26. How many gallons in 41 qt.? In 53 qt.? In 60 pt.? In 120 gi.? In 89 qt.?

27. How many pecks in 48 quarts? How many bushels? 28. Change to larger measures, 100 pt. of milk; 64 qt. of nuts; 84 gi. of oil.

29. What is a six-gallon can of milk worth at 5 cents a quart?

30. I take a pint of milk at night and a quart in the morning. What is my weekly milk-bill at 7 cents a quart?

31. What cost 63 bu. of potatoes at $4 a bushel ?

32. I burn a pint of kerosene every night. What will a 2 weeks' supply cost me at 20 cents a gallon?

33. Bought nuts for $2 a bushel, and sold them for 10 cents a quart. How much did I gain on 5 bushels ?

WEIGHTS.

174. Troy Weights are used in weighing gold, silver, and jewels.

175. Avoirdupois Weights are used in weighing all common articles.

1. The long ton of 2240 avoirdupois pounds is used at customhouses, and in weighing coal at the mines.

2. A pound avoirdupois is equal to 7000 grains, and a pound troy to 5760 grains, so that 144 pounds avoirdupois are equal to 175 pounds troy. A hundred-weight (cwt.) is the same as the cental.

ORAL EXERCISES.

34. In avoirdupois weight, 3 lb. are how many ounces? 5 lb.? 24 lb.? 3 lb. 7 oz.? 2 lb. 9 oz.? 3ğ lb. ? .75 lb.?

35. In avoirdupois weight, 56 oz. are how many pounds? 65 oz.? 27 oz. ? 2500 lb. are how many tons? 4000 lb. ? 7000 lb. ?

36. Change to the next larger troy weight, 35 oz.; 75 oz.; 60 pwt.; 84 pwt.; 48 gr.; 30 gr.; 100 oz.

37. Change to the next smaller troy weight, 3 lb.; 21⁄2 lb. ; 4 lb. 7 oz.; 6 oz.; 5 oz.; 2 pwt.; 24 pwt.; lb.; # oz.; pwt.; 0.6 lb.; 0.8 oz.

;

38. What cost 2 lb. 4 oz. of butter at 32 cents a pound? 39. What can I get for 7 pwt. of old silver at $1.10 an oz.?

40. How much hay at $25 a ton can be bought for $ 55 ? 41. If 200 lb. can be packed in a barrel, how many barrels will be needed to pack 2 T. 8 ctl.?

1. The Civil Day begins and ends at 12 o'clock, midnight.

2. The Calendar Months, and the number of days in each, are,

3. The Solar Year is 365 d. 5 h. 48 min. 49.7 sec., or very nearly 365 days. The fraction in 4 years amounts to nearly a day. Hence,

When the number of any year is divisible by 4 and not by 100, and when it is divisible by 400, the month of February has 29 days, and the year is called a leap year.

ORAL EXERCISES.

42. How many minutes in 2 h.? In 3 h.? In 3 h.? In 3 h. 20 min. ?

43. How many hours in 210 min.? In 3 d.? In wk.? 44. How many days in 96 h. ? In 60 h.?

45. How many minutes from 10.25 A. M. to 11.45 A. M.? From 11.50 A. м to 1.35 P. M.?

46. What part of a minute is 42 sec.? What part of an hour is 48 min. ?

47. How many days from Mar. 31 to May 31? From June 7 to July 15? From Oct. 19 to Nov. 12?

48. How old is a child on July 4, 1883, who was born May 31, 1880 ?

49. If a three weeks' vacation begins June 21, when does it end? If it ends Oct. 9, when does it begin?

50. What day was 25 days before Mar. 4, 1880? Sixty days after?

51. How long from Thursday noon to 4.30 P. M. of Friday? 52. How long is the night when the sun sets at 7.35 and rises at 4.30 ?

53. Name the next six leap years.

54. What century is this? In what century did 1620 come?

ARC AND ANGLE MEASURES.

177. A Circle is a plane surface bounded by a curve, all points of which are equally distant from a point within called the center.

The circumference of a circle is its boundary line.

An arc of a circle is any part of

the circumference; as A Cor D B.

The diameter of a circle is a straight line drawn through its center, and terminated by the circumference; as A B. The radius of a circle is half its diameter; as A E or E D. 178. A Degree is 30 of any circumference.

179. An Angle whose vertex is the center of a circle is measured by the arc between its sides.

Thus, the arc A C measures the angle A E C.

1. A degree of the earth's equator contains 69.16 miles, or about 691 miles.

2. A sign is an arc of 30°; as DB. A sextant is an arc of 60°; as DC. A quadrant is an arc of 90°; as A C. A semi-circumference is an arc of 180°; as A CB. A right angle is an angle of 90°; as A E C.

NOTE. The earth, by turning on its axis once in 24 hours, causes of 360°, or 15°, of longitude to pass under the sun, from east to west, in 1 hour's time.

ORAL EXERCISES.

55. How many degrees in 2 right angles?

angles?

56. How many

minutes in 31°? In °?

In 4 right

57. In 195' how many degrees? In 360'?

58. How many signs in a quadrant? Draw an angle of 45°; another of 75°.

59. How many degrees does the minute-hand of a clock move in 3 hours? The hour-hand?

60. How many degrees does the minute-hand of a watch move in 3 hours?

61. How many degrees in half a meridian circle? How many miles in one such degree?

62. How many pencils in a gross ? How many score?

63. What cost 15 doz. pens at $1 a gross ?

64. How many sheets in a ream? In ream?

65. What will 72 sheets cost at 15 cts. a quire?

66. If I buy paper at 20 cents a quire, and sell for a cent a sheet, how much do I gain on a ream?

67. Name some articles that are sold by the gross? By the dozen?

68. How much will a great gross of tacks cost at 10 cents a paper

?

69. Bought 3 gross of pens at $1.50 a gross, and sold them for 2 cents each; how much did I gain?