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Further Mathematics 2016 WAEC Past Questions

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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
21

Evaluate \(\cos 75°\), 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. \(\frac{\sqrt{2}}{2}(\sqrt{3} - 1)\)
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22

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. \(\frac{56}{33}\)
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23

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
  • B. y = 3x - 5
  • C. y = 2x - 11
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24

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. \(x^{2} + y^{2} - x - y - 8 = 0\)
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25

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)
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