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ACT American College Testing: Math Section Sample Questions:

1. If y = -6, what is the value of (y3 - 40) / (y - 2)?

A) 0
B) -32
C) 32
D) 64

2. What is the period of the function f(x) = csc(4x)?

A) π
B) 2π
C) 4π
D) π/4
E) π/2

3. If the statement "No penguins live at the North Pole" is true, which of the following statements must also be true?

A) If Flipper lives at the North Pole, then he is not a penguin.
B) All penguins live at the South Pole.
C) If Flipper does not live at the North Pole, then he is a penguin.
D) If Flipper is not a penguin, then he lives at the North Pole.
E) If Flipper is not a penguin, then he does not live at the North Pole.

4. What is the difference between 1.8 and

? (Note: A bar indicates a digit pattern that is repeated.)

A)

B)

C)

D)

E)

5. If set M contains only the positive factors of 8 and set N contains only the positive factors of 16, then the union of sets M and N:

A) contains only the elements that are in both sets M and N.
B) contains exactly the same elements that are in set N.
C) contains only even elements.
D) contains nine elements.
E) contains four elements.

Solutions: