University of Bahrain Aptitude Test (UOB Aptitude) · Mathematics Reasoning

Word problems and algebra

33 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 33 questions

  1. Machine A can finish a job in 10 hours and machine B can finish it in 15 hours. How many hours do they need working together?
  2. 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?
  3. 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?
  4. A theater sold 13 tickets for a total of 360 dinars. Adult tickets cost 40 dinars and child tickets cost 20 dinars. How many adult tickets were sold?
  5. A cyclist rides at 36 km/h. What is this speed in meters per second?
  6. What is the largest integer x satisfying ?
  7. The sum of 5 consecutive integers is 35. What is the largest of them?
  8. 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?
  9. A theater sold 10 tickets for a total of 270 dinars. Adult tickets cost 45 dinars and child tickets cost 15 dinars. How many adult tickets were sold?
  10. A cyclist rides at 54 km/h. What is this speed in meters per second?
  11. What is the largest integer x satisfying ?
  12. The sum of 5 consecutive integers is 80. What is the largest of them?
  13. A theater sold 8 tickets for a total of 275 dinars. Adult tickets cost 50 dinars and child tickets cost 25 dinars. How many adult tickets were sold?
  14. A cyclist rides at 72 km/h. What is this speed in meters per second?
  15. What is the largest integer x satisfying ?
  16. The sum of 3 consecutive integers is 27. What is the largest of them?
  17. 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?
  18. 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?
  19. A theater sold 13 tickets for a total of 345 dinars. Adult tickets cost 45 dinars and child tickets cost 15 dinars. How many adult tickets were sold?
  20. The sum of 4 consecutive integers is 50. What is the largest of them?
  21. 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?
  22. A theater sold 13 tickets for a total of 450 dinars. Adult tickets cost 50 dinars and child tickets cost 25 dinars. How many adult tickets were sold?
  23. A cyclist rides at 108 km/h. What is this speed in meters per second?
  24. What is the largest integer x satisfying ?
  25. The sum of 3 consecutive integers is 45. What is the largest of them?
  26. 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?
  27. A theater sold 9 tickets for a total of 220 dinars. Adult tickets cost 40 dinars and child tickets cost 20 dinars. How many adult tickets were sold?
  28. The sum of 5 consecutive integers is 65. What is the largest of them?
  29. A car travels from city A to city B at 40 km/h and returns along the same road at 60 km/h. What is its average speed for the whole round trip?
  30. What is the largest integer x satisfying ?
  31. Machine A can finish a job in 20 hours and machine B can finish it in 30 hours. How many hours do they need working together?
  32. A theater sold 10 tickets for a total of 240 dinars. Adult tickets cost 30 dinars and child tickets cost 15 dinars. How many adult tickets were sold?
  33. What is the largest integer x satisfying ?

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