UIHistories Project: A History of the University of Illinois by Kalev Leetaru
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Repository: UIHistories Project: Board of Trustees Minutes - 1870 [PAGE 48]

Caption: Board of Trustees Minutes - 1870
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32

8. Required the proceeds of a ninety-days' ttote for $100.00 discounted at a bank at 10 per cent. 9. Sold 9 1-6 cwt. of sugar at $S}£ per cwt. and thereby lost 12 per cent, how much was the whole cost ? 10. When it is 7 P. M. at Springfield, 111., in 89 deg. 33 min. W., what is the time at Cambridge, England? 11. What is the square root of .0043046721 ? 12. Required the cube root of 212176173. GEOGRAPHY. 1. Define Mathematical, Political and Physical Geography. 2. What motions has the earth, and to what phenomena does each motion give rise ? 3. What is the order of the continents in extent of surface ? 4. Describe the mountain systems of North and South America. 5. Name in their order the principal rivers of the Atlantic slope of the United States. 6. Name the countries of Europe, and their capitals. 7. Give the boundaries, and four largest towns of Illinois. 8. Describe the route of travel from Chicago to St. Petersburg, in Russia, and name the bodies of water, the rivers, countries, etc., which you would pass on your way. 9. Through what waters will a vessel pass, and in what directions sail, in going from Glasgow to Adrianople ? 10. Name the peninsulas of Europe and Asia, ALGEBRA. 1. How does the Algebra differ from Arithmetic ? 2. Distinguish between a coefficient and an exponent, and define a binomial a radical quantity and a surd. 3. What is an equation of the second degree ?

4. 5. 6. 7#

Divide xA — yA by x — y. Solve the equation, ( x + 1 ) 2 — 2% + 17. Find the sum ofY~50 mdVfS: of / I T and V~l~ V a -f x -/- V a — x V x __„ _ /, Find value of x. V x.

S. State what books, and how far you have studied in algebra. GEOMETRY. 1. Define a line ; a plane ; an angle; and a triangle. 2. Demonstrate the theorem—The sum of the angles of a triangle is equal to two right angles.