fourteen by sixteen hundred million seven hundred and ninety-two thousand four hundred and fifteen.

4. Find by Practice the value of 13 tons 3 cwt. 3 qrs. 2 lbs. at £14 5s. per ton.

5. Find to the nearest franc the present value of 1,350 francs due 3 years hence at 4 per cent. compound interest.

6. Find a number which has the same ratio to 169 as 4,212 has to 1,521.

7. Extract the square root of

841.5801

1-0201

8. Assuming the volume of a sphere to be 4.18879 times the cube of its radius, find in cubic inches the volume of a sphere whose radius is 3 feet 7 inches.

9. An insolvent owes a creditor £397, and pays a dividend of 13s. 7d. in the pound. How much does the creditor get?

10. Explain clearly the reason of the process of carrying" in the rule for simple multiplication.

GEOGRAPHY.

The Board of Examiners.

1. Draw a map of South America. Mark the Equator, the Tropic of Capricorn, and the meridian 60° west of Greenwich. Insert on the map the following towns:-Callao, Cartagena, Cayenne, Lima, Monte Video, Rio de Janeiro, Santiago, Valparaiso; the rivers Amazon, Orinoco, and la Plata with its branches, Uruguay, Parana, and Paraguay. Mark the Andes, and name the different ranges and mountains. There is not to be a separate list with references, and no names are to be given except those asked.

2. Give reasons to prove that the earth is spherical. 3. Explain the theory of the tides.

4. Suppose that the Gulf Stream could be diverted through a broad canal into the Pacific Ocean, what results would follow ?

5. Why is the North Wind in Melbourne hot in summer and cold in winter?

6. What are the chief mountain ranges of India?

7. Write a short general account of the main geographical features of Scotland.

8. Write a geographical account of Queensland.

9. What is each of the following, and where is it:Alsace, Barrow in Furness, Connaught, Grenada,

Humber, Khiva, Ladoga, Nova Zembla, Tararua,
Theiss, Transvaal, Yokohama?

10. Write an account of the river Rhine, its chief affluents, and the more important towns upon it and them.

11. Write a description of any three of the following places:-Cairo, Constantinople, Gibraltar, Rome, Sydney.

12. Name the capitals of the following countries: Bavaria, Belgium, Denmark, Egypt, Jamaica, New Zealand, Portugal, Sweden, Switzerland, Tasmania, United States, Western Australia.

ELEMENTARY CHEMISTRY.

The Board of Examiners.

[N.B.-Candidates are instructed not to answer more than six questions.]

1. How may the following statements be proved?— (1) Water is a compound of eight parts, by weight, of oxygen, and one part, by weight, of hydrogen.

(2) Water is a compound of one volume of oxygen and two volumes of hydrogen.

What general laws are exemplified by these two special facts?

2. In one bottle a piece of charcoal is burned in oxygen, and in another bottle a piece of marble is dissolved in hydrochloric acid. How may it be proved that the gas produced in one of these experiments is identical with the gas produced in the other?

3. Chlorine is sometimes described as an oxidizing agent, a term also applied to nitric acid. Explain and exemplify the difference between the oxidizing actions of these two substances.

4. Explain what is meant by the word ammonium. 5. What general methods are there for preparing a salt from the corresponding acid? Give examples.

6. How may oxygen be tested for in a mixture of gases?

7. What is bleaching powder, and how is it made ?

8. How does each of the following elements behave when heated by itself?-Bromine, iodine, sulphur, carbon.

9. What is meant by water of crystallization? Give some examples.

10. What reasons have you for believing that the correct atomic weight of oxygen is 16, and not 8 ?

ELEMENTARY PHYSICS.

The Board of Examiners.

Candidates are requested to answer the questions on Dynamics, and on one but not more than one of the three subjects-Heat, Sound and Light, Electricity and Magnetism.

DYNAMICS.

1. Define the unit of mass and the unit of force.

If

the mass taken is not the unit, what force acting on it for a second will produce the unit velocity?

2. From a balloon at a height of two miles above the earth, and carried along in a current of air which is moving at a uniform rate, a stone is dropped. What is the path of the stone:-(1) relative to a person in the car of the balloon; (2) relative to the earth?

3. In an Attwood's machine, the weights at the ends of the string are each 150, and the pressure on the pulley is consequently 300. What would be the pressure if 50 were suddenly taken off one of the weights?

4. From a gun weighing 9 lbs., a bullet weighing 2 ounces is shot out with an initial velocity of 600 feet per second. Find the velocity of the recoil of the gun.

5. Two inelastic bodies of weights 6 and 9 are moving in the same straight line, but in opposite directions, with velocities of 8 and 6 respectively. Find their common velocity after collision.