2 in

2, once.

The learner should copy this table, supplying the quotient of each division, and then commit it to memory.

4, 2 times.

6, 2 times.

8, 2 times. 10,

12,

14,

6, 3 times.

9, 3 times.

12,

times. 15,

18,

21,

1. How much is 8 divided by 2? 123? 204? 16÷8?

213 21÷7? 32÷4?

2. How much is 14 divided by 7? 16? 24? 35? 45? 48? 54 ? 56? 63?

3. How much is ? 72? 18? 8412? 847? 77 ÷ 11? 96 12?

How

4. How many cakes at 3 cents apiece can be bought for 9 cents? Ans. As many cakes as there are times 3 cents in 9 cents. many for 15 cents? 27 cents? 30 cents? 36 cents?

5. How many oranges at 4 cents apiece can be bought for 12 cents? 20 cents?

32 cents?

6. How much flour at 5 cents a pound can be bought for 20 cents? 25 cents? 35 cents? 40 cents? 45 cents? 60 cents? Ans. As many pounds as there are times 5 cents in 20 cents, &c.

7. How many pounds of sugar at 8 cents a pound can be bought for 24 cents? 40 cents? 56 cents? 48 cents? 64 cents? 80 cents? 96 cents?

NOTE. When a number or quantity is divided into two equal parts, one of the parts is called one half of the number or quantity. If it is divided into three equal parts, one of the parts is called one third of the number or quantity; and two of the parts are called two thirds of the quantity. If divided into 4 equal parts, one of the parts is called one fourth, two parts are called two fourths, three parts three fourths, &c. 8. If an orange be divided into five equal parts, what is one of the parts called? 2 parts? 3 parts? 4 parts?

9. If a pound of sugar be divided into eight equal parts, what is one of the parts called? 2 parts? 3 parts? 5 parts? 7 parts?

NOTE. Such expressions as one half, one third, two thirds, three fourths, are written,,,, which may be read, one divided by two, one divided by three, two divided by three, three divided by four, or one half, one third, &c.

10. If 12 be divided into 2 equal parts, how much will 1 of the parts be? How much will 1 part be if it is divided into 3 equal parts? Into 4 equal parts? Into 6 equal parts?

16. What is

of 18

To of 70?

of 63

of 40?of 56?of 54? of 56? of 48?

of 72?

of 24?

of 27? of 60? of 55?of 1 of 55?

of 28? of 45? of 27? of 48?

34. 1. What part of 4 apples is 1 apple? 2 apples? 3 apples? Ans. 1 apple is of 4 apples, 2 apples are 2 times one fourth, or two fourths of 4 apples.

2. What part of 5 cakes is 1 cake? 2 cakes? 3 cakes? 7 cakes? 3. What part of $8 is $1? What part are $6? $10? $3? $15? $25?

4. What part of 10 pence is 1 penny? 3 pence? 9 pence? 13 pence?

5. What part of 12 is 1? 3? 5? 7? 15?

20?

6. 4 is what part of 9? Of 12? Of 13? Of 25? 37? 45? 150? 7. If 8 pounds of sugar cost 48 cents, how much is it per pound? Say, 1 pound will cost as much as 8 pounds; of 48 cents is 6 cents. How much will 3 pounds cost?

Ans. 3 pounds will cost 3 times as much as 1 pound, or 18 cents. 5 pounds? 7 pounds?

of 84 ?

12. If 7 yards of cloth cost 63 cents, what part of 63 cents will 1 yard cost? 3 yds.? 4 yds.? 6 yds.?

How much is of 63 cents?

? ? §?

13. If 8 bls. of flour can be bought for 56 dollars, what part of 56 dollars will I barrel cost? 2 bls. 5 bls.? 7 bls.? 12 bls.? 10 bls? 14. How much is of $56?? § ? 7 ? 12 ? 1o of $56?

15. If 12 dollars' worth of provisions last 6 men 1 week, what part of 1 week will 1 dollar's worth last them? 3 dollars' worth? 8 dollars' worth? 15 dollars' worth?

16. If 36 dollars pay the board of 9 men 1 week, what will pay the board of 1 man? 3 men? 8 men? 10 men? 12 men?

II. 17. What is of 20? Of 40?

160? 180?

60? 80? 100? 120? 140?

18. What is of 26? Say one half of 20 is 10, and one half of 6 is 3, which added to 10 makes 13. of 26 is 13.

19. What is of 28? 44? 48? 64? 68? 84? 86? 102? 106? 124? 128?

52

20. What is of 34 34 is equal to 2014; of 20 is 10; of 14 is 7, which added to 10 makes 17. of 34 is 17. of 36? 38? 56 74? 78? 96? 92? 114 118? 134? 158? 21. What is of 30? 60? 90? 120? 150? Say, of 15 is of 150 will be 10 times as much, or 50; therefore of 150 of 180? 210? 240? 270? 300? of 30? 60? 90? 150? 180? 210? &c.

5;

is 50.
120?
22. What is of 36?
added to 10 makes 13;
39?

156? of 36?

23. What is of 42?

Solution. 42=30+12.

of 9 is 3, which 96? 99? 123?

of 30 is 10; of 45?of

of 12 is 4; 10 and 4 are 14; } of 42 is 14. What is

48? of 54?

