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ACT ACT-Math Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Integrating Essential Skills | 40–43% | - Problem Solving
|
| Preparing for Higher Math | 57–60% | - Number & Quantity
|
ACT American College Testing: Math Section Sample Questions:
1. John took out a cash advance of x dollars from a financing company. The company deducts a fee of 1/4 of the original advanced amount along with a transfer fee of $25.
Which of the following represents the final advanced amount that John receives after all applied fees in dollars?
A) 3/4 × (x - 25)
B) 3/4x - 25
C) 1/4x - 25
D) 1/4 × (x - 25)
2. The point (2, 1) is the midpoint of a line with endpoints at (-5, 3) and:
A) (-7, 2)
B) (7, 1)
C) (-10, 3)
D) (9, -1)
E) (-3, 4)
3. One of the following graphs in the standard ( x , y ) coordinate plane is the graph of y = sin 2 x + cos 2 x over the domain -π/2 ≤ x ≤ π/2.
Which one?
A)
B)
C)
D)
E)
A) Option A
B) Option F
C) Option C
D) Option D
E) Option E
F) Option B
4. What two values are not in the domain of
?
A) 9, 36
B) -6, 6
C) -6, 36
D) 3, -12
E) -3, 12
5. 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) 2 · 3 · 5 · 7 · 11 · 13
B) 3 · 7 · 10 · 11 · 13
C) 3 · 7 · 10 · 13
D) 2 · 5 · 7 · 11 · 13
E) 30 · 7 · 11 · 13
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: D | Question # 3 Answer: C | Question # 4 Answer: E | Question # 5 Answer: A |
