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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

Question 1

If x is more than one-third the value of y, which of the following expresses the value of y in terms of x?

A. y = (x - 2) / 3
B. y = 3 × (x - 2)
C. y = (x + 2) / 3
D. y = 3 × (x - 6)

Question 2

The function m#n is equal to m 2 - n.
Which of the following is equivalent to m#(n#m)?

A. (m 2 - n) 2 - n
B. m2+ m - n 2
C. -n
D. (n 2 - m) 2 - m
E. n 2 - m

Question 3

In the diagram above, line AB is parallel to line CD, both lines are tangents to circle O and the diameter of circle O is equal in measure to the length of line OH.

If the diameter of circle O is 24 in, what is the measure of

?

A. 75º
B. 60º
C. 30º
D. 45º
E. Cannot be determined.

Question 4

In the diagram above, the length of a side of square ABCD is four units.

What is the area of the shaded region?

A. 4
B. 16π
C. 4 - 4π
D. 4 - π
E. 16 - 4π

Question 5

The length of a rectangle is one greater than three times its width. If the perimeter of the rectangle is 26 feet, what is the area of the rectangle?

A. 30 ft 2
B. 78 ft 2
C. 24 ft 2
D. 100 ft 2
E. 13 ft 2

Solutions: