THEORY AND ART. 1. (a) What is the value of the study of psychology? (b) In your study of psychology what benefits have you received for the practical work of the schoolroom? 2. Discuss the three most important requisites of a teacher. 3. Define the following: (a) envy, (b) jealousy, (c) malice, (d) revenge. 4. Mention two of the world's greatest educators and explain the essential differences in their views. 5. Discuss the “Batavia Method." 6. What is the justification from a psychological point of view for teaching drawing and music in the public schools? 7. Discuss under classified heads one of the following topics: (a) Discipline, (b) the recitation, (c) waste in the schoolroom. 8. (a) What is the educational value of a definition? (b) When should a definition be taught? 9. Give five laws of mental growth and a principle of teaching founded upon each. 10. Define: (a) consciousness, (b) imagination, (c) attention, (d) judgment, and (e) discuss attention. UNITED STATES HISTORY. 1. Upon what did the following nations base their claims to territory in the New World: England, Spain, France? 2. Give an account of the organization and work of the London and Plymouth companies. 3. Sketch the work of the constitutional convention of 1787. 4. What events led up to the election of Jefferson, Lincoln and Cleveland? 5. What results followed the Alien and Sedition laws, Dred Scott decision? 6. Locate in history the following: James G. Blaine, Henry Clay, William H. Seward, Lewis Cass, John C. Fremont, John Hay, Cyrus Field, Edward Everett Hale, Washington Irving, Rufus Choate. 7. Speak of the social conditions in the “South” at the present time. 8. What is the origin of the present difficulties between the United States and Japan? 9.- What was the function of the first National Bank? What of the present National Banks? 10. What is the present status of railroad rate regulation? ZOOLOGY. 1. Where have you studied zoology? How much time have you given to labora tory work? What specimens have you examined? 2. Give a careful statement of observations made on one specimen. 3. Name sive men prominent because of their researches in zoology and biology. 4. Describe the structure and habitat of the coral, oyster, sponge. 5. Describe the anatomy of the infusoria. 6. Give the history and method of development of the codling moth. 7. Name the different classes under Arthropoda and give general characteristics of each. 8. Compare plants and animals as to origin, development, composition, and propagation. 9. Give general statement of circulatory systems of invertebrates. 10. Define tranch, class, order, genus, species. COUNTY EXAMINATIONS. I. Questions prepared by the Superintendent of Public Instruction for the regular examination, June 20-22, 1907. ALGEBRA First Grade. 1. Find the H. C. D. of 6 x 2 + 13 x – 5, 3 x 3 + 2 x2+2x– 1, 6 x3 + 19 x: + 8x --5. 2. Reduce to simplest form a + b a 2 + b 2 a 3 + b3 3. Discuss simple equations under two of the following heads: (a) Impossible, (b) negative results, (c) variables, (d) limits, (e) inequalities. 4. Deduce the formula for the cube of a number and apply the same in extracting the cube root of a number. 5. Factor xs-ys-3x y (x - y); (a ? + a - 4) ? – 4;X2 + xy – 6 y? + x + 13 y-6. 6. What is a logarithm? What advantage in the use of logarithms? 7. The sum of the terms of a fraction is 17. If the numerator is increased by 5, and the denominator diminished by 5, the product of the resulting fraction and the original fraction is 4-21. Required the fraction. 8. A man rows down stream 12 miles in 4 hours less than it takes him to return. Should he row twice as fast, he would go down stream 10 miles an hour. Find his rate in still water. 9. Find three quantities in arithmetical progression such that the sum of the squares of the first and third exceeds the second by 123, and the second exceeds one-third the first by 6. 10. Given a, n and I in a geometrical progression, to find the formula for r and s. Second Grade. 1-2. Discuss the following: (a) the signs plus and minus in algebra, (b) change of sign, (c) “Like signs produce plus, unlike signs minus." 3. Divide a ? - b ? by a 1 - bị. 4. Factor x - y *; 27 x3 – $ y 3; 3 x 3 -- Xy - 4 y . 5. Discuss exponents. 6. Difference between A's and B's ages is 24. Eight years ago A's age was 4 times the age of B. How old is each? 7. In a number of three digits the units' figure is 3 times the hundreds' figure and the tens' figure equals the difference between the hundreds' figure and the units' figure. If 18 be added to the number the tens' and units' figures will change places. What is the number? 8. Divide 36 into two such parts that their product will be 320. 