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.
Which of the following is a singular matrix?
Simplify \(\frac{^{n}P_{4}}{^{n}C_{4}}\)
A committee of 4 is to be selected from a group of 5 men and 3 women. In how many ways can this be done if the chairman of the committee must be a man?
The mean age of n men in a club is 50 years. Two men aged 55 and 63 years left the club, and the mean age reduced by 1 year. Find the value of n.
Evaluate \(\lim \limits_{x \to 1} \frac{1 - x}{x^{2} - 3x + 2}\)
Evaluate \(\log_{0.25} 8\)
Find the sum of the exponential series \(96 + 24 + 6 +...\)
The roots of the equation \(2x^{2} + kx + 5 = 0\) are \(\alpha\) and \(\beta\), where k is a constant. If \(\alpha^{2} + \beta^{2} = -1\), find the values of k.
Find the equation of the line passing through (0, -1) and parallel to the y- axis.
Find the coefficient of \(x^{4}\) in the binomial expansion of \((1 - 2x)^{6}\).
If \(f(x) = \frac{1}{2 - x}, x \neq 2\), find \(f^{-1}(-\frac{1}{2})\).
Given that \((\sqrt{3} - 5\sqrt{2})(\sqrt{3} + \sqrt{2}) = p + q\sqrt{6}\), find q.
Given that \(\frac{1}{8^{2y - 3y}} = 2^{y + 2}\).
Two functions f and g are defined by \(f : x \to 3x - 1\) and \(g : x \to 2x^{3}\), evaluate \(fg(-2)\).
If \((x - 3)\) is a factor of \(2x^{3} + 3x^{2} - 17x - 30\), find the remaining factors.
A binary operation ♦ is defined on the set R, of real numbers by \(a ♦ b = \frac{ab}{4}\). Find the value of \(\sqrt{2} ♦ \sqrt{6}\).
Simplify \(\sqrt{(\frac{-1}{64})^{\frac{-2}{3}}}\).
Solve the inequality \(2x^{2} + 5x - 3 \geq 0\).
\(P = {x : 1 \leq x \leq 6}\) and \(Q = {x : 2 < x < 9}\) where \(x \in R\), find \(P \cap Q\).