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Wednesday, 15 April 2026
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Mathematics Past Questions and Answers

Mathematics Questions

Question 81:
If 2x\(^2\) + x - 3 divides x - 2, find the remainder.
  • A 7
  • B 3
  • C 5
  • D 6
View Answer & Explanation
Question 82:
If \(\begin{vmatrix} 2 & -5 & 3 \\ x & 1 & 4 \\ 0 & 3 & 2 \end{vmatrix} = 132\). find the value of x.
  • A 5
  • B 8
  • C 6
  • D 3
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Question 83:
Given the matrix \(A = \begin{vmatrix} 3 & -2 \\ 1 & 6 \end{vmatrix}\). Find the inverse of matrix A.
  • A \(\begin{vmatrix} 6 & 2 \\ 1 & 6 \end{vmatrix}\)
  • B \(\begin{vmatrix} \frac{2}{11} & \frac{1}{12}\\ \frac{3}{20} & \frac{1}{10} \end{vmatrix}\)
  • C \(\begin{vmatrix} -3 & 2 \\ -1 & -6 \end{vmatrix}\)
  • D \(\begin{vmatrix} \frac{3}{10} & \frac{1}{10} \\ \frac{-1}{20} & \frac{3}{20}\end{vmatrix}\)
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Question 84:
If y = 8x\(^3\) - 3x\(^2\) + 7x - 1, find \(\frac{\mathrm d^2 y}{\mathrm d x^2}\).
  • A 48x - 6
  • B 11x\(^2\) + 6x - 7
  • C 32x + 7
  • D 24x\(^2\) - 6x + 7
View Answer & Explanation
Question 85:
Differentiate \(\frac{2x}{\sin x}\) with respect to x.
  • A \(2 \cot x \sec x (1 + \tan x)\)
  • B \(2 \csc x - x \cot x\)
  • C \(2x \csc x + \tan x\)
  • D \(2\csc x(1 - x\cot x)\)
View Answer & Explanation