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ACT American College Testing: Math Section Sample Questions:

1. Which of the following expressions is equivalent to x2/3?

A)

B)

C)

D)

E)

2. The equation |2x - 8| + 3 = 5 has 2 solutions.
Those solutions are equal to the solutions to which of the following pairs of equations?

A) 2x - 8 = 8 - (2x - 8) = 8
B) 2x - 8 = 2 - (2x - 8) = 8
C) 2x - 8 = 2 -2x - 8 = 2
D) 2x - 8 = 2 - (2x - 8) = 2
E) 2x - 5 = 5 -2x - 5 = -5

3. If 30% of r is equal to 75% of s, what is 50% of s if r = 30?

A) 12
B) 9
C) 6
D) 15
E) 4.5

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

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

5. What is the degree measure of the obtuse angle formed by the hands of a 12-hour clock that reads exactly one o'clock?

A) 135°
B) 165°
C) 150°
D) 120°

Solutions: