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Further Mathematics Past Questions

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981

A particle began to move at \(27 ms^{-1}\) along a straight line with constant retardation of \(9 ms^{-2}\). Calculate the time it took the particle to come to a stop.

  • A. 3 sec
  • B. 2 sec
  • C. 4 sec
  • D. 1 sec
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982

Find the fifth term in the binomial expansion of \((q + x)^7\).

  • A. \(21q^2x^5\)
  • B. \(21q^4x^3\)
  • C. \(35q^3x^4\)
  • D. \(35q^5x^2\)
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983

Given that P = {x : 2 ≤ x ≤ 8} and Q = {x : 4 < x ≤ 12} are subsets of the universal set μ = {x : x ∈ R}, find (P ⋂ Q\(^1\)).

  • A. {x : 4 < x < 8}
  • B. {x : 2 < x ≤ 4}
  • C. {x : 2 ≤ x ≤ 4}
  • D. {x : 4 ≤ x ≤ 8}
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984

Consider the statements:
x: The school bus arrived late
y: The student walked down to school
Which of the following can be represented by y ⇒ x?

  • A. The school bus arrived early and Kate ran to school
  • B. Mary walked to school because the school bus arrived late
  • C. Either the school bus arrived late or Maryam walked to school
  • D. Emmanuella did not go to school because the school bus arrived late
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985

\(Differentiate f (x) = \frac{1}{(1 - x^2)^5}\) with respect to \(x\).

  • A. \(\frac{-5x}{(1-x^2)^6}\)
  • B. \(\frac{-10x}{(1-x^2)^6}\)
  • C. \(\frac{5x}{(1-x^2)^6}\)
  • D. \(\frac{10x}{(1-x^2)^6}\)
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts