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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

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, I 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, reading, writing, 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.

Male Candidates.

I. (a) 756,030; (1) 655,226. Sum - 1,411,256.
Difference 100,804. Quotient

= 14. II. (1) £2,470 188. 5.d. (2) £275 58. 3 d. III. (1) £12 ls. 1d. (2) 16,399 half-crowns, 64)

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 9s. 2 d. (2) £5 98. 5137d.

(3) £8 3s. 11d. VII. (1) 647. (2) 1.291505. (3) £1 68. 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) 8s. IX. (1) 108. 2 28d. (2) £851 ls. 31d.' (3) 198 yards.

Female Candidates.

1. (1) Nine millions ninety thousand nine hundred

and nine. 11. (1) 3578 (2) 97,553,579.

III. (1) £333 38. 39 d. (2) 77,777 ozs.
IV. (1) £1,925. (2) 570 francs.
V. 1s. 3d., 18. 9d., 4s. 74d., 4s. 9d., 3s. 6 d., 1s. 6d.,

28. 74d. = £1.
VI. (1) ls. 3d. (2) £858.
VII. (1) 6. (2) £21.
VIII. (1) 919 times. (2) 16. (3) 90.

IX. (1) 99,999 farthings.

ALGEBRA.

(1) 323 + 44xy – 38xy? + 19y.
(2) 10ab -- 5că — 15ac + 116d.
(3) am – 117649; and x2 + 3.
(4) as 4a4b + 4a3b2 + 4a2/3 – 17ab4 — 1265;

and ac?
(5) (a)x=21, (b) a = 10.
(6) 104 miles.

ax + 62.

1874.

ARITHMETIC.

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, fire hundred and

fifty-nine thousand, one hundred and seventy. II. (1) 178.3795d. (2) £517 16s. 6d. (3) £138 98. 98. III. (1) 8} ft. (2) 15368. (3) 4 lb. 8 oz. IV. (1) £34,503 98. 4.d. (2) £5 4s. 03.d.

(3) £71 12s. 9d. V. (1) 725. (2) £35 108. (3) 12 months. VI. (1) £515 10ś. 521d. (2) £825, £450, 20 per cent.

(3) 5131 per cent. gain. VII. (1) £7,000. (2) 4911 and 1,34513. (3) ko. VIII. (1) £6177 10s. (2) .2. (3) £257 28. 7.875d. IX. (1) 5 acres. (2) 15246 kilograms. (3) 10633.68

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.

(1) £55 158. 7d. (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) £59,070 138.81d. (2) 1,771.

V.

ALGEBRA AND MENSURATION.

(1) 56 – 5c. (2) 2a5 — 5a4b + 10a2l3 10ab4 + 365 and 2* — Qay2 + y4. (3) « + 3,

63 9 (4) 1. w=1. 2. d =

3. a =

+ 4

2

2 4. æ= 2. (5) 39.68 sq. poles. (6) 82.

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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. £

£ s. d. (3) 30 3 0 and 100 0 0

55 4 2 4 17 6 7 8 9

97 13 5

. d.

£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 88. (3) Each proprietor has 52 ac. 2 r. 10 p. IV. (1) £478,478. (2) 15s. 3d. (3) £99,711. V. (1) Length, 360 ft. 114 in. (2) £2,560. (3) 1s. 3d. VI. (1) £4 58. 6d. (2) £6,704 158.29 d. (3) 64 per cent. VII. (1) . (2) As 40 : 41. (3) 523 days; 1. 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, 150708 metres.

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

tient, 14,438,45
II. (1) 360,555,642. (2) 45,067.
III. (1) 5 days 20 hrs. 28 min. (2) 48,592 oz.
IV. (1) and 7057. (2) 136311.
V. (1) 103. 3.24975036d.

(2) 338.0483870967741935. VI. (1) 4 (2) 68, 32.d. VII. (1) 584 yds.; £16 3s. 1 d. (2) £137 9s. 11 d.

and £174 18s. 1014d. VIII. (1) £750. (2) £6.

ALGEBRA.
III. (2) 8a5 — 4a'b 2a3l2 — 4a2b3 + 2ab4 — 11b;

a? 2ax + bx – 22.

(3) a + b; amb? a86. IV. (1) 1. 2x2 + 3xy y. 2. •5773.

a + 62 3. x =

at b
a? + 72
y
4. a =

- 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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