Further Mathematics Past Questions

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31
Face 1 2 3 4 5 6
Frequency 12 18 y 30 2y 45

Given the table above as the results of tossing a fair die 150 times. Find the probability of obtaining a 5.

  • A. \(\frac{1}{10}\)
  • B. \(\frac{1}{6}\)
  • C. \(\frac{1}{5}\)
  • D. \(\frac{3}{10}\)
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32
Face 1 2 3 4 5 6
Frequency 12 18 y 30 2y 45

 Given the table above as the result of tossing a fair die 150 times, find the mode.

  • A. 3
  • B. 4
  • C. 5
  • D. 6
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33

Given that a = 5i + 4j and b = 3i + 7j, evaluate (3a - 8b).

  • A. 9i + 44j
  • B. -9i + 44j
  • C. -9i - 44j
  • D. 9i - 44j
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34

A force (10i + 4j)N acts on a body of mass 2kg which is at rest. Find the velocity after 3 seconds.

  • A. \((\frac{5i}{3} + \frac{2j}{3})ms^{-1}\)
  • B. \((\frac{10i}{3} + \frac{4j}{3})ms^{-1}\)
  • C. \((5i + 2j)ms^{-1}\)
  • D. \((15i + 6j)ms^{-1}\)
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35

Solve \(3^{2x} - 3^{x+2} = 3^{x+1} - 27\)

  • A. 1 or 0
  • B. 1 or 2
  • C. 1 or -2
  • D. -1 or 2
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