Pancyprian Examinations (Cyprus) · Mathematics

Algebra, Functions and Calculus

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. Solve the equation .
  2. What are the roots of ?
  3. What is the discriminant of ?
  4. The roots of are real. What is ?
  5. Find the domain of .
  6. What is the derivative of ?
  7. Differentiate .
  8. Differentiate .
  9. Evaluate .
  10. Find the equation of the tangent line to at the point where .
  11. For , at which value of does have a local minimum?
  12. A farmer has m of fencing and encloses a rectangular field using a straight wall as one side, so only three sides need fencing. What is the largest possible area?
  13. Find .
  14. Evaluate .
  15. What is the area of the region enclosed by the graphs of and ?
  16. Compute .
  17. What is the modulus of the complex number ?
  18. What is the value of , where ?
  19. An arithmetic sequence has first term and common difference . What is the 10th term?
  20. For the arithmetic sequence with and , what is the sum of the first terms?

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