Waec Further Mathematics Past Questions and Answers

Question 286:

• WAEC 2006

The roots of the equation \(2x^{2} + kx + 5 = 0\) are \(\alpha\) and \(\beta\), where k is a constant. If \(\alpha^{2} + \beta^{2} = -1\), find the values of k.

A. \(\pm 16\)
B. \(\pm 8\)
C. \(\pm 4\)
D. \(\pm 2\)

Question 287:

• WAEC 2008

Given that \(f '(x) = 3x^{2} - 6x + 1\) and f(3) = 5, find f(x).

A. \(f(x) = x^{3} - 3x^{2} + x + 20\)
B. \(f(x) = x^{3} - 3x^{2} + x + 31\)
C. \(f(x) = x^{3} - 3x^{2} + x + 2\)
D. \(f(x) = x^{3} - 3x^{2} + x - 13\)

Question 288:

• WAEC 2006

Find the sum of the exponential series \(96 + 24 + 6 +...\)

A. 144
B. 128
C. 72
D. 64

Question 289:

• WAEC 2008

Express \(\frac{1}{1 - \sin 45°}\) in surd form.

A. \(2 + \sqrt{2}\)
B. \(2 + \sqrt{3}\)
C. \(2 - \sqrt{2}\)
D. \(1 + 2\sqrt{2}\)

Question 290:

• WAEC 2006

Evaluate \(\log_{0.25} 8\)

A. \(\frac{3}{2}\)
B. \(\frac{2}{3}\)
C. \(-\frac{2}{3}\)
D. \(-\frac{3}{2}\)