NOTE 1. Water surfaces are not included in the above figures. While answering questions 1-5, keep your geography before you, open at the map of the United States. By referring to the map, estimate each answer before computing it, and then compare your estimate with the result obtained by computation. 1. (a) Texas contains how many times as much land as New York? (b) It contains how many more square miles of land than New York? 2. Alaska would make how many states the size of New Jersey?.. 3. Compare, by division, the land areas of: a. Alaska and Illinois. b. Rhode Island and Texas. c. Massachusetts and New York. d. Connecticut and California. e. Montana and Delaware. f. Rhode Island and District of Columbia. 4. Compare, by subtraction, the land areas of: a. Illinois and Massachusetts. b. Texas and Alaska. 5. Find which of the columns of land surfaces indicates the greater number of square miles. What is the difference? Make other problems from the above table. Problems from a City Post Office 1. The post office in a city of 105,000 people received $525,000 in one year for stamps, registering letters, writing money orders, and other postal business. The expense of carrying on the post office was of this amount. What was the expense of carrying on the post office? 2. How much did the Post Office Department gain on account of this post office? 3. In this office 722 sacks and pouches of mail were handled in one day, each sack and pouch containing an average of 154 pieces of mail. How many pieces of mail were handled? 4. In this office there were sold in one year 12,400 twenty-five-cent stamp books; 4600 forty-nine-cent stamp books; 2250 ninety-seven-cent stamp books. How much was received for all of them? 5. In this office, 7 carriers received $1400 each per year, 15 received $1500 each, 15 received $1600 each, 9 received $1700 each, and 9 received $1800 each. How much was paid to all of them? 6. $101,439 was paid to 87 clerks in the office in 8 months; that was how much apiece? 7. For 4 years, the receipts at this office were as follows: Problems from the Parcel Post The cost of sending a package by parcel post varies according to the weight of the package and the distance. Tables are furnished by the Post Office Department showing the exact cost of sending a package of any weight up to 50 pounds to any place in the country, and packages weighing more than 50 and not more than 70 pounds any distance up to 300 miles. The table below gives the rates for 17 different weights. Add 1 cent for 25¢ and 14 more for each 25¢ and fraction thereof above the first 25¢, to meet the war tax of 1917. That is, if the postage, according to the table, amounts to less than 25¢, add nothing. If it is 25¢, add 1¢. If it is from 26¢ to 50¢, add 2 cents. If it is from 51¢ to 75 ¢, add 3 cents, and so on. Packages weighing 4 ounces or less, 1 cent per ounce or fraction thereof to any distance. UP TO 50 то 1 $0.05 $0.05 $0.05 $0.06 $0.07 $0.08 $0.09 $0.11 $0.12 30 .20 .34 .34 35 .22 .39 .39 40 .25 .44 .44 45 .27 .49 .49 50 .30 .83 1.22 1.61 2.01 2.40 From this table, find the cost of sending: 1. 1 lb. 50 miles and 1 lb. 2000 miles. 2. 3 lb. 50 miles and 10 lb. 700 miles. 3. 8 lb. 1500 miles and 18 lb. 100 miles. 4. 25 lb. local and 25 lb. 60 miles. 5. 30 lb. 40 miles and 35 lb. 140 miles. 6. 45 lb. 70 miles and 50 lb. local. 7. 15 lb. local and 18 lb. 175 miles. 8. 20 lb. 38 miles and 20 lb. 2500 miles. 9. 5 lb. 1200 miles and 3 lb. 1900 miles. 10. Two cities are 400 miles apart. To send 15 lb. by express from one to the other costs 93 cents. How much cheaper would it be by parcel post? 11. The express rate for 40 lb. between two cities 750 miles apart is 95 cents. How much less is that than the rate for two 20-lb. packages? 12. Make many other problems. Oral REVIEW AND PRACTICE 1. What is a fraction? If you change to eighths, how will its value be affected? How will the number of parts be changed? How will the size of the parts be changed? 2. How does compare with ? Show this by a drawing. 3. Which is larger, of an apple or of an apple? or ?or &? 4. Which is greater, or ? 5. 29 pounds are how many times 5 pounds? Compare $250 with $50; 1 qt. with 1 pt.; 80¢ with 20¢. 6. Compare 2 cents with 50 cents; 2 gal. with 3 gal.; 8 lb. with 64 lb.; $.25 with $1.50. 7. Find the cost of 24 souvenir cards at the rate of 3 for 5 cents. 8 8. Change to mixed numbers: 32; 45; 32; 9; 1. 12 9. Henry bought a top for 3 cents, some candy for 11 cents, and a pencil for 7 cents. What change should he receive from a quarter? 10. $240 will buy how many typewriters at $60 apiece? 11. A windmill turned 20 times a minute. The owner oiled it and then it turned 24 times a minute with the same wind. a. How many turns per hour were gained by oiling? b. How many times as much work did the mill do after oiling as before oiling? c. What part as much work did the mill perform before oiling as after oiling? 12. This is a pattern of a paper book cover. How many inches long must the sheet of paper be to make this cover? 13. How many inches 21 wide must it be? 14. Four of these sheets cost 1 cent. What 7214 -58" -58 is the cost of paper for 100 covers? 15. How much does your school making covers for 200 books instead of buying readymade covers at one cent apiece?. 16. When $150 will buy 189 bushels of wheat, how many bushels will $50 buy? ($50 is what part of $150?) |