(3) x = √ a2 + b2. VIII. (1) (a) 5. (b) Ratio of half-sovereigns to sixpences 15. (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.) (2) 450 miles. £9,319 Os. 10d. £3 18. 54d. £56 18. 1 d. V. (1) £58 18s. 6d. (2) £11,620. VI. (1) £15 178. 10zd. (2) 70 yards. £18 7s. 6d. VII. (1) A's share £6, B's share £4 10s. (2) 18. Od. VIII. (1) See Moffatt's Scholarship Answers, 1877, 2s. (2) a. 2.865324. b. 00004096. IX. (1) 331 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. (3) £4556. III. (a) £133,182 Os. 101⁄2d (b) £15,824 11s. 7 d. IV. (1) 10 ft. 6 inches. (2) 18 feet. V. (1) 2,356,300,800. (2) 48 ft. long, 18 ft. broad, (3) £2,580,000. VI. (1) (a) 431. (b) 15638. (2) 5, 20, and 119. 489 (3) £60. 547 2621449 VII. (1) 7.5, 00002, and 35546875. (2) As1: 112640 (3) Loss £734491. and £25 12s. VIII. (1) £88 10s. (2) 58. (3) £5, namely from 93 to 88. IX. (1) 58-2 inches. (2) 9 yds. the first, and 36 yds. the third. (3) £2. (2) £912 10s. V. ALGEBRA. (a) 110. (b) 70,707,070. (c) 2(a + b + c). (e) x — x1y2 — 4x3y3 + 4yε. VI. (1) (x+7) (x − 3); (4x2 - 3y2) (3x2 + 5y2); and (a2 + ab + b2) (a2 ab + b2). (2) 1. acdcdb abc-abd ab - cd (3) x = 15. (4) x = 3. VIII. (1) 768. (2) 64 ft. and 10,70 ft. MENSURATION. IX. (1) 32,900 sq. yds. (2) 235-61925 sq. ft. 87 tons 16 cwt. 3 qrs. 25 lbs. 13 oz. 449 drs. £14 178. 53d. £8095 48. 24d. V. (1) £1225; £8 15s. (2) £177 18s. 51d. VI. (1) £7 14s. 4 d. (2) 48 men. VII. (1), 9, 13, 17, 29, 7 10 13 22 (2) 45. IX. (1) £21 3s. 6d. (2) £59 18. 3d. Answers, 1879. 201 I. (a) 30,880. 1879. ARITHMETIC. (b) 9,986,110,000 nine thousand nine hundred = and eighty-six millions, one hundred and ten thousand. (c) 11⁄2d. II. (1) £2,811. (2) 84 miles. (3) 148 coins. III. (1) £563 9s. 0d. IV. (1) 248,832. (2) 34677, feet of boarding. Or 3855 pieces 9 feet long. V. (1) 100,000 lbs. (2) 600. VI. (1) (a), (b) 173. (2) VII. (1) (a) 100, 900, 9900 (2) 9225. VIII. (1) £5440. (2) 612. s. yds. 7 (b) 790. (c) 147·15. (3) £255 16s. 11 274d. X. (1) 8 to 1. (2) £29 6s. 8d., £40 16s. 9d., £55. ALGEBRA. V. (1) (a) 9a2 - 6ab24ac + 2bc· (b) x4 — y1 — 2y2z2 — z1 + 4y3z + 4yz3 — 4y2z2 · x1 — y1 — z2 + 4y3z +4yz3 — 6y272. = (c) (3x — 7y) (3x + 6y). (d) (√x + √y−√z) (√x+ √ÿ + √/ž). VI. (1) (a) = (2x — 2) (3x — 12) (x3 — x2 - 4x + 4) (b) = 6x536x30x3 +120x2-216x +96. MENSURATION. IX. (1) 66 sq. inches. sq. inch to the sq. mile. (2) £15 158. I. 55,555. ARITHMETIC. Females. II. 35 acres 2 rds. 8 poles 26 sq. yds. 8 sq. feet. III. £9 5s. 47d. IV. £15 78. V. (1) 11664 planks. (2) 468 shares. VI. (1) Masons, £897 15s. Labourers, £1197. (2) 105913 oz. = 882 lbs. 73 oz. (Troy). VII. (1) 23. (2) 128. VIII. (1) 25, 225, 2475. (b) 7. (c) 44·46. (2) 45. IX. (1) £997 10s. (2) £24 98. 5.71722d. Butler & Tanner, The Selwood Printing Works, Frome, and London. THE PUBLICATIONS OF MESSRS. MOFFATT & PAIGE. 2 O The Explanatory Readers How to Teach Arithmetic I O 2 I 4 O 2 3 Livesey's How to Teach Grammar Moffatt's Grammar. Stand. II. and III., in paper covers, id. each; in cloth, 2d. each. Stand. IV., V. and VI., in paper covers, 2d. each; in cloth, 3d. each. Moffatt's Inspector's Test Cards, Grammar. Standards II. and III., one packet, 8d.; Standard IV., one packet, 8d.; Standards V. and VI., one packet, 8d. Moffatt's Outlines of Grammar.. The History and Grammar of the English Language .. The Sources and Growth of the English Language Moffatt's Halfpenny Table Book o of Moffatt's Arithmetic-Stand. I., II., III., IV., V., and VI., each Ditto, in cloth covers Answers to all Standards The Standard Course of Mental Arithmetic, Part I. for Standards I., II., and III., price 2d.; Part II. for Standards IV., V., and VI., price 2d. ; cloth Answers to Mental Arithmetic Moffatt's Arithmetical Test Cards in packets of 25 cards, with Answers, in three sets, A, B, C. Set A.-Mechanical Rules. Standards I., II., III., IV., V., and VI. each Set B.-Mechanical & Problems. Standards I., II., III., IV., V., and VI. Set C.-Problems. Standards I., II., III., IV., V., and VI. each o 8 Moffatt's Inspector's Test Cards in packets of 25 Cards, with Standards I., II., III., IV., V., and VI. III. 9 Ο ΙΟ IV. V. "" VI. Moffatt's Chart of Geographical Terms Moffatt's School Maps-England, Europe, British Colonies, Asia, Africa, N. America, S. America, E. Hemisphere, W. Hemi sphere, Scotland, Ireland each 14 Moffatt's Test Map of England and of Europe each 9 14 O Moffatt's District Map of Middle- The Geography of the Oceans Moffatt's Inspector's Test Cards -Geography. Standards II., III., IV., V. and VI. .. Moffatt's Sixpenny Atlas Moffatt's Half-crown Atlas each O .. 2 Moffatt & Paige, 28, Warwick Lane, Paternoster Row, London 69 |