EXAMINATION QUESTIONS

FOR TESTING PROFICIENCY, FOR PROMOTIONS, AND FOR SUPPLEMENTARY PRACTICE. ARRANGED FROM PAPERS USED IN VARIOUS CITIES.

FUNDAMENTAL RULES.

414. 1. Write in words the following: 4238 145 x 24.

2. What is the difference between 24 times 325 and 36 times 245?

3. How many more times is 16 contained in 192 than it is in 64 ?

4. Multiply 125 by 9, and write the product in figures and in words.

5. John has 20 marbles and James has 12. How many marbles must John give James that each may have the same number?

6. The salary of the President of the United States is $50000 a year. How much is that a month?

the

7. What number must be added to 365 to make 730?

8. Henry is 16 years old, and one half of his age is twice age of his brother. What is his brother's age?

9. (12 × 9) + 12 = 5 x ?

10. How many hours are there in January?

415. 1. The product of three factors is 56700; two of the factors are 42 and 75. What is the third factor?

2. The dividend is 50000, the quotient is 136, and the remainder 360. What is the divisor?

3. Divide 149184 by 84, and write the quotient in figures and in words.

4. Two men, who are 1224 miles apart, travel towards each other; one 32 miles a day and the other 36 miles a day. In how many days will they meet?

5. The minuend being 26402 and the remainder 18725, what is the subtrahend?

6. The product is how many times the multiplicand? When is it a concrete number?

7. Multiply 40800 by 30600. Why is the product an abstract number?

8. A farmer bought 8 horses for $75 each, and 6 horses for $125 each, and sold them all for $120 each. How many dollars did he gain?

9. Divide 381600 by 123, and prove your work.

10. A man bought 240 acres of land at $ 26 an acre, giving in payment a house valued at $ 2820 and horses valued at $180 each. How many horses did he give?

416. 1. What is the difference between a figure and a number?

2. Read 40090.049. What name is given to the number at the left of the point?

3. How may you prove subtraction?

example.

Illustrate by an

4. Give the sum of all the numbers in the next four examples.

5. If 3008.7 is the minuend and 299.99 is the subtrahend, what is the remainder?

6. If 8467 is the remainder and 44 is the subtrahend, what is the minuend?

7. Multiply 387.5 by 6. Perform the same example by addition.

8. Divide 86784 by 87, and prove the work.

9. A man bought a cow for $85, a horse for $165, and a carriage for $276. How much more did he pay for the carriage than for both horse and cow?

10. A man sold 108 acres of land at $205 per acre, and with the money purchased horses at $75 each; how many did he get?

417. 1. The multiplicand is 87040, the multiplier is 6080. What is the product?

2. One cord of wood contains 128 cubic feet. How many cubic feet are there in 75 cords of wood?

3. A farmer sold to a flour merchant 45 bbl. of apples at $3 per bbl., 65 bbl. of potatoes at $2 per bbl., and received in payment 40 bbl. of flour at $6 per bbl., and the balance in money. How many dollars did he receive?

4. If a silk dress containing 17 yards costs $38.25, what is the cost a yard?

5. 84.61 × 27=? At the right of each term write its name. 6. How many pounds of sugar at 12 cents a pound can you get for 18 dozen eggs at 16 cents a dozen?

7. Multiply 814 by 16; add 279 to the product; subtract 384 from the sum, and divide the remainder by 18.

8. Show by an example that either of the factors in multiplication may be used as multiplier without changing the value of the product.

9. A man bought 8 cords of wood at $ 6.50 per cord, 18 tons of hay at $ 21 per ton, 7 bushels of potatoes at $ 0.90 per bushel. He paid $ 75 in cash. How much does he still owe?

10. A man bought ten books; for 4 of them he paid $ 1.50 each, for 3 of them he paid $1.80 each, and for the rest he paid 28 cents each. How much did he pay for all?

418. 1. Divide the product of the sum and difference of 125 and 36 by 48.

2. Bought 360 acres of land for $32400, and sold it for $8400 more than cost. What was the selling price per acre?

3. (of 69543248) — († of 81369) 4. I bought 1265 books, and sold and the remainder for $0.75 each. for them?

=

?

of them at $0.50 each

How much did I receive

5. Bought 18 lb. of steak at 24, 4 doz. eggs at 36, 3qt. of molasses at 18, and a bushel of potatoes for 75%. Required the amount of my bill.

6. In a certain church there are 40 pews that seat 6 people, 35 that seat 5, and 18 that seat 4. The gallery will accommodate 115. At a lecture every seat is filled; the price of admission being 25%, what were the proceeds, 62 complimentary tickets having been used?

7. A farmer bought a cow and 254 sheep for $1134.50. The cow cost $ 55. What did 54 sheep cost?

8. How many 5-cent pieces in $ 720 ?

9. Exchanged a farm worth $4278 for 75 sewing-machines worth $ 45 each, and $ 200 cash. Did I gain or lose, and how much?

10. 6010 × 6020 × 9 18 x?

=

COMMON FRACTIONS.

419. 1. Subtract the sum of all the prime numbers from 1 to 37 from that of all the composite numbers from 4 to 40. 2. Name three composite numbers prime to each other. 3. Reduce,§, 2, §, and √1⁄2 to fractions having the least common denominator, and find their amount.

4. Reduce to their lowest terms

2, 138, 18%, and 1873, using in each case the greatest common divisor.

5. What is a fractional unit, and what is the unit of a fraction? Give an example of each.

6. Find the amount of the following mixed numbers: 45, 6, and 1225. Reduce to lowest terms and least common denominator before you add.

7. From 1752 take 95%, and from 451⁄2 take 257.

8. In what two ways can fractions be multiplied by an integer? Which way is preferable? Why?

9. Multiply 1754 by 12, 124 by 63, and 63 by 12ą.

10. A man who owned of a ship sold g of his interest for $30000. What part of the ship did he sell, and what was the value of the whole ship at that rate?

420. 1. Define a prime number; a composite number; a fraction.

2. Find the greatest common divisor of 182 and 196.

3. Find the least common multiple of 8, 7, 10, 14.

4. Change 131, 61, 1513, to improper fractions.

5. Reduce and 9 to their smallest terms, using the greatest common divisors.

6. Reduce 1335, 217o, 1980, to whole or mixed numbers. 7. Reduce,,,, to equivalent fractions having the least common denominator.

8. When is it necessary to reduce fractions having different denominators to equivalent fractions having a common denominator?

9. A horse traveled 48 miles in one day, 563 the next, 4013 the third, and 4527 the fourth. How far did he travel in all ?

10. From a bin containing 253 bushels of grain there were taken out 52 bushels at one time and 6 bushels at another. How much remained?

421. 1. Find the greatest common divisor of 36, 108, and 420.

.

2. Find the least common multiple of 24, 180, 45, and 60.

3. Required the amount of 123, 163, 244, and 403.

4. Required the difference between 841 and 427.

5. Multiply of 12§ by 36%.

6. Divide 273 by 3 of 81.

7. Reduce

63 9

and to simple fractions.

8. If of a farm is worth $7000, what is of it worth?

9. If a man travels 240 miles in 5 days, how far will he travel in 3 days?

10. A coal-dealer sold of what coal he had on hand for $120, at the rate of $6 a ton. How many tons had he?