9.

A man bought some oxen for $900.00. He lost 5 and sold the rest at a profit of $20.00 each, thereby gaining $300.00. How much did he pay per head?

. 10. State and prove three principles of ratio and proportion.

1.

2.

3.

ARITHMETIC.

FIRST AND SECOND GRADES.

NOTE.-Algebraic solutions of problems should not be accepted. Second grade applicants answer first ten; first grade applicants, last ten.

A man bought 100 lbs. of gold dust at $220 a pound avoirdupois, and sold it at $16 per ounce Troy. Did he gain or lose?

Indicate all the operations necessary to determine the volume of a sphere 10 in. in diameter.

The following rates are given for excursionists: For every 100, 331% discount; for every 50, 25% discount; for every 10, 20% discount. What will the tickets cost for 465 excursionists, if the regular rate for one fare is $6?

4. The one-mill tax in a certain district is $256, the rate of assessment 24 mills, the poll tax 50 cents each for each 450 persons. What is the entire amount raised by tax?

5. From the formula i=p XrXt deduce the formulas for finding the principal, time, and rate.

6.

7.

8.

9.

(a) Give the principles upon which are founded all the operations of fractions.

(b) Illustrate by diagram the N of the NE of SE of section 16.

What is the area of a rectangular field whose length is 15 rods more than its width and whose perimeter is 270 rods?

What is the value in avoirdupois weight of 16 lb., 5 oz., 10 pwt., 13 gr. Troy?

A man gained $737.67 in selling his estate at 16 per cent less than his asking price of 35 per cent more than cost. What was the cost?

10. What principal at 6% compound interest will produce $124.16 in 1 yr. 6 mo. 15 da.? 11. How many bushels will a bin contain, the dimensions being as 2, 3 and 5, if the longest line possible within the bin is 10 ft?

12. A cubical foot of marble is inclosed with lumber 2 in. thick. How many board-feet of lumber are required?

13. A asked 50% more for one farm than for the other. He reduced the price of the better one 33% and of the price of the poorer one 20%, selling both for $5,580. What was the first asking price of each?

14. Analyze the remaining problems.

A man increases his capital annually 20% less $500. At the end of three years his capital amounts to $15,460. What was his original capital? 15. When wheat is worth 90 cents, a baker's loaf weighs 9 ounces. How much should it weigh when wheat is worth $1.50?

THIRD GRADE-BOTH CLASSES.

1. Define (a) check, (b) draft, (c) certificate of deposit, (d) overdraft, (e) due-bill. Explain as to a class a problem in percentage in which the rate per cent is to be found.

2.

3. By selling tea at 50 cents a pound one-quarter of the receipts is profit. What is the gain per cent? What the cost?

4. In an election contest between A and B, 1,000 votes being cast, A was elected by a majority of 100. What per cent of the entire vote must have been changed to have given B a majority of 100?

5. (a) If the cost is 4-5 of the selling price, what is the gain or loss per cent? (b) If the cost is 5-4 of the selling price, what is the gain or loss per cent?

Draw a note for $300 at 6% interest for such a time as will produce $7.75 interest. is what per cent of 5-6? Analyze.

6.

7.

8.

of A's farm is 25% of of B's. B sells A 200 acres and then A has as much as B. How many acres in each farm?

9.

10

A man builds a circular cistern 10 ft. in diameter, how deep must it be to hold 200 bbls.?

At 50 cents per rod, what will it cost to fence a square field containing 142 A. 81 sq. rd.?

MENTAL ARITHMETIC.

ALL GRADES.

NOTE. (1) Distribute these lists among all the applicants, placing them face down upon the desks. (2) Each applicant write his number or name across the back of the list.

(3) At a signal from the commissioner, all reverse the papers and in the right-hand margin write as many answers to the questions as possible in 15 minutes.

(4) At the second signal, all again reverse the papers when they will at once be collected by the examiners.

Give one credit for each correct answer written, making 20 credits for this part of the examination.

ANSWERS.

1. What is the sum of the nine digits?

1.

2. Divide the sum of all the odd digits by the sum of all the even digits.

2.

3. Add 25; 36; } of 27; † of 56, and 16.

3.

4. Find two numbers whose difference is 3 and whose sum is 9.

9. How many lbs. of coffee at 163 cents a pound can be bought for $900?

10. How many apples, 3 for 10 cents, will pay for 25 peaches, 5 for 3 cents?

11. If you give John 50% more money he will have 75 cents.

has he?

12. Cost is 5 cents, gain 20%. What is the selling price?

7.

8.

9.

10.

How much

11.

12.

13. Sell for 5 cents gain, receiving 25 cents. What is the gain per cent? 14. The interest is $12; the time is 1 yr. 6 mo.; the rate is 4%. What is the principal?

13.

14.

