Waec Further Mathematics Past Questions and Answers

Question 196:

• WAEC 2014

Given that \(x * y = \frac{x + y}{2}, x \circ y = \frac{x^{2}}{y}\) and \((3 * b) \circ 48 = \frac{1}{3}\), find b, where b > 0.

A. 8
B. 6
C. 5
D. 4

Question 197:

• WAEC 2014

If \(f(x) = 3x^{3} + 8x^{2} + 6x + k\) and \(f(2) = 1\), find the value of k.

A. -67
B. -61
C. 61
D. 67

Question 198:

• WAEC 2007

Given that the straight lines \(kx - 5y + 6 = 0\) and \(mx + ny - 1 = 0\) are parallel, find a relationship connecting the constants m, n and k.

A. 5n - km = 0
B. Kn + 5m = 0
C. 5n + km = 0
D. Kn - 5m = 0

Question 199:

• WAEC 2007

Given that the straight lines \(kx - 5y + 6 = 0\) and \(mx + ny - 1 = 0\) are parallel, find a relationship connecting the constants m, n and k.

A. 5n - km = 0
B. Kn + 5m = 0
C. 5n + km = 0
D. Kn - 5m = 0

Question 200:

• WAEC 2007

Given that \(\alpha\) and \(\beta\) are the roots of an equation such that \(\alpha + \beta = 3\) and \(\alpha \beta = 2\), find the equation.

A. \(x^{2} - 3x + 2 = 0\)
B. \(x^{2} - 2x + 3 = 0\)
C. \(x^{2} - 3x - 2 = 0\)
D. \(x^{2} - 2x - 3 = 0\)