Stúdentspróf (Iceland) · Mathematics

Algebra, Functions, Calculus and Probability

37 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 37 questions

  1. Solve the equation .
  2. What is ?
  3. What is the slope of the line through the points and ?
  4. Differentiate .
  5. What is ?
  6. Solve .
  7. What is the sum of the interior angles of a hexagon?
  8. For which does have a local minimum?
  9. Evaluate .
  10. A right triangle has legs of length 5 and 12. How long is the hypotenuse?
  11. An arithmetic sequence has first term 4 and common difference 3. What is the sum of its first 10 terms?
  12. What is the eighth term of the geometric sequence ?
  13. Solve .
  14. Solve .
  15. Two fair dice are rolled. What is the probability that the sum is 7?
  16. The data set is . Which statement is correct?
  17. What is the area of a circle with radius 3?
  18. What are the coordinates of the vertex of ?
  19. What is the sum of the infinite geometric series ?
  20. What is the domain of ?
  21. If and is an acute angle, what is ?
  22. Let and . What is ?
  23. Solve the system , .
  24. A price rises by 25% and then falls by 20%. Compared with the original price, the final price is
  25. In how many ways can a committee of 2 people be chosen from 6 people?
  26. Solve the inequality .
  27. A farmer uses 60 m of fence to enclose a rectangular field on three sides, with a straight wall forming the fourth side. What is the largest possible area?
  28. What is the area of the region enclosed by and ?
  29. What is the equation of the tangent to at ?
  30. Solve .
  31. A bag holds 3 red and 2 blue balls. Two balls are drawn without replacement. What is the probability that at least one is blue?
  32. A fair coin is tossed 5 times. What is the probability of exactly 2 heads?
  33. Find .
  34. A triangle has two sides of length 7 and 8 with an angle of between them. How long is the third side?
  35. What is the maximum value of for ?
  36. The sum of the first terms of a sequence is . What is the fifth term ?
  37. The function is considered on . What is its smallest value on that interval?

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