3. What are prime, simple, odd, composite, and perfect numbers? and tell why they are so called, respectively.

4. Define cancellation, and state and illustrate its applications and uses.

5. Define the several kinds of fractional expressions, and give examples of each.

6. Define Federal money, long measure, avoirdupois weight, and dry measure; state why so called, and give tables of each, respectively.

7. What is the face of a note running for 4 months at 6 per cent. interest (no grace), which, discounted at bank at 10 per cent., yields $300 proceeds?

9. What cost a stock of books which, being marked at 20 per cent. advance of cost to sell at retail, and sold one-half at cost and the balance at 10 per cent. off retail, netted me a profit of $100?

10. A block of wood is 1 foot 6 inches long, 1 foot 4 inches wide, and 1 foot thick. What is the distance from one corner to the corner opposite?

GRAMMAR.

1. Define language in general, and name and define the various kinds of i'.

2. Define sound, letter, syllable, word, phrase, and sentence.

3. How many sounds in the English language?

4. How many, and what, are the parts of speech, and why so called?

5. How do you determine what part of speech a word is?

6. Define grammar, orthography, syntax, and punctuation.

7. Define etymology, declension, conjugation, and analysis.

8. Name and define the several classes of sentences, and give examples of each.

9. Analyze this sentence: "That men must die and women weep, so long as our poor mortal state shall last, is clearly seen in all experience of life," and parse the italicized words.

10. Correct the following, if incorrect, and give reasons for the corrections: "She which is gone, receive, oh, grave! and hide her sins from memory as thou doth her body from sight, while between we three, who remain, to each other, cometh the consolation and sweet converse of our tears and silence."

GEOGRAPHY. •

1. Define mathematical, political, and physical geography, respectively.

2. What are the several motions of the earth, and of what changes or phenomena are they the cause?

3. What is an isothermal line?

4. Define town, city, village, township, county, state, and nation.

5. Name and define the several natural divisions of water.

6.

In what direction from the South Pole is Australia, and why?

7. Define zone, state why so called, and give the various zone boundaries of the earth.

8. Name and locate the principal rivers, cities, and mountain chains of South America.

9. Name, in order of size, the five largest cities of the world.

10. Bound Europe, France, Ohio, Illinois, Lake county, and your township.

LAWRENCE COUNTY.

GEOGRAPHY.

1. Name six counties through which the Scioto River flows.

2. Name all the counties of Ohio which border on the Ohio River.

3. Over what waters would you pass in going from Richmond, Va., to Copenhagen?

4. Name and locate the mountain ranges of Europe.

5. Name the most southerly capes of England and of Spain.

6: What is a cape?

7. Upon what does the length of a degree of longitude depend?

9. When it is 12 M. at Washington, what is the time at San Francisco? ̧

1. How many letters are there in the English alphabet? How many sounds are represented by said alphabet? How many of those sounds are vowel sounds?

2. What is a diphthong? What is the difference between a proper and an improper diphthong?

3. What are the three principal modes of expressing gender?

4. How do you form the future perfect tense, passive voice, of a verb?

5. Write a sentence in which the word "but" is used first as a participle, second as a conjunction, and third as a noun.

6. Correct errors and give your reasons, if you find any thing wrong in the following 1st. He was presented with a watch.

7. Write out in prose the following verse, making complete grammatical sentences, and supplying all elipses:

8.

"Think me not lost, for thee I Heaven implore,

Thy guardian angel, though wife no more;

I, when abstracted from the world you seem,

Hint the pure thought, and frame the heavenly dream."

Parse all the words in the last line of the following:

"Errors in the life breed errors in the brain,

And these reciprocally those again."

9. What is the difference in meaning and use between "lay" and "lie" (to recline)? "set" and "sit"?

10. What is the penult of a word?

ARITHMETIC.

(Give solutions in full.)

1. Upon what day does a note mature, dated to-day and due in 90 days, payable in bank?

2. Define notation, numeration, number, interest, discount, and tax.

3. What is the largest amonnt of land that can be inclosed by a mile of fence, and what is the shape of the inclosure?

4. How many yards of carpeting 20 inches wide will cover a room 24 feet long and 18 feet wide?

5. What must I ask for potatoes costing $3 per barrel that I may deduct 25 per cent. from my asking price and still make 20 per cent.?

6. If of an acre of land cost $24, what would 5-16 of an acre cost?

7. Write in figures, nine decillions and nineteen thousand; in Roman characters, one million.

8. In what time will $275 amount to $500, at 8 per cent. interest?

9. A pint is what per cent. of a bushel?

10. Two persons being 500 miles apart, start at the same time and meet in 5 days, one traveling 10 miles a day faster than the other: how far does each travel?

11. Have you ever studied algebra? geometry? trigonometry?

THEORY AND PRACTICE.

1. How many scholars can you successfully teach?

2. Upon what branches do you give oral instruction? Why?
3. Which do you teach first in arithmetic, the rule or the process?
4. Name five proper incentives to study.

5. Do you have your pupils recite? Why?

LOGAN COUNTY.

(The examination will close precisely at 4 o'clock P.M. Communicating forfeits a certificate. Please leave a stamped envelope addressed.)

ORTHOGRAPHY.

1. What is the difference between a vowel and a consonant?

2. What is the principal use of consonants?

3. What is articulation?

4. Is there any difference in the manner of sounding r in the words bard, bare, order, and ray, ring right?

5. Analyze and define dishonest, dispense, disburden.

6. Correct the following, if necessary: Skeamer, dezine, foarnolej, masaker, asine, fizishon, conseev, brilyansy, rangle, flecksabel, changeles, acqyesens.

