Further Mathematics 2014 Waec Past Questions and Answers

Question 31 :

• WAEC 2014

If \(8^{x} ÷ (\frac{1}{4})^{y} = 1\) and \(\log_{2}(x - 2y) = 1\), find the value of (x - y).

A. \(\frac{5}{4}\)
B. \(\frac{3}{5}\)
C. \(1\)
D. \(\frac{2}{3}\)

Question 32 :

• WAEC 2014

Simplify \(\frac{1 + \sqrt{8}}{3 - \sqrt{2}}\).

A. \(7 + \sqrt{2}\)
B. \(7 + 7\sqrt{2}\)
C. \(1 - 7\sqrt{2}\)
D. \(1 + \sqrt{2}\)

Question 33 :

• WAEC 2014

Using the binomial expansion \((1+x)^{6} = 1 + 6x + 15x^{2} + 20x^{3} + 15x^{4} + 6x^{5} + x^{6}\), find, correct to 3 dp, the value of \((1.98)^{6}\).

A. 64.245
B. 61.255
C. 60.255
D. 60.245

Question 34 :

• WAEC 2014

If \((x + 2)\) and \((3x - 1)\) are factors of \(6x^{3} + x^{2} - 19x + 6\), find the third factor.

A. \(2x - 3\)
B. \(3x + 1\)
C. \(x - 2\)
D. \(3x + 2\)

Question 35 :

• WAEC 2014

If \(2, (k+1), 8,...\) form an exponential sequence (GP), find the values of k.

A. -3 and 5
B. 5 and -5
C. 3 and -3
D. -5 and 3