IB Mathematics SL Prep - Question List

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1. Which of the following methods can be used to determine the values of the trigonometric functions of a given angle?
  1. Use your scientific calculator (or your own if you can find it).
  2. Interpolate values from trigonometric tables in your recalculus book.
  3. Derive the values using infinite series equations for sine and cosine functions.
  4. All of the above
2.

Fill in the blank: The right-hand column shown in the table below lists _______ for the indefinite integral F(x).

F’(x) = f (x) F(x) = f(x)dx
1/x Log | x |
Sin x -cos x
Cos x Sin x

  1. Derivatives
  2. Elementary functions
  3. Elementary integrals
  4. None of the above
3. If y = 2x + 1, what is the arithmetic mean of 2x, 2x, y, and 3y, in terms of x?
  1. 2x
  2. 2x + 1
  3. 3 x + 1
  4. None of the above
4. Alex runs a lemonade stand in the summertime. He averages $75 per week. How much will he make over the 12 weeks of his summer vacation?
  1. $800
  2. $844
  3. $900
  4. $924
  5. $975
5. Given a right triangle (ABC) with side a = 30.30 ft and side b = 20.20 ft, what is the length of the hypotenuse c?
  1. 3.64 ft
  2. 36.41 ft
  3. 364.16 ft
  4. 3641.62 ft

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