Further Mathematics 2008 Waec Past Questions and Answers

Question 16 :

• WAEC 2008

Two statements are represented by p and q as follows:
p : He is brilliant; q : He is regular in class
Which of the following symbols represent "He is regular in class but dull"?

A. \(q \vee \sim p\)
B. \(q \edge \sim p\)
C. \(\sim q \edge \sim p\)
D. \(\sim q \vee \sim p\)

Question 17 :

• WAEC 2008

Find the locus of points which is equidistant from P(4, 5) and Q(-6, -1).

A. 3x - 5y + 13 = 0
B. 3x - 5y - 7 = 0
C. 5x - 3y + 7 = 0
D. 5x + 3y - 1 = 0

Question 18 :

• WAEC 2008

A binary operation ,*, is defined on the set R, of real numbers by \(a * b = a^{2} + b + ab\). Find the value of x for which \(5 * x = 37\).

A. 7
B. 2
C. -2
D. -7

Question 19 :

• WAEC 2008

Find the derivative of \(3x^{2} + \frac{1}{x^{2}}\)

A. \(6x + 2x^{2}\)
B. \(6x + \frac{1}{2x}\)
C. \(6x - \frac{2}{x^{3}}\)
D. \(6x - \frac{1}{2x}\)

Question 20 :

• WAEC 2008

The coefficient of the 5th term in the binomial expansion of \((1 + kx)^{8}\), in ascending powers of x is \(\frac{35}{8}\). Find the value of the constant k.

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