Answers, 1870. 233 ANSWERS TO SCHOLARSHIP QUESTIONS. 1870. ARITHMETIC. Male Candidates. I. (1) 1,640,084. (2) 12426872. 54008 II. (1) 57,291 farthings. (2) 1911 years. III. (1) 216,000 times. (2) £1 8s. IV. (1) £62 12s. 1d. (2) £5 2s. 91d. V. VI. Change £1 18s. 9d. (2) £838. At 7 d. or any price not less than 7d. (2) 425 quarters. 776 VII. (1) 35 VIII. (2) 300 gallons. 10353-57100632. (2) 1,600. Female Candidates. I. (1) 3,192,630. II. (1) £37 12s. 8d. (2) £5,986 0s. 8d. III. (1) £969 7s. 111⁄2d. (2) £3 10s. 11⁄2d. IV. (1) £214. (2) 1279 half guineas. V. (1) 5s. 6d. per oz. VI. (1) £100. (2) VII. (1) £4 14s. 2d. (2) £627 2s. 11⁄2d. VIII. (1) 13917507 230000000 (2) 750 persons. greatest; least. or 0605109. (2) 27424. ALGEBRA. (2) 2x + 6a+ 136-7c-13. (3) 273-36x2+6xy+24x-y3-4y2 8y-8. 1871. ARITHMETIC. Male Candidates. I. (1) Fourteen millions. (2) One thousand two II. (1) 191,112 inches. (2) £32,004 17s. 81d. V. (1) £6 17s. (2) Engine, £3,000 9s. 3d. Tender, £1,000 38. 1d. VI. (1) £7,462. (2) 3 lbs. at 3s. 6d.; 4 lbs. at 2s. 4d. 239 (2) 92 miles. VII. (1) 2202 VIII. (1) 200. (2) 900,000. Female Candidates. I. (1) One million two hundred and nine thousand four hundred and thirty-six. II. (1) £11 14s. 9d. (2) £12 10s. III. (1) £47 78. 94d. IV. (1) £2 78. 7 d. V. (1) £88 11s. 3d. (2) £3 5s. 101d. VI. (1) 23 the greatest, and the least. (2) £9. VII. (1) 55387 oz. (2) £41 16s. 8.7048d. 049. (2) 046875. VIII. (1) 21ax OC - qb. (3) 35x3y2+2x2y2-40x3y + 32x2y - 24xy3. (4) (a) x2 + y2 (b). (5) (1) ∞ = 7. (2) 1. (6) 24 miles per hour. Answers, 1872, 1873. 235 (2) 1812 yrs. V. (1) £2 4s. 10 d. (2) 81 lbs. VI. (1) £2 11s. 7 d. +26. VII. (1) 10 (2) £75. (3) Diff.. See Wormell's Arith., p. 124. VIII. (1) 100-615982. (2) 84. (3) 3·464. IX. (3) 1st No. = 492. = 5904. 2nd No. 1476. 3rd No. Female Candidates. I. (1) One million nineteen thousand nine hundred and eighty. II. (1) 1436,327. (2) 3916. III. (1) 6s. 1d. +1. (2) 69,665 farthings. V. (1) £3 19s. 11d. VI. (1) 8s. 5d. (2) 13s. 6d. VII. (1) . (2) Greatest, 22; least, 201 121 VIII. (1) First, £12 5s.; second, £6 2s. 6d.; third, £4 18. 8d. (2) £6 5s. 7 d. (3) 70. ALGEBRA. (1) ・xy — 3ay2+ 3by + ax2 — 5y2. (2) 3a-17x-3y-3b. (3) 56x2y + 24xу1 + 46x3y2 — 32xy + 18x2y3 — 7x1y For complete worked answers see Huitt's "Answers to Scholarship Questions," 1873. Price 2s. I. (a) = 14. 756,030; (b) 655,226. Sum = 1,411,256. Difference = 100,804. Quotient II. (1) £2,470 18s. 51d. (2) £275 5s. 31d. III. (1) £12 1s. 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. (2) £5 98. 5187d. V. (1) £3,936 98. 24d. VI. See Huitt's "Answers to Scholarship Questions," price 28. VII. (1) 6412 (2) 1·791505. (3) £4 68. 5·946d. (4) 45 kilom. 6 hectom. 2 dekam. 5 m. 5 decim. 6 centim. 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) 10s. 2.28d. (2) £851 18.31 d. (3) 198 yards. Female Candidates. I. (1) Nine millions ninety thousand nine hundred and nine. II. (1) 31875 (2) 97,533,579. 9375 III. (1) £333 38. 32d. (2) 77,777 ozs. IV. (1) £1925. (2) 570 francs. V. 18. 3d., 18. 9d., 48. 74d., 4s. 9d., 38. 61d., 18. 6d., 28. 74d.= £1. VI. (1) 18. 3d. (2) £858. VII. (1) 6. (2) £21. VIII. (1) 919 times. (2) 16. (3) 90. IX. (1) 99,999 farthings. (2) 10ab. 5cd15ac + 11bd. (3) a6-117649; and x2 + 3. (4) a5-4ab4a3b2 + 4a2b—17ab4 - 12b5; (5) (a) and x2 ax + b2. x= =21. (b) x= = 10. (6) 10 miles. 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) £517168. 6d. (3) £138 98. 9d. III. (1) 8 ft. (2) 130511. (3) 4 lb. 8 oz. IV. (1) £34503 9s. 44d. (2) £5 4s. 0d. (3) £71 12s. 9d. V. (1) 728. (2) £55. (3) 12 months. VI. (1) £515 10s. 511d. (2) £825, £450, 20 per cent. (3) 51 per cent. gain. VII. (1) £7000. (2) 4911 and 134511. (3) VIII. (1) £6177 10s. (2) 2. (3) £257 2s. 7·877d. IX. (1) 5 acres. (2) 15246 kilograms. (3) 10633-68 inches. I. (1) 70707. Females. II. (1) 207. (2) 2799901. III. (1) 7 cwt. 2 qrs. 7 lbs. 2 oz. 7 drs. (2) 753375. IV. (1) £5115. (2) £55. V. (1) £55 158. 7 d. (2) £2666 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) £59070 13s. 8d. (2) 1771. |