JAMB Mathematics 2019 test

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JAMB Mathematics 2019

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Solve the inequality: -7 ≤ 9 - 8x < 16 - x

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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.

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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.

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

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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.

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

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

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

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Age in years7891011
No of pupils41330449

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

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If 6x6x^3 + 2x^2 - 5x + 1 divides x^2 - x - 1 find the remainder.

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

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

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

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

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

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

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

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Given \sin 58° = \cos p° find p.

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

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

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The nth term of a sequence is given by 22n−1. Find the sum of the first four terms.

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Simplify 81− ^{\frac{-3}{4}} x 25 ^{\frac{1}{2}} x 243

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Simplify\frac {25 \frac{2}{3} +  25 \frac{1}{6}} {(\frac{1}{5}) \frac{7}{6} \times (\frac{1}{5}) \frac{1}{6}}

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In how many ways can the word MATHEMATICIAN be arranged?

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

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

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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?

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

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

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

Scores (Mark)012345
No of students437862

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

 

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

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

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Score (x)0123456
Freq (f)57371167

Find the variance

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

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

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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.

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Score (x)0123456
Freq (f)57371167

Find the mean of the data.

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

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

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