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

Harder multi-step problems

48 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 48 questions

  1. The sum of two numbers is 9 and their difference is 1. What is the larger number?
  2. Solve . What is ?
  3. A cyclist rides to a village at 30 km/h and returns by the same road at 60 km/h. What is the average speed for the whole trip?
  4. What is the total surface area of a cuboid measuring 8 cm by 5 cm by 6 cm?
  5. A rectangular screen is 9 cm wide and 12 cm high. What is the length of its diagonal?
  6. After a discount of 20% a bike costs 400 zloty. What was the price before the discount?
  7. The base of a prism is a right triangle with legs of 3 cm and 4 cm, and the prism is 5 cm high. What is its volume?
  8. A phone costs 500 zloty. The shop raises the price by 50% and later lowers the new price by 10%. What is the final price?
  9. The sum of two numbers is 7 and their difference is 3. What is the larger number?
  10. Solve . What is ?
  11. A cyclist rides to a village at 30 km/h and returns by the same road at 45 km/h. What is the average speed for the whole trip?
  12. A rectangular screen is 20 cm wide and 48 cm high. What is the length of its diagonal?
  13. After a discount of 10% a bike costs 180 zloty. What was the price before the discount?
  14. The base of a prism is a right triangle with legs of 8 cm and 10 cm, and the prism is 12 cm high. What is its volume?
  15. A phone costs 200 zloty. The shop raises the price by 25% and later lowers the new price by 10%. What is the final price?
  16. The sum of two numbers is 6 and their difference is 4. What is the larger number?
  17. Solve . What is ?
  18. A cyclist rides to a village at 50 km/h and returns by the same road at 75 km/h. What is the average speed for the whole trip?
  19. What is the total surface area of a cuboid measuring 7 cm by 4 cm by 5 cm?
  20. After a discount of 20% a bike costs 120 zloty. What was the price before the discount?
  21. The base of a prism is a right triangle with legs of 3 cm and 4 cm, and the prism is 12 cm high. What is its volume?
  22. A phone costs 400 zloty. The shop raises the price by 10% and later lowers the new price by 20%. What is the final price?
  23. The sum of two numbers is 11 and their difference is 1. What is the larger number?
  24. Solve . What is ?
  25. What is the total surface area of a cuboid measuring 4 cm by 3 cm by 6 cm?
  26. After a discount of 25% a bike costs 150 zloty. What was the price before the discount?
  27. The base of a prism is a right triangle with legs of 4 cm and 6 cm, and the prism is 11 cm high. What is its volume?
  28. A phone costs 500 zloty. The shop raises the price by 50% and later lowers the new price by 30%. What is the final price?
  29. The sum of two numbers is 8 and their difference is 6. What is the larger number?
  30. Solve . What is ?
  31. A cyclist rides to a village at 20 km/h and returns by the same road at 30 km/h. What is the average speed for the whole trip?
  32. What is the total surface area of a cuboid measuring 2 cm by 6 cm by 6 cm?
  33. A rectangular screen is 16 cm wide and 30 cm high. What is the length of its diagonal?
  34. After a discount of 20% a bike costs 240 zloty. What was the price before the discount?
  35. The base of a prism is a right triangle with legs of 8 cm and 10 cm, and the prism is 10 cm high. What is its volume?
  36. A phone costs 200 zloty. The shop raises the price by 20% and later lowers the new price by 20%. What is the final price?
  37. The sum of two numbers is 19 and their difference is 7. What is the larger number?
  38. Solve . What is ?
  39. A cyclist rides to a village at 40 km/h and returns by the same road at 60 km/h. What is the average speed for the whole trip?
  40. What is the total surface area of a cuboid measuring 3 cm by 2 cm by 3 cm?
  41. The base of a prism is a right triangle with legs of 3 cm and 4 cm, and the prism is 8 cm high. What is its volume?
  42. A phone costs 800 zloty. The shop raises the price by 20% and later lowers the new price by 10%. What is the final price?
  43. A cyclist rides to a village at 60 km/h and returns by the same road at 90 km/h. What is the average speed for the whole trip?
  44. What is the total surface area of a cuboid measuring 5 cm by 6 cm by 5 cm?
  45. After a discount of 10% a bike costs 216 zloty. What was the price before the discount?
  46. A rectangular screen is 30 cm wide and 40 cm high. What is the length of its diagonal?
  47. A rectangular screen is 15 cm wide and 20 cm high. What is the length of its diagonal?
  48. A rectangular screen is 24 cm wide and 70 cm high. What is the length of its diagonal?

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