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and seventeen and two hundred and fifteen? A hundred and forty-six and two hundred and twenty-two? Three hundred and fifty-seven and two hundred and forty-nine? Ninety-nine from a hundred and seventy-one? Seventy-two from a hundred and seventy-one ? A hundred and forty-two from two hundred and ninety-eight? Two hundred and eighty-seven from four hundred and forty-three? Three hundred and forty-eight from six hundred and twenty-four ? Two hundred and fifteen from a thousand and thirty-two? A hundred and forty-six from three hundred and sixty-eight? Three hundred and fifty-seven from six hundred and six ?

6. Sixty-five and thirty-four, how many A hundred and twenty-six and two hundred and thirty-seven? Two hundred and fifty-four and three hundred and sixty-seven? Four hundred and thirty-eight and two hundred and twenty-one? Six hundred and forty-five and three hundred and twenty-seven ? Two hundred and fifty-four and six hundred and seventy-one ? Sixty-five from ninety-nine? Thirty-four from ninety-nine ? A hundred and twenty-six from three hundred and sixty-three? Two hundred and fifty-four from six hundred and twenty-one ? Four hundred and thirty-eight from six hundred and fifty-nine ? Six hundred and forty-five from nine hundred and seventy-two? Two hundred and fifty-four from nine hundred and twenty-five? Six hundred and seventy-one from nine hundred and twentyfive?

7. Twenty-seven and thirty-three, how many? A hundred and fifty-six and a hundred and fifty-nine ? Two hundred and thirty-eight and three hundred and seventy-nine ? Two hundred and sixty-five and a hundred and twenty-one ? Four hundred and forty-six and three hundred and thirty-two? Five hundred and twenty-seven and two hundred and eighty-eight? Six hundred and ninety-two and a hundred and seventeen? Twenty-seven from sixty? Thirty-three from sixty? A hundred and fifty-six from three hundred and nine ? Two hundred and thirty-eight from six hundred and seventeen? Two hundred and sixty-five from three hundred and eighty-six ? Four hundred and forty-six from seven hundred and seventy-eight? Five hundred and twenty-seven from eight hundred and fifteen? Six hundred and ninety-two from eight hundred and nine?

8. Thirty-nine and fifty-eight? A hundred and sixty-five and two hundred and thirty-nine? Five hundred and twentythree and three hundred and sixty-six ? Two hundred and forty-five and a hundred and eighty-nine ? Six hundred and twenty and four hundred and twenty-six ? Five hundred and eight and four hundred and ninety-nine? A hundred and sixty-two and three hundred and eighty-nine ? Thirty-nine from ninety-seven ? Fifty-eight from ninety-seven ? A hundred and sixty-five from four hundred and four ? Five hundred and twenty-three from eight hundred and eighty-nine ? Two hundred and forty-five from four hundred and thirty-four ? Six hundred and twenty from eight hundred and forty-six ? Five hundred and eight from a thousand and seven ? A hundred and sixty-two from five hundred and fifty-one ? Three hundred and eighty-nine from five hundred and fifty-one?

SECTION XII.- Increase and Decrease by more than one

Number.

[In the questions requiring subtraction below, the teacher can either direct his pupils to take the smaller number from the sum of the larger, or to subtract them separately. The former is the easier method; the latter will insure more mental discipline.]

1. Two, and three, and five, how many ? Five, and four, and eight? Six, and nine, and ten? Fourteen, and nine, and five ? Sixteen, and fourteen, and eight, less six ? Twenty, and eight, less five, and thirteen? From ten take five and three ? From ten take two and three ? From ten take two and five ? From seventeen take eight and four ? From seventeen take five and four ? From seventeen take eight and five ? From twenty-five take nine and ten? From twenty-five take six and nine ? From twenty-five take six and ten? From twentyeight take nine and five? From twenty-eight take fourteen and nine ? From twenty-eight take fourteen and five? From thirty-two take fourteen and eight less six ? From thirty-two take sixteen and fourteen? From thirty-two take sixteen and eight less six ? From thirty-six take eight less five, and thirteen? From thirty-six take twenty, and eight less five? From thirty-six take twenty and thirteen?

2. Four, and five, and three, and eight, how many ? Six, and seven, and four, and thirteen less nine ? Seventeen less

three, and five, and eight less four ? Nine, and eighteen less seven, and eight, and six ? From twenty, take five, and three, and eight? From twenty, take four, and five, and three? From twenty, take four, and five, and eight? From twenty, take four, and three, and eight? From twenty-one, take seven, and four, and thirteen less nine? From twenty-one, take six, and seven, and four ? From twenty-one, take six, and seven, and four? From twenty-one, take six, and seven, and thirteen less nine ? From thirty-one, take five, and eight, and four ? From thirty-one, take seventeen less three, and five, and eight? From thirty-one, take seventeen less three, and five, and four ? From thirty-one, take seventeen less three, and eight, and four ? From thirty-four, take eighteen less seven, and eight, and six ? From thirty-four, take nine, and eighteen less seven, and eight? From thirty-four, take nine, and eighteen less seven, and six ? From thirty-four, take nine, and eight, and six ?

