EmSAT Achieve (UAE) Β· Mathematics

Calculus, Trigonometry and Statistics

15 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 15 questions

  1. Evaluate the derivative of .
  2. Find .
  3. Evaluate .
  4. What is the exact value of ?
  5. If and is an acute angle in the first quadrant, what is the value of ?
  6. What is the period of the trigonometric function ?
  7. Find the limit: .
  8. A bag contains 5 red balls, 3 blue balls, and 2 green balls. If one ball is drawn at random, what is the probability that it is NOT blue?
  9. Find the median of the data set: 12, 5, 8, 19, 21, 10, 15.
  10. If the mean of 5 numbers is 20, and a sixth number 26 is added, what is the new mean?
  11. Differentiate .
  12. What is the standard deviation of a dataset where all values are identical (e.g., 7, 7, 7, 7, 7)?
  13. Given 3D vectors and , what is the cosine of the angle between them?
  14. What is the limit ?
  15. What is the maximum value of on the closed interval ?

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