2017 JAMB Mathematics Past Questions CBT

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 10 cm 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 2×2 – 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 = 20ºc, h = 50 J, find t when h = 60 J.

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

Find the sum to infinity of the serie:

\( \frac{1}{4}, \:\frac{1}{8},\: \frac{1}{16} …… \)

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 = 90º.

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