Saturday, May 19, 2018

Eighth Grade Examination - Arithmetic

ARITHMETIC

(Write on any five of the questions)
  1. A field in the form of a square contains 30acres. It is to be inclosed by a fence costing 85c. per rod. Find the cost of the fence. 
  2. Find the cost of plastering the walls and ceil¬ing of a school room 28 ft. wide, 36 ft. long, and 12 ft. high, at 30c, per square yard. 
  3. Estimating the weight of a cubic foot of water at 62:1, pounds, what is the weight of water from an inch of rain fall upon an acre of level ground? 
  4. Give dimensions of a cord of wood. Find the cost of a pile of wood 64 ft. long, 8 ft. wide and 4 ft. high, at $8.50 per cord. 
  5. The assessed valuation of district 66 is $202,¬629. The law allows the directors to levy 14% for building purposes and 1.tfr% for educational purposes. How much money might raised in this district? 
  6. Express as percent the following:
    ½            4/5            7/8             1/3                  1 2/5
  7. What percent of a section of land is 100 acres? Find the number of which 12 is 20%; 13 is 33A%; 27 is 75%. 
  8. To five units add five hundredths, and five thousandths. Multiply the sum by five hundredths, and divide the product by twenty-five hundredths. 
  9. A farmer sold 141 cords of wood a $3.87 per cord; he bought 198 pounds of sugar at $6.50 per hundred and spent the remainder for flour at $4.30 per hundred. How much flour did he receive? 
  10. The longitude of Boston is 71 degrees, 3 min¬utes, 50 seconds west, and of Berlin 13 degrees, 23 minutes, 44 seconds east. What is the difference in longitude? In time?
  11. Draft in pounds required to draw one ton over level roads composed of different materials has been estimated as follows: 
    • Loose sand roads 448 pounds 
    • Ordinary dirt roads 224 pounds 
    • Common macadam road 64 pounds 
    • Hard and smooth macadam 46 pounds 
a. If a team of horses can draw one ton on a loose sand road, how much can the same team draw on a common macadam road?
b. A load of 35 bushels of wheat is hauled over an ordinary dirt road. How many bushels may be hauled over a hard macadam road, using the same force?
One of ten parts of the Winnebago County, Illinois Eighth Grade Examination given on May 5th and 6th, 1916.

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