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Examination Papers.

GENERAL EXAMINATION OF TRAINING SCHOOLS.-CHRISTMAS 1855.

MALES.- First Year.

Instructions.-You are not permitted to answer more than one question in each section.

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SECT. I.-1. Describe the situation, and give a brief account of Dan, Samaria, Shechem, and Hebron.

2. Describe Jerusalem, and draw a plan of it.

3. Describe the river system of Syria, including Palestine.

SECT. II.-1. Write a short history of Moses.

2. Give an analysis of the Book of Genesis.

3. Write a history of David.

SECT. III.-1. Give an account of the Prophet Jeremiah, with the dates of the death of Josiah and of the last siege of Jerusalem.

2. Mention the [prophets who prophesied in the northern kingdom between its revolt and its captivity.

3. Write a short outline of the history of Israel, from Jeroboam I. to Hosea inclusive.

SECT. IV.-1. Describe the means which Solomon took to increase the wealth of his kingdom. 2. Describe the temple.

3. Enumerate the Jewish fasts and festivals, and mention the occasion of the institution of each, its typical meaning, and the manner of its observance,

SECT. V.-1. What do we know from the Bible of the Evangelist St. John?

2. In what respects does the Gospel of St. John differ in character from the other three?

3. Mention any apparent discrepancies between St. John and the other Evangelists, and show how they may be explained.

SECT. VI.-1. What miracles are recorded only by St. John, and what are common to him with the other Evangelists?

2. Describe the interview between our Lord and the woman of Samaria.

3. Give an account of our Lord's discourse to the people after the feeding of the five thousand, and of its effect.

SECT. VII.-Explain one of the following passages :

1. If I have told you earthly things and ye believe not, how shall ye believe if I tell you of heavenly things?

2. If he called them gods unto whom the word of God came, and the Scripture cannot be broken; say ye of him whom the Father hath sanctified and sent into the world, thou blasphemest, because I said, I am the Son of God?

3. And when he is come he will reprove the world of sin, of righteousness, and of judgment; of sin because they believe not on me; of righteousness because I go to the Father, and ye see me no more; of judgment because the prince of this world is judged.

SECT. VIII.-1. On what occasions does St. John mention that the Jews found fault with our Lord for not observing the Sabbath? and what answer did our Lord make to their objections?

2. Write out St. John's account of our Lord's trial before Pilate.

3. Mention any words which are used in a peculiar sense by St. John, and explain them.

CATECHISM, LITURGY, AND ECCLESIASTICAL HISTORY,

To the Council of Chalcedon.

SECT. I.-1. Write out my duty to my neighbour.

2. Point out under which commandment each of its precepts falls.

3. Give Scripture texts to illustrate these precepts.

SECT. II.-What books or chapters in the Bible specially illustrate-1. The Communion of Saints.

2. The Forgiveness of Sins. 3. The Resurrection of the Dead!

SECT. III.-1. What are the chief Christian fasts and festivals, and what does each commemorate?

2. On what principle are the Daily and Sunday Lessons arranged?

3. Write out the deprecations in the Litany, and comment upon them.

SECT. IV.-1. Give a list of the great ecclesiastical writers between the years 200 and 450 A.D.

2. Give an outline of the History of the Gnostic Heresy, and its teachers.

3. What controversies, either with heretics or within the Church, were peculiar to Western Christendom?

SECT. V. Write an account of-1. Origen. 2. Athanasius. 3. Augustine.

SECT. VI.-1. Give the history of the Nicene Creed.

2. Are there any traces in the first four centuries of the Papal power, such as existed in the Middle Ages?

3. What were the consequences, for good and for evil, of the conversion of Constantine?

ARITHMETIC.

SECT. I.-Show from first principles-1. How to calculate values by Practice. 2. How to divide one fraction by another. 3. How to reduce a circulating decimal to a vulgar fraction.

SECT. II.-1. Standard gold being coined at the rate of 31. 17s. 10 d. per oz., what is the smallest number of ozs. that can be coined into an exact number of sovereigns?

2. A watch, set accurately at 12 o'clock, indicates 10 minutes to 5 at 5 o'clock; what is the exact time when the watch indicates 5 o'clock?

3. If incomes above 150l. pay 7d. in the pound, and incomes below 150l. pay 5d., what income above 1507. is practically equivalent to 1497. 19s. 113d.?

SECT. III.-1. If a job can be finished in 45 days by 35 men, and if the men drop off by 7 at a time at the end of every 15 days, how long will it be before the job is finished?

