Riigieksamid (Estonian State Exams) · Mathematics

Algebra, Functions, Calculus and Probability

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

Practise Algebra, Functions, Calculus and Probability now

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

All 36 questions

Solve $4 x - 9 = 3 x + 5$ .
Differentiate $f (x) = 5 x^{3}$ .
Simplify $\frac{x ^{2} - 9}{x - 3}$ for $x \neq = 3$ .
What is $2 \cdot 8$ ?
What is $lo g_{5} 125$ ?
What is the area of a circle with diameter 10?
What are the slope and the $y$ -intercept of the line $y = - 2 x + 7$ ?
Solve $x^{2} + 2 x - 15 = 0$ .
Evaluate $\int_{0}^{3} 2 x d x$ .
What is the slope of the tangent to $f (x) = x^{2} - 4 x$ at $x = 3$ ?
Solve $tan x = 1$ for $0 < x < π$ .
An arithmetic sequence has $a_{1} = 5$ and $d = - 2$ . What is the first negative term?
What is the sum of the first 6 terms of the geometric sequence $2, 6, 18, \dots$ ?
A fair coin is tossed three times. What is the probability of at least two heads?
What is the median of $3, 9, 4, 7, 12, 5$ ?
What is $ln (e^{3}) + lo g_{10} 100$ ?
What is the length of the vector $a = (1, 2, 2)$ ?
What are the centre and the radius of the circle $(x + 1)^{2} + (y - 3)^{2} = 16$ ?
A price is reduced by 20% and then by a further 10%. Which single reduction gives the same final price?
What is the maximum value of $f (x) = - x^{2} + 6 x - 5$ ?
A culture of 500 bacteria doubles every 3 hours. How many bacteria are there after 12 hours?
Find $lim_{x \to \infty} \frac{3 x ^{2} + 1}{x ^{2} - 5}$ .
Solve $lo g_{3} (x + 2) = 2$ .
In how many ways can 5 people sit in a row if two particular people must sit next to each other?
What is $\sum_{k = 1}^{20} (3 k - 1)$ ?
A 40 cm wire is cut into two pieces, and each piece is bent into a square. What is the smallest possible total area of the two squares?
What is the area of the region between $y = x^{2}$ and $y = 2 x$ ?
The region under $y = x^{2}$ for $0 \leq x \leq 1$ is rotated about the $x$ -axis. What is the volume of the solid?
Urn A holds 2 red and 3 blue balls, and urn B holds 4 red and 1 blue ball. An urn is chosen at random and a ball is drawn. The ball is red. What is the probability that it came from urn A?
What is the maximum value of $f (x) = \frac{l n x}{x}$ for $x > 0$ ?
Find $\int \frac{2 x}{x ^{2} + 1} d x$ .
Solve $2 sin^{2} x + sin x - 1 = 0$ for $0 \leq x < 2 π$ .
A triangle has sides 13, 14 and 15. What is its area?
Solve $2 ln x - ln (x + 6) = ln 2$ .
A fair die is rolled 4 times. What is the probability of at least one six?
What is the maximum value of $f (x) = x^{3} - 12 x$ on the interval $[- 3, 3]$ ?

Keep practising

More Riigieksamid (Estonian State Exams) topics

Language, Epic and Literature36 questions
From the Middle Ages to the European Union36 questions
Algebra, võrrandid ja võrrandisüsteemid17 questions
Estonian Grammar, Morphology and Syntax15 questions
Soviet and Nazi Occupations, the Singing Revolution and Restoration12 questions
Trigonomeetria ja funktsioonide uurimine11 questions
Diferentsiaal- ja integraalarvutus11 questions
Vektorid, analüütiline geomeetria ja tõenäosusteooria11 questions

All Riigieksamid (Estonian State Exams) practice →

Algebra, Functions, Calculus and Probability in other exams

Algebra, Functions, Calculus and Probability for Brandos Atestatas (Lithuania)93 questions
Algebra, Functions, Calculus and Probability for Vitnemål Eksamen (Norway)79 questions
Algebra, Functions, Calculus and Probability for Stúdentspróf (Iceland)37 questions
Algebra, Functions, Calculus and Probability for Ylioppilastutkinto (Finnish Matriculation)37 questions
Algebra, Functions, Calculus and Probability for CESS & Examen d'entrée (Belgium)34 questions

Ready for the full Riigieksamid (Estonian State Exams) test?

Take a mock test Riigieksamid (Estonian State Exams) hub