3. Seventeen, and eight, and twenty-four less nine, how many ? Seventeen, and six, and thirty-five less seven? Twentythree, and thirteen, and fifteen less seven ? A hundred and five, and eight, and seventeen less three ? From forty, take seventeen, and eight? From forty, take eight, and twenty-four less nine? From forty, take seventeen, and twenty-four less nine ? From fifty-one, take seventeen, and six ? From fiftyone, take six, and thirty-five less seven? From fifty-one, take seventeen, and thirty-five less seven ? From forty-four, take twenty-three, and thirteen? From forty-four, take thirteen, and fifteen less seven? From forty-four, take twenty-three, and fifteen less seven? From a hundred and twenty-seven, take eight, and seventeen less three ? From a hundred and twenty-seven, take a hundred and five, and eight ?

From a hundred and twenty-seven, take a hundred and five, and seventeen less three?

4. Fourteen, and eighteen, and fifteen less four, how many ? Thirty-four, and twenty-six less five, and seventeen? Fortyseven, and fourteen less three, and thirty-two ? Fifteen, and twenty-four, and six, and eight? From forty-three, take fourteen, and eighteen? From forty-three, take eighteen, and fifteen less four? From forty-three, take fourteen, and fifteen less four ? From seventy-two, take thirty-four, and twenty-six less five? From seventy-two, take twenty-six less five, and seventeen? From seventy-two, take thirty-four and seventeen ? From ninety, take forty-seven, and fourteen less three? From

ninety, take forty-seven and thirty-two? From ninety, take fourteen less three, and thirty-two? From fifty-three, take fifteen, and twenty-four, and six ? From fifty-three, take twentyfour, and six, and eight? From fifty-three, take fifteen, and six, and eight? From fifty-three, take fifteen, and twenty-four, and eight?

5. Seventeen, and four, and sixteen, and five, how many ? Twenty-three less eight, and twenty-nine less seven, and thirteen? Seventeen less four, and eighteen less two, and eight? Fourteen, and fifteen, and seventeen, and nine ? From fortytwo, take seventeen, and four, and sixteen? From forty-two, take four, and sixteen, and five? From forty-two, take sixteen, and five, and seventeen? From forty-two, take five, and seventeen, and four ? From forty-two, take seventeen, and sixteen, and five? From forty-two, take seventeen, and four, and five ? From fifty, take twenty-three less eight, and twentynine less seven? From fifty, take twenty-nine less seven, and thirteen? From fifty, take thirteen, and twenty-three less eight? From thirty-seven, take seventeen less four, and eight less two ? From thirty-seven, take eighteen less two, and eight? From thirty-seven, take seventeen less four, and eight? From fifty-five, take fourteen, and fifteen, and seventeen? From fifty-five, take fifteen, and seventeen, and nine ? From sixtyfive, take seventeen, and nine, and fourteen?

6. Thirteen, and sixteen, and twenty-five less six, how many ? Fourteen, and eighteen, and three, and nine ? Twenty-seven, and thirty-two, and fifty-one, and four ? Sixteen, and fourteen less five, and four, and seven? From forty-eight, take thirteen, and sixteen? From forty-eight, take sixteen, and twentyfive less six ? From forty-eight, take thirteen, and twenty-five less six ? From forty-four, take fourteen, and eighteen, and three? From forty-four, take eighteen, and three, and nine? From forty-four, take three, and nine, and fourteen? From a hundred and fourteen, take twenty-seven, and thirty-two, and fifty-one ? From a hundred and fourteen, take thirty-two, and fifty-one, and four ? From a hundred and fourteen, take fifty-one, and four, and twenty-seven? From a hundred and fourteen, take four, and twenty-seven, and thirty-two? From thirty-six, take sixteen, and fourteen less five, and four ? From thirty-six, take fourteen less five, and four, and seven? From thirty-six, take four, and seven, and sixteen? From thirtysix, take seven, and sixteen, and fourteen less five ?

SECTION XIII.- Practical Questions. 1. John had four cents; his father gave him six more; each of his two brothers gave him three; and he then bought some apples for five cents. How many cents had he left? How do you know? [Let the pupil explain the process for each question.]

2. A man, who had twenty-five dollars, bought a barrel of flour for seven dollars, some sugar for three, and some coffee for two. How much had he left ?

3. From Brandon to Pittsford is eight miles; from Pittsford to Rutland, eight miles ; from Rutland to Clarendon, six miles; from Clarendon to Wallingford, three miles. How many miles from Brandon to Wallingford ?

4. A man travelled from Washington to Rockville, fourteen miles; from Rockville to Seneca Creek, six miles; from Seneca Creek to Little Seneca, four miles; and thence back to Seneca Creek. How many miles did he travel, and how far was he then from Washington ?

5. A boy bought a box for twenty cents; he paid six cents to have it varnished, and then sold it for twenty-nine cents. Did he gain or lose by his bargains, and how much ?

6. William bought twenty peaches for twenty-five cents ; he sold twelve of them for two cents apiece, and the rest for one cent apiece. Did he gain or lose by his bargains, and how much?

7. A boy bought a peck of apples, and found there were just twenty-five. He gave four to each of his two brothers, put three in his pocket, and divided the remainder between his two sisters. How many did each of the sisters get?

8. Three brothers went to an orchard for apples. John got three; William, five; and James, ten. Their mother told James to give a part of his apples to his brothers, so that each might have the same number. How many had they altogether? how many did each have after they were equally divided ? and how many did James give to John, and how many to William ?

9. A man went out to collect some debts, and to make some purchases. He got fifty dollars from Mr. A., and thirty-five dollars from Mr. B. He then bought a barrel of flour for seven dollars, fifty pounds of sugar for four dollars, and a quarter of beef for six dollars. How many dollars had he left?

10. John had twenty plums. He gave six to each of his two brothers, and six to his cousin Edward. He then went

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