1876.

ARITHMETIC.

Males.

I. (1) 1,223,851,035. (2) 2,007,095. (3) Each £7 128. 74d. Each woman's £15 58. 2 d.

III.

man's share =

share =

II. (1) 180 turns. (2) 1,760 packets. (3) £51 17s. 11d. (1) £3 11s. 6d. (2) 28,267. (3) £7 10s. (1) £80,244 68. 73d. (2) £102 5s. 43d. (3) £215 1s. 44d.

IV.

V.

VI.

(1)

81

(3) £49.

(1) 195; 2016. (2) £28. (3) 1000 days.
(2) 30 days; or 5 weeks.
The first field at £1213 per rd. is the high-
est priced field.

VII. (1) 005; 300,000; 5.

VIII.

IX.

X.

(2) A's

=

=

£770; B's £8,470; D's = £2,500. (3) 5.52 in quantity; £1.96 in value.

(1) £636 28. 118d. (2) £1,200. (3) £50 88.
(1) 1s. 10 d. (2) £7 18. 8d.

(1) 24.5 in. (2) 76. (3) £1.

ALGEBRA.

Males.

V. (1) 18, 6, 13, 0, 4. (2) æ3 – 2x1 – 22x3 – 7æ2 - 42x

(1) Breadth 75 yds. Length = 125 yds.
(3) £1 3s. 9d.

IX.

MENSURATION.

(1) 1,364 turfs, or 1363-8384. (2) £121. (3) 195. 45 children.

ARITHMETIC.

Females.

I. (1) Sum = 31,188,806. Difference = 30,518,730,

=

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 3s. 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. (1) 58,070. (2) Tea costs 18. 3d. Coffee costs 18. Sugar costs 9d. (3) For notes of lessons

on Subtraction, see Livesey's "How to teach Arithmetic,” price 2s. 6d.

1877.

ARITHMETIC.

Males.

=

I. (1) a. 30,000,095,070,005; b. MDCCCCLXXXVIII. c. 80 times; d. (i.) 4,548,286,386 Continued Product; (ii.) 133,722 = Difference; (iii.) 34,013 Answer.

II. (1) 60 threepennies. (2) £4 1s. 3d. (3) 22. III. (1) £7,839 88. 9d.

IV. (1) £66 68. 6d. (2) £4,241 78. 9d.

1222857

V. (1) £341. (2) £29. (3) 5392 105056 miles.
VI. (2) a
20, b 137. (3) £301.

6579

VII. (1) a. (i.) 09. (ii.) 7·8125. (iii.) ·İ. (iv.)

*21153846.

(2) £257 2s. 2 d. (3) 2.075.

(1) 4 per cent. at 118 is the most profitable
investment. Yearly income is £176 17s. 6d.
(2) 66 per cent. (per annum). (3) £2,700.
(1) a. 5.7196. b. 98.

VIII.

IX.

V. (a) 22. (b) b. (c) (1—a) (1—b) (1—c) (1-d).

(3) x = √ a2+b2. y = √ ab.

3/196

VIII. (1) (a) 5. (b) Ratio of half-sovereigns to sixpences (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.

V. (1) £58 18s. 6d. (2) £11,620.

VI. (1) £15 178. 10zd.

(2) 70 yards.

VII. (1) A's share £6, B's share £4 10s.
VIII. (2) a. 2.865324. b. 00004096.
IX. (1) 333 per cent. (3) mile.

£18 7s. 6d.

(2) 18. 01⁄2d.

I.

1878.

ARITHMETIC.

Males.

(a) 10. (b) 3996. (c) 75,380 min. II. (1) 12,680 rupees. (2) £10,166 13s. 4d.

III.

(3) £4,556.

(a) £133,182 0s. 103d. (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) £25,800,000.

547

VI. (1) (a) 1. (b) 15638. (2) 5, 20 and 11. (3) £60. VII. (1) 75, 00002, and 54,300. (2) As 1 : 2621449 and £25 12s. (3) Loss £734491.

117649

VIII. (1) £98 6s. 8d. (2) 5s. (3) £5, namely from 93

to 88.

IX. (1) 58.2 inches.

(2) 9 yds. the first, and 36 yds.

the third. (3) £2.

X. (1) £612 38. and

£255 1s. 3d. (2) £912 10s.

V.

ALGEBRA.

(a) 110. (b) 70,707,070. (c) 2(a+b+c).
(e) x-x4y2-43y3+4y6.

VI. (1) (∞ + 7) (No — 3); (4x2 — 3y2) (3x2 + 5y2); and (a2+ab+b2) (a2—ab+b2). (2) 1.

VIII. (1) 768. (2) 649 ft. and 10,70 ft.

MENSURATION.

IX. (1) 32,900 sq. yds. (2) 235-61925 sq. ft.

I.

II.

III.

IV.

87 tons 16 cwt. 3 qrs. 25 lbs. 13 oz. 449 drs. £14 178. 5 d.

£8,095 48. 24d.

V. (1) £1225; £8 15s.

(2) £177 18s. 117d.

VI. (1) £7 14s. 41d. (2) 30 men. 22 (2) 451.

VII. (1), 3, 18, 13, 23.

IX. (1) £21 3s. 6d. (2) £59 1s. 3d.