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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

1. Membership fees for NetFilms streaming service include a one-time membership fee of $10 and ongoing monthly fees of $5.
How many months would you be able to buy with $120 after the membership fee is removed?

A) 22
B) 25
C) 23
D) 24

2. In the diagram above, the length of a side of square ABCD is four units.

What is the area of the shaded region?

A) 4
B) 4 - π
C) 4 - 4π
D) 16 - 4π
E) 16π

3. Given a positive integer n such that i n = 1, which of the following statements about n must be true? (Note: i 2 = -1)

A) When n is divided by 4, the remainder is 3.
B) Cannot be determined from the given information.
C) When n is divided by 4, the remainder is 2.
D) When n is divided by 4, the remainder is 1.
E) When n is divided by 4, the remainder is 0.

4. 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) 3 · 7 · 10 · 13
B) 2 · 5 · 7 · 11 · 13
C) 30 · 7 · 11 · 13
D) 3 · 7 · 10 · 11 · 13
E) 2 · 3 · 5 · 7 · 11 · 13

5. Which of the following is equivalent to (2 x + 6) / 4 times (6 x - 36) / (3 x + 9)?

A) (8x - 30) / (3x + 13)
B) x - 6
C) (12x 2 - 216) / (12x + 36)
D) (x - 6) / 4

Solutions: