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4. Describe a coasting voyage from Southampton by way of Lisbon to Constantinople, taking in cargo at six of the principal ports on the northern shore of the Mediterranean Sea.

5. Enumerate the chief productions of Trinidad, Victoria, and Ceylon, and give the dates at which these possessions were severally annexed to the dominions of England.

6. Describe the positions of Cyprus, St. Helena, Borneo, Barbadoes, and Vancouver's Island; and give a full description of one of these islands.

7. Name the mountains in which the Rhine, Volga, Mississippi, Amazon, Indus, Lena and Niger rise, the seas into which they flow, and a few of the principal cities on the banks of the four first-named rivers.

HISTORY.

8. Arrange in chronological order and give the dates of the following events the accession of George III., of Edward I., and of James I.; the battles of Culloden, La Hogue, and the Standard; the passing of the Act of Uniformity, the Septennial Act and the Habeas Corpus Act; the deaths of Nelson, Wallace, Mary Queen of Scots,

and Pitt.

9. Give a brief account of the conquest of Britain by the Romans; and name any distinguished Romans who died in this country.

10. Enumerate, with dates, the chief events of the reign of Henry III., and give a brief sketch of that monarch's character as illustrated by the events of his reign.

11. Write a short life of one of the kings who reigned in Scotland during the 16th century, and explain the claim of the House of Stewart to the throne of Scotland.

12. Name the principal English Statesmen in the reigns of Henry VIII., and Elizabeth, and write a brief life of one of them.

13. Enumerate the chief events of the years 1688-89, and state briefly the principal constitutional changes which resulted in England.

14. Give some account of the causes of the War of American Independence, and mention in order the chief incidents of that war.

15. Name Sovereigns of France and Spain who were contemwith Elizabeth, Charles II., and George III., and give a brief account of the foreign policy of Charles II.

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SCHOOL MANAGEMENT.

THREE hours allowed for this Paper with that on MUSIC.

All Candidates must answer question 1, and may not answer more than eight other questions.

1. Write full notes of a lesson on one of the following subjects(1.) Leather.

(2.) Mountains.
(3.) Joan of Arc.

(4.) A Railway.

2. Name, in progressive order of teaching, the apparatus required for lessons in Geography, and show how you would give a conception of scale and proportion in map drawing to young

children.

3. State the chief points to be noticed in giving a lesson on "a River," with the order in which each point should be introduced to the class. Illustrate your answers by some English or Scotch river.

4. What plan would you follow in giving a description of some famous battle? Illustrate your answer by the battle of Flodden or Waterloo.

5. Write out brief heads of a first lesson in "Simple Subtraction" with a series of progressive examples.

6. Write out two or three problems in mental arithmetic requiring the application of three at least of the compound rules.

7. Make and explain diagrams to illustrate the following:

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8. Explain fully the principles of Mulhauser's method of teaching writing; and write the word "trustfulness" according to that method.

9. Detail some of the advantages and disadvantages of teaching reading by the Alphabetic method.

10. Define "a sentence" in grammar; and illustrate your definition by original examples of simple, complex, and compound sentences relating to events in English History.

11. Give short explanations suitable for children of the words italicised in the following passages :—

"No thought was there of distant flight;
Linked in the serried phalanx tight;

Groom fought like noble, squire like knight."

As day declines, nature recovers from this languor and exhaustion; the insects again flutter across the open glades and the larger animals saunter away from under cover in the direction of the ponds and pastures.

12. Give examples of Kindergarten Exercises that may be used to stimulate invention and imitation in young children.

13. Point out some of the uses of object lessons in infant schools, and illustrate your answers by short notes of a lesson on "the Whale" or on “Iron."

14. Show that by the aid of a black board or other apparatus plain darning may be taught simultaneously to a large class.

ARITHMETIC.

Male Candidates only.

Candidates may answer all the questions.

The solution must be given at such length as to be intelligible to the Examiner, otherwise the answer will be considered of no value.

[This direction was repeated in the Arithmetic paper for Female Candidates (p. 9), and in the paper on Algebra (p. 14).]

1. Add together the products of each pair of the numbers 150, 225, 375, and find the difference between this sum and the product of all three numbers.

