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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

1. Which of the following is the equation of a parabola whose vertex is at (5, -4)?

A) y = (x - 5) 2 - 4
B) y = (x + 5) 2 - 4
C) y = x 2 - 29
D) y = (x + 5) 2 + 4
E) y = (x - 5) 2 + 4

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

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

3. Toby wants to find the volume of a solid toy soldier. He fills a rectangular container 8 cm long, 6 cm wide, and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm.
Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?

A) 192
B) 125
C) 208
D) 317
E) 156

4. If m = 6, then the expression

is equal to:

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

5. FILL BLANK

In the diagram above, lines K and L are parallel, and lines M and N are parallel. If b = 8, then a = ____.

Solutions: