2016 WAEC SSCE Further Mathematics Past Questions

2016

Given that \(r = 3i + 4j\) and \(t = -5i + 12j\), find the acute angle between them.

2016

A box contains 14 white balls and 6 black balls. Find the probability of first drawing a black ball and then a white ball without replacement.

2016

A fair coin is tossed 3 times. Find the probability of obtaining exactly 2 heads.

2016

Find the variance of 11, 12, 13, 14 and 15.

2016

Given that \(n = 10\) and \(\sum d^{2} = 20\), calculate the Spearman's rank correlation coefficient.

2016

Find an expression for y given that \(\frac{\mathrm d y}{\mathrm d x} = x^{2}\sqrt{x}\)

2016

The radius of a circle increases at a rate of 0.5\(cms^{-1}\). Find the rate of change in the area of the circle with radius 7cm. \([\pi = \frac{22}{7}]\)

2016

Find the minimum value of \(y = 3x^{2} - x - 6\).

2016

Find the gradient to the normal of the curve \(y = x^{3} - x^{2}\) at the point where x = 2.

2016

Find \(\lim\limits_{x \to 3} \frac{2x^{2} + x - 21}{x - 3}\).

2016

The lines \(2y + 3x - 16 = 0\) and \(7y - 2x - 6 = 0\) intersect at point P. Find the coordinates of P.

2016

Points E(-2, -1) and F(3, 2) are the ends of the diameter of a circle. Find the equation of the circle.

2016

Find the equation of the line which passes through (-4, 3) and parallel to line y = 2x + 5.

2016

Given that \(\tan x = \frac{5}{12}\), and \(\tan y = \frac{3}{4}\), Find \(\tan (x + y)\).

2016

Evaluate \(\cos 75Â°\), leaving the answer in surd form.

2016

If \(P = \begin{pmatrix} 1 & 2 \\ 5 & 1 \end{pmatrix}\) and \(Q = \begin{pmatrix} 0 & 1 \\ 1 & 3 \end{pmatrix}\), find PQ.

2016

If \(\begin{vmatrix}Â m-2 & m+1 \\ m+4 & m-2 \end{vmatrix} = -27\), find the value of m.

2016

Given that \(-6, -2\frac{1}{2}, ..., 71\) is a linear sequence , calculate the number of terms in the sequence.

2016

2016 WAEC SSCE Further Mathematics Past Questions

Given that \(r = 3i + 4j\) and \(t = -5i + 12j\), find the acute angle between them.

A box contains 14 white balls and 6 black balls. Find the probability of first drawing a black ball and then a white ball without replacement.

A fair coin is tossed 3 times. Find the probability of obtaining exactly 2 heads.

Find the variance of 11, 12, 13, 14 and 15.

Given that \(n = 10\) and \(\sum d^{2} = 20\), calculate the Spearman's rank correlation coefficient.

Find an expression for y given that \(\frac{\mathrm d y}{\mathrm d x} = x^{2}\sqrt{x}\)

The radius of a circle increases at a rate of 0.5\(cms^{-1}\). Find the rate of change in the area of the circle with radius 7cm. \([\pi = \frac{22}{7}]\)

Find the minimum value of \(y = 3x^{2} - x - 6\).

Find the gradient to the normal of the curve \(y = x^{3} - x^{2}\) at the point where x = 2.

Find \(\lim\limits_{x \to 3} \frac{2x^{2} + x - 21}{x - 3}\).

The lines \(2y + 3x - 16 = 0\) and \(7y - 2x - 6 = 0\) intersect at point P. Find the coordinates of P.

Points E(-2, -1) and F(3, 2) are the ends of the diameter of a circle. Find the equation of the circle.

Find the equation of the line which passes through (-4, 3) and parallel to line y = 2x + 5.

Given that \(\tan x = \frac{5}{12}\), and \(\tan y = \frac{3}{4}\), Find \(\tan (x + y)\).

Evaluate \(\cos 75Â°\), leaving the answer in surd form.

If \(P = \begin{pmatrix} 1 & 2 \\ 5 & 1 \end{pmatrix}\) and \(Q = \begin{pmatrix} 0 & 1 \\ 1 & 3 \end{pmatrix}\), find PQ.

If \(\begin{vmatrix}Â m-2 & m+1 \\ m+4 & m-2 \end{vmatrix} = -27\), find the value of m.

Given that \(-6, -2\frac{1}{2}, ..., 71\) is a linear sequence , calculate the number of terms in the sequence.

The 3rd and 6th terms of a geometric progression (G.P.) are \(\frac{8}{3}\) and \(\frac{64}{81}\) respectively, find the common ratio.

Find the fourth term in the expansion of \((3x - y)^{6}\).

2016 WAEC SSCE Further Mathematics Past Questions

Given that \(r = 3i + 4j\) and \(t = -5i + 12j\), find the acute angle between them.

A box contains 14 white balls and 6 black balls. Find the probability of first drawing a black ball and then a white ball without replacement.

A fair coin is tossed 3 times. Find the probability of obtaining exactly 2 heads.

Find the variance of 11, 12, 13, 14 and 15.

Given that \(n = 10\) and \(\sum d^{2} = 20\), calculate the Spearman's rank correlation coefficient.

Find an expression for y given that \(\frac{\mathrm d y}{\mathrm d x} = x^{2}\sqrt{x}\)

The radius of a circle increases at a rate of 0.5\(cms^{-1}\). Find the rate of change in the area of the circle with radius 7cm. \([\pi = \frac{22}{7}]\)

Find the minimum value of \(y = 3x^{2} - x - 6\).

Find the gradient to the normal of the curve \(y = x^{3} - x^{2}\) at the point where x = 2.

Find \(\lim\limits_{x \to 3} \frac{2x^{2} + x - 21}{x - 3}\).

The lines \(2y + 3x - 16 = 0\) and \(7y - 2x - 6 = 0\) intersect at point P. Find the coordinates of P.

Points E(-2, -1) and F(3, 2) are the ends of the diameter of a circle. Find the equation of the circle.

Find the equation of the line which passes through (-4, 3) and parallel to line y = 2x + 5.

Given that \(\tan x = \frac{5}{12}\), and \(\tan y = \frac{3}{4}\), Find \(\tan (x + y)\).

Evaluate \(\cos 75Â°\), leaving the answer in surd form.

If \(P = \begin{pmatrix} 1 &amp; 2 \\ 5 &amp; 1 \end{pmatrix}\) and \(Q = \begin{pmatrix} 0 &amp; 1 \\ 1 &amp; 3 \end{pmatrix}\), find PQ.

If \(\begin{vmatrix}Â m-2 &amp; m+1 \\ m+4 &amp; m-2 \end{vmatrix} = -27\), find the value of m.

Given that \(-6, -2\frac{1}{2}, ..., 71\) is a linear sequence , calculate the number of terms in the sequence.

The 3rd and 6th terms of a geometric progression (G.P.) are \(\frac{8}{3}\) and \(\frac{64}{81}\) respectively, find the common ratio.

Find the fourth term in the expansion of \((3x - y)^{6}\).

If \(P = \begin{pmatrix} 1 & 2 \\ 5 & 1 \end{pmatrix}\) and \(Q = \begin{pmatrix} 0 & 1 \\ 1 & 3 \end{pmatrix}\), find PQ.

If \(\begin{vmatrix}Â m-2 & m+1 \\ m+4 & m-2 \end{vmatrix} = -27\), find the value of m.