2. Divide 16 acres 3 roods 2 poles among four brothers, giving the eldest brother half as much again as each of the others, and find the value of the eldest brother's share at a guinea for each pole.

3. Find, by practice, the value of 17 lbs. 11 ozs. 16 dwts. 9 grs. of gold at £3. 12s. 8d. per oz.

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of 1d., and reduce the difference to the fraction of

4s. 54d.

5. Express as decimal of a pound of 51 of 3s. 9d., and find the value of that decimal of a yard.

6. Write out clearly and concisely the rules for

(a.) Finding the G. C. M. of two numbers;

(b.) Finding mentally the product of 1616 by 625;
(c.) Subtraction of vulgar fractions.

7. If the larger wheel of a bicycle whose circumference is 8 yards, 0 feet, 5 inches, make 200 more revolutions thau that of another bicycle in travelling 5 miles, find the circumference of the latter wheel.

8. 320 men begin a piece of work; it is completed in 6 days of 10 hours each, but on each day only half of those employed on the previous day are at work; in what time would 105 men working 6 hours a day have completed it?

9. Find the present value of £1,363 due five years hence at 3 per cent. per annum simple interest.

10. A sum of £8505. invested in the Three per Cents. produces an income of £252.; what is the price of the stock?

11. Extract the square root of 892143 of 124 square feet.

12. 800 yards of cloth are bought at 10s. 6d. per yard; half is sold for 10s. per yard, a fifth for 11s.; at what price must the remainder be sold to obtain a gain of 5 per cent. on the whole ?

ARITHMETIC.

Female Candidates only.

SECTION I.

1. The first of 4 parcels of money contained two hundred and six pounds, and twopence; the second fifty sovereigns, seventeen half-sovereigns, and nine halfpence; the third twenty-seven half-guineas, and eightpence; the fourth nineteen half-sovereigns, and three half-crowns. tribute the amount equally among 29 societies.

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2. One room contains 18 sq. yds., 3 sq. ft., 19 in.; a second, 42 sq. yds., 8 ft., 11 in.; a third, 29 sq. yds., 5 ft., 100 in. What must be added or subtracted in each case to make the rooms of the average size?

SECTION II.

1. A silversmith made a certain number of teaspoons weighing 26 lbs. 10 oz. 13 dwts., and a certain number of tablespoons weighing 38 lbs. 10 oz. 11 dwts. 18 grs.; find the cost of all the spoons at £3 17s. 11d. per oz.

State the different methods employed in subtraction, and give your reasons for preferring one of them to another.

2. A farmer rents a farm of 400 acres on the following terms :He pays as rent 100 qrs. of wheat, 75 qrs. of barley, and 60 qrs. of cats, the price of wheat, barley, and oats, being respectively 49s. 6d., 30s. 8d., and 19s. 2d. per quarter. Give his average rent per acre in £ s. d.

SECTION III.

1. Make out the following bill:-5 tons of coals at 15s. 6d. per ton, carriage of same at 2s. 6d. per ton-2 trucks of gravel (ie., 11 tons) at 5s. per ton, carriage of same at 2s. 6d. per ton.

What are the two different kinds of practice called? Which kind is mostly used in bills of parcels? Give reasons for your answer.

2. Find the change out of a £10 note after paying the following bill:-12 yds. of flannel at 1s. 6d. per yard, 37 yds. of calico at Is. Od. per yd., 21 yds. of muslin at 2s. 4 d. per yd., 18 yds. of linen at 2s. 6d. per yd.

What is a Bill of Parcels? What else is it sometimes called? What rules of mental arithmetic can be applied in finding the amounts of the items?

SECTION IV.

1. Find by practice the rent of 311 acres 2 roods 26 perches at 5s. 8d. per rood.

What rule does practice depend upon? And how is that rule simplified by it?

2. A bankrupt can pay only 12s. 6d. in the pound, and his debts amount to £1537 3s. 4d.; what is his estate worth? How much will be paid on a debt of £276 11s. 6d. ? What is meant by an "aliquot" part?

SECTION V.

1. The planting of a rood of ground cost £28 8s. 4d.: what was paid for planting 23 acres, 3 roods, 24 perches, and 11 sq. yds.?

Explain and define measure, factor, multiple, sub-multiple.

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