DENOMINATE NUMBERS. 1. Sixteen and one half feet are 1 rod. 2. Three hundred twenty rods are 1 mile. (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 10. A 100-foot street is feet wide. (c) Change 40 rd. to feet. (e) Change 7 mi. to rods. REVIEW. 12. When hay is $12 a ton, 3000 lb. cost 13. When oats are 30¢ a bushel, 96 lb. cost 14. When wheat is 804 a bushel, 180 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 (e) How many cubic feet in 5 cords? (d) In 3 of a cord? cords? (f) In 63 cords? of a 2-inch square. of a 2-inch cube. 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. 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. 18. Russel earned 604; he spent 10% of his money for a tablet and 20% of it for a book; the tablet 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. (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 (h) 346 is 40% of what? (j) 534 is 75% of what? (1) $36 is 3% of what? 18 is 60% of (i) 345 is 60% 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. 18 is 4. 33 is (3) 33 is -% of 55. 18 is per cent of 45. per cent of 44. -% of 27. (0) Eighteen dollars are what per cent of $600 ? means, find how many hundredths of $600, $18 are. This $18 are as many per cent of $600 as $6 are contained times in $18. $18 are 3% of $600. 5. $84 are |