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Tuesday, 14 April 2026
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Mathematics Past Questions and Answers

Mathematics Questions

Question 36:
If \(\begin{vmatrix} 2 & -4 \\ x & 9 \end{vmatrix} = 58\), find the value of x.
  • A 10
  • B 30
  • C 14
  • D 28
View Answer & Explanation
Question 37:
If \(y = 6x^3 + 2x^{-2} - x^{-3}\), find \(\frac{\mathrm d y}{\mathrm d x}\).
  • A \(\frac{\mathrm d y}{\mathrm d x} = 15x^2 - 4x^{-2} - 3x^{-2}\)
  • B \(\frac{\mathrm d y}{\mathrm d x} = 6x + 4x^{-1} - 3x^{-4}\)
  • C \(\frac{\mathrm d y}{\mathrm d x} = 18x^2 - 4x^{-3} + 3x^{-4}\)
  • D \(\frac{\mathrm d y}{\mathrm d x} = 12x^2 + 4x^{-1} - 3x^{-2}\)
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Question 38:
\(\frac{d}{dx} [\log (4x^3 - 2x)]\) is equal to
  • A \(\frac{12x - 2}{4x^2}\)
  • B \(\frac{43x^2 - 2x}{7x}\)
  • C \(\frac{4x^2 - 2}{7x + 6}\)
  • D \(\frac{12x^2 - 2}{4x^3 - 2x}\)
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Question 39:
If \(f(x) = 3x^3 + 4x^2 + x - 8\), what is the value of f(-2)?
  • A -24
  • B 30
  • C -18
  • D -50
View Answer & Explanation
Question 40:
Solve for x in \(\frac{4x - 6}{3} \leq \frac{3 + 2x}{2}\)
  • A \(x \leq 1\frac{1}{2}\)
  • B \(x \leq \frac{21}{2}\)
  • C \(x \geq \frac{21}{2}\)
  • D \(x \geq 1\frac{1}{2}\)
View Answer & Explanation