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Pupil Teachers' Examination Paper.
November, 1879. CANDIDATES. — Arithmetic.-Males.—1. If 39 men can do a piece of work in 168 days, in how many days can 72 men do it?
2. A periodical published at 10 d. has a circulation of 3,500. How much do the publishers receive for each issue?
3 In a certain year 590,767 oz. of gold coin were exported from the United States. Find the value at £3 17s. 10 d. per oz.
4. If 4 horses can plough 45 acres in ten days, in what time would 6 horses plough 81 acres ?
5. A sets out in a carriage at the rate of 7 m. an hour. In of an hour B. follows at the rate of 10 m. an hour. In what time will B. overtake A. ?
FEMALES.–1. Make a bill of the following articles :—57 yards of calico at 13/d. a yard; 1562 yards of flannel at 2s. 1įd. a yard; 277 yds. of broad cloth at 27s. Od. a yard; 39 yds. of drugget at 3s. 5d. a yard : 11 mats at 9s. 114d. each ; 754 yds. of Brussels carpet at 4s. 87d. a yard.
2. Work, by Practice, (a.) A bankrupt's debts amount to £3,548 6s. 8d. What will his creditors lose if he pays 12s. 10 d. in the pound ? (b.) Find the value of a crop on 12 ac. 1 ro. 22 p. at £19 6s. 8d. an acre.
3. What is the value of 1 pipe 47 gallons, 1 qt. of wine at £28 17s. 6d.
per bhd. ?
Grammar.-1. Point out and parse the verbs and adjectives in the following passage :-
" The shades of eve come slowly down,
The woods are wrapped in deeper brown,
To guide the wanderer's steps aright."-SCOTT. 2. Distinguish between transitive and intransitive, regular and irregular verbs.
3. Give examples of adverbs modifying other adverbs.
Geography.-1. Describe fully ihe physical features and general character of Aberdeenshire, Cumberland, and Kerry.
If you can, draw a map of the coast-line of each of these counties.
2. What natural features of country could be well observed in the neighbourhood of each of these places, viz., Maidstone, Leeds, Beaumaris, Bute, Ilfracombe ?
Show, in each case, how you could illustrate geographical definitions from actual objects.
3. Write a short account of the Islands in the English Channel, Dictation.— Write a passage from dictation.
Penmanship.—Write, in large hand, as a specimen of copy-setting, the word Citizenship.
Write, in small hand, as a specimen of copy-setting, Farewell the plumed troop, and the big wars that make ambition virtue !
PUPIL TECHERS AT THE END OF FIRST AND SECOND YEARS.- Arithmetic. -Males.-1. Reduce l' hours to the fraction of 10 minutes, and 3; of £1 Os. 9 d. to the fraction of £1 10s. 10d.
2. Compare, as fractions of their highest common denomination, the values of io £, zo of a guinea, and is of a crown.
3. Add together •375 of a guinea, .875 of 2., 3.83 of 4s. and 6.15 cf 2s. 9 d.
4. Reduce 1.75 shillings to the decimal of £1, and 2.6 of £.877085 to the decimal of half a sovereign.
5. What decimal of £35 0s. 3 d. did I receive on being paid 35 of £3 128. 6 d.?
FEMALES.-1. If a piece of cloth is 20 yards in length and yard in. breadth, how broad is another piece which is 12 yards long, and which contains as much cloth as the other?
2. If the carriage of 3 cwt. cost 10s. for 40 miles, how much ought to be carried for the same price for 25 miles.
3. If a tradesman with a capital of £2,000, gain £50 in three months, how long will it take him, with a capital of £3,000, to gain £175 ?
4. If I get 8 oz. weight of bread for 6d. when wheat is 15s. a bushel, what ought a bushel of wheat to be when I get 12 oz. of bread for 4d. ? Grammar.–1.
" Hast thou not marked, when, o'er thy startled head,
The savage whirlwind wakes, and sweeps the groaning hill ? "-Scott. (a.) Point out the adverbs in the above passage, and give your reason, in the case of each word, for calling it an adverb.
(b.) Give examples of present and past participle from the above.
