Ylioppilastutkinto (Finnish Matriculation) · Mathematics

General Mathematics: Algebra, Functions, Geometry and Financial Math

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

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In algebra (mathematics), what is the solution to the linear equation $4 (2 x - 3) = 3 (x + 6)$ ?
In financial mathematics, an investment of $2000$ euros earns $5%$ compound interest annually. What is its value after $2$ years?
In geometry (mathematics), what is the total surface area of a cube with edge length $5 cm$ ?
In statistics and probability, what is the median of the dataset ${3, 7, 8, 12, 14, 19, 21}$ ?
In algebra (mathematics), what are the roots of the quadratic equation $x^{2} - 7 x + 10 = 0$ ?
In financial mathematics, a consumer price index rose from $112.0$ to $118.72$ over two years. What was the exact percentage increase?
In geometry (mathematics), what is the volume of a right circular cone with base radius $3 cm$ and height $10 cm$ ?
In statistics and probability, a standard fair six-sided die is rolled twice. What is the probability of obtaining a sum of $7$ ?
In financial mathematics, what is the monthly payment of a fixed annuity loan of $12000$ euros for $1$ year at $0%$ nominal interest?
In algebra (mathematics), what is the solution to the system of equations $2 x + y = 11$ and $x - y = 1$ ?
In financial mathematics, a shirt priced at $80$ euros is discounted by $20%$ , and then an additional $10%$ loyalty discount is applied to the discounted price. What is the final price?
In geometry (mathematics), in a right triangle, the hypotenuse is $13 cm$ and one leg is $5 cm$ . What is the length of the other leg?
In statistics and probability, what is the sample standard deviation $s$ of the numbers ${2, 4, 6, 8, 10}$ ?
In algebra (mathematics), what is the equation of the line passing through $(0, 4)$ with slope $m = - 2$ ?
In financial mathematics, if an employee earns a gross monthly salary of $3000$ euros and their total tax and deduction rate is $28%$ , what is their net monthly take-home pay?
In geometry (mathematics), a right triangular prism has a base with legs $6 cm$ and $8 cm$ and a length of $15 cm$ . What is its volume?
In algebra (mathematics), simplifying the expression $\frac{x ^{2} - 9}{x - 3}$ for $x \neq = 3$ yields which result?
In statistics and probability, what is the interquartile range (IQR) of a dataset with lower quartile $Q_{1} = 18$ and upper quartile $Q_{3} = 34$ ?
In financial mathematics, a bank charges $6%$ annual interest compounded semi-annually. What is the effective annual rate (EAR)?
In geometry (mathematics), what is the circumference of a circle with an area of $49 π cm^{2}$ ?
In statistics and probability, how many distinct 3-person committees can be selected from a group of 8 candidates?
In algebra (mathematics), for what values of $k$ does the quadratic equation $x^{2} + k x + 9 = 0$ have no real roots?
In financial mathematics, a television originally priced at $500$ euros has its price increased by $10%$ and subsequently reduced by $10%$ . What is its new price?
In geometry (mathematics), in a right triangle with an acute angle of $3 0^{\circ}$ and hypotenuse $10 cm$ , what is the length of the side opposite the $3 0^{\circ}$ angle?
In statistics and probability, what is the probability of obtaining at least one six when tossing three fair six-sided dice?
In algebra (mathematics), what is the value of $x$ satisfying $3^{2 x - 1} = 27$ ?
In financial mathematics, if a stock index stood at $800$ in year 2020 and reached $1000$ in 2024, what was the total capital growth percentage?
In geometry (mathematics), what is the volume of a sphere whose surface area is $36 π cm^{2}$ ?
In algebra (mathematics), what is the vertex of the parabola $y = 2 x^{2} - 8 x + 5$ ?
In statistics and probability, what is the mean of the numbers $12, 15, 18, 21, 24$ ?
In financial mathematics, how much principal must be invested today at $6%$ annual simple interest to accumulate to $2600$ euros after $5$ years?
In geometry (mathematics), what is the area of a parallelogram with base $12 cm$ and corresponding height $7 cm$ ?
In statistics and probability, a box contains 4 red balls and 6 blue balls. If two balls are drawn at random without replacement, what is the probability that both balls are red?
In algebra (mathematics), what is the value of $x$ in the equation $lo g_{10} (x) + lo g_{10} (5) = 2$ ?
In geometry (mathematics), two similar triangles have areas in the ratio $9 : 25$ . What is the ratio of their corresponding perimeters?
In financial mathematics, an item costs $124$ euros including a $24%$ value-added tax (ALV). What is the pre-tax price of the item?
In algebra (mathematics), which interval represents the solution to the inequality $3 - 2 x < 7$ ?
In geometry (mathematics), what is the diagonal length of a rectangle with sides $8 cm$ and $6 cm$ ?
In financial mathematics, a student takes a loan of $5000$ euros at $5%$ annual interest. If no payments are made for $3$ years, how much compound interest has accumulated?
In statistics and probability, what is the probability of choosing a prime number at random from the integers $1$ to $10$ inclusive?
In algebra (mathematics), expanding $(2 x - 3)^{2}$ results in which polynomial?
In geometry (mathematics), a trapezoid has parallel bases of $10 cm$ and $16 cm$ , and a height of $7 cm$ . What is its area?
In algebra (mathematics), what is the slope of the line passing through points $(2, 5)$ and $(6, 13)$ ?

General Mathematics: Algebra, Functions, Geometry and Financial Math

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