Waec Further Mathematics Past Questions and Answers

Question 61:

• WAEC 2017

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

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. \(x^{2} + y^{2} - 8x - 10y + 21 = 0\)

Question 62:

• WAEC 2017

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

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

Question 63:

• WAEC 2017

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

A. 36
B. 48
C. 120
D. 720

Question 64:

• WAEC 2017

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.

A. 1.2
B. 3.6
C. 0.8
D. 0.5

Question 65:

• WAEC 2017

Express cos150° in surd form.

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