NOTE. 54= =30+24.

of 57? 72? 75?

24. What is

233

of 42? Of 45? 48? 54? 57? 72? 75?

of 40? 48? 56=40+16? 60=40+20? 68?

80?

=

26. What is 1 fifth of 50? 75=50+25? 80? 95? 100? 110 100+10? 125? 130?

27. What is 3 fifths of 50? 75? 80? 95? 100? 130? 140? 500? 540?

28. What is 1 seventh of 70? 84? 9870+28? 126=70+ 56? 168 140+28?

=

29. What is of 70? 84? 98? 126? 168? 210? 490? 504

35.

of 80?
of 80?

96? 128? 152=80+72? 160? 176?

of 96? of 152? 160? 2 ninths of

1. If an apple be equally divided between two boys, what part of an apple will each have?

2. If 3 apples be equally divided between 2 boys, how much will each have?

NOTE. First divide 2 apples, and then divide the remaining one.

20? 21?

3. How much is of 1 Of 2? Of 3? 4? 5? 6? 7? 8? 9? 10? 11? 12? 15 16 17? 4. In 2 halves how many units? one half.

5. How many units in 4 halves?

In 3 halves? Ans. One unit and

5 halves? 6 halves? 7? 8? 9?

6. If 1 orange be divided equally among 3 boys, what part of an orange will each have? Ans.of an orange.

7. If 2 oranges be divided equally among 3 boys, what part of an orange will each have? Ans. One third of 2 oranges, or

orange.

of one

8. If 3 oranges be thus divided, what will each have? 4 oranges? Divide 3 oranges, then the remaining one. Thus, of 3 oranges is 1 orange; to which adding of the remaining orange makes 1 orange

and of an orange. 5 oranges may be divided thus: of 3 oranges

is 1 orange, and of the remaining 2 oranges is of an orange; which added to 1 orange makes 1 orange and of an orange.

9. How much is of 1? Of 2? 3? 4 5 6? 7? 8? 9? 10 11 12?

10. In 3 thirds how many units? In 4 thirds? In 5 thirds? In 6 thirds? In 7 thirds?

11. If 1 pound of raisins be divided into 4 equal parts, what part of 1 lb. will one part contain? 2 lb.? 3 lb.? 4 lb. 5 lb.? 6 lb.?

9 lb. ?

12. How much is of 1 unit? Of 2 3 5 9? 11? 13? 16? 18 23 31?

13. In 4 fourths how many units? In 5 fourths? In 9 fourths? In 11 fourths? 15 fourths? 18 fourths?

14. If 5 dollars buy one cord of wood, what part of a cord can be bought for one dollar? For 2 dollars? For 3 dollars?

For $6? Ans. 6 fifths of 1 cord, or 1 cord and of a cord.

How many for $8? For $11? $15? $18?

15. How much is 1 fifth of 1 Of 3? 7? Ans. =13.

How much is 1 fifth of 9? 15? 18? 24? 27? 34? 35? 43? 54?

16. How much is 1 sixth of 1? 4? 7? 9? 14? 25? 32? 37 43 55? 64? 72?

cent?

17. When beef is 7 cents a pound, how much can be bought for 1 2 cts.? 5 cts.? 9 cts.? 15 cts. 25 cts.? 38 cts.? 45 cts.? 54 cts.? 68 cts.? 75 cts.? 84 cts.? 18. How much is of 1? 15 23 27? 58? 68? 78? 88? 96?

3?

31 32? 47?

19. How much is 1 ninth of 1? 4?

7? 26 36 46 56?

66 76? 86? 96? 106?

20. How much is 1 tenth of 1? 8? 15 24 37 45? 58? 64 75 86? 97?

21. What is 1 eleventh of 1? 3? 8? 14? 24?

64 74? 84 94? 104?

1142

34 44 54?

22. What is 1 twelfth of 1? 5? 11? 17? 27? 37? 47? 57? 67? 77? 87? 97? 107? 117?

127?

=

II. 36. 1. How much is of 135? Say 135 120+15. Ans. 67.

2. What is of 145?

=180+16?

3. What is

157=140+17? 163? 173? 185? 196

of 30? 33? 44 30+14? 60? 65? 78? 83 =60+23? 90? 105 115?

4. What is of 604020? 67? 74? 80? 93=80+13? 115? 125? 147: =

120+27?

5. What is 1 fifth of 50? 60? 75? 96? 107?

157? 169? 184?

125? 143?

6. What is 1 sixth of 60? 75? 84? 97? 118? 120? 135? 144? 387=360+27?

7. What is 1 seventh of 70? 95=70+15? 114-70+44? 127=70+57? 129? 135? 140?

8. What is of 80?

160+34?

148?

111? 120? 140? 160? 175? 194=

37. 1. How many cords of wood, at 3 dollars a cord, can be bought for 396 dollars?

Since 3 dollars will buy one cord, 396 dollars will buy as many cords as there are times 3 in 396. 396 is equal to 300+ 90 +6. 3 is contained in 300, 100 times; in 90, 30 times; in 6, 2 times. The answer is 132 cords.