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

Probability, counting and sequences

34 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 34 questions

  1. A bag has 4 red and 5 blue marbles. Two marbles are drawn one after the other without replacement. What is the probability that both are red?
  2. 7 runners compete in a race. In how many ways can the first 2 places be awarded?
  3. The first term of an arithmetic sequence is 10 and the common difference is -3. What is the sum of the first 10 terms?
  4. What is the median of the data set 15, 5, 11, 13, 8, 12, 6?
  5. A bag has 3 red and 4 blue marbles. Two marbles are drawn one after the other without replacement. What is the probability that both are red?
  6. 6 runners compete in a race. In how many ways can the first 2 places be awarded?
  7. The first term of an arithmetic sequence is 7 and the common difference is 3. What is the sum of the first 15 terms?
  8. A geometric sequence has first term 2 and common ratio 3. What is the sum of its first 4 terms?
  9. A bag has 5 red and 5 blue marbles. Two marbles are drawn one after the other without replacement. What is the probability that both are red?
  10. A club has 8 members. In how many ways can a committee of 3 be chosen?
  11. The first term of an arithmetic sequence is -2 and the common difference is 5. What is the sum of the first 15 terms?
  12. A geometric sequence has first term 3 and common ratio 2. What is the 6th term?
  13. What is the median of the data set 2, 11, 15, 4, 9, 5, 9?
  14. A bag has 3 red and 5 blue marbles. Two marbles are drawn one after the other without replacement. What is the probability that both are red?
  15. A club has 7 members. In how many ways can a committee of 2 be chosen?
  16. The first term of an arithmetic sequence is 5 and the common difference is 3. What is the 10th term?
  17. A geometric sequence has first term 4 and common ratio 3. What is the 6th term?
  18. What is the median of the data set 2, 15, 6, 14, 6, 11, 5?
  19. A bag has 4 red and 4 blue marbles. Two marbles are drawn one after the other without replacement. What is the probability that both are red?
  20. 6 runners compete in a race. In how many ways can the first 3 places be awarded?
  21. The first term of an arithmetic sequence is 10 and the common difference is -3. What is the 10th term?
  22. What is the median of the data set 11, 9, 9, 8, 9, 3, 15?
  23. A club has 6 members. In how many ways can a committee of 2 be chosen?
  24. The first term of an arithmetic sequence is 10 and the common difference is 3. What is the 20th term?
  25. A geometric sequence has first term 1 and common ratio 2. What is the 5th term?
  26. What is the median of the data set 14, 2, 5, 13, 14, 9, 7?
  27. A club has 8 members. In how many ways can a committee of 2 be chosen?
  28. The first term of an arithmetic sequence is 5 and the common difference is 2. What is the 12th term?
  29. A geometric sequence has first term 5 and common ratio 2. What is the 5th term?
  30. A bag has 2 red and 3 blue marbles. Two marbles are drawn one after the other without replacement. What is the probability that both are red?
  31. A club has 9 members. In how many ways can a committee of 3 be chosen?
  32. The first term of an arithmetic sequence is 7 and the common difference is 3. What is the sum of the first 12 terms?
  33. A geometric sequence has first term 1 and common ratio 3. What is the 6th term?
  34. What is the median of the data set 7, 14, 5, 2, 4, 7, 6?

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