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 2 Moderate.

Name: ..

Class:..

1.Solve the quadratic equation x(12 - x) = 36.

[5 marks]

2.Form a quadratic equation with equal roots of 3.

[5 marks]

3.Solve the quadratic equation 3x2 = 11x + 1.

[5 marks]

4.Solve the quadratic equation x(x + 11) = (x + 5)(2 - x).

[5 marks]

5.Solve the quadratic equation 3x2 = 12x + 2.

[5 marks]

6.Solve the quadratic equation 4x2 = 15x - 1.

[5 marks]

7.Form a quadratic equation which has the roots

1

and 5.

[5 marks]

5

8.Form a quadratic equation which has the roots

1

and 3.

[5 marks]

5

9.Solve the quadratic equation x(x + 11) = (x + 4)(2 - x).

[5 marks]

10.Solve the quadratic equation x(x + 8) = (x + 4)(1 - x).

[5 marks]

11.Solve the quadratic equation 2x2 = 12x - 1.

[5 marks]

12.Form a quadratic equation with equal roots of 8.

[5 marks]

13.Solve the quadratic equation x(22 - x) = 121.

[5 marks]

14.Form a quadratic equation with equal roots of -7.

[5 marks]

15.Solve the quadratic equation x(x + 11) = (x + 5)(1 - x).

[5 marks]

16.Solve the quadratic equation x(26 - x) = 169.

[5 marks]

17.Solve the quadratic equation x(28 - x) = 196.

[5 marks]

18.Form a quadratic equation which has the roots

3

and 7.

[5 marks]

4

19.Form a quadratic equation which has the roots

3

and -7.

[5 marks]

5

20.Form a quadratic equation with equal roots of 9.

[5 marks]

Answers:1. x = 6 (equal roots)2. x2 - 6x + 9 = 03. x = 3.755, x = -0.0894. x = 0.653, x= -7.6535. x = 4.16, x = -0.166. x = 3.682, x = 0.0687. 5x2 - 26x + 5 = 08. 5x2 - 16x + 3 = 09. x = 0.566, x= -7.06610. x = 0.342, x= -5.84211. x = 5.915, x = 0.08512. x2 - 16x + 64 = 013. x = 11 (equal roots)14. x2 + 14x + 49 = 015. x = 0.32, x= -7.8216. x = 13 (equal roots)17. x = 14 (equal roots)18. 4x2 - 31x + 21 = 019. 5x2 + 32x - 21 = 020. x2 - 18x + 81 = 0