TEST QUESTIONS.

374. Arranged, by permission, from examinations given in various cities.

1. Define addition, sum, sign of equality, subtraction, remainder, subtrahend, minuend, parenthesis, multiplication, factors, multiplicand.

2. Multiply 7258 by 395, and write each partial product in words.

3. Subtract 8969 from 9782, and prove the work.

4. Prove by an illustration that multiplication resembles addition.

5. Solve: $73.46 ($.94 + $3.02)+ $47 × 35.

6. Write in figures, XLVII.

7. Write in figures, six hundred eight thousand seventytwo.

10. Divide 45897 by 490, and prove that your work is

correct.

375. 1. Copy and find the sum: $23.17, $6043.05, $0.42, $208.97, $5486.04.

2. How many yards of linen, at 28 cents a yard, must be given for 35 bushels of potatoes, at 56 cents per bushel?

3. A man paid $13,465 for a house and some land. The house alone was worth $8,978. What was the value of the land?

4. Write this number in words, 3,782,013.

5. Write in words, XCV.; 76508.904.

6. How many bushels of potatoes at 50 cents a bushel will pay the entire cost of a hat at $7.50, a dress at $24, a cloak at $16.25, and gloves at $1.75?

7. 6460000 × 3000 ÷ 25000000

way.)

=

? (Use shortest

8. If the dividend is 1761184 and the quotient 4684, what is the divisor?

9. What is the smallest number that will exactly contain 16, 20, 24, or 30?

10. Define dividend, remainder, product, the prime factors of a number. How do you prove division?

376. 1. Define multiplier; concrete number.

2. How can you prove an example in subtraction? 3. A merchant bought 375 bbl. of apples at $.95 a bbl.; 43 bbl. rotted; if he sells the rest at $1.10 per bbl., how much does he gain or lose on all ?

4. My salary is $2350 a year, and I spend $4 a day; how much will I save in six years?

5. If 23 men own 475 bbl. of apples each, and 4 of them divide theirs equally among the rest, how many will each have then?

6. Find the prime factors of 1155.

7. If my salary is $1400 per year, and my expenses $90 per month, how long will it take me to save $4160?

8. What is the smallest quantity of grain that will fill an exact number of bins, whether they hold 312, 260, or 390 bushels ?

9. What are like numbers?

Give three.

10. From Albany to West Troy is 5 miles, from West Troy to Cohoes 2 miles, and from Cohoes to Saratoga is 30 miles. How far is it from Albany to Saratoga?

377. 1. Write in words 23456789.

2. Find the greatest common divisor of 75, 25, and 500, and their least common multiple.

3. If 7 tons of hay cost $105, what will be the cost of 289 tons?

4. Write the number which is composed of 3 units of the eighth order, 6 of the fifth, 2 of the third, and 9 of the second.

5. Find the contents of the smallest measure that may be filled by using either a 4-quart, a 5-quart, or a 6-quart

measure.

6. Find the prime factors of 1452.

7. Solve by cancellation: A man receives $21 for 15 days' work of 7 hours each. How much should he receive for 19 days' work of 5 hours each?

8. The product of three numbers is 105840; one of the numbers is 42, the other 35. What is the third number?

9. How many pounds of butter at 20 a pound are worth as much as 1600 bushels of wheat at 75¢ a bushel? 10. What is the greatest common divisor of two or more numbers?

378. 1. Two persons start from the same point and travel in opposite directions; one at the rate of 25 miles a day, and the other at the rate of 32 miles a day. How far apart will they be in 8 days?

2. What is the product of 20202 × 10101?

3. What number multiplied by 1728 will produce 1705536?

4. A man has $8250; how much must he add to this to be able to pay for a farm worth $10000 ?

6. Bought 144 acres of land at $41.25 an acre, and sold the whole for $7000. Did I gain or lose? and how much?

7. If 3 oranges are worth of a melon, what part of the melon is 1 orange worth?

8. Austin having 30 marbles, gave of them to one companion and of them to another. left?

9. How many eggs in 12 dozen?

How many had he

10. Write the present year in Roman numerals.

379. 1. George gave a beggar 9 cents, which was of all the money he had. How much money had he?

2. Mary is 14 years old, and her sister is as old. How old is her sister?

3. What is a mixed number?

4. How many ninths in 57 ?

5. At of a dollar a pound, what will 8 pounds of butter cost?

6. What will of a pound of coffee cost at 28 cents a pound?

7. If a man earns $15 a week and spends of it, how much does he save?

8. What do you understand by of anything?

9. Change 1427 to an improper fraction.

10. A boy having 20 quarts of blueberries, sold % of them for $. What was the price for a quart?

380. 1. If I put of my money in one bank, ↓ in another, in another, and have $4,200 besides, how much have I?

2. A can mow a field in 10 days, B in 8 days, and C in 5 days. When working together, how many days will they need?

3. If 6 is added to both terms of the fraction }, how much is the fraction increased or diminished?

4. The divisor is 46, the quotient 605, and the remainder 23. What is the dividend?

5. From the sum of 3 and take the sum of and 3.

34

6. How many cords of pine wood at $3.25 a cord must be given for 12 yards of broadcloth at $2.10 a yard? Work and analyze.

7. Find the prime factors of 13860.

9. Find the sum of the prime numbers under 20.

10. Reduce to lowest terms.

381. 1. Write in Roman notation 1894.

2. Write the prime numbers from 1 to 18 inclusive. 3. If 3 boxes of oranges cost $53, how many boxes can be bought for $17?

4. A farmer sold 64 sheep, and had of his flock left. many had he left?

How

6. How many barrels of flour at $6 a barrel must be given for 3 pieces of linen, each containing 36 yds., at 25 ct. a yard?

7. A farmer sold at market 15 sheep at $25 each, and bought 7 yards of cloth at $13 per yard. How much money did he take home?