months, was given by E to H. On Dec. 3d, E paid $350; when ought the balance to be paid to balance the account? Art. 264. Ex. 4.

ALLIGATION.

1. Define Alligation, and tell into how many parts it is divided. Art. 265.

2. Define Alligation Medial, and tell how you find the price of the mixture. Art. 266.

3. During the seven days of the week the thermometer stood as follows: 70°, 73°, 7310, 77°, 801°, and 81°; what was the average temperature during the week? Ex. 5. Art. 266.

ALLIGATION ALTERNÁTE.

1. Define Alligation Alternate, and tell how it may be proved. Art. 267

2. How do you find the Proportional Parts? Art. 268.

3. How do you find the Proportional Parts when the quantity of one simple is given? Art. 269.

4. How do you find the Proportional Parts when the quantity and the mixture is given? Art. 270.

5. A farmer sold a number of colts at $50 each, oxen at $40, cows at $25, calves at $10, and realized an average price of $30 per head; what was the smallest number he could sell of each? Ex. 3.

6. A merchant has four pieces of calico, each worth 24, 22, 20, 15 cents a yard; how much must he cut from each piece to exchange for 42 yds. of another piece worth 17 cents a yard? Art. 270. Ex. 7.

COINS, CURRENCY AND EXCHANGE.

1. Define Coins. Currency and Exchange. Art. 271.

2. What is provided by the Constitution of the U. States? Art. 271.

3. How many values may a coin be said to have? Art. 272. 4. Define each value. What is a Bill of Exchange? Art. 274. 5. How many Parties are there to a bill of exchange? Name them. Art. 274.

6. Describe how bills of exchange aid commerce, and name all the Parties to the bill in this example. Art. 275.

7. Define an inland bill. A foreign bill. Art. 276.

8. How is the time determined at which it is made payable? How are bills always drawn? Art. 277.

9. How many bills are generally drawn for the same amount? 10. What is an indorsement in blank? A special indorsement? Art. 280.

11. What is the Person making the bill called? Art. 280. 12. What is the effect of an indorsement? How may a bill drawn to bearer be transferred? Art. 280.

13. What is acceptance? How made? Art. 281.

14. Tell all you can about making, drawing and protesting bills of exchange, and Par of exchange. Course of exchange. Art. 282.

15. What is the exchange value of a pound Sterling? Art. 287.

16. In what currency are the exchanges between this country and England made? What is the commercial value of the Pound sterling? Art. 288.

17. I have $947.86 and wish to remit to London £364 18s. 8d., exchange being at 81 per cent.; how much additional money will be necessary? Art. 289. Ex. 5.

18. Describe the method of exchange with France. Hamburg. 19. What amount in dollars and cents will produce a bill of exchange on Hamburg for 18649 Mares banco, exchange being at 2 per cent. premium? Art. 291. Ex. 1..

ARBITRATION OF EXCHANGE.

1. Define arbitration of exchange. Art. 294.

2. What principle is involved in arbitration of exchange? Art. 294.

3. What is the chain rule? Explain it. Illustrate by an example.

GENERAL AVERAGE.

1. Define Average. General average. Art. 295.

2. How many kinds of average are there? Name them. Art.

3. Under what circumstances will a general average occur? Art. 296.

4. How is the freight valued? Cargo? Ship? Art. 297. 5. How much is charged on account of the Seaman's wages? Art. 297.

6. Explain the Principle by an example. Art. 297. Ex. 1.

TONNAGE OF VESSELS.

1. What is the tonnage of a vessel? Art. 298.

2. To what are coasters subject? Art. 298.

3. What is the government rule for finding the tonnage of vessels? Art. 299.

4. What is the difference between the government rule and the ship-builder's rule? Art. 299.

5. What is the government tonnage of a double-decker, the length being 103 ft., breadth 25 feet 6 inches? Art. 299. Ex. 4.

INVOLUTION.

1. Define Involution. Power. Root of Power. Third Power. Art. 300.

2. What is the exponent of a Power? How written? Art. 301.

3. How many things are connected with every Power? Art.

301.

4. How do you find the Power of a number? Art. 301. 5. Find the cube of 143. The value (3.205). Art. 301. Ex. 36-42.

EVOLUTION.

1. Define Evolution. Square root.

Cube root.

Art. 302.

Art. 302.

2. How do you denote the square root? Cube root? 3. What is a perfect square, and how many are there between 1 and 100? Art. 303.

4. Into how many parts may every number be decomposed? When so decomposed, to what is its square equal? Art. 304. 5. What is the first step in extracting the square root? Art.

6. Give the rule and reason for extracting the square root. Art. 305.

7. How do you extract the square root of decimal fractions? Art. 306.

8. How of a common fraction?

Art. 306.

9. Define a right angle. A Triangle. Art. 307.

10. Define a right-angled triangle. Hypothenuse. Art. 308. 11. In a right-angled triangle to what is square of the Hypothenuse equal? Why? Art. 309.

12. How do you find the Hypothenuse when you know the base and perpendicular? Art. 310.

you

13. When you know the Hypothenuse and one side, how do find the other side? Art. 311

14. Find the square root of 225. of 7. Art. 306. Ex. 3 and 13.

15. What length of a rope must be attached to a halter 4 feet long, that a horse may feed over 24 acres of ground? Art. 311. Ex. 16.

16. Three men bought a grindstone which was four feet in diameter; how much must each grind off to use up his share of the stone? Art. 311. Ex. 17

CUBE ROOT.

1. What is the cube root of a number? 2. When is a number a perfect cube? 3. How many perfect cubes are there Art. 312.

Art. 312.
Art. 312.

between 1 and 1000?

4. Of how many parts is the cube of a number composed? Art. 313.

5. Name and describe them. Art. 313.

6. Give and demonstrate the rule for extracting the cube root of a number. Art. 314.

7. How do you extract the cube root of a common or a decimal fraction? Art. 315.

8. How many places will there be in the root? Art. 315.

9. What is the cube root of 46.656? Of 8.343? Art. 314, 315. Ex. 3, 1.

10. What is the difference between half a cubic yard and a cube whose edge is half a yard? Art. 316. Ex. 6.

11. If I put 2 tons of hay in a stack 10 feet high, how high must a similar stack be to contain 16 tons? Art. 316. Ex. 15.

12. Four women bought a ball of yarn 6 inches in diameter and agreed that each should take her share separately from the surface of the ball; how much of the diameter must each wind off? Art. 316. Ex. 16.

ARITHMETICAL PROGRESSION.

1. Define Arithmetical Progression. Art. 317.

Common Difference.

2. What is a decreasing, and what is an increasing series? Art. 318.

3. Which are the means, and which the extremes, of a progression? Art. 318.

4. How many parts are there in every Arithmetical Progression? Art. 319.

5. How many parts must be given before the remaining ones can be found? Art. 319.

6. When you know the first term, the common difference and the number of terms, how do you find the last term? Art. 320. 7. What will $200 amount to in 15 years, at per cent. simple interest; the first year it increases $14, the second $28, and so on? Art. 320. Ex. 3.

8. When you know the extremes and number of terms, how do you find the common difference? Art. 321.

9. How do you find the sum of the series? Art. 322.

10. Having given the first and last terms, and the common difference, how do you find the number of terms? Art. 323.

11. A person proposes to make a journey and travel 15 miles the first day, and 33 miles the last, with a daily increase of 14; in how many days did he make the journey, and what was the whole distance travelled? Art. 323. Ex. 2.

GEOMETRICAL PROGRESSION.

1. Define Geometrical Progression. Ratio. Art. 322.

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