Državna Matura (Serbia) · Mathematics

Mathematics

43 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 43 questions

In mathematics, what are the solutions to the equation $x^{2} - 7 x + 12 = 0$ ?
In mathematics, what is the 15th term of an arithmetic sequence with first term $a_{1} = 4$ and common difference $d = 3$ ?
In mathematics, what is the exact value of $lo g_{2} (32) + lo g_{3} (81)$ ?
In mathematics, what is the derivative of $f (x) = \frac{x ^{2}}{x + 1}$ for $x \neq = - 1$ ?
In mathematics, what is the value of the definite integral $\int_{0}^{3} (2 x + 1) d x$ ?
In mathematics, how many solutions does the equation $sin (2 x) = 0$ have in the interval $[0, 2 π)$ ?
In mathematics, in how many ways can a delegation of 4 representatives be chosen from a group of 9 candidates?
In mathematics, what is the probability of rolling a sum of 7 when rolling two fair six-sided dice?
In mathematics, what is the value of the limit $lim_{x \to 0} \frac{1 + x - 1}{x}$ ?
In mathematics, what is the sum of the first 5 terms of a geometric sequence with $a_{1} = 3$ and ratio $q = 2$ ?
In mathematics, what are the center and radius of the circle defined by $x^{2} + y^{2} - 6 x + 8 y = 0$ ?
In mathematics, what is the x-coordinate of the inflection point of the cubic function $f (x) = x^{3} - 6 x^{2} + 9 x - 2$ ?
In mathematics, what is the dot product of vectors $u = (2, - 3)$ and $v = (5, 4)$ ?
In mathematics, what is the area enclosed between the parabola $y = x^{2}$ and the line $y = 4$ ?
In mathematics, what is the solution to $lo g_{2} (x - 1) + lo g_{2} (x + 1) = 3$ ?
In mathematics, what is the determinant of the $3 \times 3$ matrix $A = 100240356$ ?
In mathematics, if $cos (x) = - \frac{3}{5}$ and $x \in (π, \frac{3 π}{2})$ , what is the value of $sin (x)$ ?
In mathematics, what is the maximum value of the function $f (x) = - 2 x^{2} + 8 x - 3$ ?
In mathematics, what is the Euclidean distance between points $A (- 1, 2)$ and $B (3, 5)$ in the Cartesian plane?
In mathematics, what is the coefficient of $x^{3}$ in the expansion of $(2 x + 1)^{5}$ ?
In mathematics, what is the solution set of the inequality $3 - 2 x < 7$ ?
In mathematics, what is the slope of the tangent line to the curve $y = e^{2 x} + ln (x)$ at $x = 1$ ?
In mathematics, what is the solution to the equation $4^{x} - 3 \cdot 2^{x} - 4 = 0$ ?
In mathematics, what is the angle between vectors $a = (1, 1)$ and $b = (0, 2)$ ?
In mathematics, what is the modulus (absolute value) of the complex number $z = 3 - 4 i$ ?
In mathematics, what is the antiderivative $\int x e^{x} d x$ ?
In mathematics, what is the domain of the real function $f (x) = 6 - 2 x$ ?
In mathematics, what is the sum of the infinite geometric series $12 + 6 + 3 + \frac{3}{2} + \dots$ ?
In mathematics, what are the coordinates of the midpoint of the line segment joining $P (- 2, 7)$ and $Q (4, 1)$ ?
In mathematics, if $tan (x) = 2$ , what is the exact value of $sin (2 x)$ ?
In mathematics, what are the roots of the cubic equation $x^{3} - 4 x = 0$ ?
In mathematics, what is the value of $\int_{0}^{π} sin (x) d x$ ?
In mathematics, what is the solution to $\frac{2}{x} + \frac{1}{3} = \frac{5}{6}$ ?
In mathematics, what is the inverse function of $f (x) = \frac{2 x - 3}{x + 1}$ for $x \neq = - 1$ ?
In mathematics, what is the probability of drawing an Ace from a standard well-shuffled 52-card deck?
In mathematics, if a random variable $X$ follows $N (μ, σ^{2})$ and $P (X < 50) = 0.5$ , what is the mean $μ$ ?
In mathematics, what is the slope of a straight line perpendicular to the line with equation $y = - \frac{2}{3} x + 4$ ?
In mathematics, what is the value of $lim_{x \to \infty} \frac{4 x ^{3} - 2 x + 7}{2 x ^{3} + 5 x ^{2} - 1}$ ?
In mathematics, if $lo g_{10} (2) \approx 0.301$ and $lo g_{10} (3) \approx 0.477$ , what is $lo g_{10} (6)$ ?
In mathematics, what is the remainder when the polynomial $P (x) = x^{4} - 3 x^{2} + 2 x - 5$ is divided by $x - 2$ ?
In mathematics, for what value of $k$ are vectors $u = (2, k)$ and $v = (6, - 9)$ collinear?
In mathematics, what is the value of $\int_{0}^{l n (2)} e^{2 x} d x$ ?
In mathematics, what is the distance from the point $(1, 2)$ to the line $3 x + 4 y - 1 = 0$ ?

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