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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

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

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

2. If g > 0 and h < 0, which of the following is always positive?

A) hg
B) g × h
C) |h| - |g|
D) g + h
E) g - h

3. In the diagram above, lines EF and GH are parallel, and line AB is perpendicular to lines EF and GH.

What is the length of line AB?

A)

B) 5
C)

D)

E)

4. A box in the shape of a cube has an interior side length of 18 inches and is used to ship a right circular cylinder with a radius of 6 inches and a height of 1 2 inches. The interior of the box not occupied by the cylinder is filled with packing material.
Which of the following numerical expressions gives the number of cubic inches of the box filled with packing material?

A) 6(18) 2 - 2π(6)(12) - 2π(6) 2
B) 18 3 - π(12) 3
C) 6(18) 2 - 2π(6)(12)
D) 18 3 - π(6) 2 (12)
E) 18 3 - π(6)(12) 2

5. John took out a cash advance of x dollars from a financing company. The company deducts a fee of 1/4 of the original advanced amount along with a transfer fee of $25.
Which of the following represents the final advanced amount that John receives after all applied fees in dollars?

A) 1/4x - 25
B) 1/4 × (x - 25)
C) 3/4 × (x - 25)
D) 3/4x - 25

Solutions: