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.
Solve: \(2\cos x - 1 = 0\).
Simplify \(\frac{1 - 2\sqrt{5}}{2 + 3\sqrt{2}}\).
Express (14N, 240°) as a column vector.
Evaluate \(\frac{\tan 120° + \tan 30°}{\tan 120° - \tan 60°}\)
Find \(\lim\limits_{x \to 3} (\frac{x^{3} + x^{2} - 12x}{x^{2} - 9})\)
Find the distance between the points (2, 5) and (5, 9).
A ball is thrown vertically upwards with a velocity of 15\(ms^{-1}\). Calculate the maximum height reached. \([g = 10ms^{-2}]\)
If the points (-1, t -1), (t, t - 3) and (t - 6, 3) lie on the same straight line, find the values of t.
Find the variance of 1, 2, 0, -3, 5, -2, 4.
In how many ways can 9 people be seated on a bench if only 3 places are available?
A particle accelerates at 12\(ms^{-2}\) and travels a distance of 250m in 6 seconds. Find the initial velocity of the particle.
For what values of m is \(9y^{2} + my + 4\) a perfect square?
The first term of a linear sequence is 9 and the common difference is 7. If the nth term is 380, find the value of n.
Find the equation of a circle with centre (2, -3) and radius 2 units.
The deviations from the mean of a set of numbers are \((k+3)^{2}, (k+7), -2, \text{k and (} k+2)^{2}\), where k is a constant. Find the value of k.
Forces 90N and 120N act in the directions 120° and 240° respectively. Find the resultant of these forces.
If a fair coin is tossed four times, what is the probability of obtaining at least one head?
Find the coefficient of \(x^3\) in the binomial expansion of \((3x + 4)^4\) in ascending powers of x.
Find the angle between \((5i + 3j)\) and \((3i - 5j)\).
Given that \(AB = \begin{pmatrix} 4 \\ 3 \end{pmatrix}\) and \(AC = \begin{pmatrix} 2 \\ -3 \end{pmatrix}\), find |BC|.