JAMB Mathematics Past Questions (2011)

The derivative of $(2x + 1)^3$ is

Find the value of $x$ at the minimum point of the curve $y = x^2 - x + 1$.

The bar chart above shows the distribution of SS2 students in a school. Find the total number of students.

The pie chart shows the distribution of courses offered to students. What percentage of students offer English?

Find the remainder when $x^3 - 2x^2 + 3x - 3$ is divided by $x^2 + 1$.

In how many ways can the letters of the word ELATION be arranged?

A binary operation $\oplus$ on numbers is defined by $x \oplus y = x^2 + x + y$ for two real numbers $x$ and $y$. Find the value of $3 \oplus (-2)$.

Find the derivative of $\frac{\sin \theta}{\cos \theta}$.

Evaluate $\begin{vmatrix} 4 & 2 & -1 \\ 2 & 3 & -1 \\ -1 & 1 & 3 \end{vmatrix}$.

In a right-angled triangle, if $\tan \theta = \frac{3}{4}$. What is $\cos \theta - \sin \theta$?