Waec Further Mathematics Past Questions and Answers

Question 491:

• WAEC 2011

Given that \(q = 9i + 6j\) and \(r = 4i - 6j\), which of the following statements is true?

A. R and q are collinear
B. R and q are perpendicular
C. The magnitude of r is 52 units
D. The projection of r on q is \(\sqrt{117}\) units.

Question 492:

• WAEC 2011

The functions f and g are defined on the set, R, of real numbers by \(f : x \to x^{2} - x - 6\) and \(g : x \to x - 1\). Find \(f \circ g(3)\).

A. -8
B. -6
C. -4
D. -3

Question 493:

• WAEC 2011

Find the unit vector in the direction of (-5i + 12j).

A. \(\frac{1}{13}(-5i - 12j)\)
B. \(\frac{1}{13}(5i - 12j)\)
C. \(\frac{1}{13}(-5i + 12j)\)
D. \(\frac{1}{13}(5i + 12j)\)

Question 494:

• 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 495:

• WAEC 2011

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