2009 WAEC SSCE Further Mathematics Past Questions

2009

Given that \(\log_{3}(x - y) = 1\) and \(\log_{3}(2x + y) = 2\), find the value of x.

2009

Simplify \((216)^{-\frac{2}{3}} \times (0.16)^{-\frac{3}{2}}\)

2009

The derivative of a function f with respect to x is given by \(f'(x) = 3x^{2} - \frac{4}{x^{5}}\). If \(f(1) = 4\), find f(x).

2009

The roots of a quadratic equation are -3 and 1. Find its equation.

2009

p and q are statements such that \(p \implies q\). Which of the following is a valid conclusion from the implication?

2009

The first term of a geometric progression is 350. If the sum to infinity is 250, find the common ratio.

2009

An arc of length 10.8 cm subtends an angle of 1.2 radians at the centre of a circle. Calculate the radius of the circle.

2009

The gradient of point P on the curve \(y = 3x^{2} - x + 3\) is 5. Find the coordinates of P.

2009

Given that \(2^{x} = 0.125\), find the value of x.

2009

The roots of the quadratic equation \(2x^{2} - 5x + m = 0\) are \(\alpha\) and \(\beta\), where m is a constant. Find \(\alpha^{2} + \beta^{2}\) in terms of m.

2009

Express \(\frac{2}{3 - \sqrt{7}} \text{ in the form} a + \sqrt{b}\), where a and b are integers.

2009

Which of the following binary operations is not commutative?

2009

Find the coefficient of \(x^{4}\) in the binomial expansion of \((2 + x)^{6}\).

2009

Given \(\sin \theta =Â \frac{\sqrt{3}}{2}, 0Â° \leq \theta \leq 90Â°\), find \(\tan 2\theta\) in surd form.

2009

The coordinates of the centre of a circle is (-2, 3). If its area is \(25\pi cm^{2}\), find its equation.

2009

2009 WAEC SSCE Further Mathematics Past Questions

Given that \(\log_{3}(x - y) = 1\) and \(\log_{3}(2x + y) = 2\), find the value of x.

Simplify \((216)^{-\frac{2}{3}} \times (0.16)^{-\frac{3}{2}}\)

The derivative of a function f with respect to x is given by \(f'(x) = 3x^{2} - \frac{4}{x^{5}}\). If \(f(1) = 4\), find f(x).

The roots of a quadratic equation are -3 and 1. Find its equation.

p and q are statements such that \(p \implies q\). Which of the following is a valid conclusion from the implication?

The first term of a geometric progression is 350. If the sum to infinity is 250, find the common ratio.

An arc of length 10.8 cm subtends an angle of 1.2 radians at the centre of a circle. Calculate the radius of the circle.

The gradient of point P on the curve \(y = 3x^{2} - x + 3\) is 5. Find the coordinates of P.

Given that \(2^{x} = 0.125\), find the value of x.

The roots of the quadratic equation \(2x^{2} - 5x + m = 0\) are \(\alpha\) and \(\beta\), where m is a constant. Find \(\alpha^{2} + \beta^{2}\) in terms of m.

Express \(\frac{2}{3 - \sqrt{7}} \text{ in the form} a + \sqrt{b}\), where a and b are integers.

Which of the following binary operations is not commutative?

Find the coefficient of \(x^{4}\) in the binomial expansion of \((2 + x)^{6}\).

Given \(\sin \theta =Â \frac{\sqrt{3}}{2}, 0Â° \leq \theta \leq 90Â°\), find \(\tan 2\theta\) in surd form.

The coordinates of the centre of a circle is (-2, 3). If its area is \(25\pi cm^{2}\), find its equation.

If (x + 3) is a factor of the polynomial \(x^{3} + 3x^{2} + nx - 12\), where n is a constant, find the value of n.

Solve \(x^{2} - 2x - 8 > 0\).

2009 WAEC SSCE Further Mathematics Past Questions

Given that \(\log_{3}(x - y) = 1\) and \(\log_{3}(2x + y) = 2\), find the value of x.

Simplify \((216)^{-\frac{2}{3}} \times (0.16)^{-\frac{3}{2}}\)

The derivative of a function f with respect to x is given by \(f'(x) = 3x^{2} - \frac{4}{x^{5}}\). If \(f(1) = 4\), find f(x).

The roots of a quadratic equation are -3 and 1. Find its equation.

p and q are statements such that \(p \implies q\). Which of the following is a valid conclusion from the implication?

The first term of a geometric progression is 350. If the sum to infinity is 250, find the common ratio.

An arc of length 10.8 cm subtends an angle of 1.2 radians at the centre of a circle. Calculate the radius of the circle.

The gradient of point P on the curve \(y = 3x^{2} - x + 3\) is 5. Find the coordinates of P.

Given that \(2^{x} = 0.125\), find the value of x.

The roots of the quadratic equation \(2x^{2} - 5x + m = 0\) are \(\alpha\) and \(\beta\), where m is a constant. Find \(\alpha^{2} + \beta^{2}\) in terms of m.

Express \(\frac{2}{3 - \sqrt{7}} \text{ in the form} a + \sqrt{b}\), where a and b are integers.

Which of the following binary operations is not commutative?

Find the coefficient of \(x^{4}\) in the binomial expansion of \((2 + x)^{6}\).

Given \(\sin \theta =Â \frac{\sqrt{3}}{2}, 0Â° \leq \theta \leq 90Â°\), find \(\tan 2\theta\) in surd form.

The coordinates of the centre of a circle is (-2, 3). If its area is \(25\pi cm^{2}\), find its equation.

If (x + 3) is a factor of the polynomial \(x^{3} + 3x^{2} + nx - 12\), where n is a constant, find the value of n.

Solve \(x^{2} - 2x - 8 &gt; 0\).

Solve \(x^{2} - 2x - 8 > 0\).