COLLEGE ENTRANCE-EXAMINATION

PAPERS.

548. Brown University, 1880.

1. Divide fifty millionths by six hundred twenty-five tenthousandths, and express the quotient in words.

2. A merchant owned 1 of a stock of goods; of the whole stock were destroyed by fire, and of the remainder damaged by water. How much did the merchant lose, provided the uninjured goods were sold at cost for $ 4200, and the damaged at half the cost?

3. How many hektoliters of oats can be put into a bin that is 2m long, 1.3m wide, and 1.5" deep?

4. Sold a village lot for $230, which was 8 per cent less than cost. Had it been sold for $ 300, what would have been the gain per cent?

2. Find the sum and product of }, }, §. 3. Find the cube root of 3845672000.

4. Find the square root of 3534400.5.

5. A platform bears a weight of 100 lb. per square foot. What is the weight in kilograms per square meter?

6. A horse that cost 63 per cent of $25000 was sold for $1000. What was the loss per cent?

550. Trinity College, 1880.

1. Subtract thirty million twenty-six thousand three from 45007021. Find what number must be added to the difference to make one hundred million, and write the answer in words.

2. The sum of and is diminished by. How many times does the difference contain of the sum of 1, 3, and ?

3. Divide 375 by .75, and .75 by 375, and find the sum and the difference of the quotients.

wagon it

4. A loaded wagon weighs 2 T. 3 cwt. 48 lb. ; the The load consists of 215 packages, Find the weight of each, and re

self weighs 18 cwt. 75 lb. each of the same weight.

duce it to grams and kilograms.

5. Define interest, and give and explain the rule for computing the interest on any sum of money for any time and at any rate per cent.

6. Extract the square root of 184.2 to three places of decimals.

551. Harvard University, 1880.

1. Find the greatest common divisor of 315, 504, and 441.

3. How many hektoliters are there in 57 gallons 3 pints?

1 liter = 0.2642 gal.; 1 gallon = 8 pt.

4. How much paper, 14 yd. wide, will be needed to paper the walls of a room 10 feet high, 18 feet long, 12 feet broad?

5. I sold a lot of sugar for $230, and thereby lost 8 per cent of the cost. What per cent should I have gained if I had sold the sugar for $300?

tract the square root of the quotient to two decimal places.

2. Find a fourth proportional to .37, 8.9, 4.3, and extract the cube root of it to two decimal places.

3. Reduce 16 rods 2 feet and 8 inches to the decimal of a

mile.

4. What is the length in meters and decimeters of a side of a square which contains .1335 are ?

553. Dartmouth College, 1879.

41 +21 ÷ 3

1.

?

61 - 13 × 3

2. Find the least common multiple and the greatest common divisor of 6, 8, 20, and 36.

3. How many meters in 25 feet?

4. Find the square root of 3530641.

5. Gold was quoted at $1.12. What was a one-dollar greenback worth?

6. $1200 includes a sum to be invested, and a commission of five per cent of the sum to be invested. What is the sum to be invested?

554. Cornell University, 1880.

1. Define a composite number, a factor, an abstract number, the cube root of a number, equation of payments.

2. What is the value of 50 lb. 8 oz. of gold at $ 20.594 per ounce?

3. Given the meter equal to 39.37 inches, reduce one mile to kilometers. Give the metric table of weights.

4. Divide of 73 by # of 121. Prove the result by reducing the fractions to decimals, and working the example

anew.

5. A man said, "I will spend half my income, save a third of it, and devote a fourth to business." His income was $780 a year. Point out his blunder, and divide his income rightly in the proportion intended by him.

6. How long must $125 be on interest at 7 per cent to gain $ 15?

7. Received 6 per cent dividend on stock bought at 25 per

cent below par.

pay?

What rate of interest did the investment

8. Find the cube root of .726572699.

555. Yale College, 1880.

1. Reduce to a common denominator, and add:

1

3. Find, to three decimal places, the value of

V3

4. Find the fourth term of a proportion of which the first, second, and third terms are, respectively, 3.81, 0.056, 1.67. 5. Reduce 3 R. 13 sq. rd. 8 sq. ft. to the decimal of an

acre.

6. (a) In a board 4m long and 0.4 m wide, how many square decimeters?

2. Find the length in dekameters of the side of a square, the area of which equals the area of a rectangle which is 1 kilometer 8 meters long, and 41 hektometers wide.

3. Find the least common multiple of the even numbers from 10 to 20 inclusive.

4. The interest on $2500 for 2 months 12 days is $45. Find the rate.

5. If 25 men, working 8 hours a day, do of a piece of work in 24 days, in how many days of 10 hours each will 30 men finish the piece of work?

557. University of the State of New York, 1881.

1. Copy and add: 20570, 6206, 98.007, 63000, 426.000626, 4287, 63.961, 102030, 405.0607, 8090, 543.21, 1028848.414995. 2. Express by Arabic notation, MDXCVDCCCLXIV. 3. Express by Roman notation, 84796.

4. Numerate 20567189.004321098.

5. Divide 31984875832 by 96813.

6. Find the value of

(287) × 6+ (92 +7) ÷ 9 (86 + 10) ÷ 12.

7. Divide, using cancellation,

15 x 80 x 27 x 28 by 7 x 20 x 8.

8. Change,,, and, to similar fractions having their least common denominator, and

9. Reduce their sum to decimal form.

10. Find the greatest common divisor of 7955, 8769, 6401. 11. How much must be paid for making 52 rd. 14 ft. 8 in. of fence, at $0.75 per foot?

12. A traveler, on reaching a certain place, found that his watch, which kept correct time for the place he left, was 2 h. 22 min. slower than the local time. Had he traveled eastward or westward, and how far, in circular measure, had he come?

13. What per cent (expressed in words) of 30000 bushels are 50 bushels?

14. What number diminished by 36% of itself = 336 ?