Waec Further Mathematics Past Questions and Answers

Question 296:

• WAEC 2006

A committee of 4 is to be selected from a group of 5 men and 3 women. In how many ways can this be done if the chairman of the committee must be a man?

A. 15
B. 40
C. 70
D. 175

Question 297:

• WAEC 2008

The probability of Jide, Atu and Obu solving a given problem are \(\frac{1}{12}\), \(\frac{1}{6}\) and \(\frac{1}{8}\) respectively. Calculate the probability that only one solves the problem.

A. \(\frac{1}{576}\)
B. \(\frac{55}{576}\)
C. \(\frac{77}{576}\)
D. \(\frac{167}{576}\)

Question 298:

• WAEC 2006

Simplify \(\frac{^{n}P_{4}}{^{n}C_{4}}\)

A. 24
B. 18
C. 12
D. 6

Question 299:

• WAEC 2008

Two forces \(F_{1} = (10N, 020°)\) and \(F_{2} = (7N, 200°)\) act on a particle. Find the resultant force.

A. (3 N, 020°)
B. (3 N, 200°)
C. (17 N, 020°)
D. (17 N, 200°)

Question 300:

• WAEC 2006

Which of the following is a singular matrix?

A. \(\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}\)
B. \(\begin{pmatrix} 2 & 1 \\ 3 & 2 \end{pmatrix}\)
C. \(\begin{pmatrix} 3 & 8 \\ 5 & 16 \end{pmatrix}\)
D. \(\begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}\)