1. Find the width of the library shown in the picture to the nearest eighth of an inch.

2. What is its actual width, if in. on the picture represents 1 ft. on the object?

3. Find by means of this scale the height of the library; the width of a window; the height of the windows in each story; the height of the arch over the door; the height and width of the doors; the height and breadth of the art window over the door. Make other problems.

4. What is the height of the semicircular arch over the door? Its width? Its diameter? Its inside and outside radii?

5. If the radius of an automobile wheel is 16.5 in. and that of a carriage wheel is 2.25 ft., find the difference in the height of the two wheels.

6. The front wheel of a wagon has a radius of 183 in., and the rear wheel has a radius of 23.8 in.; how many inches is the rear wheel higher than the front wheel?

4. Draw a circle and draw radii to divide it into 8 equal parts as nearly as you Shade six of these parts.

can.

5. In Exercise 4, how many eighths of the circle are there in

of the shaded part?

15. A train runs of the distance from New York to Buffalo in 7 hours; what part of the distance does it run in 1 hour? In how many hours does it cover the whole distance?

16. Mr. Perkins spends of his annual salary and saves the rest. of the sum spent is paid out for food. What part of his entire salary is spent for food?

17. If each fourth of a cake is divided into two equal parts, how many parts are there in all? Each is what part of the whole cake? 18. Draw a rectangle like the Shade of it. Show that

top of the cake in Exercise 17. ofis. ÷ 2 = —.

Find without diagram:

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FRACTIONS-MULTIPLICATION AND DIVISION

1. What is 1⁄2 of 1? Point this out in the diagram. How

16. William and Frank raised chickens; William owns of the stock; he sells of his share to James; what share of the whole does James own?

17. Frank sells of his share to Henry; what part of the whole does Henry own?

18. A cubic inch of anthracite coal weighs about as much as a cubic inch of water. A cubic inch of poplar weighs

about as much as a cubic inch of anthracite coal.

the weights of poplar and water.

19. A rug is yd. long and as wide.

Compare

How wide is it?

20. A rectangle has a base of a yard long and an altitude as long; how long is the altitude?

21. The perimeter of a triangle is ft. and its altitude is as long; how long is its altitude?

22. What is the area of a parallelogram whose base is 2 feet and whose altitude is of a foot?

23. How many square feet are there in the area of a triangle of base of a foot and altitude of a foot?

PROBLEMS-POSTAGE

85

Domestic Postage: To all parts of the United States, including Hawaii, Porto Rico, and the Philippine Islands; also to Canada, Mexico, and Cuba.

FIRST-CLASS MATTER: Letters or sealed matter 2 cents an ounce or fraction thereof. Postal cards 1 cent each; with paid reply 2 cents each.

SECOND-CLASS MATTER: Newspapers and other periodical publications, when sent by publishers or news-agents, 1 cent per pound or fraction thereof; when sent by others, 1 cent for each four ounces or fractional part thereof.

1. What is the postage on a letter weighing & oz. ? 21 oz. ? 41 oz.? 12 oz.? 13 oz.? 3 oz.? 61 oz.?

2. A publisher sends 15,000 copies of his paper by mail. Each paper with its wrapper weighs 4 oz. The papers are weighed at the post-office in bulk and he pays for the total weight at 14 per pound. What is his postage bill?

3. One of the subscribers remails his copy to a friend; how much postage must he pay?

4. Anna found that one of the monthly magazines weighed 131 oz. If 125,000 copies of it were sent by mail, what was the postage bill of the publisher for that month?

5. What does it cost a subscriber to remail a copy?

6. What is the greatest weight a newspaper can have that requires a 34 postage when remailed?

7. How many ounces or less does a letter weigh on which the postage is 6¢?

8. What is the greatest weight a doll can have so that it will not require more than 274 for postage?

9. What is the cost of a gross of postal cards with paid reply? What is the cost of 500?

10. What is the postage on 10,000 copies of 4-oz. newspapers when sent by the publishers?

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PROBLEMS-POSTAGE

THIRD-CLASS MATTER: Books, circulars, pamphlets, proof sheets, or other printed matter, 1 cent for each two ounces or fractional part thereof, sent to a single address.

FOURTH-CLASS MATTER: Merchandise and merchandise samples, 1 cent for each ounce or fraction thereof sent to a single address.

REGISTERED MATTER: Eight cents in addition to the regular postage.

SPECIAL DELIVERY: Ten cents in addition to the regular postage of first-class matter.

1. Sarah sent a book weighing 281 oz. by mail, as a Christmas present, and had it registered; how much postage did she pay?

2. Fred ordered by mail a toy sail-boat weighing 22 oz. when packed for shipment. The price was 504, and the purchaser was to pay the cost of sending; how much did it cost Fred, including postage on his letter ordering the boat? Find the cost of each of the following articles, if ordered by mail, the purchaser paying the postage:

7. If the postage on a book is 114, what do you know about the weight of the book?

8. A mail-order house advertises opera-glasses at $3.75; postage 50¢ extra; what is the greatest weight the glasses can have when packed in a box weighing 1 lb.?

9. If scales are available estimate and record the postage that would be required to send various books and papers by mail; then test your estimates by weighing the objects and referring to the rates.