ANALYTICAL GEOMETRY AND CALCULUS.

1. Write an equation of a straight line; also, that of a line perpendicular to it.

In what respect do the equations of two parallel lines differ?

2.

Divide a number, a, into two parts such that the sum of the squares of the parts shall be the least possible.

4. If an isosceles triangle be inscribed in a given circle, determine the magnitude of the base so that the area of the triangle may be the greatest possible.

5. Find the greatest cylinder that can be cut out of a globe two feet in diameter.

ALGEBRA.

1. Find two numbers, the sum of whose squares is 45, and the sum of whose reciprocals is one-half.

3. A and B set out from two towns which were distant 247 miles and traveled the direct road till they met: A went 9 miles a day, and the number of days at the end of which they met was greater by 3 than the number of miles B went in a day: how many miles did each travel?

4. In an equation of the form x2+px=±q, why does adding the square of onehalf of the coefficient of the second term make the first member of the equation a perfect square?

5. What are the values of x in the expression:

x2+2px=-q.?

6. A and B shot by turn at a target, A put 7 bullets out of 12 into its center, and B put 3 out of 4; between them they put in 32 bullets: how many shots did each fire?

GEOGRAPHY.

Of the following questions candidates were required to answer five, making their own selection. Each question has a different value.

1. Outline some system of map-drawing, adapted to class work.

2. Describe the drainage system of North America.

3. In what respects is Europe better adapted to commercial enterprise than Africa?

4. Different causes that affect the flora of a given region?

5. Between what isotherms are the different cereals best grown? (Answer generally.) 6. What are the mountain systems of North America?

7. Some of the natural causes for the location of large cities in modern times.

8. Influence of the Gulf Stream upon the climate and productions of Northern and Western Europe.

CHEMISTRY.

1. Distinguish chemical affinity from other molecular forces.

2. Describe in words and represent in symbols the effects of heat upon nitrate of ammonia. Give some account of the chemical properties of the gaseous product.

3. Outline the process for obtaining sulphuric acid, explaining the chemical changes which occur.

4. Explain by symbols the reactions that take place when O is prepared by the action of heat upon the Mn 02 and KO, Cl 05.

5. How is N prepared? Under what conditions will it combine with O, H, and C? 6. What is the composition of the atmosphere? By what means is the uniformity of its composition maintained?

7. How many grains of nitrate of silver are required to decompose ten grains of chloride of sodium?

Ag=108. Na=23. Cl=35.5.

LOGIC.

(Questions based upon Schuyler's Logic.)

1. Define intuitions, thoughts, fundamental laws of thought.

2. Concepts and their classification as to quality.

3. Compare judgments and concepts.

4.

Induction and classification into formal and real.

5. What is a definition? Exemplify.

6. Difference between a priori and a posteriori arguments?

7.

four.

Point out the fallacy in this: Three and four are two numbers. Seven is three and
Therefore seven is two numbers.

RHETORIC.

1. What is meant by purity of diction? Define a barbarism.

2. What is meant by the unity of a sentence?

3. Difference between metaphor and simile?

4. What is a "mixed metaphor?"

5. Exemplify apostrophe, personification, and hyperbole.

6.

7.

What are some of the points necessary to sublimity in writing?
Difference between humor and wit?

9.

10. tylic?

What governs the length of the poetic foot in English verse?
Difference between the iambic and trochaic foot?

Between anapaestic and dac

MINERALOGY AND GEOLOGY.

1. What is understood by a mineral? Mention some of its characteristics.

2. How is the degree of hardness of a mineral determined?

3.

Definition and classifications of rocks.

4. Some of the means of determining the chronological order of strata.

5. Name, in chronological order, the sub-divisions of geological time.

6. Animal and vegetable life characteristic of the Niagara Period.

7. Characteristic plants and animals of Mesozoic time.

8. Animals of Cenozoic time.

9. What are the agencies which have produced the changes in the earth's crust treated of in geology?

10. Mention some of the effects of aqueous action in producing changes of surface.

NATURAL PHILOSOPHY.

1. Define the terms hypothesis, theory, law, and force, as used in physics.

2. A body weighs 15 pounds in air and 7 pounds in water; another body weighs 76 pounds in air and 12 pounds in water: how do they compare in volume?

3. A body has fallen a distance of 2,316 feet: how long was it in falling, what was its final velocity, and what was the distance passed over during the last second?

4. How can the specific gravity of solids lighter than water be determined?

5. A cubical vessel, each side of which is 2 feet, has a capacity for 500 pounds of water: what must be the bulk of a hollow vessel of copper, weighing 5 pounds, which will just float in this water?

6. The specific gravity of absolute alcohol is .79: to what height will this alcohol rise in a Torricellian tube, when the mercurial barometer indicates a height of 29.75 inches? 7. Explain how the height of a mountain can be approximately measured by the barometer, the thermometer, and the variation in the boiling point of water.

8. Upon what do the velocity and intensity of light depend?

9. What is meant by specific heat? Explain methods for determining the specific heat of bodies.

10. State the theories of electricity. Describe the magnetic needle. To what variations is it subjected?

POLITICAL ECONOMY.

1. What was the origin of the mercantile system? What is meant by the balance of trade?

2. Name three forms of monopoly. What action, regarding monopolies, was taken by the English Parliament during the reign of James I.?

