Paper 2 - Subjective

PENANG FREE SCHOOL

MATHEMATICS ELECTIVES- ADDITIONAL MATHEMATICS

DAVID CHNG YEANG SOON.

Try the following Questions. The answers are provided at the end of the questions.

Topic 5 Moderate.

Name: ..

Class:..

1.Find the value for each of the following.

(a) log10 25(b) log25 10(c) log2 25

[10 marks]

2.Express each of the following in one single logarithm term.

(a) log9 2g + 1(b) log9 2g - 1

[6 marks]

3.Find the value for each of the following.

(a) log10 23(b) log23 10(c) log9 23

[10 marks]

4.Express each of the following in one single logarithm term.

(a) log3 n + 4(b) log3 n - 4

[6 marks]

5.Simplify the following expression.

(a) 4 5x + 1 + 2 10x + 1.(b) 4 5x + 1 2 10x + 1.

[6 marks]

6.Express each of the following in one single logarithm term.

(a) log2 2x + 9(b) log2 2x - 9

[6 marks]

7.Simplify the following expression.

(a) 343 4x + 1 + 7 12x + 1.(b) 343 4x + 1 7 12x + 1.

[6 marks]

8.Simplify the following expression.

(a) 216 6x + 1 + 6 18x + 1.(b) 216 6x + 1 6 18x + 1.

[6 marks]

9.Simplify the following expression.

(a) 100 2x + 1 + 10 4x + 1.(b) 100 2x + 1 10 4x + 1.

[6 marks]

10.Find the value for each of the following.

(a) log10 29(b) log29 10(c) log8 29

[10 marks]

11.Find the value for each of the following.

(a) log10 27(b) log27 10(c) log9 27

[10 marks]

12.Express each of the following in one single logarithm term.

(a) log6 2x + 1(b) log6 2x - 1

[6 marks]

13.Express each of the following in one single logarithm term.

(a) log8 3h + 2(b) log8 3h - 2

[6 marks]

14.Simplify the following expression.

(a) 25 5x + 1 + 5 10x + 1.(b) 25 5x + 1 5 10x + 1.

[6 marks]

15.Find the value for each of the following.

(a) log10 13(b) log13 10(c) log7 13

[10 marks]

16.Simplify the following expression.

(a) 16 8x + 1 + 2 32x + 1.(b) 16 8x + 1 2 32x + 1.

[6 marks]

17.Simplify the following expression.

(a) 9 2x + 1 + 3 4x + 1.(b) 9 2x + 1 3 4x + 1.

[6 marks]

18.Find the value for each of the following.

(a) log10 13(b) log13 10(c) log4 13

[10 marks]

19.Express each of the following in one single logarithm term.

(a) log5 2x + 1(b) log5 2x - 1

[6 marks]

20.Express each of the following in one single logarithm term.

(a) log4 3k + 2(b) log4 3k - 2

[6 marks]

Answers:1. (a) 1.3979(b) 0.7153(c) 4.64392. (a) log9 18g(b) log9 2g9

3. (a) 1.3617(b) 0.7344(c) 1.42704. (a) log3 81n(b) log3 n81

5. (a) 6(2 10x)(b) 2(2 10x)6. (a) log2 1024x(b) log2 x256

7. (a) 350(7 12x)(b) 336(7 12x)8. (a) 222(6 18x)(b) 210(6 18x)9. (a) 110(10 4x)(b) 90(10 4x)10. (a) 1.4624(b) 0.6838(c) 1.619311. (a) 1.4314(b) 0.6986(c) 1.500012. (a) log6 12x(b) log6 x3

13. (a) log8 192h(b) log8 3h64

14. (a) 30(5 10x)(b) 20(5 10x)15. (a) 1.1139(b) 0.8977(c) 1.318116. (a) 18(2 32x)(b) 14(2 32x)17. (a) 12(3 4x)(b) 6(3 4x)18. (a) 1.1139(b) 0.8977(c) 1.850219. (a) log5 10x(b) log5 2x5

20. (a) log4 48k(b) log4 3k16