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Further Mathematics 2012 WAEC Past Questions

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21

Two forces 10N and 6N act in the directions 060° and 330° respectively. Find the x- component of their resultant.

  • A. \(5\sqrt{3} - 3\)
  • B. \(3 - 5\sqrt{3}\)
  • C. \(5 - 3\sqrt{3}\)
  • D. \(3\sqrt{3} - 5\)
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22

Find the unit vector in the direction of the vector \(-12i + 5j\).

  • A. \(\frac{-12i}{13} - \frac{5j}{13}\)
  • B. \(\frac{-1i}{13} + \frac{5j}{13}\)
  • C. \(\frac{-12i}{13} + \frac{5j}{13}\)
  • D. \(\frac{-5i}{13} + \frac{12j}{13}\)
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23

In computing the mean of 8 numbers, a boy mistakenly used 17 instead of 25 as one of the numbers and obtained 20 as the mean. Find the correct mean

  • A. 19
  • B. 21
  • C. 23
  • D. 24
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24

Given that \(^{n}P_{r} = 90\) and \(^{n}C_{r} = 15\), find the value of r.

  • A. 2
  • B. 3
  • C. 5
  • D. 6
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25

Which of the following is nor a measure of central tendency?

  • A. Mean
  • B. Variance
  • C. Median
  • D. Mode
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