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ALGEBRA.

6. (a + 2)* + 2a*b*=a* +66+4 { ab (a + 0);}

7. 46 (a + y); 2 y +1.

2(a + 2) 8.

4

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

469 10. (a + b)3 -(a3 - 78) = 3ab (a +b).

MENSURATION.

13. 1.2 in.; 1 in. 14. 39.19 + sq. yds.

1883.

ARITHMETIC.

Males.

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

3.

4. £1 12s. 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 6s. 8d. 14. A's, £202 38. 0,4 d.; B's, £1,361 10s 1.l.;

C's, £1,503 98. 1039d. 15. £32 58. 8,247d.

Females. 1. £283 78. 5d.

2. 539, 561. 3. 230 tons 3 cwt. 1 qr. 12 ozs. 4. £6 68. 7d.; £3 38. 31d. 5. £51 138. 84d. 6. £2 13s. 6$d. 7. £184 78. 8d.

8. £1 88. 3d. 9. £16 108. 6 d. 10. £5 58. gain. 11. £4 28. 8d.

12. 32, 338, 39%; 15,1. 13. 58. 14d.

14. £4 18. 15. £279.

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

ALGEBRA.

7. (:2 + 1) (x + 1) (x - 1); (x + 3) (2 - 4). 8. 202 + 2x — 3. 9. 2711; 96, 72. 10. 22 – 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., 2s. 6d., 18. 3d., and d. 2. 9. 3. 82 yards. 4. £26 58. 5. £1,552 38. 3d. 6. 15. 7. £1 0s. 3d. ; 1.0125. 8. £419,298 58. 9. 8 years. 10. 27.7274 feet. 11, 77.676 + inches.

12. £315.
13. 360 feet.
14. 50s. per gallon.
15. 1011

Females,

1. £72 3s. O 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 5s. 13d.
5. 60 days.

6. £1 19s. 9d. + 10s. 3 d. + 168. 31d. + 6s. 13d. + 2s. 10d. £3 58. 4d. ; £1 178. 4d.

7. £502. 8. £134 78. 2 d., £115 38. 4d., £95 198. 5jd. 9. 40 days. 10. Each is equal to 1}. 11. £32,625 88.71d. 12. 3s. 04d., 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 0s. 7}d.

ALGEBRA. 7. (x + 5) (x - 2); (a + 1) (3 - 1) (2 - x + 1) (22+ x + 1); (3x + 7) (3x − 2); ab + bc + ac — ao — 6 3

(a - b) (6-c) C-a) 8. 7 — 1;

a4+6a?b%+64

4ab (a + 19) 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.

13. 50 feet.

Butler & Tanner, The Selwood Printing Works, Frome, and London.

THE PUBLICATIONS OF

Messrs. MOFFATT & PAIGE.

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20 Lessons Do. do.

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4

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