STATE DIPLOMA. GEOMETRY. 1. Prove: If two parallels are cut by a third straight line, the alternate interior angles are equal. 2. Prove: The lines joining the middle points of the sides of a triangle divide it into four equal triangles. arc. lar. 3. Prove: An inscribed angle is measured by one-half its intercepted 4. Given the three sides of a triangle to construct the triangle. Explain. Prove: Two triangles are similar when they are mutually equiangu 5. 6. Prove: In any triangle the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of these sides and the projection of the other side upon it. 7. Prove: The area of a regular polygon is equal to one-half the product of its perimeter and apothem. 8. Describe a circle through two given points tangent to a given straight line. 9. Show how you obtain the formula for finding the volume of a circu lar cone. 10. The sum of any two face angles of a trihedral angle is greater than the third. TRIGONOMETRY. 1. Name and define all the general trigonometrical functions. 2. Illustrate by diagram all the natural functions of an arc in the third quadrant. 3. Give the sine of 30°; the cosine of 240°; the tangent of 135°; the secant of 330°. 4. Derive an expression for the sine of x+y in terms of the sine and cosine of x and y. 5. 6. Prove a b:: sine a : sine b. Indicate the process of finding the angles of a triangle the sides of which are given, -writing out all the formulae required. 7. 8. 9. Show that cos. xtan. x+sin.xcot.x-sin.x+cos.x. Given the sides about the right angle of a right spherical triangle to find the other parts-write formulae and indicate process of solving. 10. Write formulae employed and indicate process of finding the sides of a spherical triangle, the angles of which are given. CHEMISTRY. 1. With what does the science of chemistry deal? 2. What is a chemical compound? A chemical element? 3. What are some of the characteristics that distinguish chemical forces from other forces? 6. Give an explanation of the phenomena of combustion, as observed in a candle flame. 7. Describe the action of zinc on hydrochloric acid, naming the products and stating to what class of chemical substances each belongs. 8. Define the terms acid, base, salt. What is meant by water of crystallization? 9. What is a "saturated" solution, and how does it differ, if at all from a concentrated solution? 10. Give the names of the following substances: CO, H F, H, S, Ca C2, Fe2 O, H2 S U1, H, O, H C N, H, N. ZOOLOGY. 1. Name and define the essential parts of an animal cell. What is the name of the group to which all one-celled animals belong? 2. To what sub-kingdom does the hydra belong? Make a sketch of one, naming the principal parts. 3. Name an animal belonging to the Echinodermata. Describe its water-vascular system. 4. Tell what you know about the anatomy of the clam, or fresh-water mussel. 5. What are the principal points of difference between a crustacean and an insect? 6. Name and define the principal parts of the eye of a vertebrated animal 7. Name and define the class to which each of the following animals belong: Fish, frog, turtle, bird, man. 8. Define the following sciences: Embryology, histology, morphology, paleontology, zoogeography. 9. 10. brate. 1. 2. Name and locate the bones in the mammalian head. Describe the origin of the central nervous system of a typical verte GEOLOGY. What is geology? What are the subdivisions of the science? What are rocks? Name ten of the common rock-forming minerals. 3. Into what kinds and classes are rocks divided? What kinds are most common in Iowa? 4. What is coal? History of a coal seam? To what geological age does the coal of Iowa belong? 5. What useful minerals besides coal are found in Iowa? Where? In what geological formations? 6. Construct table showing, in order of age, the successive geological formations as these are recognized in North America. 7. What geological work is accomplished by rains? By rivers. 9. Geological work of the atmosphere? What gases are most active in effecting geological changes? 10. What geological work is accomplished by plants and animals? Describe especially the work of marine animals. ASTRONOMY. 1. Give the distance and dimensions of the moon. Give a proof that there is no atmosphere upon the moon's surface. 2. Briefly outline the appearance and probable physical conditions of one of the planets 3. Why is Mercury never seen except as morning or evening star? 4. What is meant by solar parallax? 5. Briefly describe a sun spot 6. Briefly describe the two kinds of telescopes in use. 7. What is meant by sidereal time, and mean solar time? Which is the longer, the solar or the sidereal day. 8. Give a short description of a comet and its orbit. 9. Give a probable explanation for the November meteors. 10. What can you say regarding the distance, dimensions and arrangement in space of the stars? ital. POLITICAL ECONOMY. 1. Discriminate between wealth and capital; fixed and circulating cap 2. Discuss the production of immaterial wealth. 3. Define economic rent. Explain the conditions regulating economic rent. 4. State in full the various theories on the wages fund. Give your authority in each case. 5. Outline the history of trade unions, giving an exposition of their advantages and disadvantages. 6. Cite some instances of successful co-operative societies in America, and explain why they were successful. 7. Discuss in full the history of banking in the United States. 8. State arguments for and against Henry George's theory of taxation. 9. Dicuss feudalism from an economic standpoint. 10. Discuss the tramp problem. Suggest a remedy. RHETORIC. 1. Write a formal definition of rhetoric. guage are closely related to rhetoric, and how? What other branches of lan 2. What should characterize a good description? A good narrative? A good scientific essay? A devotional hymn? 3. What means would you employ in a course of study to awaken in a child the emotions of the beautiful? 4. What is criticism? Real criticism? Verbal criticism? Logical criticism? Give examples of each. 5. What instruction would you give regarding the choice and determination of a subject for a discourse? 6. Write ten lines showing how energy can be secured. In what kinds of discourse is energy most important? 7. Write fifteen lines showing the difference between wit and humor. Name good examples in literature of wit and humor. 8. Classify according to purpose the several kinds of poetry. To what classes do the following belong? "Evangeline, ""Merchant of Venice," "Hail Columbia," Pope's "Essay on Man.” 9. What is rhythm? Rhyme? Metre? A poetic foot? Blank verse? A sonnet? A verse? A stanza? 10. Construct the framework of an essay on, "The Value of Good Literature." LITERATURE. 1. Characterize early colonial literature. Name the principal writers of that period. 2. Explain fully how you would teach the Cotter's Saturday Night. 3. What place should Washington Irving have in a high school course? Write an abstract of fifteen lines of one of his works suited to high school study. 4. Classify the following into novels, criticisms, etc., and tell the author of each: Tanglewood Tales, Over the Tea Cups, Bonaventure, Ben Hur, Bigelow Papers, Home Sweet Home, the Concord Hymn. 5. Tell of the life and works of James Russell Lowell. 6. Give an outline of the Lady of the Lake. 7. Tell how King Arthur and the Round Table obtained their place in English literature. 8. What are the leading characteristics of Paradise Lost? 9. Explain the influence on English literature of French authors and German writers. 10. How would you study Hamlet? How would you teach it? What helps would you use? QUESTIONS IN HISTOY. 1. Why did not the protestant movement in England cause a civil war as it did in those continental countries which became protestant ? 2. Was Charles the Great (Charlemagne) a French or a German? Give the reason for your answer. 3. In the history of the Holy Roman Empire, what was the Great Interregnum? 4. In the history of the papacy what was the Babylonian captivity? 5. Why did the Calvinists finally outnumber the Lutherans in protestant Europe? 6. How did the policy of the Stuarts in England differ from that of the Tudors ? 7. State the chief features in Oliver Cromwell's government in England. 8. What charges of violated rights did the American colonies bring against the mother country? 9. State the points of contrast between John Adams and Thomas Jefferson. 10. What were the issues between the democratic and whig parties from 1840 to 1860. |