1875.

ARITHMETIC.

Males.

I. (1) 169,872. (2) (a) 130,013, (b) 13,131,313;
Quotient, 101; Difference, 13,001,300.

II. (1) £3011 5s. (2) A had £1 more than B.

£ s. d.

£ 8. d.

(3) 30 3 0 and 100 00

III. (1) 7 dwts. 12 grs.

(2) £2171 158. annual expenditure.

Spent daily, £5 198.

(3) Each proprietor has 52 ac. 2 r. 10 p. IV. (1) £478,478. (2) 15s. 3d. (3) £99,711.

V. (1) Length, 360 ft. 11 in. (2) £2,560. (3) 18. 3d. VI. (1) £4 58. 6d. (2) £6,704 15s. 2 d. (3) 64 per cent. VII. (1) 47. (2) As 40: 41. (3) 52 days; .

80

VIII. (1) 3571428. (2) 7,920 paces. (3) 47,620 guineas. IX. (1) 168 francs. (2) 56,270 square yards.

(3) Difference, 15 708 metres.

Females.

I. (1) Sum 5,315,343; difference, 4,981,200: quotient, 14,438.35

II. (1) 360,555,642. (2) 45,067.

III. (1) 5 days 20 hrs. 28 min. (2) 48,592 oz.
IV. (1) and 7. (2) 115811.

V. (1) 10s. 3.24975036d.

30240

(2) 338-0483870967741935.

VI. (1) . (2) 6s. 339d. VII. (1) £16 13s. 1d.

£174 18s. 101d. VIII. (1) £750. (2) £6.

(2) £137 98. 11d. and

IV. (1) 1. 2x2 + 3xy — y2. 2. 5773.

4.∞ =

la or-2a.

MENSURATION.

V. (1) 10 ac. 6 p. 18 sq. yds. 4 sq. ft. 72 sq. (2) 24:49. (3) 26 ft.

in.

1876.

ARITHMETIC.

Males.

I. (1) 1,223,851,035. (2) 2,007,095. (3) Each

II.

III.

IV.

man's share =

£7 12s. 74d. Each woman's

share £15 5s. 2 d.

(1) 180 turns. (2) 1760 packets. (3) £51 17s. 11d.
(1) £3 11s. 6d. (2) 28,267. (3) £7 10s.
(1) £15 14s. 9 d. (2) £17 3s. 4d.

(3) £215 1s. 44d.

V. (1) 195; 2016. (2) £28. (3) 1000 days.

VI.

VII.

VIII.

81

(2) 30 days; or 5 weeks. (3) £49. 253 The first field at £1213 per rd. is the highest priced field.

(3) 5.52 in quantity; £1.96 in value.

(1) £636 2s. 6d. +. (2) £1,200. (3) £50 88.

IX. (1) 18. 104d. (2) £7 18. 8d.

X. (1) 24.5 in. (2) 761. (3) £1.

(3) For Demonstration, see Moffatt's Scholarship Answers, 1876, price 28.

VII. (1) (a) x = 8. (b) x (3) x 2, or-1.

VIII. (1) Breadth

=

7. (2) x = 5; y

75 yds. Length 125 yds.

= 4.

(2) For Demonstration, see Moffatt's Scholarship Answers, 1876, price 28.

(3) £1 38. 9d.

I. (1) Sum 31,188,806. Difference

Quotient 350,790.

II. (1) 3,095. (2) 82,962,600.

III. (1) A £4 28. 6d.; B £3 18. 10d.; C £2 38. 3 d.

(2) 777,777.

IV. (1) £619 168. (2) £33 38. 3 d.

V. (1) £11 28. 24d. (2) £980 28.

VI. (1) Ratio 5: 7. (2) 28. 6d. (3) 25.38 metres. VII. (1) 999. (2) 832.

VIII. (1) 11. (2) £1.

IX.

58,070. (2) Tea costs 18. 3d. Coffee costs 18. Sugar costs 9d. (3) For notes of lessons on Subtraction, see Moffatt's Scholarship Answers, 1876, price 28., or Livesey's "How to teach Arithmetic," price 28. 6d.

Answers, 1877.

241

1877.

ARITHMETIC.

Males.

= con

I. (1) a. 30,000,095,070,005; b. MDCCCCLXXXVIII.
c. 80 times; d. (i.) 4,548,286,386
tinued product; (ii.) 133,722
(iii.) 34,013 answer.

=

difference;

II. (1) 60 threepennies. (2) £4 1s. 3d. (3) 22. III. (1) £7,839 8s. 9d.

IV. (1) £66 6s. 6d. (2) £4,241 7s. 9d.

1222857

V. (1) £341. (2) £29. (3) 5392,105056 miles. VI. (1) See Moffatt's Scholarship Answers, 1877.

(2) a 20, b 187, c See Moffatt's Scholarship Answers, 1877. (3) 266-86 guineas. VII. (1) a. (i.) 09. (ii.) 7·8125. (iii.) ·i. (iv.) 21153846. b. (i.) See Moffatt's Scholarship Answers, 1877, 2s.

(2) £257 2s. 2 d. (3) 2·075.

VIII. (1) 4 per cent. at 118 is the most profitable investment. Yearly income is £176 17s. 6d. (2) £29407. (3) £2,700.

800

IX. (1) a. 5·7196. b. 98. c. See Moffatt's Scholarship Answers, 1877, 2s.

(2) 58,905 florins.

X. (1) £217 16s. (2) 1d.

ALGEBRA.

V. (a) 22. (b) b + 2c. (c) (1a) (1) (1c)

(1 − d). (d) x + ·

12a2

VI. (1) (a) (5x+a)3°

(b) See Moffatt's Scholarship Answers, 1877,

3.x - 7y1.

3x+4y

(3) (a) See Moffatt's Scholarship Answers, 1877,

28.

(b) Ditto.

R

VII. (1) ≈ = 16. (2) ≈ = 27/2 or 196

(3) x = √a2 + b2.

VIII. (1) (a) 5.

=

y ✔ab.

25

(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 0s. 101d.

£3 1s. 54d.

£56 18. 14d.

V. (1) £58 18s. 6d. (2) £11,620.

VI. (1) £15 17s. 10zd. (2) 70 yards. £18 78. 6d. VII. (1) A's share £6, B's share £4 10s. (2) 1s. 01d. VIII. (1) See Moffatt's Scholarship Answers, 1877, 28. (2) a. 2.865324. b. 00004096.

IX. (1) 33 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 0s. 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.