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8 11

5

5

9

5

6

13
13
11

8 7

9

12 13 16

10

18

11 9

ADDITION. and 3 are and 6 are and

4 are and 8

are and 7 are and 3 are and

are and 4

are and 6

are and 7 are and 6 are and 11 are and 7

are and 5

are and 9 are and 7 are and 6 are and 9

are and 8 are and 5

are and 8

are and 9

are

15

SUBTRACTION. 3 from 8, remain 5 6 from 11,

remain 5 4 from 9,

remain 5 8 from 13,

remain 5 7 from 13, remain 6 3 from 11,

remain 8 5

from 12, remain 7 4 from 13, remain 9 6 from 16, remain 10 7 from 18, remain 11 6 from 15, remain 9 11 from 16,

remain 5 7 from 19,

remain 12 5

from 18, remain 13 9 from 24, remain 15 7

from 20, remain 13 6 from 20, remain 14 9

from 23, remain 14 8 from 25, remain 17 5

from 21, remain 16 8 from 23,

remain 15 9 from 28,

remain 19

16

12

19

13

18

[blocks in formation]
[blocks in formation]

12

are

5 8

72 40 64 96

are

7 9

are

are

32

Twice
3 times
6 times
6 times
7

times
7 times
5 times
5 times
5 times
4 times
4 times

8 9

MULTIPLICATION. are 24 8 times are

36 8 times are 42 8 times are

54 8 times are

56 8 times are

63 10 times are 15 11 times 35

11 times are are

45 10 times are

48 12 times are

11 times

12

4 12 7 5

[blocks in formation]

3

[blocks in formation]

7 9

[blocks in formation]

12

are

132

11

[blocks in formation]

11 in

48,

DIVISION 3 in 15, 5

times
9 in
72,

8 times 5 in 40, 8 times

44, 4 times 5 in 55, 11 times

11
in 110,

10 times 7 in 42, 6 times 11 in 132, 12 times 7 in 35, 5 times 11

in 121,

11 times 7 in 77, 11 times

4 in 32, 8 times 8 in 56,

7 times

12 in

24,

2 times 8 in 64, 8 times 12 in 36, 3 times 9 in 54, 6 times 12 in

4 times 9 in 63, 7

times

12 in 96, 8 times 9 in 45, 5 times

12 in 120, 10 times The monitor will form questions from the foregoing key in the following manner.

ADDITION. How many are 19 and 9? How many are 15 and 8? How many are 16 and 5 ?

SUBTRACTION. Nine from 28, how many remain? 8 from 23, how many remain?

MULTIPLICATION. How many are 11 times 1? How many are 12 times 11?

DIVISION How many times 11 in 121 ? He must begin with the head of the class, and proceed as in spelling : For instance, No. 1, How many are 19 and 9 ? If he answer right, let him retain his place; if not, let the first boy that answers the question correctly, have precedence.

Note.-I begin at the bottom of the page, because there the numbers will form more difficult questions than those at the top, and generally the best scholars are near the head of the class.

I do this to encourage those toward the foot of the class, who are not so forward as others : For if a boy can answer and say, 5 and 3 make 8, he will be better pleased than to answer with a negative shake of the head. This partiality, however, is not allowable when striving for a prize.

END OF PART THIRD.

PART IV.

CONTAINING,

COMPOUND MULTIPLICATION.

COMPOUND MULTIPLICATION.

KEY TO CARD No. 17.

LESSON 1. If 1 yoke of oxen, cost £ 32 16 8 2 what will 2 yoke cost?

2

Answer,

£ 65 13 5 0

OPERATION IN WORDS. Begin with the farthings, and say, twice 2 are 44 far. things make one penny; set down 0 and carry the 1 penny to the pence.

Pence. Twice 8 are 16, and one I carried makes 17-17 pence make one shilling and five pence; set down 5 and carry to the shillings.

Shillings. Twice 6 are 12, and one I carried are 13; set down 3 in units' place of shillings, and carry 1.; then say, twice 1 is 2, and one I carried is 3—the half of 3 is 1, and 1 over -set the 1 over on the left side of the 3, and carry the half to the pounds.

Pounds. Twice 2 are 4, and one I carried makes 5; set down 5. Twice 3 are 6-set down 6.

Answer in words, Sixty-five pounds, thirteen shillings, and five pence.

Then say,

how many

KEY TO CARD No. 17.

PROOF OF LESSON FIRST BY Division. Write down in figures, 2)65 13 5 0

32 16 8 2 Prepare your work as you see it on the Card, under proof of Lesson 1.

how
many

times 2 in 6?-3 times ; set down 3 and say,

times 2 in 5?-twice and i over; set down 2 on the right hand side of the 3, and call the 1 over, 1 pound, which makes 20 shillings to carry to the shillings.

Shillings. Twenty shillings I carry from the pounds to 13 make 33 shillings-how many times 2 in 33 ?-16 times and 1 over; set down 16.

Pence. One over I carry from the shillings makes 12 pence, and 5

pence are 17; how many times 2 in 17 ?-8 times and 1 over; set down 8 and carry the 1 to the farthings.

Farthings. One penny over

I carry

makes 4 farthings, how many times 2 in 4?-twice; set down 2.

Proof in words, Thirty-two pounds, sixteen shillings, and eight pence, half-penny.

LESSON 2. If 1 yard of cloth cost 2

£2 5 6 1 what sum will 3 yds. cost?

3

Answer,

£ 6 16 6 3

Farthings. Three times 1 makes 3; set down 3.

Pence. Three times 6 are 18—18 pence make 1 shilling and 6 pence; set down the 6

pence,

and
carry

the 1 shilling

Shillings. Three times 5 are 15, and one I carry makes 16; set down 16 shillings.

KEY TO CARD No. 17.

Pounds.
Three times 2 are 6; set down 6 pounds.

Answer in words, Six pounds, sixteen shillings, and six pence, three farthings.

PROOF OF LESSON 2.
Write in figures £ 6 16 6 3, place a 3 before pounds
as on the card.

3)6 16 6
2 5 6 1

Pounds.
How many times 3 in 6? 2 and nothing over; set down 2.

Shillings.
How many times 3 in 16?-5 times, and i over I I carry

3

3

:

to the pence.

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Pence.
One shilling over I carried, makes 12 pence, and 6 are
18; how many times 3 in 18?–6 times; set down 6.

Farthings.
How many times 3 in 3 ? once; set down 1.
Proof in words, Two pounds five shillings, and six

pence farthing

LESSON 3. If one load of wheat, cost £ 16 16 11 2, what will 4 loads cost? ?

4

7

Answer, £ 67 10 0

Farthings.
Four times 2 are 848 farthings make 2 pence; set down
O and carry 2 to the pence.

Pence.
Four times 11 are 44, and 2 I carried make 46–46 pence
· are 3 shillings and 10 pence; set down 10, and carry 3 to
the shillings.

Shillings.
Four times 6 are 24, and 3 I carried are 27-set 7 in the

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