35. What is the interest of 200 guineas for 4 years, 7 mo. and 25 days, at 4 per cent.? Ans. 43 £. 19 s. 2 d. 36. If 1000 men, besieged in a town with rations for 5 weeks, allowing 16 ounces per day to each man, be reinforced with 500 men more; and supposing they cannot be relieved till the end of 8 weeks, how many ounces a day must each man have, that the provisions may last that time? Ans. 6 ounces. SECTION XVII. 1. Bought 16 yards, 2 qrs. 3 nails of broadcloth for $100,125; what was that per yard? Ans. 6 dolls. 2. From a piece of cloth containing 363 yards, a merchant sold at one time 73 yards, and at another time, 12ğ yards; how much of the cloth had he left? Ans. 167. yds. 3. A farmer bought 7 yards of broadcloth for 81 £., a barrel of flour for 2 £., a cask of lime for 18 £., and 7 lbs. of rice for £.; he paid 1 ton of hay at 3 £., 1 cow at 6 £., and a balance in pork at £., per lb.; how much pork did he sell? Ans. 104 lbs. 4. What is the greatest common divisor of 35 and 100? 5. Multiply 49561776 by 20000. 6. Divide 49561776 by 5137. Ans. 5. Ans.991235520000. 7. What is the area of a parallelogram, of which one side is 13 rods, and the perpendicular 9 rods? Ans. 117 square rods. 8. What is the area of a triangular field, of which one side is 28 rods, and the perpendicular 15 rods? Ans. 210 square rods, or 1 acre and 50 rods. 9. How many cubic feet of water will a round cistern hold which is 3 feet in diameter at the bottom, 4 feet at the top, and 5 feet high? Ans. 48.433 feet. 10. What is the amount of .5—.05—.005-555-18765 and 8567? Ans. 8567.29765. 11. If 6 yards of cloth cost $53; what will 14 yds. cost? Ans. $1333. 12. What will be the amount of $700 for 5 years, compound interest? Ans. $936.7571%+. 13. What will be the amount of $700 for 5 years simple interest? Ans. $910. 14. Add £. s. and 4 d. together. Ans. 2 s. 86 d. 15. A bridge built across a river in 6 months by 45 men, 105 was washed away by a freshet; how many men will be sufficient to build another of twice the value in 4 months? Ans. 135 men. 16. What is the square root of 998001 ? Ans. 999. 17. There are two globes; 1 of them is one foot in diameter-and the other 40 feet in diameter; how many of the -smaller globes would it take to make one of the larger? Ans. Ans. 64000. 18. There is a cubic box, one side of which is 3 feet; how many solid feet does it contain? Ans. 27 feet. 19. What is the cube of 25? 20. In a pile of wood 126 feet in length, 3 feet 9 inches wide, and 4 feet 3 inches high; how many cords? Ans. 21 cords 7% of a cord. Ans. 234.9925. 21. From 480 take 245.0075. 22. If a piece of land, 40 rods in length and 4 in breadth, make an acre, how wide must it be when it is but 25 rods long? Ans. 62 rods. 23. A man bought 25 horses, agreeing to pay for them one cent for every different order in which they could all be placed; how much did the horses cost him? Ans. $155112100433309859840000. 24. A, B and C, talking of their ages, B said his age was once and a half the age of A, and C said his age was twice and one tenth the age of both, and that the sum of their ages was 93; what was the age of each? Ans. A 12 yrs.-B 18 yrs.--C 63 yrs. old. 25. In 8012131 grains, how many pounds? &c. Ans. 1390 lbs. 11 oz. 18 pwts. 19 grs. 26. What cost 6 lbs. of butter at 92 d. per lb. ? 27. Divide 705 lbs. 10 s. 2 d. by 7. Ans. 4 s. 9 d. Ans. 100 lbs. 15 s. 82 d. 28. Reduce .21 pint to the decimal of a peck. Ans. .013125 peck. 29. Multiply 4 feet, 7 inches, by 9 feet 6 in. Ans. 43 feet, 6 inches. 30. If the extremes be 10 and 70, and the number of terms 21; what is the common difference, and the sum of the series? Ans. com. diff. is 3, and the sum 840. 31. What is the cube root of 23887872? Ans. 288. What is necessary in order to obtain the true answer to the 17th question? 32. In 109 £. 3 s. 8 d. how many dollars and cents? 33. What is the interest of $1600 for 1 34. What will 126 yards of tape cost at Ans. $363.94. 35. If 120 lbs. of iron cost 7 £; how must I sell it per pound to gain 15 per cent? Ans. 1 s. 4 d. per lb. 36. A and B cleared in an adventure at sea 45 guineas, which was 35 £. per cent. upon the money advanced, and with which they agreed to buy a horse and carriage, whereof they were to have the use in proportion to the sums adventured, which was found to be 11 to A, as often as 8 to B; what money did each adventure ? 