GEOGRAPHY.

1. In what zones are earthquakes most numerous ?

2. Why are the tropics placed 234° from the equator?

3. Name the principal rivers flowing into the Mediterranean Sea.

4. In what zones do the most intelligent nations live?

5. What are the three departments of the United States government?

6. Give the names of the members of the President's cabinet.

7. Name five of the largest rivers in North America.

8. Is Colorado a State or a Territory, and what is its capital?

9. Describe Utah, its people, their religion, habits, customs, etc. 10. Describe Vancouver's Island, West Virginia, and Kentucky.

ARITHMETIC.

1. How are decimal fractions distinguished from common fractions, and on what does the denomination or size of the parts depend?

2. Change 7-36 to a decimal.

3. 10 square rods, 29 square yards, 5 square feet, 94 square inches, 17 = what? 4. 25+55 X 2 + 25 −3÷4X5

what?

5. A boy makes 8 steps each of 1 foot 10 inches, while a man makes 5 steps each of 2 feet 8 inches: how far will the boy go while the man is going 34 miles?

6. If 15 horses in 5 days plow 11 acres, how many horses will be required to plow 33 acres in 9 days? By analysis.

7. How many and what are the things necessary to be considered in every arithmetical series?

8. The population of a village increased 50 per cent. each year for four successive years, and at the end of the fifth year was 405. What was it at the end of each of the previous years?

9. In what time will $1,200 equal $1,800 at 10 per cent. per annum?

10. A log is 30 inches in diameter. How many inches will it square?

4. What is the difference, if any, between the subject of a verb and a nominative to a verb? 5. Give the perfect tense, third person, singular number, of the verb sit and set in all the moods.

6. Write a sentence with the verb modified in all the different ways in which it may be modified.

7. Name the personal pronouns.

8. Punctuate the following: William James and John the boys of whom you spoke as having disobeyed the rules were expelled from school by the unanimous vote of the directors at their meeting last Saturday.

9. Parse the words in italics: Which what was it that you parsed?

10. Analyze: What she could not find anywhere she believed to be nowhere.

THEORY AND PRACTICE.

1. What do you consider a well classified school?

2. What are the essential qualifications of a good teacher?

3. What time should be given to oral instruction?

4. How do you seek to cultivate in your pupils the ability to use language readily and accurately?

5. What is the advantage of the spelling-book in the school?

6. Should the rod be used in any case, and if so, when?

7. By what means do you secure clear and distinct enunciation, proper inflection, and forcible emphasis in reading, beauty and symmetry in writing and figure-making, habits of personal neatness, and a due regard for the cleanliness of the school-room? 8. How do you seek to procure the coöperation of the patrons of your school?

9. If there were no provision made for ventilating your school-room, how would you remedy the defect?

10. Explain your method of conducting a class in arithmetic.

LORAIN COUNTY.

ARITHMETIC.

(Number answers to correspond with the number of questions, and give full solution of each example on your paper. Communication, and looking at book or paper during the examination, may forfeit certificate.)

1. Define mathematics, arithmetic, science, and art.

2. Divide .0036 by .00215 X.02.

3. Reduce 428 lbs. 6 oz. troy to pounds, etc., avoirdupois, and state the difference of weight in a pound of each.

4. How much will it cost, at 8 cents per square yard, to paint a barn 28 by 30 feet and 16 feet high, the ridge being 7 feet above the eaves?

5.

When it is 10 o'clock A,M. 40° 15′ E. of Washington, what is the longitude of a place where it is 1:30 P.M.?

6. $376.

OBERLIN, OHIO, October 23, 1870.

Five years after date I promise to pay Robert Jones three hundred and seventy-six dollars, with interest at 8 per cent., to be paid annually.

Indorsed October 23, 1871, $125.

How much is due on the above note October 23, 1875?

HENRY SMITH.

7. A fox has 40 rods the start of a dog. If the dog runs 7 rods while the fox runs 5 rods, how far must the dog run to overtake the fox? 8. Multiply 7 ft. 6' 8" 4"" by 6' 9" 3".

9. How many bushels will a box 19 ft. 6. in. long, 7 ft. wide, and 4 ft. high hold? 10. A ladder 50 ft. long is placed at a certain point in the street. The top of the ladder will just reach the top of a building on one side of the street 40 feet high, and the top of a building on the other side of the street 30 feet high. What is the width of the street?

ENGLISH GRAMMAR.

1. Write a sentence which shall be both complex and compound.

2. What is the difference between the analysis and parsing of a sentence? analyze to parse, or parse to analyze? Why?

3. Compare bad, handsome, all; decline hero, brother-in-law.

Do you

4. How can you tell a transitive from an intransitive verb? What are the person and number of a verb? Write two sentences, one having a transitive, the other an intransitive verb.

5. Diagram the following sentence:

"The very existence of atheism, however defiantly proclaimed or studiously practiced, is now scarcely believed in."

6. What is an interjection? Write three sentences, each of which shall have an interjection correctly used.

7. What is a preposition? Give three examples correctly used. the preposition and its object taken together?

8. Parse the italicized words in the following sentence:

What do you call

"There are points from which we can command our life,
When the soul sweeps the future like a glass;

And coming things, full-freighted with our fate,

Jut out dark on the offing of the mind.

Let them come! Many will go down in sight;

In the billows' joyous dash of death go down."