NOTATION AND NUMERATION. 1. Name the periods in order from units to millions. 163 2. Name the places in order from units to millions, and from units to millionths. 3. Write: Three million, forty thousand, two hundred four; two hundred thousand forty; twenty thousand one hundred one; sixteen thousand ten. 4. Write: Three million, seventy-one thousand, seventy and twelve thousandths; six hundred thousand, seven hundred forty-eight, and five ten thousandths; forty-nine thousand eight and one hundred five millionths; three hundred sixty thousand twentyeight and twenty-five hundred thousandths; thirty million two hundred seven thousand forty-three and twenty-one hundredths. 5. Read the following numbers: 6. Six million, six thousand, six and six millionths. 7. Eight hundred forty million, four hundred six thousand, two hundred six and one hundred twenty-four ten-thousandths. 8. Multiply eighty thousand nine hundred seventy-six by twenty thousand eight. 9. Multiply thirty-four thousand, eighty-six by ten thousand three hundred six. 10. Divide nine million, eight hundred sixty-one thousand, five hundred fifty-seven by four thousand sixty-nine. 11. Divide two million, seven hundred seventy-four thousand, five hundred thirty-eight by eight thousand three hundred seven. 1. 16 is 3 of what number? of what number? 5. If tons? of a ton of coal is worth $8, what is the price of 2 6. 9 is of what number? 12 is of what number? a dozen, how many dozen lead pencils can be bought for $4? 8. How many bushels of pears can be bought for $5, at 50¢ a bushel? 9. If cloth is 48¢ a yard, what must I pay for 3 of a yard? 10. How many square yards in a square rod? 11. 9 square yards equal how many square feet? 12. How much have I left out of $83 after spending $61? 13. I bought a book for of a dollar, and sold it for of a dollar. Did I gain or lose? and how much? 14. equals how many fourths? How many sixths? Eighths? Tenths? 15. equals how many sixths? How many ninths? Twelfths? 16. At $3 a day, what will a boy earn in a week? 17. How many cubic yards of earth were taken out in digging a cellar 10 yd. × 8 yd. × 2 yd.? What did it cost to dig it at 10 a cubic yard? 18. $40 is equal to of my house rent for 1 year. How much do I pay a month? 19. How many sheets of paper are there in a quire? In quire? Inquire? 20. How many quires are there in 3 reams? In 5 reams? 21. How many quires are there in a ream? In ream? 22. John earned 30 cents, and his father gave him 20 cents. How many bats at 10 each can he buy with all his money? and high it is. How many cubic feet are there in it? The smaller pile represents a cord foot. See how long, wide, and high it is. What part of a cord is it? cd. stands for cord or cords. cd. ft. stands for cord feet. 1. Find the number of cubic feet in a pile of wood 8 ft. long, 4 ft. wide, and 4 ft. high. How many more cubic feet does this pile need to make a cord? 2. Find the number of cubic long, 4 ft. wide, and 4 ft. high. a cord is it? feet in a pile of wood 4 ft. Is this a cord? Is this a cord? What part of 3. Find the number of cubic feet in a pile of wood 16 ft. long, 4 ft. wide, and 4 ft. high. 4. Find the cubic feet in a pile of wood 10 ft. long, 8 ft. wide, and 6 ft. high. 5. A pile of wood is 1 ft. long, 4 ft. wide, and 4 ft. high. How many cubic feet are in the pile? What part of a cord is it? 6. A pile of wood is 8 ft. long, 4 ft. wide, and 8 ft. high. How does its length compare with the length of a cord of wood? How do the widths compare? The heights? How many cords are there in the pile? 7. Make an example about a pile of wood. To illustrate this lesson there should be a model of a cubic foot and a cubic yard for examination. How long is it? How wide is it? there in it? 1. Take the cubic foot. How high is it? How many cubic inches are 2. A cubic yard is how long? How wide? How high? many cubic feet then are there in it? How 3. Learn this: 1728 cubic inches (cu. in.) 1 cubic foot (cu. ft.) 27 cubic feet 4. Find the number of cubic feet of water in a rectangular cistern 12 ft. long and 9 ft. wide, if the water is 7 ft. deep. 5. How many two-inch cubes are there in a rectangular block of marble 2 ft. long, 18 in. wide, and 12 in. thick? 6. How many cords in 640 cubic feet? 7. How many cords in 2 piles of 4-foot wood 16 ft. long and 8 ft. high? What is it worth at $6.25 a cord? 8. What will a pile of wood 12 ft. by 6 ft. by 4 ft. cost at $8 a cord? 9. What must I pay for a pile of 4-foot wood 6 ft. high and 12 ft. long at $6 a cord? 10. How many cords can be piled on a car 18 ft. long, 8 ft. wide, and 7 ft. high? 11. How many cubic feet of earth will be removed in digging a cellar 20 ft. long, 15 ft. wide, and 19 ft. deep? If a cubic yard makes a load, how many loads are there? 12. Compare a 4-foot cube with an 8-foot cube in length, surface, and contents. 13. What part of a cord is 96 cu. ft.? 14. Find the cost of digging a cellar 48 ft. long, 30 ft. wide, and 6 ft. deep, at 18g a cubic yard, and of flooring it with cement at 12 a square yd. ORAL. 167 1. How many months in 3 of a year? of a year? of a year? 2. How many hours in of a day? of a day? 12 of a day? 3. How many months in .25 of a year? In .333 of a year? 4. What part of a day is 6 hours? 9 hours? 12 hours? 5. How many square inches in the surface of a brick 8 in. long, 4 in. wide, 2 in. thick? 6. What per cent of $50 is $5? $10? $25 ? 7. If a merchant bought a piece of cloth for $80, and sold it at 25% profit, for how much did he sell it? 8. A merchant bought hats at $5 each, and sold them at 20% profit. What was the selling price? 9. A merchant bought hats at $5 each, and sold them at a loss of 20%. What was the selling price? 10. When cloth, costing $5 a yard, is sold for $4 a yard, what is the loss per cent? 11. If a merchant sells cloth, costing $4 a yard, for $5 a yard, what per cent does he gain? 12. If a man sold shoes at a profit of $2 a pair, and gained 20%, how much did they cost? 13. How must muslin that costs 10 cents a yard be sold to gain 20%? That costs 15 cents? 20 cents? 17. 18 is % of how many? 18. 24 is of how many? 19. 40 is of how many times of 10? 20. If 4 chickens cost 9 dimes, what will 1 chicken cost? 21. What will 1 lb. of prunes cost if 5 lb. cost 48 dimes? 22. If 3 apples cost of a cent, what will 7 apples cost? |