114 PROBLEMS-GENERAL REVIEW 1. A publisher's bill for sending magazines by mail was $263; what was the weight of the magazines? 2. What is the cost of a money order for $5.01? $9.99? $15.25? $2.75? $65.23? $89.99? $77.55? 3. Simplify: 8 6 16. 10; 12; 25; 8; 18; 34: 15 ; . 4. What is the cost of 3 dozen shirt-waists at 98¢ each? 5. What is the cost of 5 lb. of coffee at $.39 a pound? 6. If the freight rate is 75¢ per 100 pounds, what is the cost of sending a box of goods weighing 225 lb. ? 7. A rectangular lot 540 ft. by 390 ft. is surrounded by a cement walk 9 ft. wide; find the area of the walk. 8. The cement of the walk mentioned in Exercise 7 rests upon a bed of crushed stone 6 in. deep; find the cost of the crushed stone at $1.44 per cubic yard. 9. Outside of the above walk a curbing is placed; find the cost of the curbing at $.40 per running foot. 10. If the area of a rectangle is 104 sq. in. and its width is 9 in., how long is it? II. A man owns a tract of land with street frontage of 654 feet. He divides it into 12 lots of equal frontage; what is the frontage of each lot? 12. The distance around a square lot is 167 ft.; how long is one side of the lot? 13. A boy in mowing a lawn 20 ft. by 30 ft. with a mower that cuts a swath 15 in. wide goes back and forth the short way of the lawn; how many feet does he travel in mowing the whole lawn? PROBLEMS-GENERAL REVIEW 115 I. A piece of land is cut by a railroad as indicated in the figure; what is the area belonging to the railroad company? The area of the whole tract? The area of the parts A and 3. A rug 9 × 12 ft. covers of the floor of a room 121⁄2 ft. wide; how long is the room? 4. The distance from New York to San Francisco by the proposed Panama route is 4,700 mi. If a boat travels 20 mi. per hour, how many days will it take for the voyage? 5. From New York to Hongkong by the proposed Panama route is about 13,900 mi.; in how many days would this voyage be made by a ship steaming 24 mi. per hour? 6. In the figure the shaded portions represent flower beds 5 ft. 42 ft. 21 ft. wide. The unshaded part represents a gravel walk 5 ft. wide. How many running feet of wire netting will be required to separate the flower beds from the walk? 7. How many square feet are there in a board fence 53 ft. high enclosing the garden, except at the entrances marked? 8. Find the area of the flower beds; of the walks. Verify by adding. What should this sum be? 116 PROBLEMS-GENERAL REVIEW 1. Find the area of each of the following figures: 2. A steamer requires 6 days to go from San Francisco to Sitka, about 1,300 miles; what is the speed per hour in miles? 3. To measure the speed of a steamer, a float (log) sufficiently large to remain stationary was thrown overboard; the counting the number of knots drawn out, counted 14 knots in 30 seconds. How many feet was the ship going per minute? Per hour? How many miles per hour? This is one of the ways in which the speed of a ship is measured. The nautical mile is about 6,087 ft. and the knots are placed at such distances apart that the number counted in 30 seconds is the same as the number of nautical miles the ship is sailing per hour. Hence the expression, "sailing 12 knots an hour." 4. Make and solve three problems about the ship's log. NOTATION AND NUMERATION Millions 1. How many thousands make 1 ten-thousand? 2. How many ten-thousands make 1 hundred-thousand? Similarly, 10 hundred-thousands are grouped to make 1 million; 10 million are grouped into 1 ten-million, and 10 ten-millions are grouped into 1 hundred-million. The three places, millions', ten-millions', and hundred-millions', belong to millions' period. The following table shows the names of the first nine places or orders and the first three periods for integers. The number used for illustration is six hundred seventy-five million, three hundred twenty-one thousand, five hundred thirty-six. The period at the left in a number may not be complete. That is, it may contain only one or two figures, as in 6,000 or in 65,000,233. How many must the other periods contain? Each period beginning at the left is read as if it were a number by itself, the name of the period being added except in the case of units' period when it is understood. or HUNDREDS 5 ∞ TENS - UNITS (Ones) 118 PROBLEMS-NOTATION AND NUMERATION 1. A merchant gained $1,325.75 the first year, $2,195.50 the second year, and lost $989.85 the third year; how many dollars did he gain in the three years? 2. A ranchman paid $565 for sheep, $1,250 for cattle, and $863 for horses; how much had he left out of $3,000? 3. A landowner received $25,673 from the sale of lands, $2,565 for rent, and expended $565 for repairs; how much had he left? 4. A man started in business with $2,765.25 in cash and a stock of goods worth $5,850.25. At the end of the first year he has $3,650.50 in cash and a stock of goods worth $4,985. Has he gained or lost, and how much? 5. A man bought a horse and carriage for $300.50. He sold the horse for $125 at a loss of $50.50. What was the cost of the carriage? 6. The coinage of gold at the United States mints in 1880 was $62,308,279, in 1900 it was $99,272,942.50; how much more was coined in 1900 than in 1880? 7. Find the total coinage for each year from the following table: 8. Read each result in Exercise 7. How many periods are there in each result? Name them. Write in numerals: 9. Eight million. 10. Eighty-five million. II. Four million two hundred seventy-five thousand. |