Waec Further Mathematics 2016 Past Questions and Answers

Question 26:

• WAEC 2016

Solve for x in the equation \(5^{x} \times 5^{x + 1} = 25\).

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

Question 27:

• WAEC 2016

If \(\log_{10}y + 3\log_{10}x \geq \log_{10}x\), express y in terms of x.

A. \(y \geq \frac{1}{x}\)
B. \(y \leq \frac{1}{x}\)
C. \(y \leq \frac{1}{x^{2}}\)
D. \(y \geq \frac{1}{x^{2}}\)

Question 28:

• WAEC 2016

Simplify \(\frac{^{n}P_{5}}{^{n}C_{5}}\).

A. 80
B. 90
C. 110
D. 120

Question 29:

• WAEC 2016

Given n = 3, evaluate \(\frac{1}{(n-1)!} - \frac{1}{(n+1)!}\)

A. \(12\)
B. \(2\frac{1}{2}\)
C. \(2\)
D. \(\frac{11}{24}\)

Question 30:

• WAEC 2016

Find the coefficient of \(x^{3}\) in the expansion of \([\frac{1}{3}(2 + x)]^{6}\).

A. \(\frac{135}{729}\)
B. \(\frac{149}{729}\)
C. \(\frac{152}{729}\)
D. \(\frac{160}{729}\)