2. The weekly receipts of a railway company are 48007. 15s. 6d. The expenses of working are 13,3031. 7s. 2d. per calendar month. Their capital is 2,000,000l. What dividend per cent can they pay? 3. A person invests 48007. in the four per cents at 80, and at the end of each year invests the dividend which becomes due in the same stock at the same price. Find his dividend at the end of the third year.

SECT. IV.-1. A tax of 5307. is to be raised from 3 towns, the number of inhabitants of which are respectively 2500, 3000, and 4200. How much should each town pay, and each person in it?

2. A person purchases a hundred shares in a company for 3500/.; after having received four halfyearly dividends of 15s. 4d., 20s. 10d., 30s. 4d., 38s. 9d. a share, he sells at a profit of 431. per cent. Reckoning the interest of money at 4 per cent per annum, how much has he gained above that interest on the transaction?

3. A and B can finish a piece of work in 1 days; A and C in 2 days; B and C in 3 days. If 6s. is paid for the piece of work, what are a day's wages for each workman?

SECT. V.-Work the questions in this section decimally, and state the result in decimal coinage. 1. A bankrupt owes me 3607. 16s., and pays 13s. 4d. in the pound; what shall I receive?

2. A grocer buys 567 cwt. of sugar at 17. 19s. 103d. per cwt., and mixes it with 1161 cwt. at 27. 28. 63d. ; at what price per lb. must he sell the mixture to realise a profit of 12 per cent?

3. What is the difference between the present value of 7501. due 9 months hence at 5 per cent per annum, and 7207. due 2 months hence at 3 per cent per annum?

SECT. VI.-1. How much will the turfing of a round plot cost at 4d. per square yard, if the diameter be 180 feet and a circular fountain 18 feet in diameter be left in the middle?

2. A ship's hold is 102 feet long, 40 feet broad, and 5 feet deep; how many bales can be stowed into it, each 3 feet 6 inches long, 2 feet 3 inches broad, and 2 feet 6 inches deep, leaving a gangway

of 4 feet broad?

3. What is the expense of tiling a house at 25s. per square of 100 feet, the length of the house being 50 feet, the breadth 50 feet; the girt over being the breadth of the house, and the eaves, which project 1 foot on each side, being reckoned into the work?

GEOGRAPHY.

SECT. I.-Describe (in words) the coast of-1. Spain. 2. Italy. 3. Scotland.

SECT. II.-Describe (in words) one of the following coast-lines: 1. The west coast of America, 2. The coast of Asia from Behring's Straits to the mouth of the Ganges. 3. The coast of Europe from Brest to Constantinople.

SECT. III. - Describe (in words) the mountain and river systems of-1. Russia. 2. France. 3. Ireland.

SECT. IV. 1. Mention the chief lakes in Europe, and the rivers which feed and empty them.

2. Trace the line which separates the waters which flow westward in England from those which flow eastward.

3. Give a precise account of the Swiss territory.

SECT. V. Draw an outline map of France.

SECT. VI.-Draw an outline map of the Mediterranean Sea, including the Archipelago.

ENGLISH HISTORY.

SECT. I.-1. Give an account of the life and reign of Alfred; or 2. The government of England by the Danes; or 3. The Saxon laws and constitution.

SECT. II-1. Give a list of the English sovereigns from the Conquest, with the title of each to the throne.

2. Macaulay says-"During the hundred and sixty years which preceded the Union of the Roses nine kings reigned in England. Six of these nine kings were deposed. Five lost their lives as well as their crowns." Verify this statement in detail.

3. To what circumstances must we ascribe the difference between the history of the English parliament and that of the similar institutions on the Continent?

SECT. III.-1. Give the dates, occasions, and consequence of the battles of Evesham, Tewkesbury, and Worcester.

2. Give an account of the war of Edward III. with France.

3. Give an account of the war between Charles I. and his parliament.

SECT. IV.-1. What were the grounds of dispute between Anselm and William Rufus, and between Thomas à Becket and Henry II.; and how was each dispute finally settled?

2. Sketch the changes of religion in this country during the sixteenth century.

3. What were the leading provisions of the Toleration Act in the reign of William III., and by what subsequent measures have the same principles been extended in their operation?

SECT. V.-1. What were the most important provisions of Magna Charta? How was this great guarantee for liberty obtained?

2. Mention instances in which English sovereigns have endeavoured to raise money without consent of parliament.

3. Compare together Magna Charta, the Petition of Rights, the Habeas Corpus Act, and the Bill of Rights, and show how they supplement each other.

SECT. VI.-1. Give the dates and the occasions when the English obtained possession of Jamaica, Canada, Van Dieman's Land, and Gibraltar.

2. Give a brief account of the American War of Independence.

3. Give the outline of the growth of the present British Colonial Empire.

ENGLISH GRAMMAR.

Every candidate is required to write out the paraphrase, and do the parsing. Besides this, he is to choose one question in each of the other sections.

Paraphrase the following passage:

The doctrine of hereditary right does by no means imply an indefeasible right to the throne. No man will, I think, assert this that has considered our laws, constitution, and history without prejudice, and with any degree of attention. It is unquestionably in the breast of the supreme legislative authority of this kingdom, the king and both houses of parliament, to defeat this hereditary right, and by particulars, entails, limitations, and provisions, to exclude the immediate heir, and vest the inheritance in any one else. This is strictly consonant to our laws and constitution, as may be gathered from the expression so frequently used in our statute book, of "the king's majesty, his heirs and successors." In which we may observe, that as the word "heirs" necessarily implies an inheritance, or hereditary right, generally subsisting in the royal person; so the word "successors," distinctly taken, must imply that this inheritance may sometimes be broken through; or that there may be a successor without being the heir of the king.

SECT. I.--Parse the following sentence:

This is strictly consonant to our laws and constitution, as may be gathered from the expression, so frequently used in our statute book, of "the king's majesty, his heirs and successors.'

SECT. II. No man will. . . . any degree of attention.

1. What part of speech is that?' In what other ways may the same word be used? (Give examples.) When may the relative be omitted in English?

2. What part of the verb are 'assert' and 'considered,' if taken alone? What parts of every verb are incapable of making a complete assertion? And to what other parts of speech are they most nearly equivalent? (Prove the point by examples.)

3. Analyse the above section into its component parts, and show their relation to each other. SECT. III.-In which we may observe. . . . heir of the king.

1. What is the antecedent to which?' What do subsisting' and 'taken' agree with? What parts of speech are 'through' and 'being? In what case are heirs' and 'heir' respectively, and why?

2. Point out all the conjunctions in the above sentence, and show which words or clauses they couple. Point out, likewise, all the adverbs, and show what words they qualify.

3. Parcel out the above passage into simple sentences, and show how they stand connected grammatically with each other.

SECT. IV.-1. In the whole passage given to paraphrase, point out all the prefixes or affixes, or both; and show what each of them signifies.

2. Give the roots of as many of the following words as you are able, with their literal meanings: 'Doctrine,'' hereditary,' 'indefeasible,' imply,' 'constitution,' 'prejudice,' 'degree,' attention,' 'unquestionably,' 'supreme,' 'parliament,' 'particular,' 'limitations," provisions,' 'exclude,' 'consonant,' 'expression,' 'successors.'

EUCLID.

SECT. I.-1. The angles at the base of an isosceles triangle are equal, and if the equal sides be produced, the angles at the other side of the base are equal.

2. Parallelograms upon the same base and between the same parallels are equal.

3. To a given straight line to apply a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.

SECT. II.-1. If a straight line be divided into any two parts, the square of the whole line shall be equal to the sum of the squares of the parts, together with twice the rectangle contained by the parts. 2. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part.

3. Divide a straight line so that the rectangle contained by the whole line and one part shall be equal to the square of the other part.

SECT. III.-1. Equal straight lines in a circle are equally distant from the centre, and conversely those which are equally distant from the centre are equal.

2. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two right angles.

3. If two lines intersect each other either within or without a circle, and also intersect the circle, the rectangle contained by the distances from the point of intersection of the two lines to the points where one of those lines intersects the circle, shall be equal to the rectangle contained by the distances from the point of intersection of the two lines to the points where the other line intersects the circle. SECT. IV.-1. Describe a circle about a given triangle.

2. To describe a square about a given circle.

3. Describe a regular quindecagon in a given circle.

ALGEBRA.

SECT. I.-1. Add 2a+b+c, 3a-(b−c), 6c+a-b, and b-(6a+8c).

2. Multiply 3a2+2ax-x2 by a2-2ax+3x2.

3. Divide a3-x3 by ał−x3.

SECT. II.-1. Divide x4+y4-x4+2x2y2-2x2-1 by x2+y2-22-1.

