Updated: Jul 24, 2026
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| Certification Vendor: | ACT |
| Exam Name: | ACT Mathematics Test (ACT Math Section) |
| Exam Number: | ACT-MATH |
| Exam Format: | Multiple-choice questions, Calculator permitted on parts of the section (policy varies by test date), Linear scoring scale (1–36 section score) |
| Exam Duration: | 60 minutes |
| Real Exam Qty: | 60 |
| Related Certifications: | ACT English ACT Reading ACT Science ACT Writing (Optional) |
| Exam Price: | USD 68–93 (varies by region and optional Writing section) |
| Available Languages: | English |
| Recommended Training: | Khan Academy SAT/ACT Math Practice The Princeton Review ACT Prep ACT Test Preparation (Official Resources) |
| Exam Registration: | ACT Official Registration Portal |
| Sample Questions: | ACT ACT-Math Sample Questions |
| Exam Way: | Computer-based and paper-based testing (depending on test center availability) |
| Pre Condition: | No formal prerequisites required; typically taken by high school students applying for college admission in the United States. |
| Official Syllabus URL: | https://www.act.org |
| Section | Weight | Objectives |
|---|---|---|
| Integrating Essential Skills | 40–43% | - Mathematical Modeling
|
| Preparing for Higher Math | 57–60% | - Geometry
|
1. If x is more than one-third the value of y, which of the following expresses the value of y in terms of x?
A) y = (x + 2) / 3
B) y = (x - 2) / 3
C) y = 3 × (x - 6)
D) y = 3 × (x - 2)
2. In the diagram above, line AB is parallel to line CD, both lines are tangents to circle O and the diameter of circle O is equal in measure to the length of line OH.
If the diameter of circle O is 24 in, what is the measure of
?
A) 60º
B) Cannot be determined.
C) 75º
D) 30º
E) 45º
3. A box contains five blue pens, three black pens, and two red pens.
If every time a pen is selected, it is removed from the box, what is the probability of selecting a black pen followed by a blue pen?
A) 1/50
B) 77/90
C) 1/10
D) 1/6
E) 3/20
4. Which of the following is the equation of a parabola whose vertex is at (5, -4)?
A) y = x 2 - 29
B) y = (x + 5) 2 + 4
C) y = (x - 5) 2 - 4
D) y = (x - 5) 2 + 4
E) y = (x + 5) 2 - 4
5. The function m#n is equal to m 2 - n.
Which of the following is equivalent to m#(n#m)?
A) -n
B) (m 2 - n) 2 - n
C) n 2 - m
D) (n 2 - m) 2 - m
E) m2+ m - n 2
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: D | Question # 3 Answer: D | Question # 4 Answer: C | Question # 5 Answer: E |
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