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1. What illustrations would you place on the black board to shew the truth of the following expressions :(a) & of
(b) 2 + 2 = 12,
(e) The number of yards of carpet, 18 inches wide, required for a room 12 ft. long and 9 feet broad, is 24.
(d) 3·5 × ·2 = ·7.
(Two such illustrations will be considered equivalent to a complete answer.)
1. Express 2304, 1728, 1296 as powers of prime numbers and hence find their G. C. M. and L. C. M.
*2. Simplify the expression find the number of lbs. in 3 of 5 tons + 4 cwt.+ 1 of 513 qrs.
3. 4ths of the agricultural land of a district is arable, ths is pasture, ths of remainder wood lands, the remaining 1800 acres are common; find the number of acres in the whole and the relative size of each kind of land.
1. Divide 37.2812 by 00407 and prove the result by vulgar fractions.
Also, find the value of 3.75 of 5s. 6d. +505 of £3. 18. 8d. + 5·07 of 78. 6d. + 3.135 of £2. 18. 3d.
*2. Find the square root of 8658-3025 and the cube root of 753-571.
3. In 1861 three towns had populations of 17341, 15540, and 18760 respectively. In 1871 it was found that the population of the first had decreased 17 per cent., that of the second had increased 19 per cent., while the population of the three had increased by 5000; find the increase or decrease per cent. in the population of the third town.
*1. Find the value of 581 articles at £3. 11s. 9d. each, and of 29 oz. 5 dwt. 16 grs. of gold, at £3. 17s. 9d. per oz.
2. A bankrupt has £975 worth of goods in stock, his creditors would have received 148. 9d. in the pound if the goods had been sold for cost price, but of the goods are sold at 17.75 per cent. below cost price, and the remainder at 21.75 per cent. below cost price; for what were the goods sold, and what dividend is paid?
3. A piece of work can be done by 40 men working 10 hours a day for 17 days; how long will 17 men, 17 women, and 17 children over ten years of age, take to do it, each child working four hours a day and its working power in a given time being equal to one-third of a man's, each woman working 6 hours and her power being equal to two-thirds of a man's, each man working 8 hours a day.
1. Find the present value of £1565. 2s. 33d., due 4 years hence, at 5 per cent. simple interest.
2. Find the amount of £5750. for 6 years at 5 per cent, allowing £175. for annual expenditure.
3. The French 5 per cents. being at 1053 and the English 3 per cents. at 961; find the loss of income caused by transferring £5000 French stock into English stock, and the value of the stock in English money.
1. £12540. has to be divided between A, B, and C, so that A shall receive three sevenths of B's and C's shares, B shall receive two ninths of A's and C's; find the share of each.
2. Three boys run a race of 24 miles; A starts four minutes before B, and runs at the rate of 5 miles per hour; B starts two minutes before C, and runs at the rate of 6 miles per hour; C runs at the rate of 63 miles per hour. Find which will win the race, and the intervals between the arrival of each boy at the post.
3. Two clocks, one of which gains 3 min. 25 sec. daily, and the other loses 4 min. 15 sec. daily, at 12 o'clock on Monday are respectively 13 min. behind and 14 min. before the true time; what time will be told by the first clock, and on what day, when the second tells the true time?
GRAMMAR AND COMPOSITION.
Every Candidate must perform the exercise in Composition.
Candidates are recommended not to take more than half an hour for this exercise.
*1. Describe in simple prose the country scenes and sounds that are most attractive to the pensive man. Or 2. Describe Sir Roger de Coverley's character as drawn in the Spectator.
Or 3. Give some account of Milton's prose works. *Or 4. Give some account of the introduction of printing into England and of its earlier processes.
*Or 5. Classify the contents of the newspaper you are in the habit of reading.
Every candidate must do the parsing.
Part of a question well answered will obtain marks.
*1. To which parts of speech are the terms abstract, relative and neuter applied? Show clearly the full primary meaning of the terms, and deduce their more limited grammatical uses.
*2. Give rules respecting the concords of verbs with their subjects, when subjects differing in number or person or both are connected by "and," -also when they are connected by "or" and "nor."
* Parse the words in italics in passages (a) and (b) OR in (c) and (d).
(a) She was pinched and pulled, she said,
Tells, how the drudging goblin swet
(b) Sweet bird, that shunn'st the noise of folly,
Thee, chantress, oft the woods among
I woo to hear thy evensong.
(c) He is one of those that deserve very well but are very awkward at putting their talents within the observation of such as should take notice of them. (d) The earth must be laboured before it gives its increase, and when it is forced into its several products, how many hands must they pass through before they are fit for use!
*Analyse one of the following passages :— (a) There in close covert, by some brook, Where no profaner eye may look,
Hide me from day's garish eye,
Entice the dewy feathered sleep.
OR (b) The benevolence of my good old friend, which flows out towards every one he converses with, made him very kind to our interpreter, whom he looked upon as an extraordinary man, for which reason he shook him by the hand at parting, telling him he should be very glad to see him at his lodgings.
*1. Give simple prose equivalent phrases for the following-wreathed smiles-unreproved pleasures— amber light-upland hamlets-the lubbar fiend-immortal verse-forget thyself to marble-thy decent shoulders-iron tears-sullen roar-not tricked and flounced-day's garish eye.
*Or 2. Trace the change in meaning that the words italicised have undergone between the time of the Spectator and the present time:-a mirthful cast in his behaviour, an old humoursome father-the argument of Tully's oration-the history of every mode-to endeavour after a handsome elocution-the captain's equipage-an excellent husbandman-commerce with evil spirits-a • notable young baggage--a lusty man.
Annotate the following extracts
(a) In Stygian cave forlorn-the cynosure of neighbouring eyes- the jocund rebecks-by friar's lantern led -in weeds of peace-his half regained Eurydice-the bellman's drowsy charm-the unseen genius of the wood -the hairy gown and mossy cell.
Or (b) Justice of the quorum-the cardinal virtue of his life-manumission of servants-the vast jetting coat of Henry 7th's time-with a murrain to her-as you would conquer the Sphinx by posing her-a libertine way of service-at the bottom of the churn-a prickeared cur-a Cassandra of the crew-to foil the scenttouched for the evil-The Mohocks are abroad.
Explain the italicised portion of words in
(a) (de)lude, number(less), martyr(dom), (be)scem, (of)fend, sted (fast), (counter)feit, (un)sphere, (ker)chief, (twilight, (ec)stacy, land(skip), (im)mortal.
Or (b) jovi(al), (tri) vial, (dis)content, crit(ic), humour(ist), edi(fy), (e)orcise, (counter) tenor, (witch) craft, (hypocrisy, palmist(ry), (for)feit, (gibber)ish.
Students who are remaining in the Training College after this examination must omit Section VII,
and are not permitted to answer more than one question in each of the other Sections.
Students who leave the Training College to take charge of Schools after this Examination, should answer the whole of Section VII. and one question in each of the first five Sectious.
Acting Teachers are advised to select those questions which appeal most directly to their actual experience. They should answer the whole of Section VII. and any other five questions, omitting Section VI.