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Further Mathematics Past Questions and Answers

Waec Further Mathematics Questions

Question 396:

Find the domain of \(f(x) = \frac{x}{3 - x}, x \in R\), the set of real numbers.

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A \({x : x \in R, x \neq 3}\)
B \({x : x \in R, x \neq 1}\)
C \({x : x \in R, x \neq 0}\)
D \({x : x \in R, x\neq -3}\)

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Question 397:

Find the value of \(\cos(60° + 45°)\) leaving your answer in surd form.

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A \(\frac{6 + \sqrt{2}}{4}\)
B \(\frac{3 + \sqrt{6}}{4}\)
C \(\frac{\sqrt{2} - \sqrt{6}}{4}\)
D \(\frac{3 - \sqrt{6}}{4}\)

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Question 398:

If \(\frac{5}{\sqrt{2}} - \frac{\sqrt{8}}{8} = m\sqrt{2}\), where m is a constant. Find m.

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A \(1\frac{1}{2}\)
B \(1\frac{1}{4}\)
C \(2\frac{1}{4}\)
D \(2\frac{1}{2}\)

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Question 399:

If \(16^{3x} = \frac{1}{4}(32^{x - 1})\), find the value of x.

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A \(-1\)
B \(\frac{-1}{3}\)
C \(\frac{-3}{7}\)
D \(\frac{-5}{19}\)

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Question 400:

Simplify \(\frac{\log_{5} 8}{\log_{5} \sqrt{8}}\).

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A -2
B \(\frac{-1}{2}\)
C \(\frac{1}{2}\)
D 2

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