Državna Matura (Serbia) · Mathematics

Algebra, Functions, Geometry and Probability

36 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 36 questions

  1. Solve .
  2. Two angles of a triangle are and . What is the third angle?
  3. A rectangle is 8 cm long and 5 cm wide. What is its perimeter?
  4. Expand .
  5. What is the volume of a cube with an edge of 4 cm?
  6. Simplify .
  7. The roots of are and . Find .
  8. Calculate .
  9. Solve .
  10. Find the midpoint of the segment joining and .
  11. Write the equation of the line through with slope .
  12. A triangle has sides 13, 14 and 15. What is its area?
  13. An arithmetic sequence has and common difference . Find .
  14. A geometric sequence has and ratio . Find the sum of the first 5 terms.
  15. Differentiate .
  16. Calculate .
  17. Solve .
  18. Find the value of .
  19. A cone has base radius 3 and slant height 5. What is its lateral surface area?
  20. What is the volume of a sphere with radius 3?
  21. A fair coin is tossed three times. What is the probability of exactly two heads?
  22. In how many different ways can the four letters M, A, T, H be arranged in a row?
  23. Solve the inequality .
  24. What is the domain of ?
  25. Find the remainder when is divided by .
  26. Find the radius of the circle .
  27. What is the sum of the interior angles of an octagon?
  28. A line has slope 2. What is the slope of a line perpendicular to it?
  29. A rectangular box has edges 3, 4 and 12. What is the length of its space diagonal?
  30. The roots of are 2 and . Find and .
  31. Find the greatest value of on the interval .
  32. The sum of the first terms of a sequence is . Find .
  33. An urn holds 4 white and 6 black balls. Two balls are drawn without replacement. What is the probability that both are black?
  34. At which point is the tangent to parallel to the line ?
  35. Solve .
  36. Solve for .

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