un 12. The train in problem 9 makes 6 stops, averaging 5 minutes each. At what rate must the train actually run so as to reach Chicago from New York in 18 hours ? 13. A gallon of water weighs 81 pounds. Cast iron is 7.08 times as heavy as water. How much would a piece of iron equal in volume to 3.25 gallons of water weigh? 14. Gold is 19.3 times as heavy as water. How much would the same volume of gold weigh? 15. A bushel of shelled corn weighs 56 pounds. How many bushels are required to fill an ordinary freight car whose capacity is 60000 pounds ? 16. The freight on such a car shipped from Kansas City to Albany, N.Y., was $75. How much was that per bushel ? 17. This corn cost 56 ¢ per bushel in Kansas City. How much did this car load of corn cost delivered at Albany ? 18. The dealer's other expenses in handling this car of corn were $ 27.50. He sold it for 70 cents per bushel. How much did he gain ? 19. In an automobile race 297 miles were covered in 290.173 minutes. What was the time per mile ? 20. The speed of one machine in this race was 67.63 miles per hour. At this rate how far could the machine travel in 1.25 hours ? 21. How many rods of hedge surround a school ground 8.625 rods long and 5.75 rods wide? 22. If .76 of a pound of gunpowder is niter, 1425.76 pounds of niter is necessary in making how many pounds of gunpowder? 23. 7+ (.125 x 7) +(16 x .375)= ? HAM. SCH. ARITH. – 8 24. If the price of gas is $.27 per thousand cubic feet, how much is the average gas bill per month, when 85620 cubic feet are consumed in 6 months? 25. Allowing 2.75 bushels to the barrel, how many barrels of apples, at $.65 a bushel, can be bought for $178.75? 26. A teacher paid .35 of his salary for board, .18 for clothing, .07 for travel, .1 for incidentals, and had $300 left. How much was his salary? 27. From 38 take the sum of 38 thousandths and 38 millionths. 28. If seventy-five hundredths of a number is 372, what is eighty-three and one third hundredths of it? 10.8 11 29. What is the value of x.03? A 30. A real estate agent bought 4 lots at $650.50 each. He sold two of them at a loss of $67.25. If he sells the other two at a profit of $75.75, how much does he gain on his investment? 31. A school board paid $144 for books: of the amount was paid for General Histories at $1.20 each; of it for Algebras at $1 each; and the remainder for Rhetorics at $.96 each. How many books were purchased ? 32. A man invested .32 of his money in mining stock, .48 in railroad stock, and had $12000 remaining. How much had he at first? 33. An engineer took a contract to build a bridge for $18500. The material cost $10575; he employed 40 men 74 weeks of six days each at $2.25 per day, and 30 men for 41 weeks of five days each at $2.75 a day. How much did he gain? 34. A merchant bought 140 boys' suits at $6.75 a suit. He sold of them at $9.50 a suit and the remainder at $8.50 a suit. How much did he gain? 35. Four men purchased an oil property, the first paying for .3 of it, the second for .375 of it, the third for of it, and the fourth the remainder, which was $3000. How much did the property cost them ? 36. A merchant bought 975 pounds of sugar for $48.75. He sold of it at $.055 a pound, of it at $.06 a pound, and the remainder at $.065 a pound. Find his gain. 37. I invested .4 of my money in a farm and deposited .75 of the remainder in a bank. If the amount paid for the farm was $300 less than the amount deposited in the bank, how much money had I? Find the sum of the quotients : 38. 5:5 39. .6•.2 5:.5 66 : .22 5• .05 11:.022 5:.005 .08 .2 .005-5 .088 : 22 .5:5 .16 = .004 500 .5 .078 = .013 PRACTICAL MEASUREMENTS LENGTH AND SURFACE To the TEACHER. — Secure a 50-foot tape measure and have pupils make as many actual measurements as possible. 1. Find the dimensions of the school ground. 2. If your school is in the city, measure the length and width of some square near your school, or if in the country, some field. 3. Measure 1 of a mile along a street or a public road. Compare a mile with a rod; with a yard; with a foot. After some practice in actual measurements, the pupils should be able . to give quite accurate estimates of short distances. 4. Have the pupils estimate the length and the height of the schoolroom; the height of the school building; the length and the width of the playground, etc. 5. Have each pupil draw on the blackboard, without the aid of a rule, an inch, a foot, a yard. 6. Show by diagram the number of square inches in a square foot. 7. Show by diagram the number of square feet in a square yard. 8. Draw a square rod on a scale of 3 inches to 1 yard. 9. Show by a diagram, on a scale of 1 inch to the yard, the number of square yards or square feet in a square rod. 160 square rods of land is called an acre. 10. How many yards are there in the perimeter of a field a mile square ? NOTE. — The perimeter of a figure is the line that bounds it, or the sum of its sides. 11. Name the different units of long measure and the different units of surface measure. 12. What is the shape of the figure that represents a square inch ? a square foot ? a square yard ? a square rod ? 13. Draw two figures of different dimensions to represent an acre. How do you show that 160 square rods equals each surface ? 14. What unit of surface measure is not a square unit? 15. Have each pupil draw a unit surface, without the aid of a rule, to show a square inch, a square foot, a square yard. Learn this table of surface or square measure: 144 square inches (sq. in.) =1 square foot 9 square feet (sq. ft.) =1 square yard (sq. yd.) 302 square yards (sq. yd.) 1=1 square rod (sq. rd.) 272 square feet (sq. ft.) 160 square rods (sq. rd.) 1=1 acre (A.) 43560 square feet (sq. ft.) } 1 mile square =1 section 640 acres =1 square mile 36 square miles =1 western township 100 square feet =1 square in roofing and flooring Written Work Change : 1. 3 sq. ft. 48 sq. in. to square inches. 2. 4 A. 35 sq. rd. to square rods. 3. 125 sq. rd. to a decimal of an acre. 4. .375 of an acre to square rods. |