Examination Questions




246

ARITHMETIC.

CLASS D.

  1. If the sun’s distance from the earth is ninety-one millions of miles, and light takes eight minutes to traverse that distance, how many days are required for the light to reach the earth from a star which is one million three hundred and seventy-five thousand times further from us than the sun is? and how many more days from a star which is one million six hundred and twenty-four thousand times further off than the sun?

  2. How many minutes are there in 9023 ½ days?

  3. Reduce 360 degrees (of 69½ miles) to inches, and write the answer in words.

  4. Reduce 4 ¾ acres to square yards.

  5. A gentleman had a service of plate which weighed a thousand ounces. Some thieves broke in and stole 2 pairs of candlesticks weighing 9 ozs. 10 dwts. 5 grs. each pair; a vase weighing 36,920 grs.; 3 dozen spoons, each spoon weighing 18 dwts.; and 6 dozen spoons weighing 25 ozs. per dozen. What was the total weight of the articles stolen, and how much was left?

  6. How long would 7 tons 18 cwt. of biscuit last, served out to 132 men at the rate of 3lb. 8 oz. 1 dr. per day?

  7. How much in the £ can be paid if a bankrupt’s effects amount to £464 7s. 6d., and his debts to £1,250.

  8. Divide ¾ of ⅝ of 18 by ⅜ of ⅛ of ⅕.

  9. What is the value of ⅜ of a cwt.?

  10. If 3.25 ounces of silver be sold for £0.975, what is the value of 8.75 lbs.?

  11. Reduce ⁴⁷⁄₇₀ to a decimal fraction; and .9375 to a vulgar fraction in lowest terms.

  12. What is the value of .251 of an acre?

  13. A draper buys cloth at 16s. 4d. per yard, and sells it at 17s. 9d.; what is the gain per cent.?

  14. A bankrupt owed to A. £470 10s.; to B. £1,090; to C. £715 8s. 8d.; to D. £153 15s. His property amounted to £1,200. What did each creditor receive?

  15. What will be the cost of painting the walls and ceiling of a room 12 feet high, 18 feet long, and 14 feet wide, at 2s. 8d. per yard?

  16. Find the square root of 2052.09; and of 61 ⅛.

  17. What is the present value of £420 due in 9 months, at 7 ½ per cent. per annum?


ALGEBRA AND GEOMETRY.

CLASS D.

  1. If a = 1, b = 4, c = 5, d = 7, e = 0, find the value of

    (1.) 3ae + bce - e² - cd + d³.

    (2.) a² + 2ab + b².

    (3.) a³ + 3a²b + 3ab² + b³.

    (4.) √b + e + d.



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Online Sources for this page:

VUW Te Waharoa PDF Canterbury Provincial Gazette 1875, No 32





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🎓 Arithmetic Examination Questions

🎓 Education, Culture & Science
Arithmetic, Mathematics, Class D, Examination Questions

🎓 Algebra and Geometry Examination Questions

🎓 Education, Culture & Science
Algebra, Geometry, Mathematics, Class D, Examination Questions