Parse fully the word what, taking it as equivalent to that which, in the following: “ This is what is right, and this is what he told me to do.”
Geography.-1. Draw a map of the basin of the Severn, marking as clearly as you can the courses of its tributaries, and the natural boundaries of the basin.
2. Give a full account of Turkey in Europe, under these heads :(a.) Its boundaries. (6.) Coast-line. (c) Mountain ranges. (d.)
. Rivers. (e.) Races who inhabit it. (f.) Independent or vassal States paying tribute to the Sultan.
3. In sailing along the coast of Europe from the mouth of the Seine to the Dardanelles, what are the most striking objects you would see ? Describe them as fully as you can.
History.-1. Write down the names and dates of our Danish kings.
2. Give a list of the Kings who reigned between 1154 and 1399. Fix their dates, and show the relationship between them.
3. Give the dates of the Rising in Scotland against George I., Conquest of Canada under George II., Union of Great Britain and Ireland under George III., Abolition of Slavery under William IV., Crimean War ander Victoria. If you cannot fix dates of these events, give dates of the Sovereigns named.
Composition.-Write from memory the substance of the passage read to you by the Inspector.
PUPIL TEACHERS AT END OF SECOND AND THIRD YEARS.- Arithmetic.Males.—1. Find the simple interest, and the amount, of £106 13s. 4d. from June 15, 1843 to September 18, 1843, at 43 per cent. per annum.
2. In a shipwreck goods were damaged to the extent of 43.75 per cent. Find the number of ozs. whose value was lost in every lb.
3. What sam will amount to £387 7s. 73d. in three years at 4 per cent. per annum, simple interest?
4. How much per cent. is 15 of 96; 23 of 256 ; 1857 of 7321•75 ? (Give the answer to the last of the three in decimals to 4 places.)
5. What must be the sum insured at 4. per cent. on goods worth £1,910, so that, in case of loss, the worth of the goods and the premium may be recovered ?
123 11 2. Find the value of £3-of £2 10s. 2d.+of 14 half-crowns.
3. A man earps 16 s. a week; what ought he to earn in 5 lunar months.
4. of a draper's stock was destroyed by fire, šof the remainder was injured by water; he sold the uninjured goods at cost price, and the injured goods at cost price, and realised £225. What did he lose by the fire ?
Grammar.-1. (a.) Point out and parse all the participles in the following; and show (from the examples here given) that participles partake of the nature both of verbs and adjectives
" All shod with steel
The pack loud chiming, and the hunted hare.”' --WORDSWORTII.
Geography.-1. Give“ Notes of a Lesson” to a Second Standard on "Day and Night;" showing how you would explain and illustrate(a.) The general cause. (1.) The reasons for the different amount of light and darkness at different times of the year. 2. Draw a full map of the eastern coast-line of British North America. 3. Describe fully the Island of Ceylon.
History.-1. Describe Egbert's original kingdom, and explain why he is called first king of England.
2. When did London become the capital of England ? Which was the old capital and why was the change made ?
3. What parties contended at the battle of Mortimer's Cross, and with what result ?
Composition.—Write full notes of a lesson on the months of the year.
Euclid. --[All generally understood abbreviations or symbols for words may be used, but not symbols of operations, such as -, +, X.]
1. The angles at the base of an isosceles triangle are equal to each ther, and if the equal sides be produced, the angles on the other side
base shall be equal.
2. Reduce(34-3)* 1; of 4 to a decimal.
2. Any two sides of a triangle are together greater than the third side.
3. Through a given point D draw a line cutting off equal parts from two given lines AB, AC.
PUPIL-TEACHERS AT END OF THIRD AND FOURTH YEARS.- Arithmetic.Males.—1. A parish containing 2,456 acres is rated at 8d. in the £1, on of the actual value of the rental of £3,837 10s. What is the average charge per acre ?
2. If 1 cwt. of an article costs £7, at what price per lb. must it be sold in order to gain 10 per cent. of the outlay?
3. What percentage of 4 yards is .00003551136 of a mile ?
4. Find the difference between the amount at compound interest of £1,200 at 10 per cent. (int. paid yearly) for 13 years, and the amount of the same sum, at simple interest, at the same rate, for 4 years.
