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Further Mathematics 2009 WAEC Past Questions

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36

Three defective bulbs got mixed up with seven good ones. If two bulbs are selected at random, what is the probability that both are good?

  • A. \(\frac{3}{7}\)
  • B. \(\frac{21}{50}\)
  • C. \(\frac{7}{15}\)
  • D. \(\frac{49}{100}\)
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37

The ages, in years, of 5 boys are 5, 6, 6, 8 and 10. Calculate, correct to one decimal place, the standard deviation of their ages.

  • A. 3.2 years
  • B. 2.6 years
  • C. 1.9 years
  • D. 1.8 years
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38

A body is acted upon by forces \(F_{1} = (10 N, 090°)\) and \(F_{2} = (6 N, 180°)\). Find the magnitude of the resultant force.

  • A. 11.6 N
  • B. 11.7 N
  • C. 11.8 N
  • D. 11.9 N
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39

In the diagram, a ladder PS leaning against a vertical wall PR makes angle x° with the horizontal floor. The ladder slides down to a point QT such that angle QTR = 30° and SNT = y°. Find the relation between x and y.

  • A. \(y = \frac{1}{2}x + 30\)
  • B. \(y = \frac{1}{2}x + 30\)
  • C. \(y = x + 30\)
  • D. \(y = x - 30\)
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40

In the diagram, a ladder PS leaning against a vertical wall PR makes angle x° with the horizontal floor. The ladder slides down to a point QT such that angle QTR = 30° and SNT = y°. Find an expression for tan y.

  • A. \(\frac{\sqrt{3} \tan x - 1}{\sqrt{3} + \tan x}\)
  • B. \(\frac{\sqrt{3} \tan x}{\sqrt{3} + \tan x}\)
  • C. \(\frac{\sqrt{3} \tan x + 1}{\sqrt{3} - \tan x}\)
  • D. \(\frac{3 \tan x - 1}{\sqrt{3} - \tan x}\)
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