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Further Mathematics 2011 WAEC Past Questions

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6

A function is defined by \(f(x) = \frac{3x + 1}{x^{2} - 1}, x \neq \pm 1\). Find f(-3).

  • A. \(-1\frac{1}{4}\)
  • B. \(-1\)
  • C. \(\frac{4}{5}\)
  • D. \(1\)
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7

Simplify \(\sqrt[3]{\frac{8}{27}} - (\frac{4}{9})^{-\frac{1}{2}}\)

  • A. \(\frac{-5}{6}\)
  • B. \(-\frac{4}{27}\)
  • C. \(0\)
  • D. \(\frac{2}{9}\)
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8

Solve \(3x^{2} + 4x + 1 > 0\)

  • A. \(x < -1, x < -\frac{1}{3}\)
  • B. \(x > -1, x > -\frac{1}{3}\)
  • C. \(x > \frac{1}{3}, x < -1\)
  • D. \(x < \frac{1}{3}, x > -1\)
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9

The equation of a circle is \(3x^{2} + 3y^{2} + 6x - 12y + 6 = 0\). Find its radius

  • A. 1
  • B. \(\sqrt{3}\)
  • C. \(\sqrt{11}\)
  • D. \(\sqrt{6}\)
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10

\(f(x) = p + qx\), where p and q are constants. If f(1) = 7 and f(5) = 19, find f(3).

  • A. 13
  • B. 15
  • C. 17
  • D. 26
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