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, 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, | 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; () 655,226. Sum = 1,411,256. Difference 100,804. Quotient = 14. II. (1) £2,470 18s. 51⁄2d. (2) £275 5s. 31⁄2d. III. (1) £12 1s. 1d. (2) 16,399 half-crowns, 641 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. 24d. (2) £5 98. 5137d. (3) £8 3s. 11d. 160 VII. (1) 643%. (2) 1·791505. (3) £4 6s. 5'946d. (4) 45 kilom. 6 hectom. 2 dekam. 5 decim. 6 centim. 5 m. VIII. (1) 400 min. (2) Time: 40 min. Place: after the slow train has run 163 miles, and the other 23 miles. (3) 88. IX. (1) 108. 2 28d. (2) £851 1s. 315d. (3) 198 yards. Female Candidates. I. (1) Nine millions ninety thousand nine hundred and nine. II. (1) 37. (2) 97,533,579. 9375 261 III. (1) £333 38. 3 d. (2) 77,777 ozs. IV. (1) £1,925. (2) 570 francs. V. 18. 3d., 18s. 9d., 4s. 74d., 4s. 9d., 3s. 6d., 1s. 6d, (1) 3x3 + 44x3y - 38xy2+19y3. (4) a5 ·4ab4a3b2+4a2b3 17ab1 — 12b5; and a2 (5) (a) x= 21, - ax + b2. 1874. ARITHMETIC. Males. I. (1) (a) 500,617. (b) 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. 3d. (2) £517 16s. 6d. (3) £138 98. 9d. III. (1) 8 ft. (2) 1536. (3) 4 lb. 8 oz. IV. (1) £34,503 9s. 4 d. (2) £5 4s. 03d. (3) £71 12s. 9d. V. (1) 729 (2) £35 10s. (3) 12 months. VI. (1) £515 10s. 511d. (2) £825, £450, 20 per cent. (3) 511 per cent. gain. VII. (1) £7,000. (2) 4913 and 1,34511. (3) 7% inches. III. IV. V. (1) 7 cwt. 2 qrs. 7 lbs. 2 oz. 7 drs. (2) 753,375. (1) £5,115. (2) £55. (1) £55 15s. 74d. (2) £2,666 13s. 4d. VI. (1) £5. (2) £2 4s. 41d. 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. 8d. (2) 1,771. ALGEBRA AND MENSURATION. (1) 56 — 5c. (2) 2a5— 5a1b + 10a2b3 — 10ab1 + 3b3 and æ1 — x2y2 + y*. (3) x + 3, III. (1) 7 dwts. 12 grs. (2) £2,171 158. annual expenditure. Spent daily, £5 198. Saved 99 £1 8s. (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) £458. 6d. (2) £6,704 15s. 2 d. (3) 6 per cent. VII. (1) 47. (2) As 40: 41. (3) 52 days; 7. 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. Females. I. (1) Sum, 5,315,343; Difference, 4,981,200; Quotient, 14,438.20 345 II. (1) 360,555,642. (2) 45,067. III. (1) 5 days 20 hrs. 28 min. (2) 48,592 oz. and (2) 115511 IV. (1) V. (1) 10s. 3.24975036d. 30240 (2) 338-0483870967741935. VI. (1). (2) 68, 33 d. VII. (1) 583 yds.; £16 3s. 11⁄2d. and £174 18s. 1014d. VIII. (1) £750. (2) £6. ALGEBRA. (2) £137 98. 111d. III. (2) 8a5-4a1b — 2a3l2 — 4a2b3 + 2ab1 — 11⁄2b3; a2 IV. (1) 1. 2x2 + 3xy — y2. 2. (2) 1. ∞ = 2. 2. x = a√3 or √5° 5773. α V. (1) 10 ac. 6 p. 18 sq. yds. 4. sq. ft. 72 sq. in. (2) 34-64... (3) 26 ft. |