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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

Question 1

The graph of a function y = f ( x ) consists of 3 line segments.
The graph and the coordinates of the endpoints of the 3 line segments are shown in the standard ( x , y ) coordinate plane below.

What is the area, in square coordinate units, of the region bounded by the graph of y = f ( x ), the positive y -axis, and the positive x -axis?

A. 14
B. 15
C. 20
D. 10
E. 13

Question 2

What is the tenth term of the pattern below?
2/3, 4/9, 8/27, 16/81 ...

A. (2/3)2/3
B. 20/30
C. 2/310
D. 210/3
E. (2/3)10

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

Question 4

In the diagram above, side OB

side OC.

Which of the following is the measure of minor arc BC?

A. 27.5º
B. 70º
C. 55º
D. 45º
E. 110º

Question 5

What is the probability that a number selected at random from the set {2, 4, 5, 7, 9, 10, 12, 13, 18, 20, 60, 124} will be divisible by both 2 and 5?

A. 1/4
B. 1/12
C. 3/4
D. 2/12

Solutions: