Find the number of miles built during each year, begin

11. Multiply 10,500 by 60,600. 12. Multiply 15,010 by 50,080. 13. Multiply 1.01 by 7.07.

14. Multiply 9010.9 by 90.4.

15. A train travels at the rate of 30.25 mi. an hour. How far will it go in 5 hr.?

16. Find the price of 871⁄2 A. of land at $43.75 an acre. 17. Find the price of 4225 bu. of wheat at 841 per bushel.

18. Find the value of .1 x .2 x .3 x .4 × .5 x .6 × .7. 19. Find the value of (1.03)*.

20. The number of bales of cotton produced in Texas in 1901-02 was 2,993,000, and in 1900-01, 3,550,000. Allowing 500 lb. to a bale, how many more pounds of cotton were produced in the latter year than in the former?

DIVISION

21. A steamer's cargo consisted of 120,000 bu. of corn, valued at $57,000; 13,541 bbl. of flour, valued at $ 47,499; 3050 bales of cotton, valued at $158,224. Find the value of a bushel of corn, a barrel of flour, and a bale of cotton. 22. Divide 26.78508 by .072 (not by long division). 23. The annual consumption of sugar in a certain state was, in 1890, 702,201 T., which was found to be 49.93 lb. per head of population. Find the population.

24. Make a column of eight numbers, the first of which is 73,214, the second is of the first, the third is of the second, and so on for the other numbers.

25. How many miles are in 278,784,000 ft.?

26. Divide 1.1252-(.784)2 by 1.125 - .784.

27. Divide (.75)3 — (.26)3 by .75 — .26.

28. Divide 14.302 by 83.92, correct to four places. 29. Divide 24.619 by 56,000.

30. The length of a degree on the earth's surface is approximately 69.15 mi. Two places are on the same merid

ian and 1000 mi. apart.

in latitude.

Find, in degrees, the difference

31. Two places on the 60th parallel of latitude are 300 mi. apart. Find the difference of their longitudes. (1° = 183,085 ft.)

=

32. A bankrupt's liabilities are $47,875; his assets are $38,650. How many cents on the dollar can he pay?

33. The product of two numbers is 642,978, and one of the numbers is 5.67. Find the other number.

34. If the quotient is 24,400, the remainder is 15, and the dividend is 6,100,015, find the divisor.

Χ

35. The total amount of money in circulation in the United States on March 1, 1903, was $2,353,738,834. The per capita circulation in the United States on the same day was $29.41. Find the population of the United States.

36. Divide the square of 1001 by 77 × 169.

37. When 450 lb. of sugar cost $20.25, find the price of 84 lb.

38. Find the value of a rectangular plot of ground 726 yd. long and 240 yd. wide, at $50 an acre.

39. Find, in United States currency, the value of £79. 40. When 1.75 yd. of silk cost $3.85, find the cost of 14 yd.

41. Divide 39.328 by .0032.

42. If.6 of a yard of cloth cost 27, find the cost of 45 yd. 43. Divide 1 by 1.732.

44. Divide the cube of 11.1 by 27 times 1369.

45. What is the ratio of 25 A. to 640 A.?

G. C. M. AND L. C. M.

46. Find the G. C. M. of 288 and 432.

47. Find all the common measures of 36 and 54.

48. Find the common divisors of 288 and 360.

49. Express 1110, 777, and 1001 as the products of prime numbers. Find their L. C. M.

50. Find the G. C. M. of 208, 572, and 1326.

51. Find the L. C. M. of 26, 28, 48, 70, and 117.

52. Find the G. C. M. of 625 and 2525.

53. Find the G. C. M. and L. C. M. of 209, 304, and 380.

54. Find the prime factors of 80,850.

55. Two numbers have for their G. C. M. 101, and for L. C. M. 27,573. Find the product of these numbers.

56. Resolve 61,776 into its prime factors.

57. Two tracts of land, containing 1225 acres and 1675 acres, are divided into farms each containing the same number of acres. What is the largest possible acreage of each farm?

58. Telephone poles are 231 ft. apart. What is the smallest number of poles which will correspond to an exact number of half miles?

FRACTIONS, DECIMALS, AND DENOMINATE NUMBERS

59. Arrange in order of magnitude 4, 7, 1.

60. Find the difference between the greatest and the least of the fractions, §, 17, and 14.

5

16

63. Express as decimals 35, 4, 125.

64. Reduce to common fractions .0375, .0175, .03125.

66. Simplify 2 of 4 — († of 174 of 4 of 14).

67. Reduce 198 ft. to the decimal of 11⁄2 mi.

68. Reduce 2° 30' to the decimal of 90°.

69. Reduce 3 pt. to the decimal of 5 gal.

70. Reduce .375 of 16s. 8d. + of 15s. 6d., to the decimal of £5.

71. Show that if our calendar had 8 leap years in every 33 yr., it would be more correct than it now is.

72. If our calendar were so arranged that 31 leap years would occur in 128 yr., how many years would elapse before the error would amount to 1 da. ?

73. The following distances have been run by trains in the times indicated. Find in each case the rate per hour.

74. Find the value of 25,000 bu. of oats at 46 per bushel.

75. The price of oats in June, 1900, was 261 per bushel, and in August it was 21 per bushel. If a speculator lost $1050 by buying oats at the former price and selling at the latter, how many bushels did he buy?

76. A speculator in Chicago bought 10,000 bu. of corn in February, 1901, at 383 per bushel, and sold it in December, 1901, at 691 per bushel. Find his profit.*

77. The total number of bales of cotton exported from the United States for the season of 1901-1902 was 6,715,793, valued at $284,779,190. Find the average price per bale, correct to the cent.

78. The total number of farms in Alabama is 223,220; the total acreage of these is 20,685,427. Find, correct to two decimal places, the average number of acres to a farm.

* Allow 1 per bushel brokerage for buying and for selling.