19. Purchased stock at a premium of 8 per cent. What rate of interest do I receive on the investment if it pays an annual dividend of 6%? 20. Find the volume of a cube the area of whose surface is 100.86 square inches. 21. How many apples must a boy buy and sell to make a profit of $9.30, if he buys at the rate of 5 for 3¢ and sells at the rate of 4 for 3¢? 22. Find the cost of 1875 lb. hay at $6.50 per ton. 23. What is the interest on $1200 from Sept. 21, 1898, to May 5, 1899, at 7% per annum? 24. The area of a square field is 10 acres. distance diagonally across the field? What is the One thousand 25. A "drummer" earns $2500 a year. dollars of this sum is a guaranteed salary. The remainder is his commission of 5% on his sales. What is the amount of his annual sales? 26. The area of a triangle is 325 square inches. Its base is 25 inches. What is its altitude? 27. Gave 63 lb. butter worth 36¢ a pound for 3 gal. oil. What was the cost of the oil per gallon? 28. A can build a certain wall in 10 days; B can build it in 12 days, and C, in 15 days. In how many days can they build the wall working together? 29. A horse and a carriage together cost $550. The horse cost as much as the carriage. Find the cost of each? 30. A man willed of his property to his wife, of the remainder to his daughter, and the rest to his son. The difference between the wife's portion and the son's portion was $12480.33}. How much was the man worth? 31. (a) How many loads, each containing a cubic yard, will be required to fill a street 150 feet long, 50 feet wide, and 2 feet deep? (b) How much will it cost at 18¢ per cubic yard? 32. A right triangle has two equal sides. Its hypothenuse is 100 rods long. (a) Find one of its two equal sides. (b) Find its area. 33. What is the ratio of the area of a circle to the area of its circumscribed square? 34. What is the ratio of the square of the radius to the square of the diameter of the same circle ? The rate of tax is 1%. 35. A man's tax is $37.50. Property is assessed at 30% of its value. property worth? What is the man's 36. A field containing 160 acres is 40 rods wide. At 45¢ a rod, how much less would it cost to fence a square field containing the same number of acres? 37. My agent in Baltimore having sold a consignment of grain, after taking out his commission at 3%, and paying a freight bill of $1125.00, sent me a draft for the amount due me-$19536.00. For how much was the grain sold? 38. How many pickets 4 inches wide, placed 3 inches apart, are required to fence a garden 21 rods long and 14 rods wide? 39. At $6.30 a cord what is the value of wood that can be piled under a shed 50 ft. long, 25 ft. wide, and 12 ft. high? 40. Find the curved surface of a cylinder 6 ft. in diameter and 12 ft. long. 41. (a) What is the bank discount and (b) what are the proceeds on a note for $125 payable in 90 days, the rate of discount being 8% ? 42. If sugar that cost 5¢ a pound is sold at 18 lb. for a dollar, what is the gain per cent? SET I. COOK COUNTY, ILLINOIS. Eighth Grade Examination for County Superintendent's Diploma. June, 1897. O. T. BRIGHT, Supt. Time, 9:30 to 12. ratio of (a) .2% to 2%? (b) 5+.5 = ? .5 ÷ .05 = ? (e) .005÷.5 = ? (f) .05÷ 2. A girl spelled correctly 95% of 60 words. words did she miss? How many 3. When a vessel sails 168 miles a day, she completes her voyage in 14 days. In what time would she complete it if she sailed 196 miles a day? It was 4. A three inch cube was painted on all sides. then cut into inch cubes. (a) How many of the inch cubes were painted on three sides? (b) How many on two sides? (c) How many on one side? (d) How many were not painted at all? 5. Fill the blanks in the following: A boy had a fish pole 15 feet long. A piece equal to 20% of its length was broken off while catching fish. % of the whole pole. -% of the part remaining. % of the part broken off. of a certain section of land fields. (a) What is the (a) The part remaining was (b) The part broken off was (c) The part remaining was 6. The N.E. of the N. W. was fenced off into four equal shortest length of fence necessary? (b) How much land in each field? 7. A straight pole 72 feet high is broken 20 feet from the ground, but is not detached. How far from the foot will the top reach? SET II. NEW HAVEN (CONN.) PUBLIC SCHOOLS. Extrance Examination to the High Schools. (Answer 10 entire questions.) 1. (a) 13 oz. is what per cent. of 5 lb. avoirdupois? (b) A man added 18 cows to his herd, thereby increasing the number 25 per cent. How many cows has he now ? 2. If lead pencils that cost 3 cents each, are sold for 5 cents each, what is the per cent. of profit? 3. Find the interest on a note for $330 at 6 per cent., given August 3, last year, and due to-day. 4. Write a negotiable, interest-bearing, promissory note. 5. (a) Divide of of 71 by 33. (b) Subtract 8 from the sum of 51, 2, 47. 6. A rectangular field is 86 rods long and 46.875 rods wide. How much wheat will it produce at the rate of 20 bushels per acre? 7. A rectangular park, the sides of which are respectively 45 rods and 60 rods long, has a walk crossing it from corner to corner. How long is the walk? 8. If of 9 bushels of wheat cost $131, what will § of a bushel cost? 9. If hay sells for $14 a ton at a loss of 12 per cent., what must it sell for to gain 15 per cent? 10. How many pounds of a broker buy for $9225, and cent.? cotton at 71 cents a pound can retain his commission of 2 per 11. Find the proceeds of a 3 months' note for $500 discounted at a bank at 6 per cent. 12. If a building 20 feet high casts a shadow of 6 feet, what length of shadow will a church spire 114 feet high cast? SET III. COOK COUNTY, ILLINOIS. Applicants for Teachers' Second Grade Certificates. Fill the blanks: "Mental Arithmetic." Time, 20 minutes. 1. By a sale of goods, I lost 121%. The cost was % of the selling price. 2. The circumference of a 3 in. circle is radius. 3. A five inch square is square. % of its % greater than a four inch 4. I buy apples four for three cents and sell them three for four cents. I gain per cent. 5. A and B are 78 miles apart and walk toward each other; A walks 3 miles an hour and B 3 miles an hour. When they meet B will have walked - miles. 6. A stick of timber 15 inches square and 32 feet long contains board feet. 7. A horse trots 23 miles in 24 hours. His rate pei 8. $154 was divided among A, B, C, and D, in the pro portion of 1, 1, 1, 1. C got 9. A school contains 50 pupils: dollars. Monday, 3 were absent in the forenoon. Tuesday, 2 were absent all day. Wednesday, 3 absent forenoon and 2 afternoon. Thursday, 4 absent all day. Friday, all present. The per cent. of attendance for the week was 10. 64 gal. of wine and 16 gal. of water were mixed. One pint of the mixture contained of a gal. of water. |