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Mathematics Past Questions

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4066

Find the value of x and y in the simultaneous equation: 3x + y = 21; xy = 30

  • A. x = 3 or 7, y = 12 or 8
  • B. x = 6 or 1, y = 11 or 5
  • C. x = 2 or 5, y = 15 or 6
  • D. x = 1 or 5, y = 10 or 7
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4067

Points X and Y are 20km North and 9km East of point O, respectively. What is the bearing of Y from X? Correct to the nearest degree.

  • A. 24°
  • B. 56°
  • C. 127°
  • D. 156°
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4068

If \(P = (\frac{Q(R - T)}{15})^{\frac{1}{3}}\), make T the subject of the formula.

  • A. \(T = \frac{15R - Q}{P^3}\)
  • B. \(T = R - \frac{15P^3}{Q}\)
  • C. \(T = \frac{R - 15P^3}{Q}\)
  • D. \(T = \frac{R + P^3}{15Q}\)
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4069

In the diagram above, O is the centre of the circle ABC, < ABO = 26° and < BOC = 130°. Calculate < AOC.

  • A. 26°
  • B. 13°
  • C. 80°
  • D. 102°
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4070

Each of the interior angles of a regular polygon is 140°. Calculate the sum of all the interior angles of the polygon.

  • A. 1080°
  • B. 1260°
  • C. 2160°
  • D. 1800°
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