2. Find the greatest common measure of 6x1-25a2x2-9a1 and 3x3-15ax2+a2x-5a3. 3. Reduce to lowest terms

4a3cx-4a3dx +24a2bcx-24a2bdx+36ab2cx-36ab2dx

7abcx3-7abdx3+7ac2x3-7acdx3+2162cx3+21bc2x3-21b2dx3-21bcdx3

SECT. III.-1. Extract the square root of 1+2x+7x2+6x3+9x1.

2. Reduce to simplest form 128-2/50+ √72-√18.

3. Extract the square roots of 8√3−6 √/5; of 3 √/3+2 √6; of √18+2; of 6+ √8 −√12— √24. SECT. IV.-Solve the equations:

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SECT. V.1. Find the fraction which, if one be added to its numerator, becomes, and, if one be added to its denominator, becomes 4.

2. Find a number of two digits, to which if the number formed by reversing the digits be added, the sum will be 121, and if subtracted the remainder will be 9.

3. A and B lay out equal sums in trade. A gains 1007., and B loses so much that his money is now only of A's. But if each gave the other of his present sum, B's loss would be diminished by. What had each at first?

SECT. VI.-1. A farmer bought some sheep for 721., and found that if he had received six more for the same money he would have paid 17. less for each. How many did he buy?

2. A brigade is marching in column with 5 men more in depth than in front; but on the enemy coming in sight they form 5 deep, and so increase the front by 845 men. How many men were in the brigade?

3. Two trains start at the same time to run 1200 miles, but one runs 10 miles an hour faster than the other, and consequently arrives 10 hours sooner. What was the speed of each?

SCHOOL-MANAGEMENT.

Write the first line of your answer as a specimen of copy-setting in large hand; and the first line in your second answer as a specimen of copy-setting in small hand.

SECT. I.-Describe one of the following methods of teaching to read, and point out its advantages and disadvantages-1. The alphabetic method. 2. The phonic method. 3. The look-and-say method. SECT. II.-1. Describe Malhaüser's method of teaching to write.

2. Describe the method proposed by Locke, and point out its advantages and disadvantages.

3. Compare the two methods, and explain which you would use with a child that fell behind the class in penmanship.

SECT. III.-1. What general rules can be traced in the pronunciation of the English vowels?

2. Explain the system on which the English alphabet has been framed, giving the reasons for the names of each letter.

3. Describe a series of dictation-lessons, graduated so as to illustrate the difficulties of English spelling.

SECT. IV. Describe the best method of teaching-1. Notation, or 2. Subtraction, or 3. Division.

MUSIC.

1. The questions in Division II. are not to be attempted by any Candidate of the First Year who has not answered one question in each of the preceding Sections. No such candidate may answer more than two of the questions in Division II.

2. Candidates of the Second Year, and Teachers in charge of Schools, may not answer more than six questions, but may choose them from any part of the paper.

Division I.

SECT. I.-1. What is meant by Common, Triple, and Compound Time, and what by Accent?

2. Describe what is meant by the Diatonic, and what by the Chromatic Scale

3. What is transposition? What are its advantages in vocal music, and how does it render necessary the use of sharps and flats?

SECT. II.-1. What is meant by a unison, an interval, a sharp, a flat, a dotted note, and a bar? 2. Explain the meaning of the terms tonic, dominant, sub-dominant, and leading note of the scale? 3. What are the terms employed to designate the various registers or pitches of the human voice? SECT. III.-1. Give the position of the semitones in the major and minor scales ascending and descending, and state what accidentals are employed in the ascending minor scale.

2. What is the inversion of an interval? Give the figuring of the inversions of the common chord and of the chord of the dominant seventh.

3. Modulation is a change of key: explain what is meant by natural or relative, gradual, and abrupt modulation.

Division II.

1. (A) Write a bar of common time—(1) in minims; (2) in crotchets and quavers; (3) in crotchets and semiquavers.

(B) Also a bar of triple time with one minim and one crotchet, prefixing the proper signature.

(C) Fill both bars with triplets.

2. In every scale we have six common chords: how many of these are major, and how many minor, and where do they respectively fall? In the key of C, what notes form the imperfect fifth? 3. Transpose the following chant into the key of G (sol).

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4. Show by a diagram the full vocal scale, or all the natural notes of the human voice, and mark therein the treble, bass, and intermediate registers distinctly by their appropriate clefs. 5. Complete the following synopses of keys in the major and minor modes.

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