Purchase ACT : ACT-Math Exam Materials and then pass exam easily

Updated: Jul 24, 2026

No. of Questions: 280 Questions & Answers with Testing Engine

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ACT ACT-Math Exam Overview:

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

ACT ACT-Math Exam Syllabus Topics:

SectionWeightObjectives
Integrating Essential Skills40–43%- Mathematical Modeling
  • 1. Interpreting algebraic and graphical representations
    • 2. Translating real-world problems into equations
      - Graphical Interpretation
      • 1. Reading and analyzing graphs and charts
        - Problem Solving
        • 1. Applied reasoning with arithmetic and algebra
          • 2. Multi-step word problems
            Preparing for Higher Math57–60%- Geometry
            • 1. Transformations and symmetry
              • 2. Coordinate geometry
                • 3. Plane geometry (triangles, circles, polygons)
                  - Statistics & Probability
                  • 1. Data interpretation
                    • 2. Descriptive statistics (mean, median, mode)
                      • 3. Probability fundamentals
                        - Number & Quantity
                        • 1. Vectors and matrices (basic concepts)
                          • 2. Real and complex number systems
                            - Algebra
                            • 1. Quadratic expressions and functions
                              • 2. Linear equations and inequalities
                                • 3. Polynomials and factoring
                                  - Functions
                                  • 1. Function notation and evaluation
                                    • 2. Linear, quadratic, and piecewise functions
                                      • 3. Domain and range

                                        ACT American College Testing: Math Section Sample Questions:

                                        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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