4. If the square on one side of a triangle is equal to the sum of the squares on the other two sides, prove that the angle contained by these two sides is a right angle.

5. A quadrilateral ABCD is to be drawn such that the lengths. of AD, ÅB, DC', are 7 cm., 5 cm., and 23 cm. respectively, and the perpendiculars from B and C to AD are 4 cm. and 2 cm. in length respectively. How many quadrilaterals can be drawn to satisfy these conditions? Draw carefully such a quadrilateral, making BC as short as possible. Compute what the length of BC should be, and measure the length from your drawing.

6. Prove that an angle at the centre of a circle is double an angle at the circumference standing on the same arc.

7. A quadrilateral is inscribed in a circle. Show that the sum of the angles in the four segments exterior to the quadrilateral is equal to six right angles.

PHYSICS.

Time: two hours.

1. What is meant by error due to parallax? How is it to be avoided in practice?

If the correct height of a right cylinder be 12:4 cms., and the diameter of its base 4:3 cms., what error in volume will be caused by a mistake in the above measurements which makes each 1 mm. too large? Express this error as a percentage of the correct volume.

2. Explain the principle of Archimedes, and show how to determine by it the density of a solid.

The density of steel is greater than that of water.. How then is it that steel vessels float?

3. Describe the method of making a barometer.

Why is mercury generally used ?

What is the effect if the bore of the tube is not uniform? And what happens if the tube is tilted?

4. A hoop is made by joining together pieces of thin wire of brass, copper, and zinc, 3 metres, 42 metres, and 2 metres long

respectively, these lengths being measured at the temperature of melting ice. If the hoop is now heated to 600° Fahrenheit what is the radius of the cylinder round which the hoop exactly fits? Coeffs. of expansion per 1° Centigrade:

5. What errors may occur in determining temperature by an ordinary thermometer?

One grm. of oil is placed in a copper thimble, and the whole is brought to the boiling point of water. A thermometer correctly graduated and reading 15°C is now placed in the oil and registers a temperature 94°C. Determine the water equivalent of the thermometer.

The thimble weighs 5 grms

Sp. heat of copper = '092
Sp. heat of oil = 50

6. Describe carefully an accurate method of finding the specific heat of a liquid which cannot be mixed with water.

7. Upon what does the force of friction depend? Sketch a combination of at least three pulleys and explain how the friction of the system may be measured.

8. Explain the principle of the parallelogram of forces.

A child weighing 60 lbs. sits on a swing. A string is tied to the seat and is pulled horizontally with a force of 60 lbs. What is now the tension in each rope of the swing? and what is the slope of the ropes to the horizontal ?

INORGANIC CHEMISTRY.

Time: two hours.

1. State how you would prepare and collect some chlorine gas. Give a sketch of the apparatus you would employ and write an account of the properties of the gas.

2. How is strong nitric acid prepared? Write an account of its properties and describe its action on (a) tin, (b) copper, (c) hydrochloric acid.

3. Write a brief account of the preparation and purification of sulphur. In how many forms does this element exist and why is it said to be dimorphous ?

4. Water is said to be a good solvent. Explain this statement. What is meant by the term saturated solution? How would you prove that water dissolves air? Why do we often use solutions in studying the action of one substance on another?

5. Give a brief account of the atomic theory. meaning of the terms molecular weight and valence.

Explain the

6. How is ordinary phosphoric acid prepared and why is it called a tribasic acid? How many compounds can it form with potassium and what is the effect of heating it strongly ?

7. What is kelp and what important compounds does it contain? State what elements are prepared from it and compare their properties.

PHYSIOLOGY.

Time: two hours.

1. Why is it necessary that the blood should circulate in the body? How can you show that the blood does circulate?

2. Describe the sounds of the heart. What events in the heart give rise to these sounds? Have you ever listened to the heart's beat?

3. Explain why it is that when a man has run breathes rapidly and pants for breath.

a race he

What amount of carbonic acid is contained in inspired and expired air respectively? How would you demonstrate its presence?

4. Without describing the special work of particular organs,. state in general terms the objects served collectively by the various processes of digestion. In the above connection explain

why we, as a rule, use some method of cooking in the preparation of our food. What other advantages are gained by cooking

foods?

5. Explain why it is that some people are short-sighted. How may this defect be remedied? diagrams?

Illustrate your answers by

BOTANY.

Time: two hours.

1. Describe the production of roots when a pea and a grain of wheat germinate and grow.

2. Give examples of the different ways in which the lamina of a leaf may be divided, both in the pinnately and palmately

veined.

3. Define what is meant by an inflorescence, and also by the names terminal, axillary, racemose, and cymose, as applied to it. Give examples to illustrate your meaning.

4. What do you understand by the terms, an apocarpous and a syncarpous gynaecium? Take as illustrations the buttercup, wallflower, primrose, and pea.

5. The following names are applied to fruits: legume, siliqua, .capsule, achene. Give examples.

6. Why would you call a grain of wheat a fruit?

SENIOR EXAMINATION PAPERS,

NOVEMBER, 1905.

ENGLISH.

Time: two hours.

[Candidates must answer the questions of PART I in one book, and those of PART II in another. They should be careful to enter their examination number on the cover of both books, and to state the subject as ENGLISH PART I and as ENGLISH PART II.]

PART I.

1. Write an essay on Hamlet's estimate of his own character. 2. Paraphrase the following passages in order to show how minutely you understand the language:

For goodness, growing to a plurisy,

Dies in his own too much: that we would do,

We should do when we would; for this "would" changes,.

And hath abatements and delays as many

As there are tongues, are hands, are accidents;

And then this "should" is like a spendthrift sigh,

That hurts by easing.

3. Scan the first three lines in No. 2.

4. Compare the meaning of these words in the play with their meaning now: bravery, conceit, censure, generous, nerve,

unction.