1875. ARITHMETIC. Males. I. (1) 169,872. (2) (a) 130,013, (b) 13,131,313; III. (1) 7 dwts. 12 grs. (2) £2171 158. annual expenditure. Spent daily, £5 19s. £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. 11 in. (2) £2,560. (3) 18. 3d. VI. (1) £4 58. 6d. (2) £6,704 15s. 2 d. (3) 6 per cent. VII. (1) 47. (2) As 40: 41. (3) 52 days; . VIII. (1) 3571428. (2) 7,920 paces. (3) 47,620 guineas. IX. (1) 168 francs. (2) 56,270 square yards. (3) Difference, 15 708 metres. Females. I. (1) Sum 5,315,343; difference, 4,981,200: quo 90 tient, 14,438345 II. (1) 360,555,642. (2) 45,067. III. (1) 5 days 20 hrs. 28 min. (2) 48,592 oz. V. (1) 108. 3·24975036d. 30240 (2) 338-0483870967741935. VI. (1) . (2) 68. 333d. VII. (1) £16 13s. 11⁄2d. £174 188. 1014d. VIII. (1) £750. (2) £6. (2) £137 98. 111d. and Answers, 1875, 1876. ALGEBRA, III. (2) 8a5- 4a4b2a3b24a2b3+2ab1- 11⁄23 ; 2ax + bx x2. IV. (1) 1. 2x2 + 3xy — y2. 2. 5773. 239 a2 + b2 b a (3) 27 and 36 years. MENSURATION. V. (1) 10 ac. 6 p. 18 sq. yds. 4 sq. ft. 72 sq. in. (2) 24:49. (3) 26 ft. 1876. ARITHMETIC. Males. I. (1) 1,223,851,035. (2) 2,007,095. (3) Each man's share £7 12s. 74d. Each woman's II. (1) 180 turns. (2) 1760 packets. (3) £51 178. 11d. III. (1) £3 11s. 6d. (2) 28,267. (3) £7 108. (2) £17 3s. 4d. IV. (1) £15 14s. 94d. (3) £215 18. 44d. V. (1) 195; 2016. (2) £28. (3) 1000 days. VI. (1) (2) 30 days; or 5 weeks. (3) £49. 81. 253 The first field at £1212 per rd. is the highest priced field. VII. (1) 005; 300,000; 5. £770; B's = £8,470; D's = £2,500. (3) 5.52 in quantity; £1.96 in value. VIII. (1) £636 2s. 6d. +. (2) £1,200. (3) £50 88. IX. (1) 18. 104d. (2) £7 18. 8d. X. (1) 24.5 in. (2) 76. (3) £1. VIII. (1) Breadth 75 yds. Length 125 yds. (2) For Demonstration, see Moffatt's Scholarship Answers, 1876, price 28. (3) £1 38. 9d. MENSURATION. IX. (1) 1364 turfs, or 1363-8384. (2) £1.21. (3) 45 children. ARITHMETIC. Females. I. (1) Sum 31,188,806. Difference 30,518,730, II. (1) 3,095. (2) 82,962,600. III. (1) A £4 28. 6d.; B £3 18. 10d.; C £2 38. 3 d. (2) 777,777. IV. (1) £619 168. (2) £33 38. 3 d. V. (1) £11 28. 24d. (2) £980 28. VI. (1) Ratio 5: 7. (2) 28. 6d. (3) 25.38 metres. VII. (1) 99.9. (2) 832. VIII. (1) 11. (2) £1. IX. (1) 58,070. (2) Tea costs 18. 3d. Coffee costs 18. Sugar costs 9d. (3) For notes of lessons on Subtraction, see Moffatt's Scholarship Answers, 1876, price 28., or Livesey's" How to teach Arithmetic," price 28. 6d. Answers, 1877. 241 1877. ARITHMETIC. Males. = con- I. (1) a. 30,000,095,070,005; b. MDCCCCLXXXVIII. = difference; II. (1) 60 threepennies. (2) £4 1s. 3d. (3) 22. 105056 miles. IV. (1) £66 6s. 6d. (2) £4,241 78. 9d. 1222857 See Moffatt's Scholarship Answers, 1877. VII. (1) a. (i.) 09. (ii.) 7.8125. 21153846. b. (i.) See Moffatt's Scholarship (2) £257 2s. 21 d. (3) 2·075. VIII. (1) 4 per cent. at 118 is the most profitable (2) £29407. (3) £2,700. IX. (1) a. 5.7196. b. 98. c. See Moffatt's Scholar- (2) 58,905 florins. X. (1) £217 16s. (2) 1d. (5x + a)3° (b) See Moffatt's Scholarship Answers, 1877, (3) (a) See Moffatt's Scholarship Answers, 1877, 28. (b) Ditto. R ✔ab. 3 23/2 or 196 (3) x = √a2 + b2. y = VIII. (1) (a) 5. (b) Ratio of half-sovereigns to sixpences (The question should have been, "What is the ratio of half-sovereigns to sixpences ?" for the ratio of half-sovereigns to half-crowns is given-viz., 1: 1.) MENSURATION. (2) 450 miles. V. (1) £58 18s. 6d. (2) £11,620. VI. (1) £15 17s. 103d. (2) 70 yards. £18 7s. 6d. VII. (1) A's share £6, B's share £4 10s. (2) 18. 0d. VIII. (1) See Moffatt's Scholarship Answers, 1877, 2s. (2) a. 2.865324. b. 00004096. IX. (1) 33 per cent. (2) See Moffatt's Scholarship Answers, 1877, 2s. (3) § mile. I. 1878. ARITHMETIC. Males. (a) 10. (b) 3996. (c) 75,380 min. II. (1) 12,680 rupees. (2) £10,166 13s. 4d. III. (3) £4556. (a) £133,182 0s. 103d. (b) £15,824 11s. 7 d. IV. (1) 10 ft. 6 inches. (2) 18 feet. V. 83 2,356,300,800. (3) £2,580,000. (2) 48 ft. long, 18 ft. broad, |