Egzamin Osmoklasisty (Eighth-Grade Exam, Poland) · Mathematics

Arithmetic, algebra, geometry and statistics

130 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 130 questions

Solve $4 x = 1 x + 12$ . What is $x$ ?
What is 10% of 240?
A jacket costs 400 zloty. During a sale the price is reduced by 10%. What is the new price?
A bus travels at an average speed of 45 km/h for 3 hours. How far does it travel?
A train covers 240 km at a constant speed of 60 km/h. How long does the journey take?
A rectangle has sides of 15 cm and 3 cm. What is its area?
A triangle has a base of 4 cm and a height of 12 cm. What is its area?
A right triangle has legs of 8 cm and 15 cm. How long is the hypotenuse?
What is the circumference of a circle with radius 6 cm?
A cuboid is 4 cm long, 8 cm wide and 2 cm high. What is its volume?
Two angles of a triangle measure 67° and 63°. What is the third angle?
What is the sum of the interior angles of a polygon with 12 sides?
What is the mean of the numbers 4, 13, 13, 11, 8, 17?
What is the median of 34, 11, 19, 37, 13, 29, 5?
A bag has 4 red, 6 blue and 1 green balls. One ball is drawn at random. What is the probability that it is red?
Which expression equals $1 0^{4} \cdot 1 0^{4}$ ?
What is $\frac{1}{2} + \frac{3}{5}$ ?
Convert 4.8 km to metres.
What is the value of $5 x + 3$ when $x = 3$ ?
Marta is 14 years old. Her mother is 3 times as old as Marta. How old will Marta's mother be in 6 years?
Solve the equation $2 x + 6 = 8$ . What is $x$ ?
Solve $10 x = 4 x + 48$ . What is $x$ ?
What is 40% of 240?
A jacket costs 40 zloty. During a sale the price is reduced by 30%. What is the new price?
In a class of 40 students, 30 come to school by bike. What percentage of the class is that?
Anna and Piotr share 54 stickers in the ratio $3 : 6$ . How many stickers does Anna get?
A bus travels at an average speed of 72 km/h for 0.5 hours. How far does it travel?
A train covers 60 km at a constant speed of 60 km/h. How long does the journey take?
A rectangle has sides of 7 cm and 5 cm. What is its area?
A triangle has a base of 4 cm and a height of 11 cm. What is its area?
A right triangle has legs of 7 cm and 24 cm. How long is the hypotenuse?
What is the circumference of a circle with radius 7 cm?
A cuboid is 7 cm long, 7 cm wide and 3 cm high. What is its volume?
Two angles of a triangle measure 58° and 32°. What is the third angle?
What is the sum of the interior angles of a polygon with 5 sides?
What is the mean of the numbers 7, 9, 6, 4, 9, 19?
What is the median of 11, 39, 31, 4, 9?
A bag has 5 red, 7 blue and 5 green balls. One ball is drawn at random. What is the probability that it is red?
Which expression equals $3^{4} \cdot 3^{5}$ ?
What is $\frac{3}{4} + \frac{1}{6}$ ?
Convert 6.4 km to metres.
What is the value of $2 x + 6$ when $x = 1$ ?
Marta is 14 years old. Her mother is 3 times as old as Marta. How old will Marta's mother be in 3 years?
Solve the equation $2 x + 4 = - 2$ . What is $x$ ?
Solve $5 x = 3 x + 14$ . What is $x$ ?
What is 75% of 360?
A jacket costs 250 zloty. During a sale the price is reduced by 25%. What is the new price?
In a class of 40 students, 12 come to school by bike. What percentage of the class is that?
A bus travels at an average speed of 90 km/h for 0.5 hours. How far does it travel?
A train covers 90 km at a constant speed of 90 km/h. How long does the journey take?
A rectangle has sides of 8 cm and 10 cm. What is its area?
A triangle has a base of 6 cm and a height of 5 cm. What is its area?
A right triangle has legs of 3 cm and 4 cm. How long is the hypotenuse?
What is the area of a circle with radius 6 cm?
A cuboid is 9 cm long, 6 cm wide and 3 cm high. What is its volume?
Two angles of a triangle measure 55° and 52°. What is the third angle?
What is the mean of the numbers 19, 8, 4, 10, 15, 4?
What is the median of 15, 33, 26, 5, 28?
A bag has 5 red, 4 blue and 2 green balls. One ball is drawn at random. What is the probability that it is red?
Which expression equals $3^{2} \cdot 3^{4}$ ?
What is $\frac{1}{2} + \frac{1}{3}$ ?
What is the value of $6 x + 3$ when $x = 2$ ?
Marta is 10 years old. Her mother is 2 times as old as Marta. How old will Marta's mother be in 3 years?
Solve the equation $9 x + 7 = - 20$ . What is $x$ ?
Solve $6 x = 4 x + 12$ . What is $x$ ?
What is 5% of 160?
A jacket costs 250 zloty. During a sale the price is reduced by 30%. What is the new price?
Anna and Piotr share 55 stickers in the ratio $6 : 5$ . How many stickers does Anna get?
A bus travels at an average speed of 60 km/h for 2 hours. How far does it travel?
A train covers 120 km at a constant speed of 30 km/h. How long does the journey take?
A rectangle has sides of 15 cm and 9 cm. What is its area?
A right triangle has legs of 12 cm and 16 cm. How long is the hypotenuse?
What is the area of a circle with radius 11 cm?
A cuboid is 7 cm long, 4 cm wide and 6 cm high. What is its volume?
Two angles of a triangle measure 46° and 42°. What is the third angle?
What is the sum of the interior angles of a polygon with 8 sides?
What is the mean of the numbers 19, 8, 14, 19, 20?
What is the median of 10, 36, 14, 33, 27, 23, 6?
A bag has 5 red, 7 blue and 6 green balls. One ball is drawn at random. What is the probability that it is red?
Which expression equals $3^{3} \cdot 3^{2}$ ?
What is the value of $4 x + 4$ when $x = 1$ ?
Marta is 13 years old. Her mother is 4 times as old as Marta. How old will Marta's mother be in 4 years?
Solve the equation $5 x - 1 = 44$ . What is $x$ ?
Solve $9 x = 3 x + 12$ . What is $x$ ?
What is 60% of 40?
A jacket costs 400 zloty. During a sale the price is reduced by 50%. What is the new price?
Anna and Piotr share 40 stickers in the ratio $6 : 2$ . How many stickers does Anna get?
A bus travels at an average speed of 60 km/h for 3 hours. How far does it travel?
A rectangle has sides of 10 cm and 12 cm. What is its area?
A triangle has a base of 20 cm and a height of 14 cm. What is its area?
A right triangle has legs of 6 cm and 8 cm. How long is the hypotenuse?
A cuboid is 2 cm long, 3 cm wide and 6 cm high. What is its volume?
Two angles of a triangle measure 71° and 50°. What is the third angle?
What is the mean of the numbers 3, 10, 10, 4, 8?
What is the median of 21, 3, 22, 9, 8, 30, 23?
A bag has 3 red, 3 blue and 4 green balls. One ball is drawn at random. What is the probability that it is red?
Which expression equals $5^{5} \cdot 5^{5}$ ?
What is $\frac{2}{3} + \frac{1}{4}$ ?
Convert 3.2 km to metres.
What is the value of $5 x + 5$ when $x = 2$ ?

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