ALGEBRA.

6. (a +3)* + 2a?bo=a* + 6 + 4{ab (a + 2)2}

7. 46 (a + y); x - y +1.

a(a + 2) 8.

4

199 9. (1) (2) x=9, y = -3. (3) 10, or -11.

469 10. (a + b) (a3 - 03) = 3ab (a + b).

MENSURATION. 13. 1.2 in.; 1 in. 14. 39:19 + sq. yds.

1883.

ARITHMETIO.

Males.

1. (6) 48. 2. 16d.

3. 34

31
64

4. £í 128. 1d. 5. •4. 6. £280. 7. £10,000. 8. £1,200. 9. 299:7; 25. 10. 1.1. 11. 96 feet; £28 16s. 12. 7 per cent. ; 18. 9d. 13. £33 68. 8d. 14. A's, £202 38.0 d.; B's, £1,361 10s 111.;

C's, £1,503 98. 102d. 15. £32 58. 8,27d.

Females. 1. £283 78. 5d.

2. 539, 561. 3. 230 tons 3 cwt. 1 qr. 12 ozs. 4. £6 6s. 7}d.; £3 38. 3 d. 5. £51 138. 84d. 6. £2 13s. 64d. 7. £184 78. 8d.

8. £1 8s. 3d. 9. £16 108. 6 d.

10. £5 58. gain. 11. £4 28. 8d.

12.

22, 355, 333; 15, 13. 58. 14d.

14. £4 ls. 15. £279.

16. 1 lb. 5 oz. 14 dwt. 91. gr. 17. £174 198. 8761d.

ALGEBRA.

7. (22 + 1) (x + 1) (x - 1); (a + 3) (2 - 4). 8. 202 + 20 – 3. 9. 2711; 96, 72. 10. ac3. 9=0; a=48; 29), or 12. 11. 73 threepenny and 97 fourpenny pieces.

MENSURATION. 12. 42,075. 13. 1,352 feet; 685,464 sq. ft.

1884.

ARITHMETIC.

Males. 1. (c) The parts are: 108., 28. 6d., 18. 3d., and id. 2. 9. 3. 82 yards. 4. £26 58. 5. £1,552 38. 3d. 6. 15. 7. £1 0s. 3d.; 1.0125. 8. £419,298 5s.

12. £315.
13. 360 feet.
14. 50s. per gallon.
15. 1013

Females.

1. £72 3s. 04 d.; £72,946 16s. 24d. 2. 6 ac. 2 r. 39 per.; 2 r. 3

per. 3. 26 tons 17 cwt. 2 qrs. 24 lb. 4. £2 58. 13d. 5. 60 days.

6. £1 19s. 9d. + 10s. 3 d. + 168. 3 d. + 6s. 12d. + 2s. 10d. £3 58. 4d. ; £1 178. 4d.

7. £502. 8. £134 78. 2 d., £115 3s. 4d., £95 198. 5jd. 9. 40 days. 10. Each is equal to 13. 11. £32,625 88. 7d. 12. 38. 01d., 38., 38. 2}d.

13. Profits per cwt. 128. 10d. and 11s. 8d. Profits per cent., 24 and 25.

14. Loss in capital, £141 58. Gain in income, £1 08. 7}d.

ALGEBRA

7. (x + 5) (a — 2); (a + 1) (x - 1) (-232 - x + 1) (a? +

ab + bc + ac – a? — 62. x + 1); (3x + 7) (3x - 2);

(a - b) (6-c)

c-a)
a'+6a26+64
8. 7 – 1;

4ab (az + 12)
9. (i) a = 13; (ii) x = 11, y = 7.
10. x=283, or 7.
11. 1,000 yards.

MENSURATION. 12. Area of square is represented by 9, area of triangle is represented by 20, which is greater than 4.

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