15. How many pounds in a kilo, when a cubic foot of water weighs 1,000 oz.? (See problem 10.)

16. What would be the circumference of the earth in miles if the meter measured 40 inches?

(The meter is 1000'000 of what part of circumference?)

17. How many square yards in a square meter?

18. How many acres in a hectare? (See problem 4.)

19. How many rods in a hectometer?

20. How many cubic feet in a stere? (See problem 6.)

21. How many troy grains (7,000 to av. lb.) in a gram? (See problem 15.)

22. How many kilometers in a mile?

1188. The square meter is the principal unit of surfaces, such as walls, ceilings, floors, etc.

1189. The are is the principal unit of surface of small plots of land. The area of a farm is expressed in hectares, of a country in square kilo

1192. The stere (cubic meter) is used for measuring wood. 10 decisteres (dst.) = 1 stere (st.) = 35.316 cu. ft.

1194. The liter and the hectoliter are the principal units.

1196. The kilo is the ordinary unit. Heavy articles are sold by the

tonneau.

23. What will be the duty on 150 liters of wine at 50¢ per gallon?

24. Paris is 466 Km. from Lyons. How many miles apart are the two cities?

25. Find the duty, at 8¢ per sq. yd., on 360 meters of dress goods 72 centimeters wide. (Cancel.)

Kansas City Public Schools. Examination Questions.

1197. Oral Problems.

1. A man has two suits of clothes and an overcoat. The first suit is worth $12. The first suit and the overcoat are worth twice as much as the second suit. The second suit and the overcoat are worth three times as much as the first suit. What is the value of the overcoat? Of the second suit?

2. A lost $22. He then found as much as he had remaining, and then he had as much as he had at first. How much had he at first?

3. What time is it, if of the time past midnight equals the time past noon?

4. At what time between 3 and 4 is the hour hand 5 minute spaces in advance of the minute hand?

5.

is 30

of A's age equals of B's age. The sum of their years. How old is each?

ages

6. A and B are partners. They gain $720. A owns of the stock, lacking $30, and gains $525. What was the whole stock? What was the share of each?

7. A bought sheep for $80. 5 of them died. He then sold of the remainder at cost, and received $40. How many did he buy?

8. of A's age equals of B's age. B is 10 years older than A. Give the ages of each.

1198. Slate Problems.

1. Add 24 lb. 10 oz. 17 pwt. 22 gr.; 16 lb. 19 pwt.; 10 oz. 15 pwt. 21 gr.; 45 lb. 9 oz. 18 gr.; and 13 lb. 11 oz. 18 pwt.

23 gr.

2. A man was born Aug. 31, 1855. How old is he to-day?

3. Divide 19 mi. 180 rd. 2 yd. 9 in. by 7, and multiply the quotient by 12.

4. If two places are 18° 24′ 12′′ apart, what is the difference of time? When it is 9 o'clock A.M. at Chicago, how far away is a place whose sun time is 10 hr. 45 min. A.M.? Which Which way is the place, and why?

5. A merchant bought 160 meters of cloth at $3.25 per meter, and sold it at $3.85 per meter. What was his gain? Give the meaning of the prefixes used in the metric system.

6. Find the circumference of a circle whose diameter is 6 ft.

Find its area. Find the solid contents of a cylinder 2 inches in diameter and 4 inches high.

7. What will be the cost of a board 16 ft. long, 9 in. wide, and inch thick, at $40 per M.? If the thickness is 2 inches, 1⁄2 what will a board of similar width and length cost, at the same price per M.?

(Boards less than 1 inch thick are considered as an inch thick in calculating the number of board feet.)

8. Draw a diagram showing how to locate the N.E. of the N.E.of a section of land. How many acres in the part marked off?

9. A bin is 8 ft. long, 7 ft. wide, and 4 ft. deep. How many bushels of grain will it hold? How many cubic inches in a gallon liquid measure?

10. How many yards of carpeting, of a yard wide, will carpet a room 27 feet long and 24 feet wide, if the strips run lengthwise, with no loss for matching?

CHAPTER XV.

ALGEBRAIC EQUATIONS.-TWO UNKNOWN QUANTITIES. THREE UNKNOWN QUANTITIES.—PURE QUADRATIOS. — AFFECTED QUADRATICS.

1200. In the quantities 2a, 3x, 5xy, 15 abc, the numbers 2, 3, 5, 15, are called coefficients. When no coefficient is expressed, 1 is understood. Thus, abc:

=

1 abc.

Where no sign is expressed, + is understood.

1201. What a person has may be represented with a plus sign (+) placed before the amount; debts may be shown by a minus sign (-) placed before the amount.