6. Define ratio and proportion, and prove that, if a:b::c:d,

then ma nb: ma:: mc

7. A, B, C are employed on a piece of work. After 3 days A is discharged, one-third of the work being done. After 4 days more B is discharged, another third of the work being done. C then finishes the work in 5 days. Find in how many days each could separately do the work.

8. Solve:

5x6y+4= 15; 7 x + 4y - 3z 19, 2x + y + 6z = 46.

(c)

9. A heavy right-cone rests with its base on a fixed rough sphere of given radius, determine the greatest height of the cone compatible with stability.

10. If a power P balance a weight W in a combination of n movable pulleys, each of weight w, show that:

W = (P + w) { 2′′+1 − 1 } − (n + 1) w.

11. From a point on an inclined plane two particles are projected with the same velocity, in the same vertical plane, in directions at right angles to each other; show that the difference of their ranges is constant.

12. If the resistance to the motion of a train on a level line be 12 lbs. per ton of its weight, and if a train weighing 120 tons, and running on a horizontal line at the rate of 40 miles an hour be brought to rest in a quarter of a mile by the application of a break to each wheel of a break-van weighing 10 tons, the break entirely preventing the rotation of the wheels, find the coefficient of friction between the wheels and the rails.

Chemistry.

Junior.

1. Explain fully what is meant by the following:

2 KHO + H2SO4 = 2 H2O + K2 SO4.

-2

2. What do you understand by the terms acid, base, salt? Illustrate your answer by examples.

3. Three glass vessels A, B, C, are given you, filled with colourless gases, viz. nitrous oxide, carbon dioxide, and oxygen. How would you determine the nature of the gas in A, B, C, respectively?

4. Give, and explain, the methods of preparing:

Hydrochloric acid.
Sulphuric acid.
Phosphorus.

Write a short account of the chemical properties of these three substances.

5. How many pounds of black oxide of manganese are required to give, by the action of hydrochloric acid, 112 lbs. chlorine?

6. Define the following: water of crystallisation, dialysis, equivalent, atom, molecule, giving examples in each case.

7. Describe the experiments you would perform with the view of determining the nature of a white substance (BaCl2) given you for analysis: and explain your results.

8. What are the different ores of iron, and whence are they obtained? Distinguish pig-iron from wrought-iron and steel.

Chemistry.

Senior and Women (Pass).

1. Explain the terms, molecule and atom, and briefly show how Dalton deduced from experiment his atomic theory.

2. What is allotropy? Give as many examples as you can of allotropes, and describe the preparation and properties of some one of them.

3. How would you proceed to demonstrate the nature of the constituents of the air, and to prove that it is a mixture and not a chemical compound of these constituents?

4. What reactions take place when :

(a) Calcic fluoride is gently heated with sulphuric acid; (b) Solutions of silver nitrate and sodium arseniate are mixed together;

(c) Potassium chlorate is heated alone?

5. Describe the method of preparation and properties of any one metal. Distinguish a metal from a non-metal.

6. What is fractional crystallisation? Describe an illustrative example.

7. Write a short essay on the conditions of chemical change.

Natural Science.

ANIMAL PHYSIOLOGY.

Senior and Women (Pass).

Questions 5 and 6 to be attempted by women only.

1. Describe the appearances presented by a drop of blood when examined microscopically:

case.

(a) Immediately after shedding.

(b) After the lapse of some time.

Account as far as you can for the phenomena in the latter

2. Briefly describe the changes which proteid food undergoes in digestion.

3. What would be the effects of feeding a dog:

(a) Entirely on meat;

(b) Entirely on fatty and starchy food;

(c) On a mixture of proteid, fat, and starch?

4. Show, by examples, that "function" depends closely upon "structure."

5. What do you understand by the term protoplasm? Give, as fully as you can, an account of its properties, and briefly indicate how these have been so far experimentally determined.

6. Describe the minute structure of the liver.

7. What is the pulse? Explain fully its causation.

Natural Science.

VEGETABLE PHYSIOLOGY.

Senior and Women (Pass).

Questions 5 and 6 to be attempted by women only.

1. Describe fully the structure of a typical vegetable cell. Do you consider that it can or cannot be regarded as performing any special function? Give reasons for your opinion.

2. The green part of a plant is inclosed in a known volume of air and exposed to sunlight.

Describe and explain the changes which take place in the composition of the air.

3. What is a fruit?

Enumerate and classify the different

kinds of fruits, and distinguish between a fruit and a seed.

4. Describe fully any flower you can obtain (giving name), and refer it to its proper class and order in the Natural System, giving your reasons for so doing.

5. Write the life-history of an Equisetum. What parts in an ordinary flowering plant correspond to the sporangiferous scales? What to the sporangia ?

6. Discuss the meaning of the terms leaf and stem, giving illustrative examples.

7. What are lenticels? How are they formed?