other examples. (a) "The grey-eyed morn smiles on the frowning night, checkering the eastern clouds with streaks of light." (b)" Beware of hasty gathering of riches." 2. Describe fully the physical features of Lancashire, Derbyshire, and Cheshire. If you can, draw a map of one of these counties. 2. Name six important towns in Scotland and Ireland, describe the situation of each as minutely as you can, and say for what each is noted. 3. What lines of railway run from London to Manchester and Liverpool? Trace, the route taken in travelling by each of them. ANSWERS.-CANDIDATES. 1. £4,193 2s. 2 d. 2. £8,127 2s. 81d. 3. 3 cwt. 1 lb. 4. 27 minutes. 1. £30 15s. 2 d. 2. £816,638 10s. 9d. 3. £469 18s. 4. 1 oz. 1 dwt. 9 grs. PUPIL TEACHERS AT END OF FIRST YEAR.-1. If 33 lbs. of tea cost 15s. 3d., how much can be procured for £4 3s. 10d.? 2. Express, as the decimal of £1, the sum of the following quantities:- of of 6s. 5d., and of of half-a-crown. 3. What decimal of 2 days is 15 hours 14 minutes 6 seconds? 4. Find the value of 1. If 365 acres 3 roods 39 poles be rented at £975 19s. 10d., what is the rent of 2 acres? 2. Find the rent at 38s. an acre of a rectangular field whose sides are respectively 50 chains 40 links, and 56 chains 25 links. 3. If a tradesman with a capital of £2,000 gain £50 in three months, what sum will he gain with a capital of £3,000 in seven months? 4. If I get. 8 oz. of bread for 6d., when wheat is 15s. a bushel, what ought a bushel of wheat to be when I get 12 ozs. of bread for 4d.? 1. "If pride were his, 'twas not their vulgar pride, Who in their base contempt, the great deride; But, if that spirit in his soul had place, It was the jealous pride that shuns disgrace."-CRABBE. Parse all the pronouns in the above. 2. Prepositions are used to connect (a) Nouns with nouns ; (b) Nouns with adjectives; (c) Nouns with verbs. Give examples of prepositions used in each way. 3. "I wonder how he did it." Is how here an adverb or a conjunction? Give the reason of your answer. 1. Draw a full map of the basin of the Rhine. 2. Describe fully, as for children, Lapland, Siberia, and Iceland. 3. Name any places in Europe where great battles have been fought, either by sea or land; describe the position of cach place, and say what you know about the battle. 1. Give the names and dates of the Sovereigns of this country from 1016 to 1066. 2. What kings reigned between Henry II. and Edward II.? Give their dates. 3. Write down the names and dates of the queens who have reigned in England. F ANSWERS. FIRST YEAR. 1. 18,7%. 2. 065625. 3. 31739585. 4. 1. (The d in the question has no meaning, unless d is put also after the second bracket.) 1. £5 6s. 8d. 2. £425 58. 3. £175. 4. 6s. 8d.. PUPIL TEACHERS AT END OF SECOND YEAR.-1. At what rate will the simple interest on £125 amount to £13 2s. 6d. in three years? 2. If 375 yards of silk be sold for £490, and a profit of twenty per cent. be realised thereby, what did the silk cost per yard? 3. If by selling coffee at Is. 7d. per lb. I lose 5 per cent., what must I sell it at to gain 5 per cent.? 4. A and B enter into partnership. A puts in £40 for three months, B £75 for four months; they gain £70. What is each partner's share of the gain? 1. What number added to +12 will give 21? 2. Simplify the expression 1 1 1 21 +31 +41 3. What part of of a ton is 23 of 13 of of a cwt. ? 4. If a person travelling 133 hours a day perform a journey in 27§ days, in what time will he perform the same if he travel 10 hours a day? 1. When a conjunction is followed by a noun or pronoun without a verb, the sentence is incomplete. Give examples of such constructions, and show how to complete the sentence in each case. 2. "His overthrow heaped happiness upon him; For then, and not till then, he felt himself; And found the blessedness of being little."-SHAKESPEARE. Point out the predicate and object in each sentence of the above. 3. Parse all the participles in the following, and point out in what respects they resemble, and in what respects they differ, from verbs:"Rollo, abjuring his heathen gods, became a Christian." "The Ides of March are come Ay, Cæsar, but not gone." 1. Give "notes of a lesson" on the Rhine, and illustrate them by a map. 2. Four vessels are entering the port of London from four different British possessions. Their cargoes are, respectively, tea, sugar, wool, and timber. From which of our possessions may we suppose each to have come? Describe the voyage of one of them. 3. Write a letter as from a young soldier in India, describing a journey from Calcutta or Bombay to the borders of Afghanistan. Draw a map in illustration. 1. What is known about Hengist and Horsa? From what part of Europe are they supposed to have come, and about what time? 2. Explain the effect of the Norman conquest upon the English language. 3. Who was the Empress Maud? Explain her relations with England, Scotland, Germany, and France. Write full notes of a lesson on Tea. 1. The angles at the base of an isosceles triangle are equal to each other, and if the equal sides be produced, the angles on the other side of the base shall be equal. Two isosceles triangles are on the same base and on opposite sides of it; prove that the line joining their vertices bisects both the vertical angles. 2. If two straight lines cut one another, the vertical or opposite angles shall be equal. PUPIL TEACHERS AT END OF THIRD YEAR.-1. Find the simple interest of £325 16s. 8d. for five months at 4 per cent. per annum. 2. Reduce the amount of the commission on £126 at & per cent. to the decimal of four guineas and a half. 3. A and B buy oranges at 10 for a shilling; A retails them at 9 for a shilling, and B at 17d. a dozen. Compare the gains of A and B in selling an equal number of oranges. 4. At a certain examination there were four candidates at the age of 13, three at 20, two at 21, and three at 23. Find the average age of the candidates. 5. I bought 128 yards of cloth for £100, and am now forced to sell it at a loss of as much money as I shall receive for 12 yards. what price per yard am I selling it? At 1. Take 01 from 1; and 57 704 from 713 00683, and prove the truth of each result. 25 2. Convert + 3} + 2?☎ + 6 into a decimal. 3. Add together of 21s., of a moidore (moidore = 27s.,) § of 7s. 6d., and reduce the result to the decimal of £1. 4. Reduce 2 inches to the decimal of 23 inches; and 1 st. 6 lbs. to the decimal of 3 lbs. " Be blessed with health and peace, and sweet content! And, oh, may Heaven their simple lives prevent From luxury's contagion, weak and vile! Then howe'er crowns and coronets be rent, A virtuous populace may rise the while, And stand, a wall of fire, around their much loved isle!"-Burns. (a.) Point out the co-ordinate sentences in the above passage. (b.) Point out the extensions of the predicate that occur in it. (c.) Parse the words in italics. ,་, 2. Give examples of words compounded of the Latin prefixes cum and dis, showing how the spelling of these prefixes varies in different words. 1. Give full "Notes of a Lesson" on A Journey from Calcutta to Cabul," and illustrate them by a map. 2. Name and describe the rivers of Asia and Africa flowing into the Indian Ocean and its branches. 1. What brothers and sisters had Henry VIII. ? Mention their marriages and issue. 2. Who were the pilgrim fathers? Give some account of their emigration. 3. What days have been reckoned as New Year's Day? When was the present style adopted in England and Scotland ? 1. To draw a straight line through a given point parallel to a given straight line. Draw a line DE parallel to the base BC of a triangle ABC, so that DE shall be equal to the difference of BD, CE. 2. Parallelograms upon the same base, and between the same parallels, are equal to one another. 1. Find the value of 3 √ (y + x)z2 + 3 √ x ( y − z )3 — (x + z), when x=3, y=4, z = 7. 2. Simplify (a + b + c3) — 3bc (b + c − a) −3 ca (c + a − b) — 3 ab (a+b-c). 3. Solve the equations :— -- ANSWERS. 3x 20 4.x (1) + = 1. За THIRD YEAR. gain :: 8:13. 4. 20 years 7 months. 1. £6 2s. 2 d. 2. 16. 8. A's gain : B's 5. 14s. 34d. 1. 09; 655.30283. 2. 12.038. 3. 2:37. 4. 96590; 5-857142. 1. 0. 2. ва a3 + b3 + c3 + 15abc. 3. (1) (2) 3, PUPIL TEACHERS AT END OF FOURTH YEAR.-1. A company having £1,130,4443 standing to their account in the funds now at 871, sell out, and reinvest in stock at par, yielding 3 per cent. interest. What interest may they expect to receive? 2. If A's rate of profit is of B's, and for every guinea gained by B, C gains a sovereign, compare the profits of A and C. 3. The average attendance in a school for twenty-one days is 61; the average for the first eight days being 64, and that of the next eleven being 59; required the average of the last two days. 4. A farmer gave for a horse a bill for £73 due in one month, and sold him immediately for a bill for £87 at four months. Find his gain per cent., interest being at the rate of 4 per cent. 5. I bought paper at the rate of 3s. 7 d. for 5 quires, and sold it so as to gain as much on the cost of 32 quires as 3 quires were sold for. At what rate did I sell the paper per quire? 1. At what rate per cent., simple interest, will £225 amount to £256 10s. in 4 years? 2. A man buys 33 ducks for £10, at how much a head must he sell them to gain 10 per cent. on his outlay? 3. A man spends on the average 30 guineas a fortnight; what must be his daily income in order that with his savings at the end of 31 years he may buy an estate worth £1,719 18s. (supposing a year to consist of 52 weeks)? 4. If the carriage of 37 stone 6 lbs. for 7 miles cost £2 5s., what weight should be carried 12 miles for £3 10s. ? 1. "I schal tell, as I have herd, ROBERT DE BRUNE (14th century). (a) Write out the sense of the above in modern English, (b) What is meant by the genitive case? Show an example of an old genitive case from the above. What represents the genitive case in modern English grammar? (c) Analyse the fifth and sixth lines of the above. (d) Parse the words in italics. 2. Give an example of a nominative absolute used as an example of the predicate. 1. Give full "notes of a lesson on Central America. Draw a map in illustration. 2. Name and describe the rivers flowing into the Indian Ocean and its branches. 1. What can you tell about the origin of the names Britain, England, Cumberland, Calais, Watling Street? 2. Who was Prince Rupert? What part did he play in English history? 3. Compare the condition of London in June, 1780, and June, 1880. Write an essay on holidays, and how to spend them. 1. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. 1. Find the G. C. M. of 12x4-14x3 · 3x2 + 4x + 1, and 12x1 22.x3 ++ 6x + 1. 2. Solve the equations 11x+7 (1) 11-2 (2) = 18 23+ (5x7 = (x + 7) (x — 5). 3. If B give A 6d., A will have twice as much as B; and if B give A 6s., A will have five times as much as B; how much has each ? 1. One side of a triangle is half the sum of the two others; the sum of the three sides is 84 feet, and the area of the triangle is 14 square yards: find the sides. 2. The radius of a circle is 373 feet; find the area of a sector which is one-eighth of a quadrant. ANSWERS. FOURTH YEAR. 7:15. 3. 60. 4. 79. 1. £33,768. 2. A's gain: C's gain :: 5. 9 d. 1. 3. 2. 6s. 8d. 3. £3 12s. = 7; y = 11. (2) x = 8 4. 33 st. 13 lb. 1. 4x2 2x-1. 2. (1) x = 3. A has 21s. 6d.; B, 11s. 6d. 2. 136-83413 sq. ft., nearly. 1. 41, 15, and 28 ft. |