JAMB Mathematics 2019 Past Questions

Make q the subject of the formula in the equation \(\frac{mn}{a^2} - \frac{pq}{b^2} = 1\)

The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

A binary operation \(\otimes\) is defined by \(m \otimes n = mn + m - n\) on the set of real numbers, for all m, n \(\in\) R. Find the value of 3 \(\otimes\) (2 \(\otimes\) 4).

The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is

In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?

Rationalize \(\frac{\sqrt{2} + \sqrt{3}}{\sqrt{2} - \sqrt{3}}\)

Find the length of the chord |AB| in the diagram shown above.

Given \(\sin 58° = \cos p°\), find p.

\(\frac{\frac{2}{3} \div \frac{4}{5}}{\frac{1}{4} + \frac{3}{5} - \frac{1}{3}}\)

If \(6x^3 + 2x^2 - 5x + 1\) divides \(x^2 - x - 1\), find the remainder.

If a fair coin is tossed 3 times, what is the probability of getting at least two heads?

In how many ways can the word MATHEMATICIAN be arranged?

Given matrix M = \(\begin{vmatrix} -2 & 0 & 4 \\ 0 & -1 & 6 \\ 5 & 6 & 3 \end{vmatrix}\), find \(M^{T} + 2M\)

Find the mean of the data.

Find the variance

The locus of a point which moves so that it is equidistant from two intersecting straight lines is the

From the cyclic quadrilateral MNOP above, find the value of x.

If \(4\sin^2 x - 3 = 0\), find the value of x, when 0° \(\leq\) x \(\leq\) 90°

In the figure above, |CD| is the base of the triangle CDE. Find the area of the figure to the nearest whole number.

The marks scored by 30 students in a Mathematics test are recorded in the table below:

What is the total number of marks scored by the children?

If given two points A(3, 12) and B(5, 22) on a x-y plane. Find the equation of the straight line with intercept at 2.

If P(2, m) is the midpoint of the line joining Q(m, n) and R(n, -4), find the values of m and n.

If \(\begin{vmatrix} 2 & -4 \\ x & 9 \end{vmatrix} = 58\), find the value of x.

If \(y = 6x^3 + 2x^{-2} - x^{-3}\), find \(\frac{\mathrm d y}{\mathrm d x}\).

\(\frac{d}{dx} [\log (4x^3 - 2x)]\) is equal to

If \(f(x) = 3x^3 + 4x^2 + x - 8\), what is the value of f(-2)?

Solve for x in \(\frac{4x - 6}{3} \leq \frac{3 + 2x}{2}\)

Solve the inequality: -7 \(\leq\) 9 - 8x < 16 - x

The nth term of a sequence is given by 2\(^{2n - 1}\). Find the sum of the first four terms.

Integrate \(\int_{-1} ^{2} (2x^2 + x) \mathrm {d} x\)

If P varies inversely as the square root of q, where p = 3 and q = 16, find the value of q when p = 4.

Tade bought 200 mangoes at 4 for ₦2.50. 30 out of the mangoes got spoilt and the remaining were sold at 2 for ₦2.40. Find the percentage profit or loss.

The simple interest on ₦8550 for 3 years at x% per annum is ₦4890. Calculate the value of x to the nearest whole number.

Simplify 81\(^{\frac{-3}{4}}\) x 25\(^{\frac{1}{2}}\) x 243\(^{\frac{2}{5}}\)

Find the value of \(\frac{(0.5436)^3}{0.017 \times 0.219}\) to 3 significant figures.

If S = (4t + 3)(t - 2), find ds/dt when t = 5 secs.

The angles of a polygon are given by 2x, 5x, x and 4x respectively. The value of x is

The weight of a day-old chick was measured to be 0.21g. If the actual weight of the chick is 0.18g, what was the percentage error in the measurement?

Evaluate \((\frac{6}{0.32} \div \frac{2}{0.084})^{-1}\) correct to 1 decimal place.

If 2\(^{x + y}\) = 16 and 4\(^{x - y} = \frac{1}{32}\), find the values of x and y.

Simplify \(\frac{0.0839 \times 6.381}{5.44}\) to 2 significant figures.

Find the value of x and y in the simultaneous equation: 3x + y = 21; xy = 30

Points X and Y are 20km North and 9km East of point O, respectively. What is the bearing of Y from X? Correct to the nearest degree.

If \(P = (\frac{Q(R - T)}{15})^{\frac{1}{3}}\), make T the subject of the formula.

In the diagram above, O is the centre of the circle ABC, < ABO = 26° and < BOC = 130°. Calculate < AOC.

Each of the interior angles of a regular polygon is 140°. Calculate the sum of all the interior angles of the polygon.

A man bought a car newly for ₦1,250,000. He had a crash with the car and later sold it at the rate of ₦1,085,000. What is the percentage gain or loss of the man?

If the volume of a frustrum is given as \(V = \frac{\pi h}{3} (R^2 + Rr + r^2)\), find \(\frac{\mathrm d V}{\mathrm d R}\).

Express \((0.0439 \div 3.62)\) as a fraction.

If \(25^{1 - x} \times 5^{x + 2} \div (\frac{1}{125})^{x} = 625^{-1}\), find the value of x.