Waec Further Mathematics 2015 Past Questions and Answers

Question 36:

• WAEC 2015

Simplify \(\frac{1 - 2\sqrt{5}}{2 + 3\sqrt{2}}\).

A. \(14(2\sqrt{2} + 6\sqrt{5} - 4\sqrt{10})\)
B. \(\frac{1}{14}(2 - 3\sqrt{2} - 4\sqrt{5} - 6\sqrt{10})\)
C. \(\frac{1}{14}(3\sqrt{2} + 4\sqrt{5} - 6\sqrt{10} - 2)\)
D. \(14(2 + 3\sqrt{2} - 6\sqrt{5} + 4\sqrt{10})\)

Question 37:

• WAEC 2015

Solve: \(2\cos x - 1 = 0\).

A. \((\frac{2\pi}{3}, \frac{4\pi}{3})\)
B. \((\frac{\pi}{6}, \frac{5\pi}{6})\)
C. \((\frac{\pi}{5}, \frac{2\pi}{5})\)
D. \((\frac{\pi}{3}, \frac{5\pi}{3})\)

Question 38:

• WAEC 2015

Solve: \(4(2^{x^2}) = 8^{x}\)

A. (1, 2)
B. (1, -2)
C. (-1, 2)
D. (-1, -2)

Question 39:

• WAEC 2015

If \(\log_{3} x = \log_{9} 3\), find the value of x.

A. \(3^{2}\)
B. \(3^{\frac{1}{2}}\)
C. \(3^{\frac{1}{3}}\)
D. \(2^{13}\)

Question 40:

• WAEC 2015

Find the 3rd term of \((\frac{x}{2} - 1)^{8}\) in descending order of x.

A. \(\frac{x^{7}}{8}\)
B. \(\frac{7x^{6}}{16}\)
C. \(\frac{7x^{5}}{4}\)
D. \(\frac{35x^{4}}{8}\)