9. The number of dollars A has multiplied by the number B has is 96; but if A gives B $4 their money will be equal. How much has each? 10. The sum of three numbers is 100. The first plus its one-half equals the second, and the second is 9-10 of the third. What are the numbers? 10 ARITHMETIC. First and Second Grades. Second grade answer first ten; first grade the last ten. 1. At 16% premium what will be the income on U. S. 5's which can be bought with $464.50, brokerage 48%? 2. Find the L. C. M. of 2, 1, . 3. How many cords of stove wood in a pile 35 ft. long, 61, ft. high at one end, increasing in height to 814 ft. high at the other end? 4. Draw a negotiable 60-day note due Jan. 30, 1908, and compute the interest on the same at legal rate. 5. Find the surface of a block that is square on the end and three times as long as wide, containing 81 cu. ft. 6. The longitude of Paris is 2° 20' 22" E. When Omaha time is 11 min. 571/2 sec. p. m. on Tuesday, what is the longitude of Omaha, if it is 45 min. past 3 a. m. Wednesday in Paris at the same instant? 7. A man succeeded in insuring a house worth $7,900 at such a price as to cover both the value and the insurance at a rate of 114%. What was the face of the policy? 8. A horse was sold for $175 at a loss of 1214%. What would have been the selling price had there been a gain of 1242%? 9. How thick a shell must be taken from a ball 10 in. in diameter to get one third of the ball? 10. What is the diagonal of a cube of silver weighing 8 lbs.? 11. A sphere and a cube have the same solid contents, 10 ft. What is the ratio of their surfaces? 12. Commission on buying is 5%, on selling is 3%. I send my broker cash to use for me in buying and selling. He buys stock and sells it at 10% advance, sending me $17 net profit. For how much did he sell, and how much did I send him? 13. Draw a negotiable 90-day note drawing 6%, such that discounted the same day at 10% it will produce $1,000. CLASS B. Third Grade. 1. Give your method of teaching pupils to write decimals. 2. Give a model lesson on some topic in percentage. 3. A man owns a farm of 120 acres which he rents at $500 per annum. He pays annually $75 taxes and $50 repairs. How much will his net income be changed if he sells the farm at $60 an acre and invests in 6% non taxable stock at 20% premium? 4. Which is better 4% stock' at 10% discount or 6% stock at 20% premium, and how much? 5-6. At $20 per thousand what will the lumber cost to cover the roof of a 30x40 foot barn, the ridge being 20 ft. above the plate and the eaves project ing 2 ft.? 7. The space necessary to store 1,000,000 silver dollars is 250 cu. ft. On April 30, 1901, there were $436,485,494 silver dollars in the U. S. Treasury. How much space was required to store it? 8. Make out in proper form a receipted bill for 10 articles bought at a general store. 9. A boy 150 ft. from a tree flies his kite into the top, using 250 ft. of string in so doing. If his hand holding the string is 6 ft. from the ground, how high is the tree. 10. Find the diagonal of a cube containing 1,331,000 cu. in. CLASS A. 1. Give your method of writi decimals. 2. Give a model lesson in fourth grade work. 3. Make a problem that will be solved by the following indicated operations: (4 7 $16) + ($3 X4). 4. Explain, as to a class, substracting when a figure of the subtrahend is greater than the corresponding figure of the minuend. 5-6. At $20 per thousand what will the lumber cost to cover the roof of a 30x40 foot barn, the ridge being 20 ft, above the plate and the eaves project ing 2 ft.? 7. The space necessary to store 1,000,000 silver dollars is 250 cu. ft. On April 30, 1901, there were $436,485,494 silver dollars in the U. Ş. Treasury. How much space was required to store it? 8. Make out in proper form a receipted bill for 10 articles bought at a general store. 9. Sold 14 of my farm at $20 an acre and invested 3 of the proceeds in 25 cows at $36 each. How much had I at first? 10. % of of 12 is 1/2 of 2 times what? MENTAL ARITHMETIC. All grades. Second and third grade applicants analyze fully without algebraic equations, the first five; first grade applicants the last five. Twenty-five credits for this work. 1. What part of 34 of 60 is 2 of 30? 2. If 34 of a farm at $40 an acre costs $2,400, how many acres in the farm? 3. Sold a horse and cow for $270, receiving 2-7 as much for the cow as for the horse. What did I receive for each? 4. Divide 12 apples among three boys so that the first shall have 14 as many as the second and 1, as many as the third. 5. A can do % as much as B. Together they can build a fence in 144 days. How long for each to build it alone? 6. A train passes a telephone pole every 4 seconds. If the poles are 66 feet apart, how many miles per hour is the train going? 