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1. Write as concisely as possible the sum of:
ax+by+cz; bx+cy+az; and cx+ay+bz.

2. (a) Find the product of (a+b)(a—b).

(b) State in words what you have discovered.

(c) Show the correctness of your result by a particular example. (d) Use your result to find the continued product of

(a—b) (a+b) (a2+b2) (a1+b1) etc., to six factors.

(e) Use the principal involved in (a) to find the factors of (a2+b2-c2-d2

1

2(ab+cd)

12.

3. (a) Divide a3+b3+c3+3abc by a+b+c.

(b) Use the result of the division in (a) to prove that if the sum of three numbers be zero then the sum of their cubes will be equal to three times their product.

4. (a) Distinguish Factor and Multiple.

(b) In what sense is "Highest" used in the expression "Highest Common Factor"?

(c) Write the H.C.F. and L.C.M. of a5bc4; a3b3c5; and a1b2c3. (d) Find the H.C.F. and L.C.M. of 6x+x3-x and 4x3-6x2 -4x+3.

5. (a) Distinguish between an Algebraic fraction and an Arithmetical fraction, pointing out wherein they coincide and wherein they differ.

(b) Prove that the value of a fraction is not altered by multiplying its numerator and denominator by the same number.

(c) Simplify:

a3_b3-3ab (a—b)

m3 + n3

6. (a) Distinguish an equation of identity and an equation of condition.

(b) Write the four axioms which guide you in the solution of an equation of condition.

(c) Solve:

(b) Use the principle in (a) in the solution of:

8. (a) A crew who can row 9 miles an hour finds it takes twice as long to go up a stream as to go down the same distance. Find the rate of the stream.

(b) For $21 one can purchase 32 lbs. of tea and 15 lbs. of coffee, or 36 lbs. of tea and 9 lbs. of coffee. Find the price of a pound of tea. Give an Arithmetical and an Algebraical solution. Discuss the inerits of each.

9. (a) In the solution of a quadratic equation why is the double sign placed only before the right hand member of the result?

(b) Form a quadratic equation in which the unknown will have the value 2 and -5.

(c) What inference can be drawn regarding the value of each factor of the equation you have found?

10. A farmer purchased some land for $480. He retained 20 acres and sold the balance at an advance of $2 an acre and thus obtained his outlay. Find the number of acres purchased.

Physical Science.

Time-Two and one-half hours.

1. (a) Define energy and state its various forms.

(b) "This list comprises forms of energy, not different energies, for the reason that they are one and all interconvertible."

Using heat as a basis show the truth of the above statement.

2. (a) State the law of gravitation.

(b) Where must a body be located with reference to the earth to have (1) the least weight, (2) the greatest weight? Give reasons for

your answer.

3. (a) Distinguish the three states of matter.

(b) Outline the molecular theory of the constitution of matter and show how this theory offers an explanation of the states in which matter exists.

4. (a) Explain the process of osmosis and dialysis of liquids.
(b) Explain how the gases may be diffused and absorbed.
(c) State the importance to life of the diffusion of gases.

5. (a) Buoyancy is defined as the resultant pressure of a fluid upon a body immersed in it.

What then are the component forces producing this resultant?

(b) Draw a diagram of a body floating in a fluid and clearly show the origin of "the buoyant force" exercised.

6. (a) Define specific gravity. Show its usefulness.

(b) A body which weighs 20 grams in air has a sinker attached to it and the two together weigh 10 grams in water. The sinker alone weighs 30 grams in water. What is the specific gravity of the body?

7. (a) Define heat and give its sources.

(b) Show fully the effect of heat upon water.

8. (a) Give experiments to illustrate what is meant by latent heat, and capacity for heat of a substance.

water.

(b) Define the unit of heat measurement.

(c) State the latent heat of fusion of ice and vaporisation of

(d) Account for the enormous power of steam.

9. (a) Explain clearly the construction of either the Fahrenheit thermometer or the simple barometer.

(b) Compare the above instruments as to length, scaling, necessity for uniformity of bore and uses.

Agriculture and Botany.

Time-Two and one-half hours.

PART I.

1. (a) Explain the terms: soil, subsoil, weathering, humus and tillage.

(b) Which should produce a better crop,-a fine and compact soil or one that is loose and cloddy? Why?

(c) What are the benefits of drainage?

2. (a) Over what conditions of wheat sprouting has the farmer control? Illustrate.

(b) In what ways are the conditions of germination fulfilled by the grower of wheat?

3. (a) What are the main objections to weeds?

(b) State the chief preventives and means of eradication?

4. (a) Name two diseases most common to plants in Saskatchewan and describe the nature of each.

eases.

(b) State the means adopted to prevent either one of these dis

5. Show the value in mixed farming of each of the domestic animals commonly reared in Saskatchewan.

6. (a) What are the conditions favourable and unfavourable for the growing of large and small fruits respectively in Saskatchewan?

(b) By what means have the unfavourable conditions to a large measure been overcome in the case of apples and plums?

PART II.

7. (a) Describe the seed of any one of the follownig plants: pea, squash, ash-leaved maple.

(b) What are the functions of its various parts?

8. (a) Describe the appearance of a wheat leaf giving reasons for its shape.

(b) What are the various functions of leaves?

9. (a) What is the purpose of a flower and what organs are necessary for this purpose?

(b) What other organs are sometimes present and state their use?

10. (a) What is the basis of classification of plants into societies? (b) Name and give the general characteristics of each of the three most important societies with an example of each.

11. (a) What are the various ways plants have of propagating themselves and of disseminating their seeds?

(b) In a prairie country which of the various ways of propagation and dissemination are most commonly met with?

Give reasons for your answer.

12. (a) State the characteristics of the Leguminosae family.

(b) Show the important part played by Leguminosae plants in farming.

Time-Three hours.

1.

STANDARD VII.

English Literature.

The frost that stings like fire upon my cheek,
The loneliness of this forsaken ground,
The long white drift upon whose powdered peak
I sit in the great silence as one bound;
The rippled sheet of snow where the wind blew
Across the open fields for miles ahead;
The far-off city towered and roofed in blue
A tender line upon the western red;
The stars that singly, then in flocks appear,
Like jets of silver from the violet dome,
So wonderful, so many and so near,

And then the golden moon to light me home-
The crunching snowshoes and the stinging air,
And silence, frost, and beauty everywhere.

) Show clearly how this poem conforms to sonnet structure.

(b) State the main characteristics of the sonnet.

(c) To what class of poetry is the sonnet most suited?

(d) Comment upon the author's use of colour words and show the fitness of each.

(e) How in the sonnet does the writer justify the last line?
(f) Explain the italicised words.

2.

"O mother, hear me yet before I die.
They came, they cut away my tallest pines,
My tall dark pines, that plumed the craggy ledge
High over the blue gorge, and all between
The snowy peak and snow-white cataract
Foster'd the callow eaglet-from beneath.

Whose thick mysterious boughs in the dark morn
The panther's roar came muffled, while I sat
Low in the valley. Never, never more
Shall lone Enone see the morning mist

Sweep thro' them; never see them over-laid

With narrow moon-lit slips of silver cloud,

Between the loud stream and the trembling stars"?

(a) Explain the different devices here used to intensify the impres

sion of the loneliness of Enone.

(b) Indicate the picture scheme of the author.

(c) Briefly give the meaning of the last three lines.

(d) Show the force of the italicised words.