5. What income will be derived from £2,000, if of it be invested in 3 per cents. at 93, and the remainder in 3. per cents. at par ?
FEMALES.-1. Divide 7619 by .0019 and multiply the quotient by : of .00011569.
Х -521 3. A woman has a certain number of eggs: she sells •3 of the number and one more to one person ; •3 of the remainder to a 2nd person ; •5 of the remainder to a 3rd person ; after these sales she had 15 eggs left. How many had she at first ?
4. At an examination •375 of the children were examined in History, •3 in Arithmetic, · 2083 in grammar, and the remainder, 12 in number, in reading. Find the number of children in the school. Grammar.-1.
“Good people, every man at time of death
After the vanished voice, and speak to men."-TENNYSON. a. Point out the verbs in the infinitive mood in the above; and show why an infinitive mood cannot form a predicate.
b. Point out a verb in the potential, and one in the subjunctive mood in the above passage; or, if you have been taught that there are no such moods in English, give your reason for this view.
2. What Latin prepositions erter into the composition of the following words :-suppliant, support, substitute, suffice, differ, distract ?
Trace if you can the meaning of the preposition in each word.
Geography.-1. Give “Notes of a Lesson” to the Second Standard, on “ Day and Night;" showing how you would explain and illustrate(a.) The general cause. (6.) The reasons for the different amount of light and darkness at different times of the year.
2. Give a full account of the Turkish Empire, under these heads :(a.) Boundaries and Coast-line. (6.) Mountains and Rivers. (c.) Races who inhabit it. (d.) Independent or "Vassal ” States, paying tribute to the Sultan.
3. Describe fully, so far as it is known, the Basin of the Nile.
Algebra.—1. Find the value of V (V x + yje
Hdstory.-1. What was the bloody Statute of 1539 ? What parties were persecuted under it?
2. How was Willian III. related to Charles I. ? Compare the characters of the two.
3. When and under what circumstances was the battle of Waterloo fought ?
Compositiou.-Write from memory the substance of the passage read to you by the Inspector.
Euclid.-[Instructions as for second year.] 1. If the straight lines bisecting the angles at the base of an isosceles triangle be produced to meet, show that they will contain an angle equal to an exterior angle at the base of the triangle.
2. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right angles.
3. Equal triangles upon equal bases in the same straight line, and towards the same parts, are between the same parallels.
2 * = 3, y = 4.
y 2 Divide xo + y2 +1 – 2y + 2x - 2.cy by x - y+ 1, and find when
2.c— tax+b is exactly divisible by x+y. 3. Solve the equations:42
3. 10. + 3 4.0 + 11 (2.)
= 2.66 7x 1 52 8 PUPIL-TEACHERS AT END OF FIFTH YEAR.–Arithmetic.-MALES.—1. A speculator invests £4,800 in 4 per cents. at 80, and at the end of each year invests the dividend due in the same stock. If the funds remain at 80 for 3 years, find bis dividend at the end of the third year.
2. A grocer buys 367 cwt. of sugar at £1 19s. 10 d. per cwt., and mixes it with 1,161 cwt. at £2 2s. O}d. per cwt. ; at what price per lb. should he sell the mixture to gain a profit of 12 per cent. ?
3. Out of £4 7s. 6d. 33•3 per cent. is paid to A., 14.285714 per cent. to B.; after this 36 of the remainder is paid to A. and the rest to B. State the sunis received respectively by A. and B.
4. I sell out of the 3 per cents. at 96, and invest the money in 5 per cent. stock, increasing my income thereby 50 per cent.
Find the price of the stock.
5. Find the length of the side of a square enclosure, the paving of which cost £27 ls. 6d., at 8d. per square yard.
FEMALES.—1. What sum of money will amount to £256 10s. in four years at 3} per cent. simple interest?
2. A man working 7 hours a day does a piece of work in 9 days; how
many hours a day must he work to finish it in 41 days ? 3. If a man can reap 345. sq. yds. in an hour, how much will 7 such men take to reap 6 acres. ?