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Further Mathematics Past Questions

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941

If g(x) = √(1-x\(^2\)), find the domain of g(x)

  • A. x < -1 or x > 1
  • B. x ≤ -1 or x ≥1
  • C. -1 ≤ x ≤ 1
  • C. -1 < x < 1
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942

Find the coefficient of x\(^3\)y\(^2\) in the binomial expansion of (x-2y)\(^5\)

  • A. -80
  • B. 10
  • C. 40
  • D. 80
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943

The first, second and third terms of an exponential sequence (G.P) are (x - 4), (x + 2), and (3x + 1) respectively. Find the values of x.

  • A. \(\frac{-1}{2}, 8\)
  • B. \(\frac{1}{2}, -8\)
  • C. \(\frac{-1}{2}, -8\)
  • D. \(\frac{1}{2}, 8\)
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944

A body of mass 18kg moving with velocity 4ms-1 collides with another body of mass 6kg moving in the opposite direction with velocity 10ms-1. If they stick together after the collision, find their common velocity.

  • A. \(\frac{1}{2}\) m/s
  • B. \(\frac{1}{3}\) m/s
  • C. 2m/s
  • D. 3m/s
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945

The mean heights of three groups of students consisting of 20, 16 and 14 students each are 1.67m, 1.50m and 1.40m respectively. Find the mean height of all the students.

  • A. 1.63m
  • B. 1.54m
  • C. 1.52m
  • D. 1.42m
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