SECTION IV. Find, by Practice, the value of three trucks of coal, each containing 7 tons 13 cwt. 2 qrs., at 138. 4d. per ton; and prove your sum. SECTION V. 1. How many planks 17 feet long, 8 inches broad, and 34 inches deep, can be stored in a place 51 yards long by 6 yards broad, and 13 feet deep? 2. How many gas shares at £206 10s. per share are equivalent to 708 railway shares at £136 10s. per share? SECTION VI. 1. A piece of work is done by 90 masons working for 19 days, and 120 labourers for 21 days; the former receive 10 d. per hour, the latter 9d.; what part of the whole cost in wages (£2094 15s.) should be assigned to each of the two parties of workmen ? 2. How much silver at 3s. 9d. per oz. should be exchanged for a bar of gold weighing 31 lb. 3 oz., if 15 oz. of gold cost £79 88. 9d. ? SECTION VII. 1. Subtract (3 of 3 of 71) from (7 of 5 of 2), and divide the remainder by (7 of 18). 2. What fraction of £11 7s. 6d. is equivalent to 1 of £15 6s. ? SECTION VIII. 1. Express in vulgar fractions 04, 004 and 0004. Find the average of 813, 9.195, 7·007, 3.668, and reduce £1 78. 9 d. to the decimal of 71⁄2d. 2. How many times is 29.75 of 13 pole contained in 4.25 of 3 acres? SECTION IX. 1. What capital would obtain £84 7s. 54d. in 2 years and 5 months at 33 per cent. ? 2. What would be the difference between the simple and compound interest of £9902 13s. 4d. for 2 years at 3 per cent. ? ANSWERS TO SCHOLARSHIP QUESTIONS. 1870. ARITHMETIC. Male Candidates. 54008 169 13149 years. I. (1) 1,640,084. (2) 12426872. VI. (1) At 7d. or any price not less than 73d. (2) 425 quarters. VII. (1) 776 (2) 300 gallons. 1035 VIII. (1) 10353-57100632. (2) 1,600. Female Candidates. I. (1) 3,192,630. (2) £5,986 0s. 8d. VII. (1) £4 14s. 2d. (2) £627 2s. 11⁄2d. VIII. (1) 13917507 230000000 or 0605109. (2) 27424. (3) (4) x 27x36x26xy + 24x-y3 — 4y2 — 8y — 8. (5) (1) x = 13. (2) (1 — 3a) (6) x = 505. Answers, 1871, 1872. 1871. ARITHMETIC. Male Candidates. 191 I. (1) Fourteen millions. (2) One thousand two II. (1) 191,112 inches. (2) £32,004 17s. 84d. V. (1) £6 178. (2) Engine, £3,000 9s. 3d. Tender, £1,000 3s. 1d. VI. (1) £7,462. (2) 3 lbs. at 3s. 6d. ; 4 lbs. at 2s. 4d. VII. (1) 239 (2) 92 miles. 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. I. II. (2) За 146 +8x - 16. (3) 35x3y2+ 2x2y2 - 40x3y + 32x2y — 24xy2. (5) (1) x = 7. (2) 1. (6) 24 miles per hour. 1872. ARITHMETIC. Male Candidates, 1872. (1) 156,009,595. (2) 781. (1) 4,555,378,620. (2) 19,103 farthings. III. (1) 2d. per mile. (2) 100 days. V. (1) £2 48. 10 d. (2) 81 lbs. VI. (1) £2 11s. 7 d. + 26. (2) 1812 yrs. VII. (1) 1942 (2) £75. (3) Diff. 1122 Arith., p. 124. See Wormell's VIII. (1) 100-615982. (2) 84. (3) 3·464. IX. (3) 1st No. 5904. 2nd No. 1476. 3rd No. =492. Female Candidates. I. (1) One million nineteen thousand nine hundred and eighty. II. (1) 1436,32. (2) 391. 95 III. (1) 68. 14d. + 1. (2) 69,665 farthings. V. (1) £3 19s. 11d. VI. (1) 88. 5d. (2) 13s. 6d. VII. (1). (2) Greatest, 22; least, 20 121 VIII. (1) First, £12 5s.; second, £6 2s. 6d.; third, £4 1s. 8d. (2) £6 5s. 71⁄2d. (3) 70. (3) 56x2y + 24xy1 + 46x3y2 — 32xy + 18x2y3 — 7x1y For complete worked answers see Huitt's "Answers to Scholarship Questions," 1873. Price 2s. I. (a) 756,030; (b) 655,226. Sum II. (1) £2,470 18s. 51d. (2) £275 58. 3 d. 1,411,256. 14. 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. V. (1) £3,936 9s. 24d. (2) £5 9s. 5137d. VI. (3) £8 3s. 11d. See Huitt's" Answers to Scholarship Questions," price 2s. VII. (1) 64121 (2) 1·791505. (3) £4 6s. 5·946d. 375 (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) 8s. IX. (1) 10s. 2·28d. (2) £851 1s. 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 3s. 3 d. (2) 77,777 ozs. IV. (1) £1925. (2) 570 francs. V. 1s. 3d., 1s. 9d., 4s. 74d., 4s. 9d., 3s. 64d., 1s. 6d., 2s. 74d. = £1. VI. (1) 1s. 3d. (2) £858. VII. (1) 61 (2) £21. VIII. (1) 919 times. (2) 16. (3) 90. IX. (1) 99,999 farthings. (4) a5 - 4a3b + 4a3b2 + 4a2b— 17ab4 - 12b5; and x2 ax + b2. |