2017 JAMB Mathematics Past Questions

Find \( \scriptsize \int (x^2\:  + \: 3x \: – \: 5) dx \)

Evaluate \( \frac{0.0028213}{0.634} \) and give your answer in standard form

Calculate the simple interest on ₦6,500 for 4 years at 6 %

Given the quadrilateral RSTO inscribed in the circle above with O as Centre. Find the size of the angle x

The locus of a point which is equidistant from the line PQ forms a

Evaluate Sin 45º + Sin 30º in surd form.

From the table calculate the mean of the scores

Evaluate \( \scriptsize 1 \; – \; \left(\frac{1}{5} \; \times \; \scriptsize 1 \frac{2}{3} \right) \; + \;  \left( \scriptsize 5 \; \div \; 1 \frac{2}{3} \right) \)

Find the gradient of the line joining the points (3, 2) and (1, 4)

If a rod 10cm in length was measured as 10.5 cm, calculate the percentage error

Given M = \( \scriptsize N \sqrt{\normalsize\frac{SL}{T}} \), make T the subject of the formula

Evaluate \( \frac{0.00000231}{0.007} \) and leave the answer in standard form

In how many ways can the word MACICITA be arranged?

Differentiate y = 3Cos 2x – Sin4x

Given T = {even numbers from 1 to 12}, N = {common factors of 6, 8 and 12}. Find \( \scriptsize T \cap  N \)

What is the product of 2x² – x + 1 and 3 – 2x

What is the geometric mean of 9 and 16?

y is inversely proportional to x and y = 6, when x = 7. Find the constant of the variation

Solve (x – 3) (x + 2) < 0

In the figure above find x

Find the base in which the following addition was performed

In class of 45 students, 20 offer geography while 28 offer chemistry. How many students offer both?

If temperature t is directly proportional to heat h, and when t = 20⁰c, h = 50J, find t when h = 60J

The base in which the operation was performed was

Find the number of ways that the letters of the word EXCELLENCE be arranged

A ladder 9m long leans against a vertical wall so that its upper end is 6.5m from the ground. How far is the foot from the wall?

Find the sum to infinity of the series \( \frac{1}{4}, \frac{1}{8}, \frac{1}{16} …… \)

Find the factors of 2x² + 5x – 3

Find the value of x for which the function 3x² – x – 6 is minimum.

Find the inverse of the matrix \( \scriptsize \begin{pmatrix} 3 & 3 \\ 5 & 6 \end{pmatrix} \)

The pie chart above shows all allocation of money to each sector in a farm. The total amount allocated to the farm is ₦80, 000. What amount was allocated for fertilizer?

Find the range of the following set of numbers 0.4, – 0.4, 0.3, 0.47, – 0.53, 0.2 and – 0.2

Find the median of the distribution of scores above

A fair die is tossed twice. What is the probability of getting a sum greater or equal to 7?

Find the equation of a line which passes through the point (1, – 1) and (3, 2)

Simplify \( \scriptsize 4 \sqrt{27} + 5 \sqrt{12} \; – \; 3 \sqrt {75} \)

The operation *  on the set R of real numbers is defined by x * y = 3x + 2y – 1, find 3 *   – 1.

If K = \( \scriptsize \begin{pmatrix} 3 & 1 \\ 4 & 0 \end{pmatrix} \)

find 5K – 4I

where I is a (2×2) identity matrix.

Find the area of a triangle PQR where line |PQ|  = 36 cm, |QR|  = 15 and angle PQR = 90⁰.

In the diagram above MN, PQ and RS are parallel lines. What is the value of the angle marked x?