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MENSURATION.

SECTION IX. 1. A map is drawn on a scale of in. to the square mile, and is 6 feet 5 inches long and 3 feet 6 inches broad: find the area of a map drawn on a slate which is 15 inches long and 6 inches broad on the largest scale which the slate will permit; find also the scale on. which it is drawn.

2. What rent should be paid for a triangular field whose sides are 175, 220, and 375 yards, at £6 12s. per acre?

ARITHMETIC.
Females.

THREE HOURS allowed for this paper.

Candidates are not permitted to answer more than one question in each Section.

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

SECTION I. Add together seven millions seventy-six thousands and sixty-seven; three hundred and nine thousands nine hundred and thirty-nine; thirteen millions thirty-one thousands seven hundred and thirteen; two hundred and ninety thousands nine hundred and nine; eighty-four thousands four hundred and fortyeight. Subtract seventy-one thousands and sixty-one from the above sum, and divide the remainder by three hundred and seventy-three.

SECTION II. A landowner left by will a farm-in extent one square mile-to be divided into equal portions for his five children and eight grandchildren. Each child was to receive a double portion and each grandchild a single portion. What extent of land did each child and each grandchild receive? Prove your

answer.

SECTION III. Work out the following bill of parcels:

37 yards of Holland at 74d. per yard.

29 pairs of stockings at 1s. 24d. per pair.
35 yards of calico at 54d. per yard.

17 straw bonnets at 93d. each.

210 yards of ribbon at 2s. 9d. per dozen yards.
15 yards of silk at 3s. 1d. per yard.

K

SECTION IV. Find, by Practice, the value of three trucks of coal, each containing 7 tons 13 cwt. 2 qrs., at 138. 4d. per ton; and prove your sum.

SECTION V. 1. How many planks 17 feet long, 8 inches broad, and 34 inches deep, can be stored in a place 51 yards long by 6 yards broad, and 13 feet deep?

2. How many gas shares at £206 10s. per share are equivalent to 708 railway shares at £136 10s. per share?

SECTION VI. 1. A piece of work is done by 90 masons working for 19 days, and 120 labourers for 21 days; the former receive 101d. per hour, the latter 91d.; what part of the whole cost in wages (£2094 15s.) should be assigned to each of the two parties of workmen ?

2. How much silver at 3s. 9d. per oz. should be exchanged for a bar of gold weighing 31 lb. 3 oz., if 15 oz. of gold cost £79 88. 9d.?

SECTION VII. 1. Subtract (2 of 32 of 71) from (7 of 51 of 2), and divide the remainder by (7 of 18).

2. What fraction of £11 78. 6d. is equivalent to of £15 68. P

SECTION VIII. 1. Express in vulgar fractions 04, 004 and 0004. Find the average of 813, 9.195, 7·007, 3.668, and reduce £1 78. 94d. to the decimal of 71⁄2d.

2. How many times is 29.75 of 13 pole contained in 4.25 of 3 acres?

SECTION IX. 1. What capital would obtain £84 78. 54d. in 2 years and 5 months at 3 per cent. ?.

2. What would be the difference between the simple and compound interest of £9902 13s. 4d. for 2 years at 3 per cent. P

SCHOLARSHIP

1880.

QUESTIONS.

SCHOOL MANAGEMENT.

Three hours allowed for this Paper with that on Music.

Those who are or have been Pupil Teachers are not to answer more than one question in any Section. Candidates who have not been Pupil Teachers may answer any seven questions they think fit, except in Section VII., from which only one subject may be selected for notes of a lesson.

No Candidate is to answer more than seven questions.

SECTION 1.-1. Name some subjects suitable for home lessons, and state the most suitable times and methods for their revision. What objections are sometimes raised to home lessons?

2. Point out some of the means by which the attention of a class may be sustained through an oral lesson of thirty minutes' duration on Geography, so that the more dull or backward children may not be allowed to suffer.

3. Divide a pupil teacher's daily work into these three heads-viz., work in school, instruction by the teacher, and preparation of lessons-assuming that the whole should not exceed eight hours daily. State also what proportion of time can be devoted weekly to each subject assigned for the fourth year of a pupil teacher's

course.

(For Females only.)

4. Describe the best form of children's work-bags and teachers' work-aprons which you have seen in use. Describe how the latter should be cut out.

SECTION II.-1. Point out some of the advantages to be gained by simultaneous class reading; and deduce, from those considerations, for which classes of a school this method is best adapted, and the dangers to be avoided.

2. What preparation should be made by a young pupil teacher before giving a reading lesson to a lower class, both as regards the language and matter of the lesson ?

3. Write out, as verse, the following passage, and give such notes as you would think necessary for an advanced class:

"I was a wild and wayward boy, my childhood scorned each childish toy, retired from all, reserved and coy, to musing prone, I woo'd my solitary joy, my harp alone. My youth with bold ambitious mood, despised the humble stream and wood, where my poor father's cottage stood, to fame unknown; what should my soaring views make good? my harp alone."

SECTION III.-1. In teaching subtraction, two methods are commonly employed-viz., of equal additions and of decomposition. State and explain the method which you have been accustomed to employ, and set down a graduated series of sums, leading up from the easiest to the most difficult process in sub. traction.

2. Describe any apparatus that you have employed, or seen in use, for enabling learners to verify by sight the addition table, cubic measure, and subtraction of fractions.

3. What is the meaning of the term "Compound Rules"? why are they so called? Under what systems of coinage, and of weights and measures, are they not required? Give examples.

SECTION IV.-1. Describe the proper position of the body for writing, the right way of holding the pen, and the best way of setting copies for advanced classes.

2. Show that some words would present special difficulties of spelling in the following passage, dictated to children who had not passed the second Standard :

"The tiger's tongue is so rough, that if it were to lick your hand, it would cause blood to flow; its colour is a light tawny brown with beautiful black stripes; its feet are cushioned, and it has whiskers to help it to feel its way."

3. Point out some of the common mistakes of the composition of children as regards the use of relative pronouns, conjunctions, and punctuation.

SECTION V.-1. Name the principal uses of a globe in teaching Geography, and state fully how you would employ it in giving a lesson on Day and Night.

2. Write out those dates of events in English History during the seventeenth century which you consider worthy of being committed to memory by children, and give your reasons for your selection.

3. Show that children are liable to confound nouns and verbs, and adjectives and verbs, in first lessons on Grammar. Give examples in which such confusion might arise, and state clearly how you would obviate this confusion in the examples given.

SECTION VI.-1. Show that rewards may be usefully employed in stimulating children to work. Name some rewards that may be connected with the daily work of the school.

2. State fully the bad effects which are produced by retaining a clever_child in one class for a year without due promotion. How often should promotion be made?

3. Show that clear distinction may be drawn between truthfulness and "telling tales." How can older boys be employed in assisting to maintain the discipline of a school?

SECTION VII.-Write full notes of a lesson on one of the following subjects:

(1) The changes of the seasons.

(2) The processes of some manufacture.

(3) Some agricultural machine.

(4) Post Office Orders.

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