VI. (1) (a) 3. (b) 15688. (2) 5, 20 and 11. 489 (3) £60. 9547 117649 VII. (1) 7.5, 00002, and 35546875. (2) As 1: 2621449 and £25 12s. (3) Loss £734491. VIII. (1) £88 10s. to 88. IX. (1) 58.2 inches. (2) 58. (3) £5, namely from 93 (2) 9 yds. the first, and 36 yds. the third. (3) £2. X. (1) £612 3s. and V. £255 18. 3d. (2) £912 10s. ALGEBRA. (a) 110. (b) 70,707,070. (c) 2(a+b+c). (e) x6 x1y2 - 4x3y3 +4y6. VI. (1) (7) (x-3); (4x2 3y2) (3x2+5y2); and (a2 + ab + b2) (a2 — ab + b2). (2) 1. (3) ∞ = ✓15. (4) x 3, or — 5, or VIII. (1) 768. √19-1. MENSURATION. IX. (1) 32,900 sq. yds. (2) 235-61925 sq. ft. 87 tons 16 cwt. 3 qrs. 25 lbs. 13 oz. 448 drs. £14 178. 5d. £8095 48. 24d. V. (1) £1225; £8 15s. (2) £177 18s. 5d. VI. (1) £7 14s. 4 d. (2) 48 men. VII. (1), 2, 10, 13, 22. I. (a) 30,880. II. 1879. ARITHMETIC. = (b) 9,986,110,000 nine thousand nine hundred and eighty-six millions, one hundred and ten thousand. (c) 1 d. (1) £2,811. (2) 84 miles. (3) 148 coins. III. (1) £563 9s. 01⁄2d. (c) £7 88. IV. (1) 248,832. (2) 34677 feet of boarding. Or V. VI. 19 385 pieces 9 feet long. VII. (1) (a) Too, VIII. IX. 9900' (b) 790. (c) 147·15. (3) £255 16s. 11.274d. = (1) £5440. (2) 612. 8649 X. (1) 8 to 1. (2) £29 6s. 8d., £40 16s. 9d., £55. V. (1) (a) 9a2 VI. · y1 — 2y2z2 — z1 + 4y3z + 4yz3 — 4y2x2 = x1 — y1 — z1 + 4y3z + 4yz3 — 6y2x2. (c) (3x-7y) (3x+6y). (d) (√x + √y−√z) (√x+√ÿ+ √ž). (1) (a) = (2x-2) (3x-12) (x3 — x2 — 4x + 4) - 36x+ + 30x3 +1202-216x + 96. 3x2 Answers, 1879, 1880. MENSURATION. 245 IX. (1) 66 sq. inches. sq. inch to the sq. mile. (2) £15 158. ARITHMETIC. Females. I. 55,555. II. 35 acres 2 rds. 8 poles 26 sq. yds. 8 sq. feet. III. £9 58. 4zd. IV. £15 78. V. (1) 11664 planks. (2) 468 shares. VI. (1) Masons, £897 15s. Labourers, £1197. (2) 10591 oz. = 882 lbs. 7 oz. (Troy). VII. (1) 23. (2) 178. VIII. (1) 25, 245, 2475. (b) 7. (c) 4446. (2) 459. II. (1) 132,480 gals. (2) 7920 miles. (3) 5,200,000. III. (1) 15311. (2) £9 0s. 10d. IV. (1) 95-99603174. (2) (a) 069; 069; 069; (2) (g) 062300883-069; 06; 0. 067207753+. VI. (1) £2856 14s. 2d. (2) £4360 5s. 3 d. VII. (1) (a) 25 hrs. (b) 70,400 gals.; 13,200 gals. (2) £94. VIII. (1) (a) 512 in., or 14 yds. 8 in. (b) 886-8 in., or 24 yds. 1 ft. 10'6 in. (2) (a) £53 58. 9d. (b) 16·434 + sq. feet. IX. (1) £473 18. 4.6959375d. (2) £1250 10s. in the 3 per cents.; £1749 10s. in the 4 per cents. X. (1) A's share, £1581; B's, £527; C's, £421 12s. (2) (a) 211.5. (b) 372.35. Females. SECT. I. (1) £26,610,016 78. 9d. II. (2) 17 tons 13 cwt. 2 qrs. 10 lb. 11,2 oz. III. (1) £6 12s. 6d. (2) £14 10s. 53d. IV. (1) £10 2s. 7d. (2) £121 3s. 2 d. VI. 41 yards. VII. (1) 171 tons 9 cwt. 13 lb. 4 oz. (2) 212; 2.59375. VIII. (1) (a) 198857142. IX. (1) 3 acres 3 roods 33 0256 poles. (2) 50 sq. yds. 3 sq. ft. 64 sq. in. SECT. 1881. ARITHMETIC. Males. (a) 243,096,525 × 4936=1,199,924,447,400. Hence this is the least number from which 4936 can be subtracted the required number of times. (b) See any Tables of Weights and Measures. Five hundred thousand and seven millions, fifty-nine thousands and ninety-five. II. (1) 18. 4d. (2) 350,000 sq. links. 2850' 2850' 2850' III. (1) 250, 2155, 2117, 2335, 2880; 324000. (2) }. (1) 1·44. (2) £4000. IV. V. VI. Book work. (1) £537 10s. 9gd. (2) £3 3s. 11§d. + 3s. 111⁄2d. + 7s. 1d. + £1 7s. 94d. + £3 18s. 4 d. = £9 1s. 3d. £9 1s. 3d.-9s. 02d.=£8 12s. 24d. VII. (1) 7 hrs. (2) £11 5s. (£4 10s. + £2 14s.) = (1) 3'6 inches. (2) £6,600,000. (1) 213 per cent. (2) £13,333 6s. 8d. Females. I. (1) 132,000,000 ft. (2) 6 cwt. 2 qr. 5 lb. II. (1) £1058 4s. 3d. (2) £7 16s. 14d. III. (1) 38. 03d. +8s. 42d. + 8s. 114d. + 78. 91d. + 16s. 7 d. +£1 5s. 113d. = £3 10s. 93d.; £5 - £3 10s. 9 d. = £1 9s. 24d. (2) £3 17s. 4d. +£3 13s. 4d. + £1 16s. + £5 1s. 9d. + £1 3s. 3d. + £10 10s. 6d. + 6d. = £26 28. 8d.; £30 £26 28. 8d. + £1 11s. 6d. = £5 8s. 94d. IV. (1) £244 18. 13d. (2) £1144 2s. 4 d. 2475 |