Page images
PDF
EPUB
[blocks in formation]

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 3 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 £206 108. per share are equivalent to 708 railway shares at £136 108. 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 9 d.; what part of the whole cost in wages (£2094 158.) should be assigned to each of the two parties of workmen ?

2. How much silver at 38. 9d. per oz. should be exchanged for a bar of gold weighing 31 lb. 3 oz., if 15 oz. of gold cost £79 8s. 98. ?

SECTION VII. 1. Subtract (of 33 of 73) from (7} of 5of ), and divide the remainder by (5 of 13).

2. What fraction of £11 78. 6d. is equivalent to get of £15 68. ?

SECTION VIII. 1. Express in vulgar fractions .04, •004 and .0004. Find the average of 8:13, 9:195, 7•007, 3.668, and reduce £1 78. 9 d. to the decimal of 7 d.

2. How many times is 29.75 of 14 pole contained in 4.25 of 3 acres ?

SECTION IX. 1. What capital would obtain £84 78.51d. in 2 years and 5 months at 3} per cent. ?

2. What would be the difference between the simple and compound interest of £9902 138. 4d. for 25 years at 3} per cent. ?

ANSWERS TO SCHOLARSHIP QUESTIONS.

5 4008

1870.
ARITHMETIC.

Male Candidates.
I. (1) 1,640,084. (2) 1242687.
II. (1) 57,291 farthings. (2) 19109 years.
III. (1) 216,000 times. (2) £1 88.
IV. (1) £62 12s. 17d. (2) £5 2s. 9 d.

V. (1) Change £1 18s. 9d. (2) £838.
VI. (1) At 7 d. or any price not less than 7d.

(2) 425 quarters.

(1) (2) 300 gallons. VIII. (1) 10353.57100632. (2) 1,600.

VII. (1) 1035

Female Candidates.
I. (1) 3,192,630.
II. (1) £37 128. 8 d. (2) £5,986 (s. 8d.
III. (1) £969 78. 11 d. (2) £3 10s. 1}d.
IV. (1) £214. (2) 1274 half guineas.

V. (1) 5s. 6d. per oz. (2) 750 persons.
VI. (1) £100. (2) 4 greatest; i least.
VII. (1) £4 148. 2d. (2) £627 28. 1 d.
VIII. (1) 23004790% or 0605109. (2) 27424.

_13

ALGEBRA. (1) 1123

5x + 4y. (2) 2x + 6a + 136 – 70 – 13. (3) 2723 — 36002 + 6xy + 24. — 73 — 4y2 — By – 8. (4) 3 2; 2C — a. (5) (1) x= 13. (2) (1 - 3a)

36 (6) = 505.

a

Answers, 1871, 1872.

191

[ocr errors]

1871.
ARITHMETIC.

Male Candidates.
I. (1) Fourteen millions. (2) One thousand two

hundred and seventy-five.
II. (1) 191,112 inches. (2) £32,004 178. 84d.
III. (1) 5 hrs. 9 m. 101 sec. (2) £1 4s.
IV. (1) £20 168. 84d. (2) 38. 9d.
V. (1) £6 17s. (2) Engine, £3,000 98. 3d. Tender,

£1,000 3s. 1d.
VI. (1) £7,462. (2) 3 lbs. at 3s. 6d. ; 4 lbs. at 2s. 4d.
VII. (1) 2,80 (2) 92 miles.
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. 91d. (2) £3 58. 104d.
IV. (1) £2 7s. 7 d. (2) £16 138. 4d.

V. (1) £88 11s. 3d. (2) 7 days.
VI. (1) the greatest, and the least. (2) £9.
VII. (1) 553836 oz. (2) £41 16s. 8:7048d.
VIII. (1) .049. (2) *046875.

22

23
48

(2) 3a

ALGEBRA.
(1) 21ax 2by 3y2 + 7ax2 + 5.

