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Thirty days hath September,
many seconds ?
1. How many seconds in a year of 365da. Chr. ?
OPERATION. We first reduce the days
365 to hours and add in the 6
24 hours. We then multiply
1466 by 60, which brings the
730 whole to minutes, after
8766 hours. which we again multiply
60 by 60, which reduces the number to seconds.
Ans. 31557600 seconds. 2. In 12 years of 365da. 23hr. 57m. 39sec. each, how
Ans. 379467108sec. 3. In 49 weeks, how many minutes ? Ans. 493920.
4. In 126230400 seconds, how many years of 365 days?
OPERATION. We first divide by 60,
610)1262304010 which brings the number
610)21038410 into minutes. We then di. vide again by 60, which
4x6=24 brings it into hours, then
6)8766 by 24, which brings it into
365)146104 days; and lastly, by 365,
1460 which gives the quotient in
Ans. 4 years and 1 day. 93. What are the denominations of time? How long is a year? How many days in a common year? How many days in a Leap year? How many calendar months in a year? Name them, and the number of days in each. How many days has February in the leap year? How do you remember which of the months have 30 days, and which 31?
5. In 756952018 seconds, how many years of 365 days each?
Ans. 24yr. Ida. 26m. 59sec. 6. In 5927040 minutes, how many weeks? Ans. 588.
CIRCULAR MEASURE OR MOTION. 94. Circular measure is used in estimating latitude and longitude, and also in measuring the motions of the heavenly bodies. Every circle is supposed to be divided into 360 equal parts, called degrees. Each degree is divided into 60 minutes, and each minute into 60 seconds.
3600 1= 60
1. Reduce 5s. 29° 25' to minutes. Ans. 10765'. 2. In 2 circles, how many seconds ? Ans. 3. In 32295 minutes, how many circles ?
Ans. lc. 5s. 28° 15'. 4. In 27894 seconds, how many degrees?
Ans. 70 44' 54".
TABLE OF PARTICULARS. 12 things
make 1 dozen. 12 dozen
1 gross. 12 gross, or 144 dozen
1 great gross. 94. For what is circular measure used ? How is every circle supposed to be divided ? Repeat the table.
How many things make a dozen ? How many dozen a gross? How many gross a great gross? How many things make a score ? How many pounds a quintal of fish? How many sheets a quire of paper? How many quires a ream?
A sheet folded in two leaves is called a folio. folded in four leaves
a quarto, or 4to. folded in eight leaves an octavo, or 8vo. folded in twelve leaves
a duodecimo, or
12mo. folded in eighteen leaves an 18mo,
EXAMPLES-FROM A HIGHER TO A LOWER DENOMINATION.
1. How many hours in 344wk. 6da. 17hr. A. 57953. 2. In 6 signs, how many minutes ? Ans. 3. In 15 tons of hewn timber, how many solid inches ?
Ans. 1296000. 4. How many times will a wheel, 16 feet and 6 inches in circumference, turn round in the distance of 84 miles ?
Ans. 26880. 5. What will 28 rods and 129 feet of land cost, at 12 dollars a square foot ?
Ans. $93024. 6. In 5976. 13pwt. 5gr., how many grains ?
Ans. 340147. 7. In £85 88., how many guineas ?
Ans. 81 guineas 78. 8. How many cords are there in a pile of wood that is 36 feet long, 6 feet high, and 4 feet wide ?
Ans. 6 cords, and 6 cord feet. 9. A man has a journey to perform of 288 miles ; supposing him to travel 12 hours each day for 6 days in succession, at what rate must he travel per hour to accomplish it in that time?
When a sheet is folded in two leaves, what is it called? When folded in four leaves ? When folded in eight leaves ? When folded in twelve ? When folded in eighteen?
10. How many yards of carpeting which is one yard in width, will be required to carpet a room 18 feet wide and 20. feet long?
Ans. 40. 11. Reduce 346 Ells Flemish to Ells English.
Ans. 2073 E. E. 12. Suppose the number of inhabitants in the United States to be 12 millions, how long would it take to count them, counting at the rate of 50 a minute ?
Ans. 166 days 16 hours. 13. A merchant wishes to bottle a cask of wine con. taining 63 gallons, into bottles containing one pint each: how many bottlesere necessary ?
Ans. 504. 14. There is a cube, or square piece of wood, 2 feet or 24 inches each way; how many small cubes of one inch each way can be sawed from it, allowing no waste in sawing?
Ans. 13824. 15. A merchant wishes to ship 285 bushels of flaxseed, in casks containing 7 bushels 2 pecks each: what number of casks are required?
Ans. 38. 16. In two leagues, how many inches ? Ans.
17. How many times will a wheel, 10 feet and 6 inches in circumference, turn round in going from New Haven to Hartford, the distance being 34 miles?
Ans. 17097 12
18 times. 18. How many times will a ship, 104 feet and 8 inches long, sail her length in going from New York to China, it being about 12000 miles ? Ans. 605350 times.
19. In 29 pieces of Holland, each containing 36 Ells Flemish, how many nails ?
Ans. 12528. 20. In 3khd. 13gal. 2gt., how many halfpints? 21. In 127. 15cwt. Iqr. 191b. 12dr.,
Ans. 6539276. 22. How many seconds old is a man, who has lived 32 years and 40 days?
Ans. 1013299200. 23. In 24 cords of wood, how many solid inches ?
Ans. 5308416. 24. How many barleycorns will reach round the globe, the circumference being about 25000 miles ? 25. In 583A. 3R. 10P., how many square
rods? Ans. 93410.
26. In 190 yards, how many nails ? Ans.
27. How many seconds from the Declaration of Inde. pendence, July 4th, 1776, to July 4th, 1838 ?
Ans. 1956571200. 28. How much will 3 loads of hay come to at 3 cents a pound, each load weighing 18cwt. 3gr. 2416. ? 29. In 24hhd. 18gals. 2qts. of molasses, how many
Ans. 12244. 30. If you should buy a piece of cloth containing 341yd. 3qr. Ina., how many nails in the piece ?
31. In 197111024 square miles, how many square inches ?
Ans. 791300155893350400. 32. Reduce 18 tons of round timber to cubic inches. 33. Change 24 pipes into gills. Ans. 96768 gills. 34. Reduce 95 barrels of beer to pints. Ans. 35. Change 84 chaldrons of coal to pecks.
Ans. 12096. 36. Suppose your age to be 15yr. 2wk.5da. 13hr. 33m. 48sec., how many seconds old are you? Ans.
37. If a ship has sailed 9ş. 13° 25', how many seconds has she made ?
Ans. 1020300%. 38. How many square feet in 35A. 2R. 24P. ?
39. How many inches, from Hartford to the White Mountains in New Hampshire, the distance being about 241 miles ?
Ans. 15269760. 40. In 302 Ells English, how many yards ?
41. In 24hhd. of sugar, each 11cwt. 251b., how many pounds ?
Ans. 27000. 42. How many grains in 30 pieces of metal, each weighing 9oz. 5pwt.?
Ans. 1133200. 43. What will 12cwt. 4qr. 121b. of sugar cost at 12 cents a pound?
Ans. $157,44. 44. What will 2hhd. 16gal. 3qt. Ipt. of molasses cost at 6 cents a pint ?
Ans. $68,58. 45. In 14 bales of cloth, each 17 pieces, each piece 56 ells Flemish, how many yards, ells English, and ells French ?
Ans. 46. How many pounds, ounces, pennyweights, and grains of gold in 704121 grains ?