Waec Further Mathematics 2008 Past Questions and Answers

Question 21:

• 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 22:

• 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 23:

• WAEC 2008

If \(\begin{vmatrix} 4 & x \\ 5 & 3 \end{vmatrix} = 32\), find the value of x.

A. 4
B. 2
C. -2
D. -4

Question 24:

• WAEC 2008

If events A and B are independent and \(P(A) = \frac{7}{12}\) and \(P(A \cap B) = \frac{1}{4}\), find P(B).

A. \(\frac{3}{7}\)
B. \(\frac{4}{7}\)
C. \(\frac{5}{7}\)
D. \(\frac{6}{7}\)

Question 25:

• WAEC 2008

Given that \(\overrightarrow{AB} = 5i + 3j\) and \(\overrightarrow{AC} = 2i + 5j\), find \(\overrightarrow{BC}\).

A. -7i - 8j
B. -3i + 2j
C. 3i - 2j
D. 3i + 8j