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.
Given that \(f(x) = 2x^{2} - 3\) and \(g(x) = x + 1\) where \(x \in R\). Find g o f(x).
The velocity, V, of a particle after t seconds, is \(V = 3t^{2} + 2t - 1\). Find the acceleration of the particle after 2 seconds.
Find the magnitude and direction of the vector \(p = (5i - 12j)\)
Solve \(3^{2x} - 3^{x+2} = 3^{x+1} - 27\)
A force (10i + 4j)N acts on a body of mass 2kg which is at rest. Find the velocity after 3 seconds.
Given that a = 5i + 4j and b = 3i + 7j, evaluate (3a - 8b).
| Face | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 12 | 18 | y | 30 | 2y | 45 |
Given the table above as the result of tossing a fair die 150 times, find the mode.
| Face | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 12 | 18 | y | 30 | 2y | 45 |
Given the table above as the results of tossing a fair die 150 times. Find the probability of obtaining a 5.
Given that \( a = \begin{pmatrix} 2 \\ 3 \end{pmatrix}\) and \(b = \begin{pmatrix} -1 \\ 4 \end{pmatrix}\), evaluate \((2a - \frac{1}{4}b)\).
A fair die is tossed twice. What is its smple size?
In a class of 10 boys and 15 girls, the average score in a Biology test is 90. If the average score for the girls is x, find the average score for the boys in terms of x.
A curve is given by \(y = 5 - x - 2x^{2}\). Find the equation of its line of symmetry.
Differentiate \(\frac{5x^{3} + x^{2}}{x}, x\neq 0\) with respect to x.
The 3rd and 7th term of a Geometric Progression (GP) are 81 and 16. Find the 5th term.
There are 7 boys in a class of 20. Find the number of ways of selecting 3 girls and 2 boys
Simplify \(\frac{\sqrt{128}}{\sqrt{32} - 2\sqrt{2}}\)
Evaluate \(\int_{-1}^{0} (x+1)(x-2) \mathrm{d}x\)
If \(y = \frac{1+x}{1-x}\), find \(\frac{dy}{dx}\).
Given that \(f(x) = 5x^{2} - 4x + 3\), find the coordinates of the point where the gradient is 6.
A circle with centre (4,5) passes through the y-intercept of the line 5x - 2y + 6 = 0. Find its equation.