GEOMETRY.

1. Define surface; define volume.

2. Draw a circumference and then draw a chord, a secant, and a

tangent.

3. What is the difference between a sector and a segment? Illustrate the difference by a drawing.

4. Name the five regular polygons.

5. If an isoceles triangle has an angle of 100 degrees, how many degrees in each of the other angles?

6. Prove that if four magnitudes are in proportion, they are in proportion by composition.

7. Show that the diagonal of a square is incommensurable with its side.

8. How many degrees in one of the interior angles of a regular octagon? Prove it.

9. What proportion of the surface of a sphere is contained in its tri-rectangular spherical triangle?

10. Prove the rule for finding the convex surface of a sphere.

CHEMISTRY.

1. Give the symbols for (a) mercury, (b) copper, (c) antimony, (d) potassium, (e) tin, (ƒ) silver.

2. Define atom and molecule.

3. Give the chemical name of the substances represented by the following formula: (a) K CI O. (b) Mn, Og.

4. Write the formula for the following: (a) Sulphuric oxide, (b) sulphurous oxide, (c) sulphuric acid, (d) sulphurous acid.

5. Explain fully the signification of the following equation: Ba O2+H2SO4-Ba SO+H, O2.

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6. Describe the preparation of nitric acid from potassium nitrate, and express the reductions by means of a chemical equation.

7. Give the general definition of an acid; of a salt.

8. Distinguish between a normal salt and an acid salt.

9. State the law of multiple proportions.

10. Give the atomic weights of any three elements, hydrogen excepted.

11. Define quantivalence.

12. Define occlusion; give an example.

13. How many pounds of water would be required to yield three pounds of hydrogen?

14. State the most remarkable property of selenium,

15. What is ozone?

16. Which is the most abundant element in nature?

17. Name the constituents of the atmosphere.

18. Name the two compounds of oxygen and hydrogen.

19. Name two metals whose specific gravity is less than that of water.

20. How can steel be made directly from cast iron?

21. Describe the process of gold mining by amalgamation.

22. At what temperature, centigrade, is water at its maximum density?

BOTANY.

1. Name the nutritive organs of plants and give the office of each? 2. What is the difference between an exogen and an endogen? Give an example of each.

3. What are acrogens?

4. What are the simplest of the plants?

5. What is the difference between a cryptogam and a phenogam?

6. How does the sap of a tree circulate?

7. What is the difference between the epicarp and the endocarp of a peach?

8. Name the parts of a flower whose office it is to make the plant fertile.

9. Name some of the ways in which a flower may be fertilized. 10. Name four of the coniferæ.

11. What is chlorophyll?

12. Name some of the varieties of a simple leaf. Illustrate by an outline drawing,

13. In what manner do plants procure the carbon which enters so largely into their composition?

14. What kind of gas do leaves send out into the atmosphere?

PHYSIOLOGY.

1. What are the uses of the bones?

2. Describe the spine.

3. Of what use is the marrow in the bones?

4. What is the periosteum?

5. What is the difference between tendons and muscles?

6. What is the use of the clavicle?

7. Name and describe the classes of the teeth?

8. What is the shape of the stomach, and its position?

9. What is the first work of the stomach after food has been taken? 10. Why should not cold water be taken into the stomach with the food?

11. What are the digestive fluids?

12. In what time does the entire blood of the body pass through the heart?

13. What is the average quantity of blood sent out by the heart at each beat?

14. In what two sets of organs does the blood undergo change of color?

15. What is meant by the lesser, or pulmonic circulation? 16. What is the natural temperature of the body?

17. Name the vital organs?

18. Why should the head be kept cool and the feet warm?

19. Describe the brain.

20. What are the functions of the capilliaries?

21. Describe the need of ventilation.

22. What is the vital element of the air?

23. What is the third lung, and why is it so called?

24. Name the coats of the eye, and of what does the inner coat consist?

25. What is the iris, and describe its use.

26. What is the nerve of smell called?

27. At what rate is a message transmitted along the nerves?

28. How does alcohol interfere with the work of the oxygen in the blood?

29. How does alcohol interfere with muscular movement?

30. Give the theory of the sound.

BOOK-KEEPING.

