6. Two times sixteen are how many? 7. Two times seventeen are how many? 8. Two times eighteen are how many? 9. Two times nineteen are how many? 10. Two times twenty are how many? 11. Three times eleven are how many? 12. Three times twelve are how many? 13. Three times thirteen are how many? 14. Three times fourteen are how many? 15. Three times fifteen are how many? 16. Three times sixteen are how many? 17. Three times seventeen are how many? 18. Three times eighteen are how many ? 19. Three times nineteen are how many? 20. Three times twenty are how many? 21. Four times eleven are how many? 22. Four times twelve are how many? 23. Four times thirteen are how many? 24. Four times fourteen are how many? 25. Four times fifteen are how many ? . 26. Four times sixteen are how many? 27. Four times seventeen are how many? 28. Four times eighteen are how many ? 29. Four times nineteen are how many? 30. Four times twenty are how many ? 31. Five times eleven are how many? 32. Five times twelve are how many ? 33. Five times thirteen are how many? 34. Five times fourteen are how many? 35. Five times fifteen are how many? 36. Five times sixteen are how many? 37. Five times seventeen are how many? 38 Five times eighteen are how many ? 39. Five times nineteen are how many? 40. Five times twenty are how many? 41. Six times eleven are how many? 42. Six times twelve are how many? ? 43. Six times thirteen are how many? 44. Six times fourteen are how many? 45. Six times fifteen are how many ? 46. Six times sixteen are how many ? 47. Six times seventeen are how many? 48. Six times eighteen are how many ? 49. Six times nineteen are how many ? 50. Six times twenty are how many ? 51. Seven times eleven are how many ? 52. Seven times twelve are how many 53. Seven times thirteen are how many ? 54. Seven times fourteen are how many ? 55. Seven times fifteen are how many ? 56. Seven times sixteen are how many ? 57. Seven times seventeen are how many ? 58. Seven times eighteen are how many ? 59. Seven times nineteen are how many? 60. Seven times twenty are how many? 61. Eight times eleven are how many? 62. Eight times twelve are how many? 63. Eight times thirteen are how many? 64. Eight times fourteen are how many? 65. Eight times fifteen are how many? 66. Eight times sixteen are how many? 67. Eight times seventeen are how many? 68. Eight times eighteen are how many? 69. Eight times nineteen are how many? 70. Eight times twenty are how many? 71. Nine times eleven are how many? 72. Nine times twelve are how many? 73. Nine times thirteen are how many? 74. Nine times fourteen are how many? 75. Nine times fifteen are how many ? 76. Nine times sixteen are how many ? 77. Nine times seventeen are how many 78. Nine times eighteen are how many ? 79. Nine times nineteen are how many? ? 80. Nine times twenty are how many? ? SECTION VIII. A. 1. IF you cut an apple into two equal parts, what is one of those parts called? * 2. How many halves of an apple will make the whole apple? 3. If you cut an apple into 3 equal parts, what is 1 of those parts called? what are 2 of the parts called? 4. How many thirds of an apple will make the whole apple? 5. If you cut an apple into 4 equal parts, what is 1 of those parts called? what are 2 of those parts called? what are 3 of them called? 6. How many fourths of an apple make the whole apple ? 7. If an apple be cut into 5 equal parts, what is 1 of the parts called? what are 2 of the parts called? what are 3 of the parts called? what are 4 of the parts called? * See Section III, article B, remark before question 1 and 17. 8. How many fifths of an apple make the whole apple? 9. If an apple be cut into 6 equal parts, what is 1 of the parts called? what are 2 of the parts called? what 3? what 4? what 5? 10. How many sixths of an apple make the whole apple ? 11. If an apple be cut into 7 equal parts, what is 1 of the parts called? what are 2 of the parts called ? what 3 what 4? what 5? what 6? Let the instructor ask the pupils the divisions of a unit in this manner as far as the division into 10 parts. It would be well to ask them further. Then let him begin again, and suppose an orange instead of an apple. After applying the division to several different things, a line may be drawn on the blackboard and divided. It is well often to require the pupil to make the requisite division of a line on the board. 12. A man had a bushel of corn, and wished to give 1 half of a bushel apiece to some laborers; how many could he give it to? 13. How many halves are there in 1 ? 14. A man divided 2 barrels of flour among his laborers, giving them 1 half of a barrel apiece; how many men did he give it to ? 15. How many halves are there in 2 ?* 16. In 3 bushels of corn how many half bushels ? 17. How many halves are there in 3? 18. A boy divided 4 oranges among his compan. ions, giving them 1 half of an orange apiece; how many boys did he give them to? 19. How many halves are there in 4 ? * See the Key which was 1 fourth of what he had; how many had he? 3. A man paid away 4 dollars, which was 2 thirds of all the money he had; how much had he? 4. A man sold a watch for 18 dollars, which was 3 fourths of what it cost him; how much did it cost? 5. A man sold a cow for 15 dollars, which was 3 fifths of what the cow cost; how much did he lose by his bargain? 6. A man bought 12 yards of cloth, and sold it for 54 dollars, which was 9 eighths of what it cost him; what did it cost him a yard? and how much did he gain by his bargain? 7. There is a pole standing in the water, so that 10 feet of it is above the water, which is 2 thirds of the whole length of the pole; how long is the pole? 8. There is a pole 2 thirds under water, and 4 feet out; how long is the pole? 9. There is a pole 2 fifths under water, and 6 feet out of the water; how long is the pole ? 10. There is an orchard, in which 3 sevenths of the trees bear cherries, and 2 sevenths bear peaches, and 10 trees bear plums; how many trees are there in the orchard? and how many of each sort? 11. There is a school, in which 2 ninths of the boys learn arithmetic, 3 ninths learn grammar, 1 ninth learn geography, 1 ninth learn geometry, and 12 learn to write; how many are there in the school? and how many attending to each study? 12. A man sold a watch for 63 dollars, which was 7 fifths of what it cost him; how much did he gain by the bargain? |