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indeed of their coming like a cloud from the east | and sweeping over Europe with the sudden destructiveness

| of a thunderstorm or a swarm of locusts, but their migrations | have little or no interest for us, except in their immediate | or their ultimate effects | upon civilised nations. Those races may be regarded | as out of history,

| whose doings form no part of the one great connected tale of human progress, / and which might indeed | be left out of mention altogether | without our understanding | the story less well. It is only when barbarians | come into contact | with the progressing, | building, | discovering, I reading, writing, I thinking world that they have any history.

B. About the first week in October | the rich green tint | of herbage and foliage | which prevailed through the whole summer | has usually passed away. The brilliant

and various colours of the fern | are then in harmony with the autumn woods, bright yellow | or lemon colour

at the base of the mountains, | melting gradually through orange | to a dark brown | towards the summits, | where the plant, | being more exposed to the weather, 1 is in a more advanced state of decay. | Heath and furze

are seldom found | upon the sides of these mountains,

though their level tops and terraces are frequently adorned with those plants / so beautiful when in flower.

ANSWERS TO SCHOLARSHIP QUESTIONS.

1873.

ARITHMETIC.

Mule Candidates.

= 14.

I.
1. (a) 756,030; (C) 655,226.

Sum =

: 1,411,256. Difference 100,804. Quotient II. (1) £2,470 188. 5.d. (2) £275 5s. 3. III. (1) £12 1s. 1d. (2) 16,399 half-crowns, 61.1

guineas. IV. (1) 86,394 square yards. (2) 2 tons 2 cwt. 2 qrs.

15 lbs. 9 ozs. (3) 765,090 grams. V. (1) £3,936 98. 21d. (2) £5 98.5187d.

(3) £8 3s. 11d. VII. (1) 6131 (2) 1.291505. (3) £1 6s. 5-946d.

(1) 45 kilom. 6 hectom. 2 dekam. 5 m.

5 decim. 6 centim. VIII. (1) 100 min. (2) Time: 40 min. Place: after

the slow train has run 163 miles, and the

other 233 miles. (3) Bs. IX. (1) 108. 2 28d. (2) £851 ls. 325d.' (3) 198 yards.

375

Female Candidates.

1. (1) Nine millions ninety thousand nine hundred

and nine. II.

(2) 97,533,579.

(1) 3157

93750

III. (1) £333 38. 32d. (2) 77,777 ozs.
IV. (1) £1,925. (2) 570 francs.
V. 18. 3d., 18. 9d., 48. 73d., 48. 9d., 38. 6,d., 18. 61 ,

28.7}d. = £l.
VI. (1) 18. 3d. (2) £858.
VII. (1) 6). (2) £21.
VIII. (1) 919 times. (2) 16. (3) 90.

IX. (1) 99,999 farthings.

ALGEBRA.

(1) 3x3 + 44x’y 38xy" + 197%.
(2) 10ab 5cd - 15ac + 116d.
(3) am - 117649; and w2 + 3.
(4) as 4a4b + 4a3l2 + 4a ́y3 17964 - 1215;
and ac?

ax + 6%.
(5) (a) a=21, (v) x= 10.
(6) 104 miles.

1874.

ARITHMETIO.

Males.

I. (1) (a) 500,617. (6) 9,008. (c) 4,509,557,936.

(d) 491,609. Sum = Four thousand five hundred and ten million, five hundred and

fifty-nine thousand, one hundred and seventy. II. (1) 178.3,99d. (2) £517 16s. 6d. (3) £138 98. 9d. III. (1) 8} ft. (2) 1536 15. (3) 4 lb. 8 oz. IV. (1) £34,503 98. 410. (2) £5 48. 03 d.

(3) 871 128. 98. V. (1) 735. (2) £35 108. (3) 124 months. VI. (1) £515 108. 527d. (2) £825, £450, 20 per cent.

(3) 5114 per cent. gain. VII. (1) £7,000. (2) 4913 and 1,34511. () da. VIII. (1) £6177 108. (2) 2. (3) £257 28. 7.875d. IX. (1) 5 acres. (2) 15246 kilograms. (3) 1063368

inches.

Females.

I. (1) 70,707. II. (1) 207. (2) 2,799,901. III. (1) 7 cwt. 2 qrs. 7 lbs. 2 oz. 7 drs. (2) 753,375. IV. (1) £5,115. (2) £55. V. (1) £55 15s. 7 d. (2) £2,666 13s. 4d. VI. (1) £5. (2) £2 4s. 4 d. VII. (1) 1. (2) 1 cwt. 1 qr. 1 lb. 1 oz. VIII. (1) 25. (2) £85. (3) 70.07.

IX. (1) £59,070 138. 8 d. (2) 1,771.

ALGEBRA AND MENSURATION.

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(1) 56 - 5c. (2) 225 – 5ab + 10ao/3 – 10ab4 + 366 and * — Qoy2 + y4. (3) « + 3,

63 9 (4) 1. x=1.

2. a =
=7

2 4. x= 2. (5) 39.68 sq. poles.

(6) 82.

a

3. a=v*+

1875.

ARITHMETIC.

Males.

I. (1) 169,872. (2) (a) 130,013, (6) 13,131,313;

Quotient, 101 ; Difference, 13,001,300. II. (1) £3,011 58. (2) A had £1 more than B. £

£ d. (3) 30 30 and 100 0 0

8. d.

8.

55 4 2 4 17 6 7 8 9

97 13 5

£97 13 5 and

£2 6 7

III. (1) 7 dwts. 12 grs.
(2) £2,171 158. annual expenditure.

Spent daily, £5 198.

Saved £1 8s. (3) Each proprietor has 52 ac. 2 r. 10 p. IV. (1) £478,478. (2) 153. 3d. (3) £99,711. V. (1) Length, 360 ft. 11} in. (2) £2,560. (3) 1s. 3d. VI. (1) £458. 6d. (2) £6,704 158. 2 d. (3) 64 per cent. VII. (1) . (2) As 40 : 41. (3) 523 days; 4. VIII. (1) -3571428. (2) 7,920 paces. (3) 47,620 guineas. IX. (1) 168 francs. From 2,640-75 francs to 2,808.75

francs. (2) 56,270 square yards. (3) Difference, 15.708 metres.

47
80

:

Females.
I. (1) Sum, 5,315,343; Difference, 4,981,200; Quo-

tient, 14,438.345
II. (1) 360,555,642. (2) 45,067.
III. (1) 5 days 20 brs. 28 min. (2) 48,592 oz.
IV. (1) 1 and 7057. (2) 115910.
V. (1) 103. 3:24975036d.

(2) 338.0483870967741935. VI. (1) 4 (2) 68, 323d. VII. (1) 583 yds.; £16 3s. 11d. (2) £137 98. 11d.

and £174 18s. 1024d. VIII. (1) £750. (2) £6.

30240

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a

ALGEBRA.
III. (2) 8a5 — 4afb 2a312 — 4a2b3 + 2ab4 - 110%;

a? 2ax + bx — x

(3) a + b; ab? — a'56. IV. (1) 1. 2x2 + 3xy y. 2. 5773.

a+62 (2) 1. x= 2. 2. x = ad or

3. x =

at b
a? + 12
-

4. x =
ža, or

2a.
b
(3) 27 and 36 years.

MENSURATION.
V. (1) 10 ac. 6 p. 18 sq. yds. 4. sq. ft. 72 sq. in.

(2) 34:64... (3) 26 ft.

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