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IN

PROPOSED TO STUDENTS TRAINING COLLEGES,

AND TEACHERS IN
ELEMENTARY SCHOOLS.

CHRISTMAS, 1878.

A Notice to the following effect is

issued to Candidates as to Copying and Clandestine Assistance.

CANDIDATES WHO ARE DETECTED(a.) Introducing into the Examination Room, or

having about them, any book or writing, whether any

one uses it or not, from which answers may be copied; (6.) Applying, under any circumstances whatever,

to other Candidates; (c.) Answering, under any circumstances what

ever, applications from other Candidates ; (d.) Copying, under any circumstances whatever,

one from another; or, (e.) Conniving at any misconduct of this kind; will be dismissed from the Examination, and will be suspended, for a period not exceeding three years, from all recognition by the Committee of Council

. The plea of accident, or forgetfulness, will not be received.

Candidates must leave the blotting paper, and paper for making rough drafts, which are supplied by the Inspector, on their desks at the end of each sitting, and must bring none other into the room. The use of blotting paper for rough drafts, or for any writing whatever, is strictly forbidden.

Candidates may not bring into the examination room any instrument or material for writing, except pens, ink, pencil, knife, india-rubber.

Whatever questions Candidates may have to ask, or remarks to make, duriny the Examination, must be addressed.to the Inspector only. NOTE.—Except where different directions are printed,

the time allowed for each paper in the following series was three hours, and Candidates were restricted to one question in each section.

MALE CANDIDATES-FIRST YEAR.

ARITHMETIC.

Two hours and a HALF allowed for this Paper. 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 all paper on the same

subject, for other classes of Candidates.

SECTION I. Give rules for calculating mentally the price of 99 dozen at 9d. per dozen, of 940 articles at 18. 3d. per score, and for multiplying 9848 by 625.

Write down the factors of 4335.

Divide £479 48. 8d. among 35 men and 18 women, giving each woman half the share of a man.

[These form one question.]

SECTION II. 1. 1216 shirts can be made from a certain quantity of material, allowing 34 yards to each shirt; if 4 yards are used for each shirt, how many fewer will be made ?

2. A man's weekly wages are 438., the keep of his family of seven costs him 38. 9 d. per head per week: in 27 weeks he has saved £3 18. 10d., what is the average weekly amount of his other expenses?

3. A man saves out of his annual income £95 178., till an increase in the income tax of threepence in the pound reduces his annual saving to £85 158. 11d.; what is his annual income?

SECTION III. 1. Why must fractions be reduced to a common denominator for addition ?

Reduce to its lowest term 4838 ; and find the size of a square whose area is 1000 square yards.

† See infrà p. 42.

2. State the method by which you would find the L. C. M. of several numbers.

Find the value of

(8} of 346 of 4 of 1):(2}} of 131%). 3. Prove the role for multiplication of fractions.

Express in threepennypieces the value of 4 of 67 of 343guineas.

SECTION IV.

1. Explain why cannot be converted into a terminating decimal.

Supposing the earth to revolve round the sun in 365•242264 days, explain why Leap day should be omitted once in each of three centuries out of every four.

Find the value of 7•35 of 5 cwt. +.05 of a ton + 9:3 Ibs.

2. Prove the rule for multiplication of decimals.

Reduce 00003648 to a vulgar fraction in its lowest terms.

Multiply £39 48. 2d. by 7.09.

3. Two decimal fractions are together equal to 31.4178; one of these is of the other, find the two fractions.

SECTION V.

1. A coaldealer buys two equal lots of coal at the same price; he retails them at a profit of 13 and 14 per cent. respectively, making a total profit of £168 178. 3d. ; what did he pay for each lot of coals?

2. How many days of 9 hours each must 92 men work, to do 1 of the work that 95 men could do in 23 days of 10 hours each?

3. A man travels from England to India in 24 days, partly by land, partly by water: his rate of travelling is 30 miles per hour by land and 12 by water, if he could have travelled all the way by land, he would have finished the journey in 161 days; compare the distances travelled by land and by water.

SECTION VL.

1. Find the difference between the interest and discount on £7300 for 42 days at 5 per cent.

2. At what rate should interest be charged on £550 for 117 days to equal the interest on £650 for 55 days at 4 per cent. ?

3. What is the present value of £2100 to be paid in four equal instalments at the end of every fifth year at 5 per cent. simple interest ?

SECTION VII.

1. What capital should be invested in a 5 per cent. stock at 964 to produce the same income as £2120 invested in a 3 per cent. stock at 77?

2. A man buys 4830 yards of cloth at 3x. 4d. per yard; if he sells one-third at a gain of 20 per cent, and the whole at a profit of £187. 168. 8d., what is the gain per cent. on the other two-thirds?

3. A man sells out of 4 per cent. stock at par and invests in 3 per cent. stock at 86; he sells out at 881 and re-invests in the 4 per cent. at par; his income is raised by £177; what amount of stock did he originally hold?

SECTION VIII.

1. A rectangular trough 4 inches deep, 31 feet wide, 21 yards long, contains 72 gallons, find the depth of another rectangular trough, whose end contains 165 square inches, and which contains 132 gallons.

2. If a lb. avoirdupois contains 7000 grains troy and 133 pennies weigh 64 ozs. aroirdupois, find the weight in Ibs. troy of a bag containing 1368 pennies.

3. If silver is worth 53.9d. per oz., and gold £3 188. 7.25d. per oz., compare the weight of equal bulks of gold and silver, a bar of silver worth £12 being equal in bulk to a bar of gold worth £100.

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