ARITHMETIC. The Board of Examiners. Every result must be reduced to its simplest form. The whole of the working of a question must be sent in as part of the answer. 1. Write down in words the quotient and remainder obtained by dividing one hundred billion, six hundred and ninety thousand, eight hundred million, five hundred and sixty-one thousand and ten, by eighty thousand three hundred and thirteen million, five hundred and seventy-eight thousand three hundred and thirteen. 2. Reduce to a decimal fraction correct to three places 7 1 − 1 + 2 − § + 16-32 1-3 +127+81-243 3. Reduce to a vulgar fraction the difference between the fourth power of 7 and the fifth power of .8. 4. Find by practice the value of 97 acres 3 roods and 25 perches at £5 per acre. 5. A person invests £10,000 in Victorian Government of the debentures be £98 10s., what is the 1. Dra 6. The area of a circle is found by multiplying the square of half its diameter by 3.1416. ^ Find the number of cubic inches in a tramway cable one inch in diameter and one mile in length. 7. The Age of Tuesday, September 29th last, was numbered 11,417. What will be the number of the paper on the last day of this year, there being no publication upon Sundays and Christmas Day? 8. Trains travelling 20 miles an hour are despatched from a railway station at intervals of 15 minutes. At what intervals of time will they be passed by another train travelling in the same direction at a rate of 25 miles an hour ? 9. At what time, between two and three o'clock do the hands of a watch point in exactly opposite directions ? 10. Multiply 37 by 25 and explain clearly the reason for every step in the process. GEOGRAPHY. The Board of Examiners. The Map must be attempted, 1. Draw a map of South America, showing the coast line, the political divisions, and the river systems. Mark on the map the chief town of each political division. ICE ONE SHILLING, 2. State the position, and write a short account of each of the following:-Canton, Chicago, Leeds, Mytilene, Novgorod, Oude, Rockhampton, Samoa, Seychelles Islands, the Transvaal. 3. Name the chief centres of production of silver, copper, steel, sugar, raw cotton, manufactured cotton, tobacco, indigo, silk, lace. (Indefinite answers, such as India, the United States, will not be accepted). 4. Describe shortly the physical geography of West Australia. 5. Write a short account of the political geography of the Dominion of Canada. 6. Describe the river system of the Ganges. Give a short account of any four towns on its banks. 7. Define and explain the terms-Dew, sea, lake, watershed, isothermal lines, snow line, ecliptic, latitude. Why can we state absolutely the number of miles in a degree of latitude and not in a degree of longitude? 8. Explain the phenomena which result from the inclination of the earth's axis to the plane of its orbit. 9. State the leading circumstances which determine climate. 10. Account for the geographical limits of the trade winds and monsoons. 11. Write a short account of the commerce of Great Britain. CHEMISTRY. BOARD E. What volume of chlorine can be obtaineu ..um that quantity of salt which is sufficient to yield a litre of hydrochloric acid ? What general law is here illustrated ? Explain the reasons for your answer. 2. When a mixture of finely divided iron and sulphur is heated, combination occurs. How do you 3. If the compound produced by the method described in the last question be placed in a flask, and covered with dilute acid, a gas is evolved; and if this gas be led into a solution of potash, it is absorbed. Explain all that happens. a 4. Calculate the simplest possible formula for a com pound containing six-sevenths of its weight of carbon, and one-seventh of its weight of hydrogen. Give examples of other formulæ which equally well represent this composition. RICE ONE SHILLING. 5. What do you understand by quick lime and slaked lime? How may they be obtained from limestone? 6. How is phosphate of lime best obtained in quantity? How could you make some if you were given phosphorus, water, and lime? PHYSICS. BOARD E. Questions must be attempted from both divisions of the paper, but not more than FOUR from either division. A. 1. Define "Work" and "Energy." What are the two principal forms of energy with which dynamics is concerned? Distinguish carefully between the "Displacement," "Motion," and "Velocity" of a body. 2. What is "Force," and how is it measured? How long must the force of gravity act on a body falling freely from rest before its velocity is equal to its acceleration? 3. State the "Laws of Friction," and give an explanation of the origin of this phenomenon. What is "Limiting Friction," and how may its value be determined? |