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Further Mathematics Past Questions and Answers

Waec Further Mathematics Questions

Question 61:

A circle with centre (4,5) passes through the y-intercept of the line 5x - 2y + 6 = 0. Find its equation.

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A \(x^{2} + y^{2} + 8x - 10y + 21 = 0\)
B \(x^{2} + y^{2} + 8x - 10y - 21 = 0\)
C \(x^{2} + y^{2} - 8x - 10y - 21 = 0\)
D \(x^{2} + y^{2} - 8x - 10y + 21 = 0\)

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Question 62:

Given that \(f(x) = 5x^{2} - 4x + 3\), find the coordinates of the point where the gradient is 6.

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A (4,1)
B (4,-2)
C (1,4)
D (1,-2)

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Question 63:

How many ways can 6 students be seated around a circular table?

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A 36
B 48
C 120
D 720

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Question 64:

If \(\begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}\)\(\begin{pmatrix} 5 \\ 4 \end{pmatrix}\) = k\(\begin{pmatrix} 17.5 \\ 40.0 \end{pmatrix}\), find the value of k.

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A 1.2
B 3.6
C 0.8
D 0.5

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Question 65:

Express cos150° in surd form.

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A \(-\sqrt{3}\)
B \(-\frac{\sqrt{3}}{2}\)
C \(-\frac{1}{2}\)
D \(\frac{\sqrt{2}}{2}\)

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