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2. Show that harshness and untruthfulness in a teacher influence the character and behaviour of children out of school.

3. What bad effects are produced by imperfect classification both upon the more and less advanced members of a class?

SECTION VII.

Write full notes of a lesson on one of the following

subjects:

(1.) Some battle in English History.

(2.) Moods of verbs,

(3.) A first lesson on multiplication of money.
(4.) Fishes.

ARITHMETIC.

Male Candidates only.

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. 14), and in the paper on Algebra (p. 19)].

SECTION I.

Add together three hundred and six dozen, five hundred and ninety score, and one hundred and seven gross.

Express in words the largest number that can be formed with the digits 1,0,0,8,0,0,9,1,9,6.

A million and a quarter of passengers are carried by rail in a certain week, and the average journey of each passenger is seventeen miles; find the average payment per mile, the sum received for fares amounting to one hundred and thirty-two thousand eight hundred and twelve pounds, and ten shillings.

(These form one question.)

SECTION II.

1. A sum of prize money is divided among 720 soldiers; each receives five shillings and fourpence less than each of 960 soldiers among whom a sum of £4004 is divided; find the amount of the former sum.

2. The first, second, third class fares on a railway are 3d., 2d., 1d. per mile respectively; find the distance. travelled by two men, one of whom travels first class one quarter of the distance, and the remainder second. class, and pays 8s. 9d. more than the other man, who travels third class all the way.

3. A man pays three bills, the first in half-crowns, the second in florins, the third in shillings, the number of coins in each case being equal; the amount of all the bills is £40. 148. Od. ; find the amount of each separately.

SECTION III.

Make out the following bill :

27 dozen shirts, at 2s. 94d. cach.
59 coats, at 258. 4d. each.

81 vests, at 11s. 9 d. each.

50 dozen pairs of boots, at 37s. 6d, per half doz. 950 pairs of trowsers, at 878. 9d. per score.

SECTION IV.

1. How many bricks, whose length, breadth, and depth are 84, 44, 24 inches respectively, can be stored in a space 17 yards long, 10 yards broad, 8 feet high?

2. How many feet of boarding will be required for a roof 72 feet long, and 19 feet deep, the boards being 9 feet long, and 5 inches deep, if the longer of edge each is laid horizontally and overlaps the lower board by three quarters of an inch?

SECTION IX.

1. Find the square root of 160, and the cube root of 8.1, each to two places of decimals.

2. The longer sides of two rectangles are 189 and 244 yards, their shorter sides 45 and 36 yards; find the area of a square that is intermediate in area to the two rectangles and whose side consists of an exact number of yards,

SECTION X.

1. In a certain town nine schoolmasters receive annual salaries amounting to £1109. 2s. Od.; 17 schoolmistresses and 19 pupil teachers receive salaries amounting to £1,602. 08. 8d., the average salary of a pupil teacher being one fifth of that of a schoolmistress; compare the average salary of the schoolmaster and the pupil teacher.

2. In a co-operative factory, how should a sum of £125. 38. 5d. be divided among three workmen, who work 8, 9, 10 hours per day respectively, and whose rates of production per hour are also in the same ratios, and who have employed 10, 11, 12 days respectively on the work?

ARITHMETIC.

Female Candidates only.

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 forty-eight. Subtract seventy-one thousands and sixty-one from the above sum, and divide the remainder by three hundred and seventythree.

SECTION II.

A landowner left by will a farm-in extent one square mile-to be divided into equal portions for his 5 children and 8 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 73d. per yard.
29 pairs of stockings at 1s. 24d. per pair.
35 yards of calico at 51d. per yard.
straw bonnets at 9. each.

210 yards of ribbon at 28. 9d. per dozen yards.
152 yards of silk at 3s. 14d. per yard.

SECTION IV.

Find, by Practice, the value of 3 trucks of coal, each containing 7 tons 13 cwts. 2 qrs., at 13s. 4d. per ton; and prove your sum.

SECTION V.

1. How many planks 17 feet long, 8 inches broad, 3 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 10d. per hour, the latter 94d.; what part of the whole cost in wages (£2094 158.) 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 lbs. 3 oz. if 15 oz. of gold cost £79 88. 9d.?

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