Waec Further Mathematics Past Questions For Year 2011
Question 36
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 37
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 38
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 39
A particle starts from rest and moves in a straight line such that its velocity, v, at time t seconds is given by \(v = (3t^{2} - 2t) ms^{-1}\). Determine the acceleration when t = 2 secs.
- A. \(4 ms^{-2}\)
- B. \(6 ms^{-2}\)
- C. \(8 ms^{-2}\)
- D. \(10 ms^{-2}\)
Question 40
What percentage increase in the radius of a sphere will cause its volume to increase by 45%?
- A. 13%
- B. 15%
- C. 23%
- D. 25%
