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Further Mathematics 2007 WAEC Past Questions

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21

A body is acted upon by two forces \(F_{1} = (5 N, 060°)\) and \(F_{2} = (10 N, 180°)\). Find the magnitude of the resultant force.

  • A. 18.75 N
  • B. 15.75 N
  • C. 9.50 N
  • D. 8.66 N
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22

The equation of a curve is given by \(y = 2x^{2} - 5x + k\). If the curve has two intercepts on the x- axis, find the value(s) of constant k.

  • A. \(k = \frac{8}{25}\)
  • B. \(k = \frac{25}{8}\)
  • C. \(k < \frac{25}{8}\)
  • D. \(k > \frac{25}{8}\)
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23

Find the value of p for which \(x^{2} - x + p\) becomes a perfect square. 

  • A. \(-\frac{1}{2}\)
  • B. \(\frac{1}{4}\)
  • C. \(\frac{1}{2}\)
  • D. \(1\)
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24

The polynomial \(2x^{3} + 3x^{2} + qx - 1\) has the same reminder when divided by \((x + 2)\) and \((x - 1)\). Find the value of the constant q.

  • A. -11
  • B. -9
  • C. -3
  • D. 4
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25
Marks 5 - 7 8 - 10 11 - 13 14 -  16 17 - 19 20 - 22
Frequency 4 7 26 41 14 8

The table above shows the marks obtained by 100 pupils in a test. Find the upper class boundary of the class containing the third quartile.

  • A. 13.0
  • B. 16.0
  • C. 16.5
  • D. 22.5
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