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MENTAL EXERCISES.

1. How many pints in 3 quarts? In 4 qt.? In 7 qt.?

2. How many quarts in 8 pints? In 6 pt.? In 10 pt.?

3. How many quarts in 3 gallons? In 4 gal.? In 8 gal.?

4. How many gallons in 16 quarts? In 32 qt.? In 48 qt.?

5. How many pints in 9 quarts? In 12 qt.? In 14 qt.?

6. How many quarts in 7 gallons? In 9 gal.? In 12 gal.?

EXAMPLES FOR PRACTICE.

1. Reduce 12 hhd. 23 gal. 1 qt. to pints.
2. Reduce 100800 pt. to barrels.
3. Reduce 18 bl. to quarts.
4. Reduce 142036 pt. to hogsheads.
5. Reduce 116 bl. 13 gal. to pints.
6. Reduce 17 hhd. 1 gal. to pints.
7. Reduce 450688 pt. to barrels.
8. Reduce 16 hhd. to barrels.

9. Reduce 180 bl. to hogsheads.

10. What is the cost of 3 bl. 16 gal. of ale at 8 cents a pint?

11. What is the cost of 1 hhd. 18 gal. of ale at 7 cents a pint?

12. Find the cost of 87 gal. of milk at 5 cents a pint.

13. What is the cost of 11 bl. of beer at 4 cents a pint?

73. TIME MEASURE.

Time is a measured portion of duration.

TABLE.

60 seconds (sec.) make 1 minute, marked min.

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NOTES.-1. The exact length of the SOLAR year is 365 days, 5 hours, 48 minutes, 48 seconds; but it is usually considered to be 365 days 6 hours, or 365 days. This day in 4 years, amounts to one whole day; therefore, every fourth year, or every year divisible by 4, consists of 366 days, and is called a bissextile, or leap year.

The additional day is added to the month of February, which has 28 days in ordinary years, and 29 days in leap years.

2. For further accuracy, it is determined that of the hundreds of years, or centuries, only those which are divisible by 400 are considered leap years.

3. The year, as divided by civilized nations, consists of 12 calendar months, as follows:

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4. The following will aid in fixing in the mind the number of days in each month:

Thirty days hath September, April, June, and November:
All the rest have thirty-one, save February, which alone
Hath twenty-eight; and one day more we add to it, one year in four.

5. In most business transactions, 30 days are considered a month.

6. The year is divided into four seasons. March, April, and May constitute Spring; June, July, and August, Summer; September, October, and November, Autumn; and December, January, and February, Winter.

MENTAL EXERCISES.

1. How many seconds in 3 minutes? In 5 min.? In 8 min.?

2. How many minutes in 240 seconds? In 360 sec.? In 600 sec.?

3. How many minutes in 4 hours? In 7 hr.? In 9 hr.?

4. How many hours in 180 minutes? In 300 min.? In 480 min.?

5. How many hours in 2 days? In 3 da.? In 5 da.?

6. How many days in 3 weeks? In 5 wk.? In 8 wk.?

7. How many weeks in 56 days? In 49 da.? In 84 da.?

8. How many weeks in 1 month of 30 days?

EXAMPLES FOR PRACTICE.

1. Reduce 3 da. to seconds.

2. Reduce 91800 sec. to days.

3. Reduce 29 da. 7 hr. to minutes.

4. Reduce 1000000 sec. to weeks.

5. Reduce 146080 min. to days.

6. Reduce 1 wk. 3 da. 2 hr. to seconds.

7. Reduce 365 da. to minutes.

8. Reduce 316000420 sec. to weeks.

9. Reduce 1 cen. to minutes.

10. Reduce 14 yr. 1 mo. 23 da. 1 hr. to hours. 11. Reduce 806472 hr. to years.

12. Reduce 1 exact solar year to seconds.

13. How many seconds in the three months, Janu ary, February, and March, of the year 1864?

14. How many minutes in the months of April, May, and June?

15. How many seconds in the month of February, 1860?

74. CIRCULAR MEASURE.

Circular Measure is used in estimating latitude and longitude, and in measuring the motions of the heavenly bodies.

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1. Reduce 2 S. 18° 27′ 43′′ to seconds.

2. Reduce 38400" to degrees.
3. Reduce 15° 45' to seconds.
4. Reduce 45009' to signs.
5. Reduce 1 C. to seconds.

6. Reduce 91444" to degrees.

7. Reduce 3 C. 11 S. 24° 50′ 20′′ to seconds.

8. Reduce 8296000" to circles.

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56 pounds of corn, rye, or flax seed.

60 pounds of wheat

32 pounds of oats .

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1 quintal.

1 bushel.

1 bushel.

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1 bushel.

a folio.

a quarto, or 4to.

an octavo, or 8vo.

a duodecimo, or 12me an 18mo.

76. MISCELLANEOUS EXAMPLES. 1. What cost 9 bu. of wheat at 40 ct. a peck? 2. What cost 3 hhd. of wine at 20 ct. a pint?

3. What cost 3 hhd. of beer at 3 ct. a pint?

+8.

4. What cost 5 lb. of medicine at 5 ct. a dram? 5. What cost 12 lb. of castings at 8 ct. an ounce? ỏ. What cost 41 yd. of fence at 8 ct. an inch?

7. What cost 125 gal. of vinegar at 5 ct. a quart?

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