Further Mathematics 2009 Waec Past Questions and Answers

Question 26 :

• 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 27 :

• 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 28 :

• 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 29 :

• 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°

Question 30 :

• WAEC 2009

Simplify \(2\log_{3} 8 - 3\log_{3} 2\)

A. \(-\log_{3} 4\)
B. \(-\log_{3} 2\)
C. \(3\log_{3} 2\)
D. \(3\log_{3} 4\)