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ACT American College Testing: Math Section Sample Questions:

1. The statement "Raphael runs every Sunday" is always true.
Which of the following statements is also true?

A) If it is not Sunday, then Raphael does not run.
B) If it is Sunday, it is impossible to determine if Raphael runs.
C) If Raphael does not run, then it is not Sunday.
D) If it is Sunday, then Raphael does not run.
E) If Raphael runs, then it is Sunday.

2. What is x, the second term in the series of 1/3 + x + 1/27 + 1/81...?

A) 1/6
B) 1/15
C) 1/12
D) 1/9

3. The fluctuation of water depth at a pier is shown in the figure below.

One of the following values gives the positive difference, in feet, between the greatest water depth and the least water depth shown in this graph.
Which value is it?

A) 9
B) 12
C) 19
D) 6
E) 3

4. FILL BLANK
If 2a 2 + b = 10 and - (b/4 + 3a) = 11, what is the positive value of a?

5. If

, then a = ___.

A) 5
B)

C)

D)

E) 6

Solutions: