3. Reduce 52 yards of Irish linen to nails. Ans. 832 nails. 4. Bring 832 nails to yards. Ans. 52 yards. 5. How many shirts, of 2 yards 3 quarters each, can be taken out of a piece of Irish linen, containing 52 yards 1 quarter ? Ans. 19 shirts. Ô. In 19 shirts, each 2 yards 3 quarters, how many yards? Ans. 52 yards 1 quarter. 7. In 4 pieces of muslin, each measuring 46 yards, how many ells English ? Ans. 147 ells, and 1 qr. over. 8. In 416 ells Flemish, how many yards ? Ans. 312 yards. 9. In 846 nails, how many ells French? Ans. 35 ells 1 qr. 2 na. LONG MEASURE. 1. Reduce 49 yards to feet. Ans. 147 feet. 2. Reduce 64 miles 2 furlongs to furlongs. Ans. 514 furlongs. 3. Bring 514 furlongs to miles. Ans. 64 miles 2 furlongs. 4. Reduce 24 miles 7 furlongs 30 perches 2 yards í foot 8 inches, to barleycorns. Ans. 4746336 barleycorns. DRY MEASURE. 1. Reduce 742 bushels 2 pecks to pecks. Ans. 2970 pecks. 2. Bring 2970 pecks to bushels. Ans. 742 bushels 2 pecks. S. Reduce 49 bushels 3 pecks 5 quarts, to quarts. Ans. 1597 quarts. 4. Bring 1597 quarts to bushels. Ans. 49 bushels 3 pecks 5 quarts. 5. Reduce 64 bushels 3 pecks 1 gallon, to quarts. Ans. 2076 quarts. 6. Bring 2076 quarts to bushels. Ans. 64 bushels 3 pecks 1 gallon. LIQUID MEASURE. 1. In 9 tuns of wine, how many hogsheads, gallons and quarts? Ans. 36 hhds. 2268 gal, 9072 qts. Bring 9072 quarts to gallons, hogsheads and tuns. Ans. 2268 gal. 36 hhds. 9 tuns. 3. Reduce 24 hhds. 18 gal. 1 qt. to pints. Ans. 12242 pintsi 4. Bring 12242 pints to hogsheads. Ans. 24 hhds. 18 gal. 1 qt. 5. How many pints, quarts, and half gallons, each an equal number, can be taken out of a pipe of wine? Ans. 1 gross, or 144. 6. How many bottles, containing a pint and a half each, can be taken out of a barrel of cider** Ans. 168 bottles. LAND MEASURE. 1. Reduce 341 acres 3 roods 25 poles, to poles. Ans. 54705 poles. 2. Bring 54705 poles to acres. Ans. 341 a. Sr. 25 p. 3. If a piece of land contains 94 acres, and I want to sell 24 acres 2 roods 20 perches, how many square perches will remain ? Ans. "11100 perches. 4. Three fields contain, the first, 8 acres, the second, 7 acres, and the third, 14 acres 1 rood. How many shares *can be taken out of it, 76 poles each share ? Ans. 61 shares, and 44 roods over. SOLID MEASURE. 1. Reduce 14 tons of hewn timber to inches. Ans. 1209600 inches. 2. Bring 1209600 inches of hewn timber to tons. Ans. 14 tons. 3. Reduce 19 tons of round timber to inches. Ans. 1313280 inches. 4. Bring 1313280 inches of round timber to tons. Ans. 19 tons. 5. Reduce 20 cords of wood to solid feet. Ans. 2560 feet. 6. Bring 2560 solid feet to cords. Ans. 20 cords. 7. How many solid feet in a grindstone, 4 feet in diame. ter, and 18 inches thick it Ans. 18 feet. 8. How many solid feet in a millstone that is 5 feet in diameter, and 22 inches thick? Ans. 34 ft. 648 inc. TIME. 1. Reduce 6 hours to minutes. Ans. 360 minutes. 2. In 7 days how many minutes ? Ans. 10080 min. A barrel of cider is 32 gallons. t For mill or grindstones, to the given diameter add half that diameter, and multiply that sum by the said half diameter, and multiply that product by the thickness, and that product, divided by 1728, will give the contents in feet; and if there be a remainder, it will be inches. E 3. In 41 weeks how many seconds ? Ans. 24796800 seconds. 4. In 24796800 seconds, how many hours ? Ans. 6888 hours. 5. In 184009 minutes, how many days? Ans. 127 days 18 hours 49 minutes. 6. In 127 days 18 hours 49 minutes, how many minutes? Ans. 184009 minutes. 7. How many seconds in a year, allowing the year to consist of 365 days 6 hours. Ans. 31557600 seconds. 8. From March 2nd, to November 19th following, inclusive, how many days? Ans. 262 days. 9. How many weeks in 262 days? Ans. 37 weeks 3 days. 10. How many seconds in a week? Ans. 604800 seconds. a CIRCULAR MOTION. 1. Reduce 7 signs 15° 24' 40" to seconds. Ans. 811480 seconds. 2. Bring 811480 min. to degrees. Ans. 13524° 40' 3. In 974527 ininutes, how many degrees and signs? Ans. 16238° 47' and 541 signs 8° 47' Questions to exercise the foregoing. 1. Bought 320 bushels of oats for 80 dollars; what did the oats stand me a bushel ? Ans. 25 cents. 2. Lent my friend 3964 dollars, and received from him, at one time, 200 dolls. 624 cts. at another time, 409 dolls. 18 cts. and at a third time, 514 dolls. 87} cts, and a draft on the bank for the balance. How much was the draft drawn for? Ans. 2839 dolls. 313 cts. 3. Paid in one week the following sums of money: For corn, 96 dolls. 75 cts. for wheat, uz dolls. 12} cts. for flour, 62 dollars 37 cents, and for sundry small articles, 2 eagles 3 dimes 5 mills. How much did I pay in all ? Ans. 291 dolls. 551 cts. 4. Bought 8 cows for 7 dolls. 75 cts. each; paid for pasturing them, 1 dollar 64 cents a head, and for corn, 5 dollars 184 cents; and then sold them at 11 dollars 3 dimes apiece. How much did they stand me, and how much did I receive for them, and what did I gain by the transaction : Stood me 875 68 cts. Ans. I received 90.40 I gained 14 711 { a 5. If I spend 3 dimes 5 mills a day, for pocket expenses, and drink a bottle of wine each day, which costs 934 cents a bottle, and lay out, for house expenses, 2 dollars 64 cents each day, how much are my expenses at the end of a year? Ans. 1209 dolls. 64 cts. 6. Sold 15 pieces of cloth to a French merchant, each piece containing 20 yards. How many ells French were in the 15 pieces ? Ans. 200 ells. 7. In 10 bales of cloth, each bale 12 pieces, and in each piece 25 ells Flemish, how many yards?' Ans. 2250 yds. 8. The sun travels through six signs of the zodiac in six months; how many degrees, minutes and seconds, is that? Ans. 180 deg. 10800 min. 648000 sec. 9. Bought 4 loads of hay, weight as follows: First load weighed 9cwt. 3 qrs. 6 lbs. the second, 8cwt. 1 qr. 14 lbs. the third, 7 cwt. 3 qrs. 22 lbs. and the fourth, 8 cwt. 1 qr. 14 lbs. for 2 dolls. 3 dim. 7 cts. 5 m. a load. What is the whole weight of hay, and what is the amount? Ans. 1 ton 14 cwt. 2 qrs. and cost 9 dolls. 50 cts. 10. Sold 200 pairs of men's shoes for 225 dolls. and 150 pairs of women's shoes for 131 dolls. 2 dim. 5 cts. and 100 pairs of boys' shoes for 6 eagles 250 cents. What was the price of the men's, women's, and boys' shoes a pair? Men's cost $125 cts. a pair. Boys' cost 11. How many times will a ship, that is 97 feet 6 inches long, sail her length, in the distance of 12800 leagues 10 yards! Ans. 2079508 times. 12. The sun is 95 millions of miles from the earth; and a cannon-ball, at its first discharge, flies about a mile in 75 seconds. How long would a cannon-ball be, at that rate, in flying from the sun Ans. 22 yrs. 216 da. 12 hrs. 40 min. 13. How many strokes does a regular clock strike in a Ans. 56940. 14. How long will it take to count a million, at fifty a minute ? Ans. 13 da. 21 hrs. 20 min. 15. What is the difference between six dozen dozen, and half a dozen dozen? Ans. 792. 16. The forewheels of a wagon are 14 feet 6 inches, and the hinder wheels 15 feet 9 inches in circumference. How many more times will the forewheels turn round, than the hindwheels, in running 248 iniles ? Ans. 7167 times. 17. Four merchants put into the bank, the sum of 14884 dollars 75 cents; how much did each put in ? Ans. 3721 dolls. 18 cts. 021 year? 18. A merchant bought 4 hhds. of tobacco, which weighed in all, 35cwt. 3 qrs. at 5 cts. per pound. Sorting and packing stood him 5 mills a pound, and carriage to Baltimore, 2 cents 5 mills a pound. How much does the tobacco stand in all, and how much per pound? Ans. 320 dolls. 32 cts. in all, and 8 cts. per Ib. 19. How long would it take a man to travel round the earth, (allowing no obstacles,) at the rate of 25 miles a day, without intermission? Ans. 864 days MECHANICS' AND FARMERS' ARITHMETIC AND ACCOUNTS. MANY there be, who cannot get much education, such as apprentices, and farmers' sons. When I have such under my tuition, I always adopt this arithmetic and accounts, before they get as far as Division, owing entirely to the length of time they are to remain at school. There are many of my scholars in this county, (Guernsey, Ohio,) who never had more than eight weeks ciphering, under my tuition, who can and do keep their accounts, and write promissory notes correctly. Knowing it to be useful and necessary to them, I always practise it, independent of any other dictates, than those of my conscience. The following will exercise the scholar in what he has gone through in part. A Tailor's Account. 66 Mr. RICHARD PAYWELL To John Coyle, Dr. 1827. $ cts. May| 6To making a great coat 4 | 25 17 66. making a suit of clothes for your son 375 27 66 making a surtout for yourself 3933 31 “ making a pair of pantaloons 200 June 1 “ making a body coat 5 175 8 66 making a vest 1 121 “ expended of my own thread and silk 0 50 Due me 8 66 NOTE. Mr. signifies Mister, or Master, and Dr, debtor. The Mr. is generally placed before the debtor's name, and Dr. after the creditor's name. |