15. What cost 1 gross of pens at cents each?

16. How many plates at $9 a dozen can be bought for $21?

17. A boy has $75. How many boxes of books at 4 books for $6 can he buy, and how many dollars will he have remaining?

18. Find the cube root of 27x8x64.

19. How many horses at $150 each can be bought for $2,400?

20. How many acres in a square field 40 rods long?

BOTANY.

FIRST GRADE.

1. Describe the structure of some alga and its methods of reproduction. Describe the process of respiration in plants.

2.

3.

Give characters of four families of seed bearing plants with three examples of each. 4. Describe some dicotyl seed and trace its germination.

5.

6. Define bud, fruit, embryo, endosperm, perfect flower.

7. Describe the stem structure of dicotyledons and monocotyledons.

How is a root protected from injury? How does it absorb materials from the soil?

8.

Name the parts of the sporophyte of a fern and trace its life history.

9.

What dangers do leaves encounter and what protective devices do they show?

10. Describe the different devices by which stems climb with examples of each.

15.

16.

17.

18.

19.

20.

SECOND GRADE.

1.

(a) Discuss the conditions that are favorable to the germination of seeds.
(b) Explain how to study a bud in the laboratory.

-2. (a) Define terminal buds, axillary buds, accessory buds, and mixed buds.

(b) Explain how buds are protected.

3. (a) Define stolon, offset, runner, tuber, rootstock.

4.

(b) Explain how to test the starch in any fruit.

(a) What is the difference between self-fertilization and cross-fertilization?

(b) Explain the different ways in which pollen is carried.

5. (a) What are apetalous flowers? Give examples.

6.

(b) What is meant by the plan of a flower?

(a) What are the parts of a leaf?

(b) Draw a leaf and label its parts.

7. What is the difference between annual, biennial and perennial plants and give an example of each.

8.

(a) What is vegetable physiology?

(b) Give the structure of the layers of bark.

9. Name five different classes of fruits and give examples of each class.

10.

Of what use is nectar to flowers?

CIVIL GOVERNMENT.

FIRST AND SECOND GRADES.

Second grade applicants answer first ten; first grade answer last ten.

1. Outline the State educational system, giving names of the various public officers connected with it.

2. Explain as to a class the method of passing laws in the State Legislature.

3. Explain: (a) pocket veto, (b) Gerrymander, (c) shoestring district.

4.

How are the following things determined by the houses of Congress: (a) election of its members, (b) rules of proceedings, (c) expulsion of a member?

5. (a) What are the lengths of the terms of members of Congress? (b) Salaries? (c)

Qualifications?

If the two houses of Congress could not agree as to time of adjournment, how could they adjourn?

What does the Constitution say concerning a congressman's appointment to an office,

6.

7.

8.

9.

How is the representation of the various States determined?

10.

or holding more than one office? Discuss the reasons for these provisions. (a) Give names of President, Vice President, cabinet officers.

(b) Outline the principal duties of one of the cabinet departments.

(a) Mention the chief question before Congress at its last special session.

(b) Give some of the results of the session, with reference to this question.

11. (a) What is money? (b) United States money? (c) Counterfeiting? (d) The

punishment for counterfeiting?

12. Give full procedure by which an alien may become a citizen.

13.

14.

15.

Discuss the judiciary of the United States?

(a) Give the "elastic clause" of the Constitution.

(b) Why called "elastic?"

(c) What has been gained by its "elasticity?"

(a) Mention five important laws enacted by the last Michigan Legislature, and give main features of two of them.

(b) Outline what you consider the most important legislation enacted during the last session of Congress.

THIRD GRADE-BOTH CLASSES.

1. Mention five parallel provisions in the United States Constitution and the State Constitution.

2. The United States Constitution:

(a) When adopted and how?

(b) What specific improvements over the Articles of Confederation?

(c) Name three leaders in the Constitutional Convention.

3. Mention the power of Congress with reference to the territories of the United States.

4. (a) Mention three prohibitions of the United States Constitution.

(b) How does the United States procure the money necessary to pay its running expenses?

5. (a) How are treaties made?

(b) Suppose a treaty promised the payment of money, how is the money procured? Mention a treaty that called for the payment of money by the United States.

6. Mention five of the most important duties of the President.

7. (a) Give the officials of a county.

(b) Briefly outline the duties of three of them.

8. The township:

(a) its officers; (b) the most important;

(c) when elected; (d) his duties.

9. If a man thinks the assessment on his farm is too high, where may he go to have the matter adjusted?

10. Give the composition of the following boards:

Township board.

(b) Board of supervisors.

(c) Board of school examiners.

(d) State Board of Auditors.

COURSE OF STUDY.

ALL GRADES.

1.

2.

(a) What is a course of study?

(b) Mention its advantages and its disadvantages, or dangers.

What marked departures from previous courses are found in the 1908 course?

