1874.

ARITHMETIC.

Males.

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) £51716s. 6d. (3) £138 9s. 9d. III. (1) 8 ft. (2) 130511 (3) 4 lb. 8 oz.

IV. (1) £34503 9s. 41⁄2d. (2) £5 4s. 0,3d.

V.

(3) £71 12s. 9d.

(1) 728. (2) £55. (3) 12 months.

VI. (1) £515 10s. 511d. (2) £825, £450, 20 per cent. (3) 511 per cent. gain.

37

VII. (1) £7000. (2) 491 and 13451. (3) 5.

VIII. (1) £6177 10s. (2) 2. (3) £257 28. 7·877d. IX. (1) 5 acres. (2) 15246 kilograms. (3) 10633-68 inches.

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. 41⁄2d.

VII. (1) 1. (2) 1 cwt. 1 qr. 1 lb. 1 oz.

VIII. (1) 25. (2) £85. (3) 70·07.

IX. (1) £59070 138. 8d. (2) 1771.

ALGEBRA AND MENSURATION.

(1) 56 — 5c.

(2) 2a5- 5ab10a2b3-10ab4 + 365 and x1 — x2y2y*.

(3) x + 3.

3. x1 =

+

4. x = 2.

4

2

I. (1) 169,872.

1875.

ARITHMETIC.

Males.

(2) (a) 130,013, (b) 13,131,313; Quotient, 101; Difference, 13,001,300. (2) A had £1 more than B.

II. (1) £3011 5s.

III. (1) 7 dwts. 12 grs.

(2) £2171 15s. annual expenditure.

Spent daily, £5 19s.
Saved

39

£1 88.

(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. 114 in. (2) £2,560. (3) 18. 3d. VI. (1) £4 58. 6d. (2) £6,704 15s. 2 d. (3) 64 per cent. VII. (1) 17. (2) As 40 : 41. (3) 521 days; }. 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, 14,438,945.

90

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

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

IV. (1)

and 7050. (2) 115511.

V. (1) 10s. 3·24975036d.

30240

(2) 338-0483870967741935. VI. (1) . (2) 6s. 333d. VII. (1) £16 13s. 1d.

£174 188. 101d. VIII. (1) £750. (2) £6.

(2) £137 98. 11d. and

ALGEBRA,

III. (2) 8a5 - 4a1b 2a3b2 — 4a2b3 + 2ab1 — 1b5;

a2-2ax + bx — x2.

(3) a + b; ab2 — a2b6.

IV. (1) 1. 2x2 + 3xy — y2. 2. ·5773.

(2) 1. x = 2. 2. x = aor

a

√5

a+b

MENSURATION.

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

1876.

ARITHMETIC.

Males.

I. (1) 1,223,851,035. (2) 2,007,095. (3) Each man's share = £7 12s. 74d. Each woman's share= £15 5s. 2 d.

II. (1) 180 turns. (2) 1760 packets. (3) £51 178.11d. III. (1) £3 11s. 6d. (2) 28,267. (3) £7 10s. IV. (1) £15 14s. 91d. (2) £17 3s. 4d.

(3) £215 18. 44d.

253

V. (1) 195; 2016. (2) £28. (3) 1000 days. VI. (1) 81 (2) 30 days; or 5 weeks. (3) £49. The first field at £1213 per rd. is the highest priced field.

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

=

£770; B's

=

(2) A's
(3) 5.52 in quantity; £1.96 in value.

£8,470; D's = £2,500.

VIII. (1) £636 2s. 6d. +.

(2) £1,200. (3) £50 8s.

IX. (1) 18. 104d. (2) £7 18. 8d.
X. (1) 24.5 in. (2) 76. (3) £1.

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

VII. (1) (a) x = 8. (b) x = 7. (2) x = 5;

(3) x = 16.

VIII. (1) Breadth

; y 4.

=

=

75 yds. Length

=

125 yds.

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

(3) £1 3s. 9d.

MENSURATION.

IX. (1) 1364 turfs, or 1363-8384. (2) £121. (3) 45 children.

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

III. (1) A £4 2s. 6d.; B £3 1s. 10d.; C £2 3s. 33d.

(2) 777,777.

IV. (1) £619 16s. (2) £33 3s. 3 d.

V. (1) £11 2s. 24d. (2) £980 2s.

VI. (1) Ratio 5: 7. (2) 2s. 6d. (3) 25.38 metres. VII. (1) 99-9. (2) 832.

VIII. (1) 11. (2) £1.

IX. (1) 58,070. (2) Tea costs 1s. 3d. Coffee costs 1s. 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 2s. 6d.

1877.

ARITHMETIC.

Males.

I. (1) a. 30.000,095,070,005; b. MDCCCCLXXXVIII.
c. 80 times; d. (i.) 4,548,286,386

= con-

tinued 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.

105056 miles.

IV. (1) £66 6s. 6d. (2) £4,241 78. 9d.
V. (1) £341. (2) £29. (3) 53921222857
VI. (1) See Moffatt's Scholarship Answers, 1877.
(2) a 20, b 137, c See Moffatt's Scholar-
ship Answers, 1877. (3) 266.86 guineas.
(iii.) ·1. (iv.)

VII. (1) a. (i.) 09. (ii.) 7·8125.

21153846. b. (i.) See Moffatt's Scholarship
Answers, 1877, 28.

(2) £257 28. 21 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.

IX. (1) a. 57196. b. 98. c. See Moffatt's Scholar-
ship Answers, 1877, 2s.

(2) 58,905 florins.

X. (1) £217 16s. (2) 1d.

ALGEBRA.

-

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

12a2
(5x+a)3

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

28.

3x+4y
+ 4y 2

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

28.

(b) Ditto.