3. Name some advantages and some disadvantages resulting from division of labor. 4. How are labor and capital mutually dependent upon each other? Are "strikes" useful?

5. How are the agricultural and manufacturing interests of a country related?

6. Does the introduction of improved machinery affect labor favorably or unfavorably? Why?

7. When was the first United States Bank chartered? Describe the national bank system of 1863.

8. What is the distinction between a tariff for revenue and a protective tariff?

9. What is meant by "funding a debt?" Mention some of the puculiarities of the English national debt.

10. Distinguish between a direct and an indirect tax. How do specific duties differ from ad valorem duties?

ASTRONOMY.

1. By what methods can the earth's diameter be computed?

3. How can we determine the distance and size of a heavenly body?

4. How is the precession of the equinoxes produced? What is meant by the equation of time?

5. Name and describe the northern circumpolar constellations.

6. What curves are described by comets? What must be the form of its orbit in order that a comet may have a periodic time?

7. State Bode's Law. Give Kepler's laws of planetary motion.

8. What is meant by the "problem of the three bodies?"

9. How is the eccentricity of the earth's orbit determined? Is it a variable or an

invariable quantity?

10. Regarding the mean distance of the earth from the sun as a unit, the mean distance of Mars from the sun is 1.5237: required the periodic time of the latter.

CONSTITUTION OF THE UNITED STATES.

1. Name and describe the three forms of colonial government.

2. What attempts were made to unite the colonies before the meeting of the first Continental Congress?

3. What were the most prominent defects in the Articles of Confederation?

4. What States recommended amendments to the Constitution upon its ratification by them?

5. How may an alien become a citizen of the United States? What is meant by expatriation?

6. What restrictions are placed upon the power of Congress?

7. Name the departments that have been established for the purpose of aiding the President in discharging his duties as Chief Executive.

8. What territorial officers are appointed by the President?

9. Name the different Bureaus found in the Department of the Interior?

10. Describe the manner of electing the President of the United States. What is the mode of impeaching a President?

PHYSIOLOGY.

1. Define nutrition, absorption, and secretion.

2. What fluids aid digestion in the stomach? What fluids aid intestinal digestion?

3. Describe the structure and functions of the lacteals and lymphatics.

4. What objects are accomplished by the circulation of the blood? Name the different classes of circulation.

5. Give a full description of the structure and functions of the arteries, veins, and capillaries.

6. What is meant by nerves of motion and nerves of sensation?

7. What is a gland? Name and locate five important glands found in the human body.

8. How do the cerebrum and cerebellum differ as to their size, structure, an functions?

9. Describe the retina and give its office.

10. Give the structure and functions of the vocal organs, including the vocal cords.

BOTANY.

1. What is elaborated sap? Give its chemical composition.

2. What is meant by cellular tissue? Describe a plant cell.

3. Define morphology, venation, and aestivation.

4. Name and define five forms of inflorescence.

5. Name the parts of a flower and their subdivisions.

6. How does a complete flower differ from a symmetrical flower?

7. What constitute the living parts of an exogenous shrub or tree?

8. Name and define the different kinds of fruit, and give an example of each kind.

9. Compare the stems, leaves, flowers, and embryo of exogens and endogens. 10. How does the natural system of classification differ from the artificial system?

ZOOLOGY.

1. Name and describe the great branches of the animal kingdom.

2. Compare the digestive organs of the carnivora with those of the ruminantia.

2. What is meant by a fossil species? A typical animal?

4. Describe the respiratory and digestive organs of birds.

5. Describe the organs of sense as found in fishes.

6. Give a description of the different stages in the life of an insect.

7. What are the general characteristics of reptiles? Name the different orders of reptiles.

8. How is the spider's web formed? Is silk an animal or a vegetable product? 9. What is a polyp? How is coral formed?

10. Give a brief description of the animal life of each grand division of the earth.

THEORY AND PRACTICE.

1. What is your method of teaching beginners to read?

2. How do descriptive geography and map studies compare in importance?

3. What grammatical instruction should be given to pupils before they are required to study from a text-book?

4. What are object-lessons? What is meant by objective teaching?

5. How does education differ from knowledge?

6. Upon what principle is taxation for school purposes justifiable?

7. Name what, in your opinion, are the prominent defects in our graded school system ?

8. By what means could the character of the instruction given in ungraded schools be improved?

9. What are the duties of a teacher to his profession?

10. What work on teaching do you esteem most highly? Give reasons for your pref

erence.

ORTH AHY.

1. Define accent. When a word has two accens, how may the primary accent be known?

2. What is the use of syllabication?

3.ame the consonants that can not be doubled at the end of a word.

4. low are words, formed by adding the termination less to words ending in double 1, written?

5. Write the present participles of tie, dye, die, and form derivatives from icy and mercy.

6. When a word ending in y preceded by a vowel takes a termination, what is the general rule for the y in derivatives so formed?

7. Why is the letter k inserted after c in certain derivatives?

8. Write three rules for the formation of the plural of nouns. Give two rules for writing the possessive plural of nouns.

9. Name ten words that admit of different modes of spelling.

10. Give general rules for writing compound words.

UNITED STATES HISTORY.

1. Give an account of the English discoveries in America before Jamestown was settled.