Psychometric Entrance Test (PET Israel) · Quantitative Reasoning

Word problems and algebra

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

Practise Word problems and algebra now

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

All 32 questions

  1. Machine A can finish a job in 9 hours and machine B can finish it in 18 hours. How many hours do they need working together?
  2. A car travels from city A to city B at 45 km/h and returns along the same road at 90 km/h. What is its average speed for the whole round trip?
  3. A theater sold 13 tickets for a total of 360 shekels. Adult tickets cost 40 shekels and child tickets cost 20 shekels. How many adult tickets were sold?
  4. A cyclist rides at 108 km/h. What is this speed in meters per second?
  5. The sum of 5 consecutive integers is 115. What is the largest of them?
  6. A car travels from city A to city B at 50 km/h and returns along the same road at 75 km/h. What is its average speed for the whole round trip?
  7. A theater sold 10 tickets for a total of 240 shekels. Adult tickets cost 30 shekels and child tickets cost 15 shekels. How many adult tickets were sold?
  8. What is the largest integer x satisfying 5x + 7 < 17?
  9. The sum of 3 consecutive integers is 18. What is the largest of them?
  10. A car travels from city A to city B at 30 km/h and returns along the same road at 60 km/h. What is its average speed for the whole round trip?
  11. A mother is now 4 times as old as her son. In 8 years she will be 2 times as old as he will be. How old is the son now?
  12. A theater sold 13 tickets for a total of 345 shekels. Adult tickets cost 45 shekels and child tickets cost 15 shekels. How many adult tickets were sold?
  13. What is the largest integer x satisfying 5x + 1 < 31?
  14. The sum of 3 consecutive integers is 36. What is the largest of them?
  15. A car travels from city A to city B at 60 km/h and returns along the same road at 90 km/h. What is its average speed for the whole round trip?
  16. A mother is now 5 times as old as her son. In 9 years she will be 2 times as old as he will be. How old is the son now?
  17. A theater sold 13 tickets for a total of 270 shekels. Adult tickets cost 30 shekels and child tickets cost 15 shekels. How many adult tickets were sold?
  18. A cyclist rides at 90 km/h. What is this speed in meters per second?
  19. What is the largest integer x satisfying 2x + 7 < 25?
  20. The sum of 4 consecutive integers is 62. What is the largest of them?
  21. A car travels from city A to city B at 60 km/h and returns along the same road at 120 km/h. What is its average speed for the whole round trip?
  22. A theater sold 10 tickets for a total of 270 shekels. Adult tickets cost 45 shekels and child tickets cost 15 shekels. How many adult tickets were sold?
  23. A cyclist rides at 54 km/h. What is this speed in meters per second?
  24. What is the largest integer x satisfying 2x + 3 < 25?
  25. The sum of 3 consecutive integers is 45. What is the largest of them?
  26. Machine A can finish a job in 6 hours and machine B can finish it in 3 hours. How many hours do they need working together?
  27. A mother is now 4 times as old as her son. In 10 years she will be 2 times as old as he will be. How old is the son now?
  28. A theater sold 9 tickets for a total of 275 shekels. Adult tickets cost 50 shekels and child tickets cost 25 shekels. How many adult tickets were sold?
  29. What is the largest integer x satisfying 4x + 3 < 19?
  30. Machine A can finish a job in 6 hours and machine B can finish it in 12 hours. How many hours do they need working together?
  31. A car travels from city A to city B at 20 km/h and returns along the same road at 30 km/h. What is its average speed for the whole round trip?
  32. A mother is now 4 times as old as her son. In 12 years she will be 3 times as old as he will be. How old is the son now?

Keep practising

More Psychometric Entrance Test (PET Israel) topics

All Psychometric Entrance Test (PET Israel) practice →

Word problems and algebra in other exams

Ready for the full Psychometric Entrance Test (PET Israel) test?

Take a mock testPsychometric Entrance Test (PET Israel) hub