Study and practice Further Mathematics past questions with answers and detailed explanations. Then test your knowledge using our interactive CBT practice platform and prepare confidently for your upcoming examinations.
Create and set up a CBT environment with your preferred subjects.
Practice JAMB CBT with real UTME past questions in CBT format.
CB-WASSCE styled past question practice.
SSCE & GCE styled past question practice.
The inverse of a function is given by \(f^{-1} : x \to \frac{x + 1}{4}\).
Solve \(9^{2x + 1} = 81^{3x + 2}\)
A line is perpendicular to \(3x - y + 11 = 0\) and passes through the point (1, -5). Find its equation.
If \(y^{2} + xy - x = 0\), find \(\frac{\mathrm d y}{\mathrm d x}\).
Find \(\lim \limits_{x \to 3} \frac{x + 3}{x^{2} - x - 12}\)
\(f(x) = (x^{2} + 3)^{2}\) is defines on the set of real numbers, R. Find the gradient of f(x) at x = \(\frac{1}{2}\).
The sum and product of the roots of a quadratic equation are \(\frac{4}{7}\) and \(\frac{5}{7}\) respectively. Find its equation.
\(f(x) = p + qx\), where p and q are constants. If f(1) = 7 and f(5) = 19, find f(3).
The equation of a circle is \(3x^{2} + 3y^{2} + 6x - 12y + 6 = 0\). Find its radius
Solve \(3x^{2} + 4x + 1 > 0\)
Simplify \(\sqrt[3]{\frac{8}{27}} - (\frac{4}{9})^{-\frac{1}{2}}\)
A function is defined by \(f(x) = \frac{3x + 1}{x^{2} - 1}, x \neq \pm 1\). Find f(-3).
Find the remainder when \(5x^{3} + 2x^{2} - 7x - 5\) is divided by (x - 2).
Evaluate \(\cos (\frac{\pi}{2} + \frac{\pi}{3})\)
If \(\log_{9} 3 + 2x = 1\), find x.
Express 75° in radians, leaving your answer in terms of \(\pi\).
A binary operation * is defined on the set of real numbers R, by a* b = -1. Find the identity element under the operation *.
What is the angle between \(a = (3i - 4j)\) and \(b = (6i + 4j)\)?
Simplify \((1 + 2\sqrt{3})^{2} - (1 - 2\sqrt{3})^{2}\)
Find the maximum value of \(2 + \sin (\theta + 25)\).