JAMB Mathematics Past Questions (2016)

In how many ways can a delegation of $3$ be chosen from $5$ men and $3$ women, if at least $1$ man and $1$ woman must be included?

A crate of soft drinks contains $10$ bottles of Cococola, $8$ of Fanta and $6$ of Sprite, if one bottle is selected at random, what is the probability that it is NOT a Coca-Cola bottle?

The mid-point of the segment of the line $y = 12x + 15$ which lies between the $x$-axis and $y$-axis is

In the figure above, PQS parallelogram and TSR straight line. If the area of the trapezium PQRT is $20 \text{cm}^2$, find the area of the trapezium PQRT.

Without using tables evaluate $(343)^{-1/3} \times (0.14)^{-1} \times (25)^{-1/2}$

A man bought a second-hand photocopying machine for $\text{N}34,000$. He serviced it at a cost of $\text{N}2,000$ and then sold it at a profit of $15\%$. What was the selling price?

Simplify $3\frac{1}{3} - \frac{11}{4} \times \frac{2}{3} + \frac{1}{5}$

Find the value of $p$ if the line joining $(p, 4)$ and $(6, -2)$ is perpendicular to the line joining $(2, p)$ and $(-1, 3)$.

Find the values of $p$ for which the equation $x^2 - (p-2)x + 2p+1 = 0$ has equal roots.

Find the equation of the curve which passes through the point $(2, 5)$ and whose gradient at any point is given by $6x - 5$.