Waec Further Mathematics 2011 Past Questions and Answers

Question 41:

• WAEC 2011

Find, correct to two decimal places, the acute angle between \(p = \begin{pmatrix} 13 \\ 14 \end{pmatrix}\) and \(q = \begin{pmatrix} 12 \\ 5 \end{pmatrix}\).

A. 23.52°
B. 24.50°
C. 29.52°
D. 29.82°

Question 42:

• WAEC 2011

If \(f(x) = 6x^{3} + 13x^{2} + 2x - 5\) and \(f(-1) = 0\), find the factors of f(x).

Question 43:

• WAEC 2011

If \(\alpha\) and \(\beta\) are the roots of the equation \(2x^{2} - 7x + 4 = 0\), find the equation whose roots are \(\frac{\alpha}{\beta}\) and \(\frac{\beta}{\alpha}\).

Question 44:

• WAEC 2011

(a) Write down the binomial expansion of \((2 - x)^{5}\) in ascending powers of x.
(b) Use your expansion in (a) to evaluate \((1.98)^{5}\) correct to four decimal places.

Question 45:

• WAEC 2011

Solve \(2^{(2y + 2)} - 9(2^{y}) = -2\).