Waec Further Mathematics Past Questions and Answers

Question 361:

• WAEC 2009

The velocity \(v ms^{-1}\) of a particle moving in a straight line is given by \(v = 3t^{2} - 2t + 1\) at time t secs. Find the acceleration of the particle after 3 seconds.

A. \(26 ms^{-2}\)
B. \(18 ms^{-2}\)
C. \(17 ms^{-2}\)
D. \(16 ms^{-2}\)

Question 362:

• WAEC 2009

Three men, P, Q and R aim at a target, the probabilities that P, Q and R hit the target are \(\frac{1}{2}\), \(\frac{1}{3}\) and \(\frac{3}{4}\) respectively. Find the probability that exactly 2 of them hit the target.

A. \(1\)
B. \(\frac{1}{2}\)
C. \(\frac{5}{12}\)
D. \(\frac{1}{12}\)

Question 363:

• WAEC 2009

The position vectors of A and B are (2i + j) and (-i + 4j) respectively; find |AB|.

A. \(3\sqrt{2}\)
B. \(\sqrt{34}\)
C. \(\sqrt{34}\)
D. \(9\sqrt{2}\)

Question 364:

• WAEC 2009

Two fair dices, each numbered 1, 2, ..., 6, are tossed together. Find the probability that they both show even numbers.

A. \(\frac{1}{3}\)
B. \(\frac{1}{4}\)
C. \(\frac{1}{6}\)
D. \(\frac{1}{12}\)

Question 365:

• WAEC 2009

Calculate, correct to the nearest degree, the angle between the vectors \(\begin{pmatrix} 13 \\ 1 \end{pmatrix}\) and \(\begin{pmatrix} 1 \\ 4 \end{pmatrix}\).

A. 58°
B. 72°
C. 74°
D. 87°