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

Arithmetic, algebra, geometry and statistics

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

All 130 questions

  1. Marta is 13 years old. Her mother is 2 times as old as Marta. How old will Marta's mother be in 7 years?
  2. Solve the equation . What is ?
  3. Solve . What is ?
  4. What is 12% of 160?
  5. A jacket costs 400 zloty. During a sale the price is reduced by 25%. What is the new price?
  6. In a class of 120 students, 12 come to school by bike. What percentage of the class is that?
  7. A bus travels at an average speed of 45 km/h for 0.5 hours. How far does it travel?
  8. A train covers 180 km at a constant speed of 60 km/h. How long does the journey take?
  9. A rectangle has sides of 9 cm and 5 cm. What is its area?
  10. A triangle has a base of 20 cm and a height of 9 cm. What is its area?
  11. What is the circumference of a circle with radius 12 cm?
  12. A cuboid is 8 cm long, 3 cm wide and 7 cm high. What is its volume?
  13. Two angles of a triangle measure 67° and 59°. What is the third angle?
  14. What is the sum of the interior angles of a polygon with 9 sides?
  15. What is the mean of the numbers 20, 4, 15, 17, 17, 17?
  16. What is the median of 20, 2, 7, 9, 11?
  17. A bag has 8 red, 5 blue and 1 green balls. One ball is drawn at random. What is the probability that it is red?
  18. Which expression equals ?
  19. What is ?
  20. What is the value of when ?
  21. Marta is 9 years old. Her mother is 4 times as old as Marta. How old will Marta's mother be in 4 years?
  22. Solve the equation . What is ?
  23. Solve . What is ?
  24. What is 30% of 400?
  25. A jacket costs 200 zloty. During a sale the price is reduced by 30%. What is the new price?
  26. In a class of 60 students, 18 come to school by bike. What percentage of the class is that?
  27. A bus travels at an average speed of 60 km/h for 0.25 hours. How far does it travel?
  28. A rectangle has sides of 4 cm and 12 cm. What is its area?
  29. A triangle has a base of 11 cm and a height of 12 cm. What is its area?
  30. What is the circumference of a circle with radius 5 cm?

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