LESSON II.

DEVELOPMENT OF NUMBERS BY 3's.

1. 3+3+3+3+3+3+3+3+3+3+3+3=?
2. 2+3+3+3+3+3+3+3+3+3+3+3=?
3. 1+3+3+3+3+3+3+3+3+3+3+3=?
4. 1x3=? 2x3=? 3x3=? 4x3=? 5×3=?
6x3=? 7x3=? 8x3=? 9x3=? 10×3=?
11x3=? 12x3=?

5. 36-3-3-3-3-3-3-3-3-3-3-3-?

6.

7.

8.

35-3-3-3-3-3-3-3-3-3-3-3=?
34-3—3—3—3—3—3—3--3—3—3—3=?

3÷3=? 6÷3-? 9÷÷3=? 12÷3=? 15÷3=? 18÷3 ? 21÷3=? 24÷÷3=? 27÷÷÷3=? 30÷3=? 33÷3 ? 36÷3=?

9. 12 is 3 more than what number? 3 less than what number?

10. 26 is 3 more than what number? 3 less than what number?

11. 6 times 3 equals what number? 9 times 3 equals what number?

12. 15 is 3 times what number? 27 is 3 times what number?

13. What number is contained 3 times in 24? What number is equal to 3 times 7?

14. What number is 3 less than 22? 3 more than 28? 15. 36 is 3 times what number? 3 can be taken from 12 how many times?

16. Of what number is 8 one third? 6 is one third of what number?

17. What 2 equal numbers are contained in 6? What 4 equal numbers equal 12?

18. 7 times 3 and 2 more equals what number? 9 times 3 and one more equals what number?

19. What is one of the 6 equal numbers contained in 18? 3 is contained in 27 how many times?

20. Henry had 25 dollars, and earned 3 dollars more. How many did he then have?

21. A girl having 31 cents, spent 3 cents for pins. How many cents did she have left?

22. One ton of coal costs 8 dollars. How much will 3 tons cost at the same rate?

23. James had 12 pigeons, and his father had 3 times as many. How many pigeons had his father?

24. One yard of ribbon costs 3 cents. At the same rate, how many yards may be bought for 18 cents?

25. How many yards of cloth, at 3 dollars a yard, may be bought for 36 dollars?

26. One third of 24 dollars was paid for a hat. How much did it cost?

27. A vest cost 9 dollars, and a coat 3 times as much, and 2 dollars more. How much did the coat cost?

LESSON III.

DEVELOPMENT OF NUMBERS BY 4's.

1. 4+4+4+4+4+4+4+4+4+4+4+4=?
2. 3+4+4+4+4+4+4+4+4+4+4+4=?
3. 2+4+4+4+4+4+4+4+4+4+4+4=?
4. 1+4+4+4+4+4+4+4+4+4+4+4=?
5. 1x4? 2x4=? 3x4=? 4x4=? 5×4=?
6x4=? 7x4=? 8x4=? 9x4=? 10x4=?
11x4=? 12×4=?

6.

7.

48-4-4-4-4-4-4-4-4

—4—4=?

47-4-4-4-4-4-4-4-4-4-4-4-?

8.

9. 10.

46-4-4-4-4-4-4-4-4-4—4—4—?

45-4-4-4-4-4-4-4-4-4—4—4=?

4÷4=? 8÷4 ? 12÷÷÷4=? 16÷4=? 20÷÷4=? 24÷4 ? 28÷4=? 32÷÷4=? 36÷÷4=? 40÷÷4=? 44÷4 ? 48÷÷÷4=?

11. 20 is 4 more than what number? 4 less than what number?

12. 38 is 4 more than what number? 4 less than what number?

13. 28 is four times what number? 48 is 4 times what number?

14. What number is contained 4 times in 48? 4 times in 36?

15. What number is 4 more than 27? 4 less that 45? 16. What number should be added to 33 to obtain 37? 4 can be taken from 20 how many times?

17. 3 is one fourth what number? 8 is one fourth what number?

18. Of what number is 7 one-fourth? 6 is one fourth what number?

19. What number should be added to 4 times 7 to obtain 32? 4 times 6 and 3 more equals what number?

20. 9 times 4 and 2 more equals what number? 4 is contained in 48 how many times?

21. A man had 35 cents, and gave 4 of them for some apples. How many had he left?

22. Grace had 39 nuts, and found 4 more. had she then?

How many

23. How much will 4 oranges cost, if 1 orange costs 9 cents?

24. James has 12 dollars, and his father has 4 times as many. How many has his father?

25. If one hat is worth 4 dollars, how many hats may be bought for 28 dollars?

26. Julia is one fourth as old as her mother, and her mother is 36 years old. How old is Julia?

27. A boy had 12 cents, and his sister had 4 times as many. How many cents had his sister?

28. A girl is 9 years old, and her father is 4 times as old, and 3 years more. How old is her father?

29. A person had 24 dollars, and put it into piles of 4 dollars each. How many piles were there?

30. Anna bought 8 pears at 4 cents each, and had 3 cents left. How much money had she at first?

LESSON IV.

1.

DEVELOPMENT OF NUMBERS BY 5's.

5+5+5+5+5+5+5+5+5+5+5+5=? 2. 4+5+5+5+5+5+5+5+5+5+5+5=? 3. 3+5+5+5+5+5+5+5+5+5+5+5=? 4. 2+5+5+5+5+5+5+5+5+5+5+5=? 5. 1+5+5+5+5+5+5+5+5+5+5+5=?

1x5 ? 2x5=? 3x5=? 4X5=? 5X5=? 6×5=? 7×5=? 8x5=? 9x5=? 10×5=? 11x5=? 12×5=?

60-5—5—5—5—5—5—5—5—5—5—5—?
59-5-5-5-5-5-5-5-5-5-5-5-?

9.

10.

58-5-5-5-5-5-5-5-5-5-5-5-?

57-5-5-5-5-5-5-5-5-5-5-5=?

11.

12.

56-5-5-5-5-5-5-5-5-5-5-5=?

55 ? 10÷5 ? 15÷5=? 20÷5=? 25÷5=? 30÷5 ? 35÷5 ? 40÷5=? 45÷5=? 50+5=? 55÷5 ? 60÷5=?

13. 25 is 5 greater than what number? 5 less than what number?

14. 40 is 5 more than what number? 5 less than what number?

15. 35 is 5 times what number? 60 is 5 times what number?

16. What number is contained 5 times in 45? 5 times in 30?

17. What number is 5 less than 43? 5 more than 53?