DENOMINATE NUMBERS. 1. Sixteen and one half feet are 1 rod. yards.* 4 rods are feet. 5. Six rods are feet. 10 rods are feet. 6. One mile is rods. į mile is rods. 7. į mile is rods. Ř mile is - rods. 8. The telegraph poles along the line of a railroad are usually ten rods apart; they are - feet apart. From the first telegraph pole to the third it is rods; from the first to the fifth it is rods. (a) How far is it from the first telegraph pole to the thirty-third ? 9. The roads in the country are usually 4 rods wide. A 4-rod road is feet wide. 10. A 100-foot street is rods and foot wide. 11. From the schoolhouse to it is mile, or rods. (b) Change 5 mi. to rods. (c) Change 40 rd. to feet. (d) Change 28 rd. to yards. (e) Change 7 mi. to rods. of a REVIEW. 12. When hay is $12 a ton, 3000 lb. cost (f) When corn (not shelled) is 45° a bushel, how much will 3640 lb. cost? (g) When coal is $5.40 a ton, how much will 2600 lb. cost? * Discover by actual measurement the number of yards in a rod. 1. A pile of wood 8 feet long, 4 feet wide, and 4 feet high (or its equivalent) is called a cord. (a) How many cubic feet in a rectangular solid 8 feet by 4 feet by 4 feet? 2. A pile of wood 16 feet long, 4 feet wide, and 4 feet high contains — cords. (b) How many cubic feet in 2 cords? 3. A pile of wood 8 feet long, 4 feet wide, and 6 feet high contains cords. (C) How many cubic feet in 1} cords? (d) In of a cord ? (e) How many cubic feet in 54 cords ? (f) In 6 cords ? REVIEW. = = 4. A 1-inch square of a 2-inch square. 5. A 1-inch cube of a 2-inch cube. 6. A 2-inch square of a 3-inch square. 7. A 2-inch cube of a 3-inch cube. (g) Find the area of a surface 12 ft. by 24 ft.* (h) Find the volume of a solid 12 ft. by 8 ft. by 4 ft.† *Take care that the pupil understands that he does not (cannot) multiply 24 ft. by 12 ft., but 24 square feet by 12, or 12 square feet by 24. In this problem the pupil multiplies 12 cubic feet by 8, and the product thus obtained by 4. RATIO AND PROPORTION. 1. One eighth of 24 is 24 is ß of 2. One seventh of 24 is 24 is of 3. One fifth of 24 is 24 is s of (a) Find of 49.26. (b) 49.26 is d of what? (c) Find 1 of $9.31. (d) $9.31 is 4 of what? 4. Four sevenths of 56 are 56 is of 5. Three sevenths of 42 are 42 is į of (e) Find 4 of 875. (f) 876 is of what number? (g) Find of 924. (h) 927 is of what number? 6. 18 is of 27. 27 is of 18. of 27. of 45. 9. Three sevenths of 28 are 2 thirds of 10. Six sevenths of 28 are 3 fourths of (i) Three sevenths of 364 are 1 half of what number? (j) One seventh of 434 is 2 thirds of what number? 11. Twenty is of 25. If 25 bags of salt are worth $15, 20 bags of salt are worth dollars. (k) If 25 acres of land are worth $640, how much are 20 acres worth at the same rate ? 12. Twenty-five is of 20, or and times 20. If 20 bushels of apples are worth $12, 25 bushels of apples are worth dollars. (1) If 20 barrels of salt are worth $22.40, how much are 25 barrels of salt worth at the same rate ? 13. If 12 qt. of nuts are worth 404, 9 qt. of nuts are worth cents. PERCENTAGE. 40 per cent = .40 = š. (1) 1. 40 per cent of 50 = 2. 60 per cent of 15 3. 40 per cent of 45 = 4. 60 per cent of 45 5. 75 per cent of 28 = 6. 66 per cent of 21 = 7. 40 per cent of 60 8. 60 per cent of 60 9. 75 per cent of 32 10. 66 per cent of 36 = (2) = 11. 8 is 12. 8 is 13. 8 is 14. 8 is 15. 8 is 16. 9 is 17. 18 is (3) 8 is 8 is per cent of 64. 8 is per cent of 48. 8 is per cent of 80. 8 is per cent of 15. 18 is per cent of 24. 44 is (3) 18. Russel earned 604; he spent 10% of his money for a tablet and 20% of it for a book; the tablet cost cents and the book cost cents. 19. Ten per cent of the sheep in a certain flock were black; there were 8 black sheep; in all there were sheep PERCENTAGE. (1) 1. 40 per cent of 55 = 60 per cent of 55 = (a) Find 40% of 575. (b) Find 60% of 365. (C) Find 75% of 676. (d) Find 663% of 591. (e) Find 3% of $254. (f) Find 7% of $254. (g) A lawyer's commission for collecting money was 7%; he collected $635. How much of the money should he keep and how much should he “pay over” to the man for whom he collected the money ? (2) 2. 18 is 40% of 18 is 60% of (h) 346 is 40% of what? (i) 345 is 60% of what? (j) 534 is 75% of what ? (k) 534 is 66% of what? (1) $36 is 3% of what? (m)$84 is 7% of what? (n) A lawyer's commission for collecting money was 7%; his commission amounted to $63. How much did he collect and how much should he “pay over” to the man for whom he collected the money? . (3) 33 is -% of 55. 18 is -% of 27. (0) Eighteen dollars are what per cent of $600 ? This means, find how many hundredths of $600, $18 are. Operation. Explanation. $600 = 100 = $6. One per cent of $600 is $18 $6 = 3 times. $18 are as many per cent of $600 as $6 are contained times in $18. $18 are 3% of $600. 5. $84 are -% of $1200. $72 are -% of $800. |