3. Discuss one of these departures.

4. Give brief outline of the entire course in arithmetic.

5. Discuss "alternation" with reference to (a) its practicability, (b) its economy.

6. Outline the elementary agriculture for any two years.

7.

8.

Give seven of the most helpful "Suggestions to Teachers" found in the introduction. Mention for each of the first four grades one of the suggested poems.

9. State the principal suggestions in the Course of Study relative to United States history. 10.

NOTE.-Answer a or b.

(a) What portions of the Course of Study have you found most difficult to follow in a rural school?

(b) What portion, if any, of the Course of Study seems obscure, or unnecessary in a rural school?

GENERAL HISTORY.

FIRST GRADE.

1. Describe Athens in the age of Pericles as to (a) naval power, (b) government, (c) strength and weakness, (d) public improvements, (e) general ascendancy.

2. What were the results of Hannibal's invasion of Rome?

3.

What permanent influence did the Anglo-Saxon occupancy of England exert upon her civilization?

4. Which treaty marked the end of the religious wars? Mention three territorial boundary changes and five important articles respecting religion decided upon by this treaty.

5.

6.

When did Edward VII become king of England? Give three important events of his reign.

Mention three reforms instituted by Napoleon. What permanent influence did his governmental reforms have upon the governments of continental Europe, and how did his internal improvements permanently affect France?

7. What was the Petition of Right? The Inquisition?

8.

State the conditions in England that made it impossible to avoid revolution in the reign of Charles I.

9. What was the place and mission of Egypt in early civilization?

10. Give a brief account of the Turkish revolution of 1909.

SECOND GRADE.

1. What important events have been taking place recently in Turkey?

2. (a) Name the most important countries constituting the British Empire. (b) What are the political ties that bind them together?

3.

4.

Why do some of the best law schools require their students to have a knowledge of Roman history and the Latin language?

Of what value is a knowledge of English history to an American?

5. Which of the two, Julius Cæsar or Napoleon Bonaparte, do you think did the more for the advancement of civilization? Give your reasons.

6. Give in a few lines what is meant by the Renaissance.

7.

Do you think that the Crusades furthered or hindered the advancement of modern civilization? Give reasons for your answer.

Give a brief account of the formation of the present German Empire.

8.

9.

10.

What were some of the most important beneficial results of the French Revolution? Give a sketch of the two peace conferences at the Hague.

GEOGRAPHY.

FIRST GRADE.

1. Name and define the three great physiographic processes.

2.

3.

What is meant by the life history of a river or river valley? Give characteristics in youth, maturity and old age.

Define (a) cycle of erosion, (b) peneplain, (c) monadnock, (d) mesa, (e) butte.

4. What is meant by the rejuvenation of a stream? Name several effects of rejuvenation which serve to distinguish or detect it when it has occurred in a valley. 5. Give the evidence which proves conclusively that North America was once partially beneath an ice cap or ice sheet.

6.

7.

8.

Describe and explain the origin or cause of fiords, giving examples of three regions where they exist.

Give names, location, wind directions or other characteristics of the chief wind and calm belts which go to make the planetary circulation or general winds of the earth.

Describe and explain the rainfall or precipitation of the earth as it is affected and determined by the planetary or general circulation of the atmosphere.

9. Explain the causes of weather changes in the temperate zones.

10.

Give three classes or kinds of mountains, the characteristics, and an example of each.

SECOND GRADE.

1. Explain fully how changes of seasons are caused.

2. Give the location, direction of wind or motion of air for each of the following wind and calm belts: (a) trade winds, (b) westerlies, (c) doldrums, (d) horse latitude belts.

3.

Why are the trade winds usually dry winds, the doldrum belt a wet belt, and the horse latitude belts dry belts?

Name several important changes in the physical geography of North America produced by the glaciation of a large portion of the continent during the glacial period.

What and where is the "Driftless Area"?

Explain the origin of Chesapeake Bay. Name three other bays or harbors produced in a similar way.

4.

5.

6.

7.

8.

each.

9.

Why is mining so liable to be the chief industry of mountainous regions rather than in plains or plateaus?

10.

Give the characteristics of (a) a young stream and valley, (b) mature stream and valley, with an example of each.

Define water gap or narrows, delta, alluvial fan and mesa, giving an example of

1.

Why should the teacher of grade geography know thoroughly and well the subject of physical geography?

THIRD GRADE-BOTH CLASSES.

Define weathering of rocks and explain how it is accomplished.

2. Name the chief transporting agents on the surface of the earth and one land form resulting from deposition by each agent.

3. What are flood plains? How are they formed and what relation do they have to human life?

4.

(a) Explain how rivers tend to destroy lakes.

(b) Why should the waters of the Mississippi be muddy and subject to flood, while the St. Lawrence is quite free from both?