ARITHMETIC.

(PART 4.)

EXAMINATION QUESTIONS.

(1) Change .67 of a mile to integers of lower denomination. Ans. 214 rd. 2 yd. 7.2 in.

(2) How many miles apart are two points on the earth's equator, one being at 23° 28' west longitude, and the other at 5° 22' east longitude. (Take a degree of longitude at the equator as 69.16 statute miles.) Ans. 1,994.11+ mi.

(3) How many yards of lining of a yard wide will be required to line a piece of goods 28 yards long and of a yard wide? (The area equals the product of the length and the width.) Ans. 24 yd.

(4) What must be paid for a rectangular block of granite, its dimensions being 3 ft. x 4 ft. x 6 ft., at $1.37 per cubic foot? (The contents of the block equals the product of the length, breadth, and thickness.) Ans. $111.375.

(5) Find to four decimal places the number of times that 2 ft. 8 in. must be repeated to be equal to the circumference of a flywheel 12 feet in diameter. (The circumference equals 3.1416 times the diameter.)

Ans. 14.1372.

(6) Change of 365 da. 5 hr. 48 min. 49.7 sec. to integers of lower denomination.

Ans. 228 da. 6 hr. 38 min. 1.0625 sec.

(7) If 5 T. 875 lb. of coal cost $9.131, how much is it a ton? Use the long ton. Ans. $1.69+.

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(8) How many 8-inch furrows, each 40 rods long, are equivalent to an acre? (See Example 3.) Ans. 99.

(9) Assuming that a degree of latitude is 69.16 miles, how far from the equator is a place whose latitude is 42° 20′ 30′′ ? Ans. 2,928.3497-mi. (10) A cubical cistern is 8 ft. 6 in. in each of its three dimensions. How many gallons will it hold? (See Example 4.) Ans. 4,594- gal.

(11) Find the exact time in years and days between Jan. 14, 1898, and July 23, 1900. Ans. 2 yr. 190 da.

(12) What decimal fraction of an entire circle is 60° 40' 30"?

Ans. .1685+.

(13) How many bushels will a bin contain whose dimensions are 6 ft. x 6 ft. x8 ft.? (See Example 4.)

Ans. 250.7+ bu.

(14) A family used a quantity of sugar at the rate of 8 ounces per day and it lasted 80 days.

were there in all ?

How many pounds

Ans. 43 lb.

(15) Find the difference between 25 ft. square and

75 sq. ft.

(16) A rectangular stick of lumber 36 thick contains 40 cu. ft. How wide is it?

(17) A vessel having a capacity of 100 bushels will hold how many gallons? Ans. 930.92-gal.

(18) (a) How many square feet in a board 18.75 ft. long and 2 ft. 10 in. wide? (See Example 3.) (6) What will it

cost at 8 cents a square foot?

Ans.

{8)

((a) 53.125 sq. ft. (b) $4.25.

(19) (a) What fractional part of 63 gallons is 18 gal. 3 qt.

1 pt.? (b) What decimal part?

181.

Ans. {(2) .2996+.

(20) A grocer bought 6 bushels of cranberries and sold them at 25 cents for 3 quarts. His gain was $4. What did they cost him per bushel? Ans. $2.

(21) A student spent 8 hours and 40 minutes daily in study for 4 years. How much time did he study in all, if school was in session 5 days each week for 40 weeks each year? Ans. 6,9331 hr.

(22) From £21 5 s. 3 d. take £13 9 s. 6 d. Ans. £7 15 s. 9 d. (23) If 16 square miles be equally divided into 62 farms, how much land will each farm contain?

Ans. 165 A. 25 sq. rd. 24 sq. yd. 3 sq. ft. 80+ sq. in. (24) How many bushels of apples are contained in 9 barrels, if each barrel contains 2 bu. 3 pk. 6 qt.?

(25) Reduce 4,763,254 links to miles.

Ans. 26.4375 bu.

Ans. 595 mi. 32 ch. 2 rd. 4 li.

ARITHMETIC.

(PART 5.)

EXAMINATION QUESTIONS.

NOTE.-The answers obtained by the student to those examples which require a change of units from the metric system to English or vice versa may differ slightly from those here printed on account of the method used. If the student's work is correct, however, it will be accepted and full credit will be given.

(1) How many kilos of water will a tank contain that is 3 m. X 2 m. × 3 m.? Ans. 18,000 K. (2) Find the cost of 1.5 tonnes of sugar at 2 cents a pound. Ans. $82.67+. (3) How much will 25.875 kilograms of opium cost at 10 cents a grain? Ans. $39,930.30. (4) At 25 cents a square yard, find how much must be paid to plaster a ceiling 12 meters long and 10 meters wide. Ans. $35.88.

(5) What would be the value of the 5-cent nickel coins that, placed side by side, would make a row 50 meters long, the diameter of the 5-cent nickel coin being 2 centimeters? Ans. $125.

(6) Find the cost, at 12 cents a quart, of 1,000 liters of cranberries.

(7) Change 56.8 meters to yards.

Ans. $108.94-.

Ans. 62.1+ yd.

(9) How many cubic meters are equivalent to 93 cu. yd.?

Ans. 71.1+ cu. m.

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