures. Ans. 998001. 46. Reduce £125 10s. Canada currency, to federal money.

Ans. $502.

47. Suppose 21 to be a divisor, and 76 the quotientrequired the dividend. Ans. 1596.

48. A tree was broken off by the wind 48 feet from the ground, the part broken off was as long as the part stand

ing-required to know the height of the tree before it was broken.

Ans. 80 feet. 49. Required the value of a bill of exchange, for $1200, at 6 per cent. above par.

Ans. $1272. 50. Reduce 75 piculs, or 7500 cattas of China, to pounds of the United States. Ans. 10000lbs. 51. Sold 55 thousand feet of sap-pine boards, in Jamaica, at £15 per thousand-required the value in federal money. Ans. $2474.

52. If the of 6 be 3, what will the of 20 be?

Ans. 7 or 7.5. 53. The smaller of two numbers is 127, and the difference 198-required the larger number.

Ans. 325.

54. What is the difference between thrice five and thirty, and thrice thirty-five?

Ans. 60. 55. What number is that, which, being multiplied by 15, the product will be or .75?

Ans. 20

56. Required the quantity of stone in a pile 16.5 feet in length, 4.5 feet in width, and 4 feet in height, computed at 16.5 cubic feet per perch. Ans. 18 perches. 57. Required the quantity of potatoes in a bin 10 feet in length, 8 feet in width, and 4.25 feet in height. Ans. 230bu. 2qt.+

58. A master of a shop hires a journeyman on this condition, that he shall have 50 cents a day and his diet, for every day he works, but for every day he does not work, he is to pay the master 25 cents for his diet; on the 30th day they account, but neither of them receives or pays any money-how many days did he work, and how many was he idle? Ans. he worked 10 days, and was idle 20. 59. How much is the freight of a bale that is 7 feet 9 inches in length, 6 feet in breadth, and 3 feet 6 inches thick, at 20 cents per cubic foot? Ans. $32.55.

60. How much is the insurance on $5000, from Philadelphia to New-Orleans, at 1 per cent.? Ans. $75. 61. Required the cubic and square feet in a round log, whose diameter is 2 feet, and length 30 feet.

Ans. 94.+c.ft., and 1131.+ft. of square meas. 62. How many shingles will it require to roof 30 feet in length, and 20 feet in breadth, with shingles that are 5 inches in width, and of such a length as to admit them to be laid 8. inches to the weather? Ans. 2160.

20

54

750

34

$100

405.2 480.0

88889

63. Required the measurement of a board 18 feet in length, and 16 inches in width. Ans. 24 feet. 64. Peter drinks a barrel of beer containing 32 gallons, in 24 days, and Charles, when he goes about it, does it in 16 days-now if they should drink together, in what time will they make an end of it? Ans. 9 days 143 hours.

65. Suppose I lend (at interest) a certain sum of money, at the rate of 8 per cent. per annum, simple interest, and at the end of 10 years I receive for principal and interest $1539—I demand the principal sum lent. Ans. $855. 66. Reduce £225 10s. 6d. sterling, to federal money. Ans. $1002.33. 67. Suppose A, in new-York, owes B, in London, £2000 sterling-required the amount in federal money, and how much can A save, if he buys a bill at 4 per cent. below par. Ans. $8888.888+ and he can save $355.555. 68. Required the interest on $175.25, for 120 days, at 6 per cent. Ans. $3.45,4+ 69. How much is the present worth and discount of $125, payable in 4 months, at 6 per cent. discount?

Ans. $122.549 + present worth; $2.451 discount. 70. Suppose a cask to measure diagonally from the centre of the bung-hole 32 inches-required the contents in gallons. Ans. 89gal. 1pt.+

71. A, B, and C form a joint stock of $4392, by which they gain $234; A's money is in trade 4 months, B's 5 months, and C's 13 months; their shares of the gain are as the numbers 2, 3, and 4, respectively-required the gain and stock of each. A's gain $52; stock $1560. Ans. B's do. 78; 66 1872. C's do. 104; 66

960.

72. Suppose a person to purchase a tier of wood 64 feet long, 4 feet high, and 3 feet 9 inches wide; that is to say, 8 cords that were cut 3 inches too short-required the loss of admeasurement, and the quantity received.

Ans. cord loss; 7 cords received. 73. Suppose a cellar dug 20 feet in length and width, and walled with stone 1.5 feet in thickness, and 8 feet in height. -required the cubic feet of stone, and the number of perches of 24.75 and 16.5 feet per perch, each.

Ans. 888 cubic feet 35.87+perches, and 53.812+ perches of 16 feet per perch.

74. It is said that New-England rum in Philadelphia has risen within a few months, from 32 to 38 cents per gallonrequired the gain per cent. Ans. $18.75. 75. Required the value of a bill of exchange, for $1000,|

at 6 per cent. above par. Ans. $1060. 76. What will the annual rent of $100 amount to, at 6 per cent. compound interest, if forborne 4 years?

Ans. $437.4616. 77. What is a perpetual annuity of $240 per annum, worth in ready money, allowing 6 per cent. to the purchaser? Ans. $4000.

78. Required the number of bricks that are 8 inches in length, and 4 inches in width, to pave a yard hat is 20 feet long, and 10 feet wide.

79. Reduce $756 to sterling or English money.

Ans. 900.

Ans. £170 2s.

80. Required the value of a bill of exchange of $1060, at 6 per cent. below par. Ans. $996.40.

81. A mule and an ass were carrying burthens in company, amounting to some hundred weight: the ass complained of his, and said to the mule, I need only one hundred weight of your load, to make mine twice as heavy as yours. The mule answered, Yes, but if you gave me a hundred weight of yours, I should be loaded three times as much as you would be-how many hundred weight did each carry?. (2.6cwt. the mule's load, 2.2cwt. the ass's load. 82. A boy skated against the wind 8 miles in an hour and 20 minutes; returning with an uniform stroke, having the advantage of an equal wind, he skated back the same distance in 32 minutes-required the force of the wind.

Ans.

{

Ans. 792 feet per minute. 83. How many trees may be planted on an acre, at 6 feet distance. Ans. 1210.

84. Jacob, by contract, was to serve Laban for his two daughters 14 years; and when he had accomplished 11 years, 11 months, 11 weeks, 11 days, 11 hours, and 11 minutes; required how long he had to serve.

Ans. 1y. 11m. 3w. 2d. 12h. 49min. 85. If I give 63 gallons of brandy at 7s. 4d., in barter for 56 gallons of rum, what will the rum cost me per gallon? Ans. 8s. 3d.