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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

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

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

2. The diagonal of one face of a cube measures 4√2 in.
What is the volume of the cube?

A) 192 in 3
B) 96 in 3
C) 128√2 in 3
D) 24√2 in 3
E) 64 in 3

3. In the diagram above, if line AB is parallel to line CD, and line EF is perpendicular to lines AB and CD, all of the following are true EXCEPT:

A) c + b = g.
B) e = a + b + 90.
C) a + h = g.
D) a + b + d = 90.
E) a + h + f = b + g + d.

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

5. If p < 0, q > 0, and r > p, then which of the following must be true?

A) rp < rq
B) pr < rq
C) r + q > q
D) p + r > 0
E) p + r < r + q

Solutions: