JAMB Mathematics Past Questions (2013)

The mean of seven numbers is $10$. If six of the numbers are $2, 4, 8, 14, 16$ and $18$, find the mode.

Calculate the median age of the frequency distribution in the table above

Evaluate $\frac{1.25 \times 0.025}{0.05}$ correct to $2$ decimal place

Evaluate $3(x + 2) > 6(x + 3)$

What is the probability that an integer $x$ ($1 \leq x \leq 25$) chosen at random is divisible by both $2$ and $3$?

If $\tan \theta = \frac{3}{4}$, find the value of $\sin \theta + \cos \theta$

If $y = (2x+2)^3$, find $\frac{dy}{dx}$

Integrate $\frac{1+x}{x^2} dx$

The remainder when $6p - 47p + 30$ is divided by $p - 2$

P varies jointly as $m^2$ and varies inversely as $q$. If $p = 4, m = 3$ and $u = 2$ and $q = 1$, find the value of $p$ when $m = 6, u = 4$ and $q = \frac{8}{5}$