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Wednesday, 05 August 2026
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Mathematics Past Questions and Answers

Mathematics Questions

Question 296:
Find an expression for y given that \(\frac{\mathrm d y}{\mathrm d x} = x^{2}\sqrt{x}\)
  • A \(\frac{1x^{\frac{2}{7}}}{7} + c\)
  • B \(\frac{2x^{\frac{3}{2}}}{7} + c\)
  • C \(\frac{2x^{\frac{7}{2}}}{7} + c\)
  • D \(\frac{1x^{\frac{7}{2}}}{7} + c\)
View Answer & Explanation
Question 297:
Evaluate \(\cos leaving the answer in surd form.
  • A \(\frac{\sqrt{2}}{2}(\sqrt{3} + 1)\)
  • B \(\frac{\sqrt{2}}{4}(\sqrt{3} - 1)\)
  • C \(\frac{\sqrt{2}}{4}(\sqrt{3} + 1)\)
  • D \(\frac{\sqrt{2}}{2}(\sqrt{3} - 1)\)
View Answer & Explanation
Question 298:
Given that \(\tan x = \frac{5}{12}\), and \(\tan y = \frac{3}{4}\), Find \(\tan (x + y)\).
  • A \(\frac{16}{33}\)
  • B \(\frac{33}{56}\)
  • C \(\frac{33}{16}\)
  • D \(\frac{56}{33}\)
View Answer & Explanation
Question 299:
Find the equation of the line which passes through (-4, 3) and parallel to line y = 2x + 5.
  • A Y = 2x + 11
  • B Y = 3x + 11
  • C Y = 3x - 5
  • D Y = 2x - 11
View Answer & Explanation
Question 300:
Points E(-2, -1) and F(3, 2) are the ends of the diameter of a circle. Find the equation of the circle.
  • A \(x^{2} + y^{2} - 5x + 3 = 0\)
  • B \(x^{2} + y^{2} - 2x - 6y - 13 = 0\)
  • C \(x^{2} + y^{2} - x + 5y - 6 = 0\)
  • D \(x^{2} + y^{2} - x - y - 8 = 0\)
View Answer & Explanation