7. A boy can pick up twice as many potatoes as his father but can dig only one-half as many. They together can dig 12 bushels in an hour and pick them up in 20 minutes. How many bushels can they dig and pick up in 2 hours? 8. The men in a factory struck for a raise of 1216,%. The proprietor com promised by reducing the 10-hour day instead. What was the length of the new day? 9. I bought two lots for $600 and $900 respectively. I sold them both at the same price, gaining the same per cent on one that I lost on the other. What was my real gain or loss per cent? 10. B sold goods costing $300 to C; C sold them to D for $432. Both men made the same gain per cent. What was the gain per cent? BOTANY. First Grade. 1. Upon what bases are plants divided into classes and families? 2. What phases of botany do you emphasize in your teaching? Why? 3. Describe the pistil of a flower, giving the function of each part. 4. Give the morphology of the floral parts of a plant. 5. Describe the processes leading to the formation of seeds. 6. Explain the terms perianth, perigynous, gamopetalous. Describe the different methods of attachment of the anther. 7. Name the important plant foods and state how and where the plant obtains them. 8. Describe the structure of wood, bast fibers and grit cells. 9. Explain the word tissue as used in botany. 10. Describe plant circulation, transpiration, storage of plant food. Second Grade. 1. Describe the process of germination of seeds. 2. Name the parts of a complete flower and describe each. 3. Describe in full the method of propagation, growth and fruit of the strawberry. 4. Name four root forms and name plants having them. 5. Define panicle, cyme, raceme, umbel, spike. 6. Describe the general structure of a herbaceous stem. 7. Name ten early spring flowers. What is the habitat of each? 8. Name several plants suitable for window gardens. 9. Describe the berry, the pome, the drupe. 10. Why do plants wilt and corn leaves roll in a dry time? CIVIL GOVERNMENT. First and Second Grades. Applicants for second grade answer the first ten; for first grade, the last ten. 1. What are the qualifications for Congress? 2. Discuss Gerrymandering, and illustrate, as to a class, its workings. 3. Give the Constitutional provisions with reference to the adjournment of either house of Congress. 4. In what ways has the Speaker of the House special influence upon legislation? 5. (a) State the Constitutional provision under which Congress can raise money to carry on the government. (b) How was this applied in the recent war with Spain? 6. Filibustering. What is it? Illustrate its workings. 7. How does the United States borrow money? Give illustration. 8. How many senatorial districts are there in Michigan? In which do you live? 9. Give the method of pardoning criminals in Michigan. 10. Discuss the power of Congress over commerce. 11. What are the prohibitions of the Constitution? 12. Give the principal duties of the Auditor General of Michigan. 13. Outline the Federal Judiciary. Third Grade. Both Classes. 1. (a) What are the three general departments of government? (b) Briefly outline one of these departments of the United States government. 2. Give the powers and duties of the President as outlined in the constitution. 3. When do the following take place: The convening of Congress; of the State legislature; inauguration of the President; election of United States senator? 4. What are the qualifications for voting in Michigan? 5. Why are senators in Congress chosen for a longer period than are the repre sentatives? 7. (a) How does an alien become a voter? (b) Why should he do this before being given the right to vote? (c) Would you change the length of time? 8. Where must bills for raising revenue originate? Give a reason for this. 9. Give five parallels between the United States constitution and the Michigan State constitution. 10. How may the State Constitution be amended? COURSE OF STUDY. All Grades. 1. Outline the fifth grade. 2. In general, what is the difference between the teaching of first or second grade pupils and that of seventh grade pupils? 3. Name four of the poems given for memorizing. 4. What is recommended with reference to "checks” upon arithmetic work? 5. In what grades is spelling from a text-book recommended or implied ? 6. Explain the plan of “alternation" suggested. 7. What topics are treated in commercial geography? 8. Outline the plan of teaching history. 9-10. Criticize the Course of Study under the following heads: (a) Methods, (b) omissions, (c) changes needed. 1. GENERAL HISTORY. First Grade. Discuss the temperament and religion of the Greeks. Were they influenced by their environment? If so, how? (a) Give results of the Battle of Arbela. (b) What became of Alexander's empire after his death? (a) Discuss the conspiracy of Catiline. (b) What was the First Triumvirate and what did it do? 2. 3. |