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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

1. FILL BLANK
The length of a rectangular prism is four times the height of the prism and one-third the width of the prism. If the volume of the prism is 384 in3, what is the width of the prism?

2. The number 1,001 is the product of the prime numbers 7, 11, and 13. Knowing this, what is the prime factorization of 30,030?

A) 30 · 7 · 11 · 13
B) 3 · 7 · 10 · 13
C) 2 · 5 · 7 · 11 · 13
D) 3 · 7 · 10 · 11 · 13
E) 2 · 3 · 5 · 7 · 11 · 13

3. In the diagram above,

is
congruent to

, and

is congruent to

.

If the ratio of the length of AB to the length of EB is 5:1, and the area of triangle BED = 5 a 2 + 10, what is area of triangle ABC?

A) 25a 2 + 50
B) Cannot be determined.
C) 5a 2 + 10
D) 125a 2 + 250
E) 25a 2 + 100

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

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

5. In the standard (x, y) coordinate plane, what is the slope of the line given by the equation 4x = 7y + 5?

A) -4/7
B) 4/7
C) 7
D) 7/4
E) 4

Solutions: