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3. If the wages of 13 men for 74 days amount to £13 7s. O d., how many men ought to work for 4 weeks-a week=6 days—for £173 8s.?

4. If by selling a horse for £40 I lose 20 per cent., what must I have sold him for so as to gain 10

per

cent.? 1. “ The north wind spends his rage : he now shut ap

Within his iron cage, the effusive south warms the whole air." (a) In analysing the above, how would you take the dominative absolute that occurs in it? (6) Give other examples of a similar construction.

2. How can you show that the English tongue belongs to the Teutonic family of languages, notwithstanding the very large number of words of Latin origin that it contains ?

3. Adverbs are derived from nouns, pronouns, adjectives, and prepositions. Give four examples of each. 4. Parse the following:

' Believe me, the sooner you arrive, the better we shall be pleased.” 1. Give notes of a lesson on The China Seas, and the Islands of the Malay Archipelago;" bringing out, as for children, all that is striking about them.

2. Show, as to children, how many articles of food are imported from British possessions. Arrange them in a table, according to the place from which they come.

3. If you were asked by children whether it is possible for a ship to pass from the Atlantic to the Pacific Ocean to the north of America, how should you answer them?

1. State briefly how Edward II., Richard II., Charles I., and James II. ended their reigns. Suggest any probable explanation of the different treatment of those monarchs.

2. Who was the consort of Edward I. ? Describe her character, and mention any historical monuments connected with her funeral.

3. What duchies palatine are there in England ? Tell to whom they belong, and anything you know of their history.

Same exercise as that set for candidates.

1. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.

2. Given a straight line divided as in proposition 11; prove that the rectangle contained by the greater part and the line made up of the whole and the greater part is equal to the square on the given line; and that the rectangle contained by the less part and the line made up of the given line and the greater part is equal to the rectangle sontained by the given line and the greater part.

1. Find the G.C.M. of 5a3 + 2a2 — 159 – 7, and 4u? — 7a3 – 11 +2la. 2. Solve the equations :

(1) (a + y
:

За 14y + 3
11

2
2x 7y + 1
+
7

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=3

(2) 2 + 1 8

+ 7

2 3. A man travelled 105 miles, and, on returning at a speed slower by 2 miles an hour, he was 6 hours longer in performing the journey. What was his first rate of travelling?

1. The length of a rectangular field is to its breadth as 6 to 5. One-sixth of the field was planted, which left 625 square yards for ploughing. What is the length ?

2. Find in yards the diapieter of a circle whose area is 11 ac, 3 roods 28,7% poles.

ANSWERS.—CANDIDATES.–1. £4 14s. 9}d.; ls. 10/d. 2. £5. 3. 162 francs. 4. 7 days. 5. Carpet £8 10s. 9d., table £17 9s. 7d., piano £37 58. 2d.

1. £11 68. 4d. 2. £148,368 17s. 3d. 3. £3,186 9s. 81&d. 4. £2 3s. 4d.

ANSWERS. FIRST YEAR.-1. •32. 2. £67 ls. ld. 3. 2s. 4d. 4. 8 oz. 5 dwt. 5. 5.135

1. 60 days. 2. £1,674 4s. 3. 816 acres. 4. 6d.

ANSWERS.-SECOND YEAR.-1. 3.714285. 2. £5. 3. 55 per cent. 4. B gave £850; 26 per cent. 5. £3 5s. Id.

1. l; '. 2. 464. 3. £3 12s. 4. 20 weeks.

1. Hypothesis—the two sides are equal. Conclusion-The angles at the base are equal, and, if the equal sides be produced, the angles on the other side of the base are also equal. 2. Euc. I. 14. 3. Euc. I. 24.

ANSWERS.—THIRD YEAR.-1. £132 ls. 8d. 2. 33} per cent. 3. 92 days. 4. £25. 5. 6800; 7221.

1. 89.395. 2. 11:25; .0000125. 3. 40. 4. 14 dozens. 1. Euc. I. 27.

2. Let E be the point, construct. Through E draw FEG parallel to AB or DC. Then, I. 41, A AEB = half AG, and A DEC = half FC, :: the two A's together = half the parallelogram. 3. Euc. I. 44. b

ah + bc 7,2 1. 0. 2.

3. (1) <= 8. (2) x = c or (b

a)? ANSWERS.--FOURTH YEAR.-1. 3. per cent. 2. 233; } oz. 3. •083334 of a ls. 4. Gain realised = £36 19s. 3.66 5. (a) £168; (b) 14s.-that is, if income tax has to be paid on total income. 6. A kilogramme : a lb. :: 27951 : 12500. 7. 12per cent. of land; 87} per cent. of water. 1. £1 4s. 119. 2. £16 10s. 85. 3. 51 men.

t. £55. 1. Euc. II. 6. 2. In Euc. II. 11, rect. DF:FA = sq. on AB. Complete rect. H.M. Cut off DN= HB and complete rect DP. Rect. DP = rect. H.M, AP is sq. on AH = FH = rect. HC, :. rect. GC = rect. AK.

1. a’ – 3. 2. (1) x = 9, y = 2; (2) x – 16 or 6. 3. 7 miles an hour.

1. 30 yards. 2. 271.09 yards, nearly.

a

39

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