Pancyprian Examinations (Cyprus) Β· Mathematics

Complex Numbers, Sequences, Probability and Geometry

20 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 20 questions

  1. A geometric sequence has first term and common ratio . What is the sum of its first terms?
  2. Three numbers form an arithmetic progression with sum and product . What is the absolute value of the common difference?
  3. Two fair dice are rolled. What is the probability that the sum is ?
  4. In how many ways can a committee of people be chosen from candidates?
  5. A bag holds red and blue balls. Two balls are drawn without replacement. What is the probability that both are red?
  6. For events and , and . What is ?
  7. Let and . What is ?
  8. What is the distance between the points and ?
  9. Find the line through that is perpendicular to the line .
  10. Which equation describes the circle with centre and radius ?
  11. Evaluate .
  12. Solve .
  13. Solve .
  14. What is the value of ?
  15. How many solutions does have in , and what are they?
  16. What is the period of the function ?
  17. What is the minimum value of ?
  18. What is the inverse function of ?
  19. Find .
  20. Solve the inequality .

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