654. Written

1. Add:

4763

8257

6039

5872

1397

685

9107

5236

1476

8838

947

86

9432

7943

8688

2. Find, in hectoliters, the capacity of a bin which is 9 m. long, 1 m. wide, and 175 cm. high.

3. How many kilograms of water will fill a rectangular vat which is 5 m. long, 4 m. wide, and .50 cm. deep?

4. What is the duty, at 35%, on a shipment of fur coats invoiced at 2150 marks, less a trade discount of 4%? (1 mark = $.238.)

5. Find, by means of equations, three numbers, of which the first is smaller by 106 than the second, the third larger by 22 than the second, and the sum of the three is 495.

6. A man in St. Paul wishes to send $386 to his family in Berlin. What is the face of the draft which he can buy with that sum, exchange being at 961?

7. A merchant in Galveston owes a bill of £47 108. in Glasgow. What must he pay for a draft for that amount when exchange is at 4.872?

8. On Jan. 1, 1908, the stock of the Wampanoag Mills was quoted at 921. What must be invested in this stock, including brokerage at 1%, to secure 238 shares?

9. The Central Coal and Coke Company paid a dividend of 11% on its common stock, Jan. 15, 1908.

a. What is the dividend on 200 shares?

b. How many shares must I own in order to receive a dividend of $900 ?

10. What must I invest in 41% city bonds at par to obtain. an annual interest of $675 ?

655. Oral

.

1. Draw a vertical line on the blackboard, cutting off 331% of the board. Draw another line, cutting off 25% of what remains. What fraction of the entire board is cut off ?

2. When the dividend on 5 shares of railroad stock is $25, what is the rate of dividend ?

3. What is the annual interest on ten 500-dollar 4% bonds? 4. What is the ratio of 75 to 3?

5. What is the number whose ratio to 45 is ?

6. 7:?; ?: 18=3; ?:? = 6.

=

1

7. 2:47:? 3:8 1:? 3:?=?: 12.

8. Divide $25 among three boys in the ratio of 1, 2, and 2. 9. Divide 77 into two parts having the ratio of 5 to 6. 10. Three numbers are in the ratio of 1, 2, and 3. number is 7. Find the others.

656. Written

1. Add

The first

What is the cost of a

200-acre farm at the rate of 25 acres for $1324?

17.89

3.20

976.

831.19

209.37

65.88

7.90 98.36 521.83

3. What sum of money will yield as much interest in 4 yr. 6 mo. as $9000 will yield in 9 mo. ?

4. How long will it take 435 men to earn as much money as 145 men can earn in 4 yr. 3 mo. ?

5. When a post 4 ft. 6 in. high casts a shadow 3 ft. 4 in. long, how high is a tree that casts a shadow 40 ft. 6 in. long?

829.17 6. How many Kl. of water can be kept in a vat that is 21 m. by 15 dm. by 50 cm. ?

743.65 812.79

7. Two boys, having received 40 cents for some

work, divided it so that one boy received as much as the other. How much did each receive?

8. C failed in business, owing A $3000, B $2500, and D $4500. His property was worth only $6400. How much should each creditor receive?

9. A farmer bought two cows for $80, paying as much for one as for the other. Find the cost of each.

10. Separate 2723 into three parts having the ratio of to 1 to 2.

657. Oral

1. Find the value of 24; 52; 38; 73; 53; 26; 122.

2. A number which is the product of equal factors is called what?

3. Find the value of √16; 16; 216; √400; √32.

4. Finding one of the equal factors which produce a number is called what?

5. The legs of a right triangle are 3 ft. and 4 ft. What is the hypotenuse?

6. The hypotenuse of a right triangle is 10 ft., and one of the legs 8 ft. What is the other leg?

7. What are the two equal factors of 121 ?

8. Find one of the three equal factors of §.

9. One of the three equal factors of a number is 5. What is the number?

10. The entire surface of a cube is 24 sq. in. How long is each edge of the cube?

658. Written

1. Find the square root of 3,396,649.

2. The entire surface of a cube is 1350 sq. in. Find the volume of the cube.

4. The perimeter of a square is 1320 rd. Find its area

in acres.

5. How many feet of fence are required to inclose a square field containing 21 A.?

6. A cylindrical oil tank, 24 ft. in diameter and 18 ft. high, will contain how many barrels of oil, allowing 41 cu. ft. for a barrel?

7. Find, to the nearest tenth of a foot, the depth of a cylindrical cistern whose capacity is 40 barrels, and the diameter of whose base is 6 ft.

8. a. Find the difference in time between two places in 79° 18" and 103° 4' west longitude, respectively.

b. When it is noon at the first place, what is the time at the second place?

9. When it is 11 A.M. at a place in 73° 7' west longitude, what is the time at a place in 14° 53" east longitude?

10. What is the longitude of a place in which the time is half-past one A.M., when it is midnight at a place whose longitude is 47° 17' 15" East?

659. 1. A coal company has $85,000 invested in a shaft mine. Assuming the cost of mining the coal and preparing it for market to be 76¢ per ton, the average price received to be $1.05, and the commission paid for selling to be 5¢ per ton, how many tons per year must the company take from this mine to yield a net income of 8% on the investment?

2. A mine owner bought coal at $2130 per acre and mined it. The vein averaged 5 ft. 6 in. in thickness and yielded

1000 tons of coal per acre for each foot of the thickness of the vein. If the net price received for the coal was 98 per ton, what was received for 7g acres of the coal ?

3. A pane of plate glass was listed at $96.40, with trade discounts of 75 and 5%, and a further discount of 2% for cash payment. What was the net cash price?

4. Make out and receipt a bill for 22 yd. of muslin at 14¢ per yard, 53 yd. of cambric at 12¢ a yard, and 20 handkerchiefs at $3.60 per dozen.

5. A typist writes daily 130 folios of 10 lines each, averaging 10 words to a line and 7 letters to a word. Her typewriter has 42 keys, 5 of which are vowel keys. If the vowel keys are used three times as often as the other keys, how many vowels are written in a day?

6. When camphor gum is bought at 85¢ per pound and sold at 10 an ounce Avoirdupois, what is the rate per cent of profit?

7. A druggist who buys cocaine at the rate of $5 per ounce of 480 gr. and sells it at the rate of 2 gr. for 5, gains what per cent?

8. The railroad company charges $59.40 for the use of a freight car from Quincy, Mass., to Syracuse, N. Y., and is responsible for all damages to the freight carried. Mr. Harding, by releasing the company from liability for damage, secured a reduction of 331% from the regular freight rate. He then had his freight insured for $2000, at a premium rate of 1%. How much did he save on a carload of freight by this plan?

3 3 3 41

9. Simplify +++ and express the result as a decimal.

10. Find the sum which a bank would pay for a note for $750, without interest, 90 da. before it was due, if its discount rate was 7% per annum.