1. What are the resources; what are liabilities?

2. Name the principal books used in book-keeping.

3. Name three auxiliary books and give the use of each.

4. State a general rule or principle regarding debits and credits. 5. What is the first entry made in a cash bock.

6. What is posting?

7. What is the usual way of testing the correctness of the posting? 8. Write a time draft in proper form.

9. What is meant by "protesting a note?"

10. State briefly the steps taken in closing the ledger of an individual.

Memoranda.- Henry Bennett starts in business January 1, 1887, with merchandise, $5,000; bills receivable, $1,600 and cash $3,500. January 1.-Paid for paper, ink, etc., five dollars; sold Robert Smith eight barrels flour at five dollars.

January 2.-Sold John Payne 100 barrels of flour at five dollars, for which he pays on account cash $250. Paid for advertising ten dollars. January 3.-Sold James Jackson forty barrels flour at five dollars. Sold for cash three barrels flour at five dollars and fifty cents.

January 4.-Sold to William Belden twenty-two barrels flour at five dollars, for which Belden gives his note at thirty days. Paid for new front in store $175.

January 5.-Bought of Henry Thomas 500 barrels at four dollars and fifty cents.

January 7.—Paid Henry Thomas account, giving him cash $1,250 and a sixty day note for $1,000. Bought from Thomas Stone 200 barrels flour at four dollars and seventy-five.

January 8.-Paid Thomas Stone amount of his account giving him cash $925, he allowing me twenty-five dollars discount.

Rule your paper in proper form, and place the above in proper shape, so as to exemplify the use of the principal books used in double entry and also such auxiliary books as may be necessary.

POLITICAL ECONOMY.

1. Explain the meaning of the following terms: Wealth, value, price, competition, demand and supply.

2. What is meant by the division of labor? On what conditions does it depend, and what effects does it produce?

3. State the nature and function of capital.

4. What is the doctrine of laissez faire?

5. What is money and what are its functions?

6. Why is much money usually unemployed in the banks during a period of depression in trade?

7. State Ricardo's theory of rent?

8. Why should not the entire issue of the paper currency of this country be made by the United States Treasury?

9. Give the leading arguments in favor of a protective tariff.

10. Give the leading arguments in favor of a tariff for revenue only.

MENTAL SCIENCE.

1. Define "mental science."

2. Mention and illustrate one important particular in which the study of "mental science" differs from that of "physical science." 3. Define a

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mental faculty."

4. Explain and illustrate the term "acquired sense perception." 5. Name the three grand divisions of mental activity.

6. Define "attention" and give your idea of its importance.

7. Distinguish between the "presentative" and "representative powers."

8. Distinguish between "primary" and "secondary" qualities of

matter.

9. Define the terms "memory" and "imagination."

10. What is the office of "judgment?"

11. Distinguish between "necessary" and "contingent" truth. Explain fully.

12. Name the sources of evidence in "probable reasoning."

13. State the difference between "inductive" and "deductive" reasoning.

14. Name three criteria of primary truths.

15. What do you mean by "cause?"

16. Define syllogism.

MORAL SCIENCE.

1. Define the terms "moral science," "moral being" and "moral act."

2. Distinguish between "absolute" and "relative" good. Illustrate.

3. Define "benevolence."

4. Define "justice."

5. In what consists the "moral element" of an act?

6. Mention two offices of "conscience."

7. Define "government."

8. Distinguish between "discipline" and "penalty."

9. Define the terms "liberty" and "license."

10. Name two duties which parents owe to their children. 11. Name two duties which children owe to their parents.

12. Explain the relation between "rights" and "duties."

13. Explain the terms "freedom of the press" and "freedom of speech."

14. Under what circumstances is a person justified in sacrificing his health or life?

15. Distinguish between "virtue" and "innocence."

16. Explain fully why the right to vote involves the duty to vote.

EXAMPLE No. 4.

ASSISTANT ENGINEERS, LEVELERS AND RODMEN.

NOTE. In the answers to this and the following sheets, carefully observe the following directions:

1. Write the answers in the order of the questions, and number them to correspond, but do not copy the questions.