14b + 8x - 16.
(3) 35x*y* + 20°y* — 40x3y + 32.cy - 24xy?.
(4) (a) x2 + y2 (6) — 2 —

- qb.
(5) (1) a=7. (2) 1.
(6) 24 miles per hour.

1872.
ARITHMETIC.

Male Candidates, 1872.
I. (1) 156,009,595. (2) 7814.
II. (1) 4,555,378,620. (2) 19,103 farthings.

(3) 7968 tons 8 cwt. 1 qr. 3 lbs.
III. (1) 2 d. per mile. (2) 100 days.
IV. (1) £29 148. 6 d. (2) £306 3s. 9d.

42

V. (1) £2 4s. 10 d. (2) 81 lbs.
VI. (1) £2 11s. 7 d. + -26. (2) 1810 yrs.
VII. (1) 1049

4 (2) £75. (3) Diff. 1. See Wormell's

Arith., p. 124. VIII. (1) 100·615982. (2) 84. (3) 3.464. IX. (3) 1st No.= 5904. 2nd No.= 1476. 3rd No.

= 492.

957

Female Candidates.
I. (1) One million nineteen thousand nine hundred

and eighty.
II. (1) 1436,33 (2) 397
III. (1) 6s. 13d. + ](2) 69,665 farthings.
IV. (1) £1,593 98. ild. (2) £2 178. 9d.

V. (1) £3 198. 11d.
VI. (1) 8s. 5.d. (2) 13s. 6d.
VII. (1) k. (2) Greatest, 20; least, 2010
VIII. (1) First, £12 58.; second, £6 28. 6d.; third,

£4 18. 8d. (2) £6 58. 7 d. (3) 70.

2

[ocr errors]

ALGEBRA. (1) – xy 3aya + 3by + ax2 — 5y2. (2) За. - 17x

3y 36. (3) 56xʻy + 24xy4 + 46x@y2 — 32xy + 18.x2y3 — 7xy

-- 24c?y3 - 3.cy (4) x3 + 2x2y + 4xy2 + 8y'; and ax 2by. (5) (1) x= 7. (2) x = d (6) 36 minutes.

1873.

ARITHMETIC.

Male Candidates. For complete worked answers see Huitt's “ Answers to Scholar

ship Questions," 1873. Price 2s. I. (a) 756,030; (6) 655,226. Sum 1,411,256.

Difference 100,804. Quotient = 14. II. (1) £2,470 18s. 5 d. (2) £275 58. 3 d. III. (1) £12 18. ld. (2) 16,399 half-crowns, 64;

guineas.

[blocks in formation]

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 98. 24d. (2) £5 98. 5137d.

(3) £8 38. 11d. VI. See Huitt's “ Answers to Scholarship Ques

tions,” price 2s. VII. (1) 64375 (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 bas run 16% miles, and the

other 23; miles. (3) 8s. IX. (1) 10s. 2.28d. (2) £851 18.3. (3) 198 yards.

Female Candidates.
I. (1) Nine millions ninety thousand nine hundred

and nine.
II. (1) 37:75. (2) 97,533,579.
III. (1) £333 3s. 3 d. (2) 77,777 ozs.
IV. (1) £1925. (2) 570 francs.
V. ls. 3d., ls. 98., 48. 7£d., 48. 9d., 3s. 6 d., 1s. 6d.,

2s. 7 d. = £1.
VI. (1) 1s. 3d. (2) £858.
VII. (1) 6 (2) £21.
VIII. (1) 919 times. (2) 16. (3) 90.

IX. (1) 99,999 farthings.

6

ALGEBRA.
(1) 3x3 + 44x’y — 38xy2 + 19y?.
(2) 10ab 5cd – 15ac + 11bd.
(3) a 117649; and ac2 + 3.
(4) a5 – 4a4b + 4a2b2 + 4a2b — 17al4 – 1265;
and 2

- ax + 22.
(5) (a) x=21. (b) x = 10.
(6) 10.1 miles.

« PreviousContinue »