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Further Mathematics 2024 WAEC Past Questions

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1

If \(\frac{5}{\sqrt{2}}\) - \(\frac{\sqrt{8}}{8}\) = m\(\sqrt{2}\), find the value of m

  • A. \(\frac{12}{5}\)
  • B. \(\frac{9}{4}\)
  • C. \(\frac{7}{3}\)
  • D. \(\frac{5}{2}\)
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2

Given that f: x → \(\sqrt{x}\) and g : x → 25 - x\(^2\), find the value of f o g(3)

  • A. 4
  • B. 3
  • C. 2
  • D. 1
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3

\(\sqrt{x}\) - \(\frac{6}{\sqrt{x}}\) = 1, find the value of x

  • A. 36
  • B. 16
  • C. 9
  • D. 25
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4

A binary operation * is defined on the set of real numbers, R by x * y = \(\frac{y^2 - x^2}{2xy}\), x, y ≠ 0, where x and y are real numbers. Evaluate -3 * 2

  • A. \(\frac{5}{12}\)
  • B. \(\frac{13}{12}\)
  • C. -\(\frac{5}{12}\)
  • D. -\(\frac{13}{12}\)
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5

If the n\(^{th}\) term of a linear sequence (A.P) is (5n - 2), find the sum of the first 12 terms of the sequence.

  • A. 120
  • B. 183
  • C. 366
  • D. 732
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