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ACT American College Testing: Math Section Sample Questions:

1. 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)

C) 5
D)

E)

2. What is the slope of the line -3y = 12x - 3?

A) 1
B) 12
C) 4
D) -4
E) -3

3. If m = 6, then the expression

is equal to:

A) -2.
B) 12.
C) 22.
D) -12.
E) 6.

4. Which of the following statements is always true if p is a rational number?

A)

B)

C)

D)

E)

5. 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) 18 3 - π(12) 3
B) 6(18) 2 - 2π(6)(12) - 2π(6) 2
C) 18 3 - π(6)(12) 2
D) 6(18) 2 - 2π(6)(12)
E) 18 3 - π(6) 2 (12)

Solutions: