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Mathematics Past Questions

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3721

Add 54 \(_{eight}\) and 67\(_{eight}\) giving your answers in base eight

  • A. 111
  • B. 121
  • C. 123
  • D. 143
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3722

Simplify: \(\sqrt{108} + \sqrt{125} - \sqrt{75}\)

  • A. \(\sqrt{3} + 5\sqrt{5}\)
  • B. \(6 \sqrt{3} - 5 \sqrt{5}\)
  • C. \(6 \sqrt{3} + \sqrt{2}\)
  • D. \(6\sqrt{3} - \sqrt{2}\)
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3723

Evaluate: \((64^{\frac{1}{2}} + 125^{\frac{1}{3}})^2\)

  • A. 121
  • B. 144
  • C. 169
  • D. 196
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3724

Given that y varies inversely as the square of x. If x = 3 when y = 100, find the equation connecting x and y.

  • A. \(yx^2 = 300\)
  • B. \(yx^2 = 900\)
  • C. y = \(\frac{100x}{9}\)
  • D. \(y = 900x^2\)
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3725

Find the value of x for which \(32_{four} = 22_x\)

 

  • A. three
  • B. five
  • C. six
  • D. seven
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