CONTENTS.

I.

SECTION I, pp. 9-25, contains addition, subtraction, mu'tiplication, and division, and numbers are expressed only by words. The very young pupil will be aided in solving the examples by sensible objects, such as knives, cents, marbles, apples, fingers, etc.

II.

SECTION II, pp. 26-47, introduces the Arabic figures and Arithmetical signs. The examples are similar to those in Section I, and a little more difficult.

III.

SECTION III, pp. 48-75, presents the elements of fractions, and operations upon whole numbers are continued and extended.

IV.

SECTION IV, pp. 75-92, defines fractions, the fractional form is introduced, and the principles of fractions are still further developed.

V.

SECTION V, pp. 93-101, gives the tables of compound numbers and practical examples on the same.

VI.

SECTION VI, pp. 101-124, gives a variety of practical examples, together with the more complicated combinations of fractions.

VII.

SECTION VII, pp. 125-138, introduces several notes, giving more or less minute suggestions with reference to the various operations in fractions.

VIII.

SECTION VIII, pp. 139-148, develops some of the more important principles in per centage.

IX.

SECTION IX, pp, 149-163, consists of a few Lessons composed of miscellaneous examples, together with Multiplication and Review Tables.

X.

In pp. 164-176, a few of the more simple principles of Written Arithmetie are given. These pages may be studied with or after the preceding pages.

INTELLECTUAL ARITHMETIC.

SECTION FIRST.

LESSON I.

1. HENRY had one knife, and he has found another; how many knives has he now?

2. Charles bought an orange for two cents, and an apple for one cent; how many cents did he pay for both?

3. Mary gave two peaches to Sarah, and kept two herself; how many peaches had she at first?

4. If you have four marbles in one hand, and three in the other, how many have you in both?

5. If you have four fingers on each hand, how many fingers have you on both hands ?

6. James found five apples under one tree, and four under another; how many apples did he find under both trees?

7. Addie has five canaries, and Ella has three; how many canaries have they together?

8. Robert had three peaches, but he has given one of them away; how many peaches has he now?

9. John having four cents, spent two of them for an orange; how many cents has he now?

10. David has five cents in one hand, and two cents in the other; how many cents has he in both hands? How many more in one hand than in the other? 11. Frank has six gray squirrels, and Herbert has three; how many squirrels have they both?

12. Edwin has six figs, and Philip has four; how many more figs has Edwin than Philip? How many have they both?

13. William having eight plums, gave five of them to Louisa; how many did he keep? How many less did he keep than he gave away

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14. Edward has six doves, and Charles has eight; how many more has Charles than Edward? How many have they both?

15. Lewis bought a pig for eight dollars, and sold it for ten dollars; how much did he gain?

16. A man bought a sled for ten dollars, and sold it for seven; how much did he lose?

17. A man owing ten dollars, paid four dollars; how much did he still owe?

18. A man owing ten dollars, paid all but four dollars; how much did he pay?

19. Mr. Adams sold a pig for three dollars, and a sheep for six dollars; how many dollars did he receive for both?

20. Albert has eight rabbits, and Arthur has two; how many rabbits have they both?

21. George found seven eggs in one nest, and three in another; how many eggs did he find?

22. Frank gave three cents for an orange, and had seven cents left; how many cents had he at first?

23. If a melon is worth ten cents, and an orange is worth four cents, how many cents are they both worth? How much more is the melon worth than the orange ? 24. Mary had nine cents, and her mother gave her three; how many cents had Mary then?

25 Robert had ten peaches, but he has given four of them to David; how many peaches has Robert now? How many more than David?

26. Mr. Day bought a barrel of flour for ten dollars, and sold it for two dollars more than he gave for it how much did he receive for it?

27. A boy having twelve walnuts, gave away five of them; how many had he left?

28. Bought a ton of coal for ten dollars, and a cord of wood for six dollars; what did I pay for both? How much more for the coal than for the wood?

LESSON II.

1. Two and one are how many? 2. Three and one are how many? 3. Four and one are how many ? 4. Five and one are how many ? 5. Six and one are how many ? 6. Seven and one are how many? 7. Eight and one are how many? 8. Nine and one are how many? 9. Ten and one are how many? 10. Two and two are how many ? 11. Three and two are how many` 12. Four and two are how many? 13. Five and two are how many ? 14. Six and two are how many? 15. Seven and two are how many? 16. Eight and two are how many ? 17. Nine and two are how many ? 18. Ten and two are how many? 19. Two and three are how many? 20. Three and three are how many? 21. Four and three are how many? 22. Five and three are how many? 23. Six and three are how many ? 24. Seven and three are how many? 25. Eight and three are how many ? 26. Nine and three are how many ? 27. Ten and three are how many ? 28. Two and four are how many ? 29. Three and four are how many.

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30. Four and four are how many? 31. Five and four are how many ? 32. Six and four are how many ? 33. Seven and four are how many? 34. Eight and four are how many? 35. Nine and four are how many ? 36. Ten and four are how many ? 37. Two and five are how many? 38. Three and five are how many? 39. Four and five are how many ? 40. Five and five are how many? 41. Six and five are how many ? 42. Seven and five are how many? 43. Eight and five are how many? 44. Nine and five are how many? 45. Ten and five are how many? 46. Two and six are how many? 47. Three and six are how many? 48. Four and six are how many? 49. Five and six are how many ? 50. Six and six are how many? 51. Seven and six are how many 52. Eight and six are how many ? 53. Nine and six are how many ? 54. Ten and six are how many? 55. Two and seven are how many? 56. Three and seven are how many? 57. Four and seven are how many ? 58. Five and seven are how many? 59. Six and seven are how many? 60. Seven and seven are how many ? 61. Eight and seven are how many ? 62. Nine and seven are how many? 63. Ten and seven are how many ? 64. Two and eight are how many? 65. Three and eight are how many? 66. Four and eight are how many?

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