Further Mathematics 2010 Waec Past Questions and Answers

Question 11 :

• WAEC 2010

For what values of x is \(\frac{x^{2} - 9x + 18}{x^{2} + 2x - 35}\) undefined?

A. 6 or 3
B. -18 or -9
C. -7 or 5
D. -5 or 7

Question 12 :

• WAEC 2010

Calculate, correct to one decimal place, the length of the line joining points X(3, 5) and Y(5, 1).

A. 4.0
B. 4.2
C. 4.5
D. 5.0

Question 13 :

• WAEC 2010

If \(y = 2(2x + \sqrt{x})^{2}\), find \(\frac{\mathrm d y}{\mathrm d x}\).

A. \(2\sqrt{x}(2x + \sqrt{2})\)
B. \(4(2x + \sqrt{x})(2 + \frac{1}{2\sqrt{x}})\)
C. \(4(2x + \sqrt{x})(2 + \sqrt{x})\)
D. \(8(2x + \sqrt{x})(2 + \sqrt{x})\)

Question 14 :

• WAEC 2010

Calculate, correct to one decimal place, the acute angle between the lines 3x - 4y + 5 = 0 and 2x + 3y - 1 = 0.

A. 70.6°
B. 50.2°
C. 39.8°
D. 19.4°

Question 15 :

• WAEC 2010

Evaluate \(\int_{1}^{2} \frac{4}{x^{3}} \mathrm {d} x\)

A. \(-1\frac{1}{2}\)
B. \(-\frac{15}{16}\)
C. \(\frac{15}{16}\)
D. \(1\frac{1}{2}\)