5. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part together with the square on the other part.

NOTE.

Female candidates for Class I. will omit the 2nd and 4th of the foregoing questions and work the following instead:

6. If from a point without a circle a secant and a tangent be drawn to the circle, then the rectangle contained by the secant and its external part is equal to the square on the tangent.

1

7. If a circle be inscribed in a right angled triangle, the difference between the hypothenuse and the sum of the other sides is equal to the diameter of the circle. NOTE. When female candidates have worked this paper, they will receive, on application, the paper set for male candidates, and will receive credit for any work thereon, provided the work is in advance of Book IV.

2. Show that (x-1) (y+1)(x2+1) (y-1)-2 (a-y) (xy-1).

3. Show that the product of any two numbers is equal to one-quarter of the difference between the square of their sum and the square of their difference.

4. Find the factors of (a) 1+18-63.x (b) 3x2y — 24y2.

7. A and B have $100 between them; but if A should lose half of his and B one-third of his they would then have only $55 between them. How much has each!

8. A hare is pursued by a greyhound and is 60 of her own leaps ahead. The hare makes 3 leaps while the hound makes 2; but the hound goes as far in 3 leaps as the hare does in 7. In how many leaps will the hound catch the hare?

CLASS III.

SCHOOL SYSTEM.

III.

Time, 45 min.

1. Name the amounts the several classes of Teachers receive from the Provincial

Treasury.

2. State the manner in which the District assessment is levied.

3. The Annual Meeting? When is it held? How called? Name the principal business that can be done at it.

4. How do you find the "Grand total days attended by all the pupils" and "Per centage of enrolled pupils daily present on an average."

5. What is the Teacher's duty in respect to (a) Health of pupils. (b) Discipline. (c) Temperature. (d) Returns.

N. B. Any four questions to be considered a full paper.

III.

TEACHING AND SCHOOL MANAGEMENT.

Time, 2 hrs.

1. What apparatus is required for teaching number up to 10? Up to 100? How far are these appliances useful?

2. How would you teach the Tables of Weights and Measures? Illustrate in the case of Liquid Measure by giving a lesson plan.

3. What are the objects to be aimed at in teaching Reading to Grade IV.?

4. What are the benefits of teaching Singing in schools? How do you propose to do it, and to what extent ?

5. What is the value of Health lessons, and how will you endeavor to make them of practical use to your pupils ?

6. How do you propose to teach pupils their duties (a) to themselves, (b) to each other (c) to the teacher, (d) to the school?

7. Is it possible to have good order in a school without good discipline? What do you consider the best kind of order?

8. Select any one of the following faults and state fully how you would deal with it, viz. Communication in any form, Untruthfulness, Inattention, Tardiness, Disobedience, Impertinence.

9. How would you proceed to classify a school.

10. Write out a special time table for a day, and the accompanying programme for one

session before recess.

N. B.-4 and 5 are alternates.

III.

GEOGRAPHY.

PART I.

Time, 1 hr. 30 min.

1. What are the principal coast waters of England and Scotland?

2. Describe one of the three great river basins of North America. 3. Name the countries that border on the Pacific coast of America, with their capitals. 4. Briefly explain what causes dew.

PART II.

1. Draw from memory an outline map of the Province of New Brunswick, with the principal rivers and towns accurately marked.

CANADIAN HISTORY,

(As in Class 1.)

III.

ENGLISH HISTORY.

Time, 1 hr.

1. Give a brief account of the reigns of two of the following sovereigns: Alfred, Richard I, Henry V, Elizabeth.

2. Explain the part taken in early English history by the Danes or Northmen. By whom were they resisted and with what results?

3. What were the chief events in the reigns of the following kings: Alfred, William I, John, James I, Charles I.

4. Describe the characters of Richard III, Edward I, Henry V, Elizabeth, Cromwell. 5. Give a brief account of two of the following events: Battle of the Standard; battle of Poictiers; death of Becket; deposition of Edward II; imprisonment of Mary, Queen of Scots; Guy Fawkes plot; war of American independence.

6. When and how did the following places become dependencies of the British crown: Wales, Ireland, Scotland, India, Canada, Gibraltar.

7. Explain what is meant by the following: Feudalism, Crusader, Expulsion of the Jews, Magna Charta, Estates of the Realm, Hundred Years' War, the Commonwealth, Rye House Plot.

8. What portion of the reign of Richard I. was spent by him in England? How and by whom was England ruled in his absence?

NOTE. Five questions make a full paper.

III.

ARITHMETIC.

Show the Work.

Time, 1 hr. 30 min.

1. Make out a bill containing the following articles: 5 lbs. sugar at 93 cents per lb. 2 quarts of oil at 13 cts a gallon; 1 oz. of nutmegs at 32 cts. a lb. ; and half a peck of apples at $1.00 a bushel. Receipt bill.

2. What will be the cost of a pile of wood 14 feet long, 4 feet wide and 45 inches high at $3.25 a cord.

3. A boy having of a watermelon wished to divide his part equally among his sister his brother and himself. (a) How would he cut the melon? (b) How many pieces did each have? (c) What part of the whole melon was each piece? 4. (a) How much does a bookseller make on a $3.00 book that he buys at a discount of, and sells to you at a discount of 20 per cent? What per cent does he make on his investment? (b) If he buys the book at a discount of 40 per cent and

sells to you at a discount of what is his profit? What per cent?

5. From the milk of 20 cows, each giving 18 quarts daily, 16 cheeses of 50 lbs. each are made in 42 days. How many cows, giving but 16 quarts daily, will be needed to make 33 cheeses of 60 lbs. each, in 28 days?

6. In how many years will a principal of $5000 grow to be $8000 if on interest at 6 per cent, not compounded?

7. (a) Multiply four hundred thousand two hundred by thirty-six thousand. (b) Divide six hundred and six thousand, by one thousand. (c) 2.8÷.007 = ?, 100300.

III.

USEFUL KNOWLEDGE.

1. What is the cause of (a) day and night? (b) The seasons?

Time, 1 hr.

2. What are the principal forest trees of the province, and to what uses are they severally applied?

3. What can you say of the effects on the human system of alcoholic drinks?

4. Describe the Thermometer and its uses?

that he is? Let the book lay on the floor. Where was you yesterday? If he'd have done this, all would be well. Let he and I the battle try. After he done

2. Write a complex sentence in which laid and lain are used correctly.

3 Write a letter to the proper school officer, in answer to an advertisement for a teacher, or

Write a letter to a friend describing a trip by steamboat or railway. (Do not sign

2. Parse the words in italics in the preceding stanza.

3. Give the masculine or feminine form, as the case may be, of: Widow, witch, czar, duke, sultan, earl.

4. What is a verb? A transitive verb? An intransitive verb? Write out the pluperfect ind. act. of a transitive verb, and the present subj. of an intransitive verb.

5. Give the past tense and past participle of: Wear, swim, go, lie, sing, singe, slide drag.

6. Define the following, giving an example of each: Relative pronoun, preposition participle, conjunction.

III.

ENGLISH LITERATURE.

Time, 1 hr.

1. Name the authors of the following quotations, and also the poem from which each is