Tawjihiya Bahrain (Secondary School Certificate) · Advanced Mathematics

Probability, counting and sequences

19 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 19 questions

  1. The first term of an arithmetic sequence is -2 and the common difference is 4. What is the 10th term?
  2. A geometric sequence has first term 3 and common ratio 2. What is the 6th term?
  3. A club has 6 members. In how many ways can a committee of 2 be chosen?
  4. The first term of an arithmetic sequence is 3 and the common difference is 2. What is the 15th term?
  5. 7 runners compete in a race. In how many ways can the first 2 places be awarded?
  6. The first term of an arithmetic sequence is 5 and the common difference is -3. What is the 10th term?
  7. A geometric sequence has first term 1 and common ratio 3. What is the 4th term?
  8. A club has 10 members. In how many ways can a committee of 2 be chosen?
  9. The first term of an arithmetic sequence is 10 and the common difference is 3. What is the 12th term?
  10. A geometric sequence has first term 4 and common ratio 3. What is the sum of its first 4 terms?
  11. 8 runners compete in a race. In how many ways can the first 3 places be awarded?
  12. The first term of an arithmetic sequence is 5 and the common difference is -3. What is the sum of the first 12 terms?
  13. A geometric sequence has first term 3 and common ratio 2. What is the 5th term?
  14. The first term of an arithmetic sequence is 5 and the common difference is 2. What is the 10th term?
  15. A geometric sequence has first term 5 and common ratio 3. What is the 5th term?
  16. A club has 8 members. In how many ways can a committee of 2 be chosen?
  17. The first term of an arithmetic sequence is 10 and the common difference is -3. What is the sum of the first 12 terms?
  18. A geometric sequence has first term 1 and common ratio 3. What is the sum of its first 6 terms?
  19. 8 runners compete in a race. In how many ways can the first 2 places be awarded?

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