1 19 d. Ans. A 104 £. 4 s. 21g d.—B 75 £. 15 s. 9 37. Divide 37895429 by 112. Ans. 338352,iz. 38. Reduce and to the least common denominator. Ans. § and §. 39. At $ a pound, what will 40 pounds of sugar cost? Ans. $21. 40. Three men hire a pasture for $48; A puts in 80 cows for 4 months, B 60 cows for two months, and C 72 cows for 5 months; what part of the rent must each man pay? A's $19.20. 41. Involve to the 2nd power. 42. What is the square root of ? { 7.20. Ans. B's C's 21.61. SECTION XVIII. 1. How much in length, that is 84 inches broad, will make a square foot? 2. From £. take shill. Ans. 16 inches. 3. From of a league take of a mile. 4. In 12 tons 15 cwt. 1 qr. 19 lbs. drachms? 6 oz. 12 dr. how Ans. 7323500. 5. A and B barter; A has 150 bushels of wheat at $1.25 per bushel, for which B gives 65 bushels of barley, worth 62 cts. per bushel, and the balance in oats at 37 cts. per bushel; what quantity of oats must A receive from B? Ans. 391 bushels. Ans. . 6. Multiply 5 by . 7. If my income be $1750 a year, and I spend 19 s. 7 d. per day, how much shall I have saved at the end of the year? Ans. 167 £. 12 s. 1 d. Ans. 2. 8. Let the extremes be 3 and 39, and the sum 399; what is the common difference? 9. What will a pension of 75 dollars per annum, payable yearly, amount to in 9 years, at 5 per cent. compound interest? Ans. $826.992. Ans. 5465. 10. If the first term be 5, the ratio 3, and the number of terms 7; what is the sum of the series? 11. What is the cube of 4.39 ? 12. What is the square of 15.3? Ans. 84.604519. 13. There are 320 rods in a mile; how many rods from Andover to Boston, considering the distance 20 miles? Ans. 6560 rods. 14. How many feet in the above answer? Ans. 108240 feet. 15. In 108240 feet, how many miles? Ans. 20 miles. 16. A put in for 2 of a year, B for of a year, and C the rest for one year; their joint stock was 1, and their gain 1; what is each one's share? Ans. A's = C's= = 24. 17. The number of inhabitants on the globe is computed to be 750000000; suppose they had each counted one for every second from the creation to this time, or 6000 years of 365 days each; how many would they have counted? Ans. 141912000 billions. 18. Divide 73146085 by 4. Ans. 182865214. 19. What will 120 days' wages amount to, at 5 s. 9 d. per day? Ans. 34 £ 10 s. 20. Reduce 127 to an improper fraction. Ans. 21. Reduce £. to the fraction of a penny. Ans. 32 d. 22. How many yards of paper that is 30 inches wide, will hang a room that is 20 yards in circuit and 9 feet high? Ans. 72 yds. 23. A debt can be paid in a year, by paying 1 shill. the first week, 3 shill. the next, and so on, always 2 shill. more every week; what is the debt, and what will the last payment be? The debt is 135 £. 4 s. Ans. The last payment will be 5£. 3 s. 24. Four persons, W, X, Y, and Z, spend among them 25 shill. and agree that their shares shall be in proportion as, 3, 4, and ; what are their shares? W must pay 9 s. X Ans. 25. What is the square of 230? 8d. 347q. 5 359 28. What is the cube root of 230? 29. If 27 shill. be the wages of 4 men will be the wages of 14 men for 10 days? 30. Reduce 192 to a decimal fraction. 31. Divide by 3. 32. Multiply by §. Ans. 6.1269+. for 7 days, what Ans. 6 £. 15 s. Ans. .031350. 33. What is the sum of of a pound, of a shill, and of a penny? 34. Reduce &c. Ans. 3 shill. shill. to the fraction of shillings, pence, Ans. 3 s. 1 d. 19 q. 35. Having melted together 7 oz. of gold of 22 carats fine, 12 oz. of 21 carats fine, and 17 oz. of 19 carats fine, I would know the fineness of the composition? Ans. 204 carats fine. 36. Find two arithmetical means between 2 and 8. Ans. 4 and 6. SECTION XIX. 1. What is the interest of 715 £. 12 s. 6 d. for a year, at 41 per cent. per annum ? Ans. 32 £. 4 shill. 2. How many days can 7 persons be placed in a different position at dinner? 66 Ans. 5040. 3. A son asking his father how old he was, received this answer: Your age is now one third of mine; but five years ago, your age was only one fourth of mine;" what were the two ages? 4. Multiply 683456000 by 5. Multiply 168416000 by 6. Divide 10369 by 2. 7. Divide 1468325000 by . Ans. 15 and 45. |