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Further Mathematics 2013 WAEC Past Questions

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31

Find the upper quartile of the following scores: 41, 29, 17, 2, 12, 33, 45, 18, 43 and 5.

  • A. 45
  • B. 41
  • C. 33
  • D. 21
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32

Given that \(P = \begin{pmatrix} 3 & 4 \\ 2 & x \end{pmatrix}; Q = \begin{pmatrix} 1 & 3 \\ -2 & 4 \end{pmatrix}; R = \begin{pmatrix} -5 & 25 \\ -8 & 26 \end{pmatrix}\)  and PQ = R, find the value of x.

  • A. -5
  • B. -2
  • C. 2
  • D. 5
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33

Two out of ten tickets on sale for a raffle draw are winning tickets. If a guest bought two tickets, what is the probability that both tickets are winning tickets?

  • A. \(\frac{1}{80}\)
  • B. \(\frac{1}{45}\)
  • C. \(\frac{1}{20}\)
  • D. \(\frac{1}{10}\)
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34

P and Q are the points (3, 1) and (7, 4) respectively. Find the unit vector along PQ.

  • A. \(\begin{pmatrix} 4 \\ 3 \end{pmatrix}\)
  • B. \(\begin{pmatrix} 0.6 \\ 0.8 \end{pmatrix}\)
  • C. \(\begin{pmatrix} 0.8 \\ 0.6 \end{pmatrix}\)
  • D. \(\begin{pmatrix} -0.8 \\ 0.6 \end{pmatrix}\)
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35

If \(g(x) = \frac{x + 1}{x - 2}, x \neq -2\), find \(g^{-1}(2)\).

  • A. 3
  • B. 2
  • C. \(\frac{3}{4}\)
  • D. -3
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