Waec Further Mathematics 2016 Past Questions and Answers

Question 16:

• WAEC 2016

Evaluate \(\cos leaving the answer in surd form.

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

Question 17:

• WAEC 2016

Given that \(\tan x = \frac{5}{12}\), and \(\tan y = \frac{3}{4}\), Find \(\tan (x + y)\).

A. \(\frac{16}{33}\)
B. \(\frac{33}{56}\)
C. \(\frac{33}{16}\)
D. \(\frac{56}{33}\)

Question 18:

• WAEC 2016

Find the equation of the line which passes through (-4, 3) and parallel to line y = 2x + 5.

A. Y = 2x + 11
B. Y = 3x + 11
C. Y = 3x - 5
D. Y = 2x - 11

Question 19:

• WAEC 2016

Points E(-2, -1) and F(3, 2) are the ends of the diameter of a circle. Find the equation of the circle.

A. \(x^{2} + y^{2} - 5x + 3 = 0\)
B. \(x^{2} + y^{2} - 2x - 6y - 13 = 0\)
C. \(x^{2} + y^{2} - x + 5y - 6 = 0\)
D. \(x^{2} + y^{2} - x - y - 8 = 0\)

Question 20:

• WAEC 2016

The lines \(2y + 3x - 16 = 0\) and \(7y - 2x - 6 = 0\) intersect at point P. Find the coordinates of P.

A. (4, 2)
B. (4, -2)
C. (-4, 2)
D. (-4, -2)