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Further Mathematics 2014 WAEC Past Questions

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16

A function is defined by \(h : x \to 2 - \frac{1}{2x - 3}, x \neq \frac{3}{2}\). Find \(h^{-1}(\frac{1}{2})\).

  • A. \(6\)
  • B. \(\frac{11}{6}\)
  • C. \(\frac{11}{4}\)
  • D. \(\frac{5}{3}\)
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17

The radius of a sphere is increasing at a rate \(3cm s^{-1}\). Find the rate of increase in the surface area, when the radius is 2cm. 

  • A. \(8\pi cm^{2}s^{-1}\)
  • B. \(16\pi cm^{2}s^{-1}\)
  • C. \(24\pi cm^{2}s^{-1}\)
  • D. \(48\pi cm^{2}s^{-1}\)
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18
Age in years 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34
Frequency 6 8 14 10 12

What is the class mark of the median class?

  • A. 17
  • B. 22
  • C. 27
  • D. 32
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19
Age in years 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34
Frequency 6 8 14 10 12

 

In which group is the upper quartile?

  • A. 15 - 19
  • B. 20 - 24
  • C. 25 - 29
  • D. 30 - 34
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20
Age in years 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34
Frequency 6 8 14 10 12

Find the mean of the distribution.

  • A. 23.4
  • B. 23.6
  • C. 24.3
  • D. 24.6
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