Alberta Diploma Exams Β· Mathematics 30-1

Trigonometry, counting and probability

21 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 21 questions

  1. What is in radians?
  2. What is the exact value of ?
  3. What is the exact value of ?
  4. The terminal arm of an angle in standard position passes through . What is ?
  5. What is the period of ?
  6. What is the range of ?
  7. A rider's height in metres is with in seconds. How long is one full revolution?
  8. Solve for .
  9. Solve for .
  10. Which expression is equivalent to ?
  11. If and is in quadrant I, what is ?
  12. What is the value of ?
  13. What is the value of ?
  14. What is the value of ?
  15. How many distinct arrangements are there of the letters of the word BANANA?
  16. A committee of 3 is chosen from 5 men and 4 women. How many committees have at least one woman?
  17. Two cards are drawn without replacement from a standard 52-card deck. What is the probability that both are hearts?
  18. What is the coefficient of in the expansion of ?
  19. How many terms are in the expansion of ?
  20. A licence plate has 3 letters followed by 2 digits, with repetition allowed. How many plates are possible?
  21. Five people sit in a row and two of them, Ana and Raj, must sit together. How many arrangements are possible?

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