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Further Mathematics 2015 WAEC Past Questions

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16

If \(x = i - 3j\) and \(y = 6i + j\), calculate the angle between x and y.

  • A. 60°
  • B. 75°
  • C. 81°
  • D. 85°
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17

The gradient of a curve at the point (-2, 0) is \(3x^{2} - 4x\). Find the equation of the curve.

  • A. \(y = 6x - 4\)
  • B. \(y = 6x^{2} - 4x + 12\)
  • C. \(y = x^{3} - 2x^{2}\)
  • D. \(y = x^{3} - 2x^{2} + 16\)
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18

If \(\alpha\) and \(\beta\) are the roots of \(x^{2} + x - 2 = 0\), find the value of \(\frac{1}{\alpha^{2}} + \frac{1}{\beta^{2}}\).

  • A. \(\frac{5}{4}\)
  • B. \(\frac{3}{4}\)
  • C. \(\frac{1}{4}\)
  • D. \(\frac{-3}{4}\)
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19

Given that \(x^{2} + 4x + k = (x + r)^{2} + 1\), find the value of k and r.

  • A. k = 5, r = -1
  • B. k = 5, r = 2
  • C. k = 2, r = -5
  • D. k = -1, r = 5
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20

Given the statements:

p : the subject is difficult

q : I will do my best

Which of the following is equivalent to 'Although the subject is difficult, I will do my best'?

  • A. \(p \vee q\)
  • B. \(\sim p \vee q\)
  • C. \(p \wedge (\sim q)\)
  • D. \( p \wedge q\)
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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