Waec Further Mathematics 2014 Past Questions and Answers

Question 36:

• WAEC 2014

If \(\frac{1}{5^{-y}} = 25(5^{4-2y})\), find the value of y.

A. 4
B. 2
C. -4
D. -5

Question 37:

• WAEC 2014

Simplify: \((1 - \sin \theta)(1 + \sin \theta)\).

A. \(\sin^{2} \theta\)
B. \(\sec^{2} \theta\)
C. \(\tan^{2} \theta\)
D. \(\cos^{2} \theta\)

Question 38:

• WAEC 2014

Given that \(3x + 4y + 6 = 0\) and \(4x - by + 3 = 0\) are perpendicular, find the value of b.

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

Question 39:

• 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 40:

• 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