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Mathematics Past Questions

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4581

The radius and height of a solid cylinder is 8 cm and 14 cm respectively. Find, correct to two d.p the total surface area.
(Take \(\pi = \frac{22}{7})\)

  • A. \(1,106.29cm^2\)
  • B. \(1,016.29cm^2\)
  • C. \(1,106.89cm^2\)
  • D. \(1,206.27cm^2\)
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4582

Find the value of a in the equation: cos (a + 14)° = sin (4a + 6)°

  • A. 15
  • B. 17
  • C. 14
  • D. 21
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4583

The radius of a sphere is 3 cm. Find, in terms of π, its volume.

  • A. \(30\pi cm^3\)
  • B. \(108\pi cm^3\)
  • C. \(27\pi cm^3\)
  • D. \(36\pi cm^3\)
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4584

m:n = \(2\frac{1}{3} : 1\frac{1}{5}\) and n : q = \(1\frac{1}{2} : 1\frac{1}{3}\), find q : m.

  • A. 35 : 18
  • B. 16 : 35
  • C. 18 : 35
  • D. 35 : 16
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4585

make x the subject of the relation \(y = \frac{ax^3 - b}{3z}\)

  • A. x = \(\sqrt[3] \frac{ax^3 - b}{3z}\)
  • B. x = \(\sqrt[3] \frac{3yz - b}{a}\)
  • C. x = \(\sqrt[3] \frac{3yz + b}{a}\)
  • D. x = \(\sqrt[3] \frac{3yzb}{a}\)
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