3. Reduce to a vulgar fraction in its simplest form•3695877 × 999.

4. Find the compound interest upon 370 dollars in four years at six per cent.

5. Find the square root of

9.480241.

6. If it cost 77 per cent. of the gross returns from a silver mine to work the mine when the price of silver is 3s. 6d. per oz., by how much per cent. will the dividends decrease by reason of a fall in the value of silver to 3s. 3d. per oz. ?

7. The area of a circle is found by multiplying the square of half its diameter by 3.14159.

By how much is the area of a circular racecourse increased by increasing its diameter from 1,868 to 2,000 yards?

One wheel of a locomotive engine five yards in circumference revolves 3,520 times in a certain journey. Another wheel of the same engine revolves 4,400 times in the same journey. Find the circumference of the second wheel.

9. There are 277 274 cubic inches in a gallon of water. Find correct to three places of decimals the number of gallons of water which will cover the floor of a room 21 feet 6 inches long by 15 feet 3 inches wide to a depth of 7 inches.

10. Show how to add, giving your reasons for each step of the process, 1.5639 and 12.6342.

GEOGRAPHY.

The Board of Examiners.

The Map must be attempted.

1. Draw a map of Australia (excluding Tasmania), showing the division into colonies, and the principal mountains, rivers, lakes, capes, bays, and gulfs. Mark on the map every tenth degree of latitude and the following towns:- Albany, Ballarat, Broken Hill, Deniliquin, Kimberley, Newcastle, Port Darwin, Rockhampton, Sandhurst, Warrnambool.

2. Describe or sketch the position of the different states of the Balkan Peninsula. Explain the nature of the government of each.

3. Write a short account of the colonies and foreign possessions of Holland.

4. Describe the physical and political geography of Egypt.

5. What commercial advantages of position are possessed by Bombay, Cadiz, Chicago, Constantinople, London, Melbourne, Odessa, Rio Janeiro, San Francisco, Sydney?

6. Define and explain the geographical terms-Atoll, equator, fog, geyser, month, Tropic of Capricorn, zenith.

7. Define longitude. Describe a method of ascertaining the difference of time between two places, say Adelaide and Melbourne.

8. Explain the causes and variations of the tides.

9. Account for the geographical limits of the trade winds and monsoons.

10. Write a note on the geographical importance of mountains.

CHEMISTRY.

The Board of Examiners.

1. Explain the bleaching action of chlorine.

2. Describe the two oxides of sulphur, giving in each case the chief properties, the modes of preparation, the formula, and the percentage composition.

3. Silicon is, next to oxygen, the most plentiful of all known elements; yet it is rarely seen. Give facts to justify the former of these statements, and explain and account for the latter.

4. In what important respects do sodium and potassium differ from the majority of well-known metals? How may they be distinguished from one another?

5. Describe, and also give an equation for, the action of nitric acid on each of the following:

(1) Potash solution; (2) ammonia solution; (3) carbonate of lime; (4) phosphorus; (5) copper.

6. In the first of the reactions referred to in the last question, calculate from your equation the weight of pure potash acted on by nine grammes of pure nitric acid. How can it be practically ascertained, without weighing or measuring, when the two substances have been mixed in exactly these proportions?

PHYSICS.

The Board of Examiners.

Questions must be attempted from both divisions of the paper, but not more than FOUR from each division.

A.

1. How is the unit of length defined in different countries? State the advantages and defects of

any one form of this unit with which you are acquainted.

2. State Newton's second Law of Motion, and show how we may obtain from it—

(a) A measurement of force.

(b) A comparison of the equality or inequality of two masses of matter.

3. Define Centre of Gravity, and show how to prove that the centre of gravity of a uniform circular plate coincides with its centre of figure.

4. Define Pressure, and explain clearly what is meant by "the pressure at a point."

Calculate the pressure at a point 10 feet below the surface of the water in a pond (open to the atmosphere), the weight of a cubic foot of water being 1,000 ounces.

5. Sketch, and explain the action of, the Bramah Press. State any industrial purposes to which it is commonly applied.

B.

1. Describe some good method of determining the co-efficient of Linear Expansion of a solid rod.

2. "The Latent Heat of steam is 537." What does this statement mean? How much steam would have to be passed into a kilogram of ice-cold water in order to raise it to the boiling point?

3. Distinguish between Evaporation and Ebullition. 4. Define Radiation, Absorptive Power, Emissive Power. How would you compare the Absorptive Powers of different substances for Radiant Heat?

5. What is meant by the statement that "Heat and Work are mutually convertible"? How can it be proved?