ACT American College Testing: Math Section: ACT-Math Exam

"ACT American College Testing: Math Section", also known as ACT-Math exam, is a ACT Certification. With the complete collection of questions and answers, PrepPDF has assembled to take you through 280 Q&As to your ACT-Math Exam preparation. In the ACT-Math exam resources, you will cover every field and category in ACT Mathematics Test Certification helping to ready you for your successful ACT Certification.

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  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Certification Provider: ACT
  • Corresponding Certification: ACT Mathematics Test
  • Updated: Aug 30, 2026
  • No. of Questions: 280 Questions & Answers with Testing Engine
  • Download Limit: Unlimited

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

                                        ACT American College Testing: Math Section Sample Questions:

                                        Question 1

                                        For -π/2 ≤ θ ≤ π/2, |sin θ | ≥ 1 is true for all and only the values of θ in which of the following sets?

                                        A. The empty set
                                        B. {θ | -π/ 2 < θ < π/2}
                                        C. {θ | -π/ 2 ≤θ≤π/2}
                                        D. {π/2}
                                        E. {-π/2, π/2}


                                        Question 2

                                        The ratio of the number of cubic units in the volume of a cube to the number of square units in the surface area of the cube is 2:3.
                                        What is the surface area of the cube?

                                        A. 144 square units
                                        B. 96 square units
                                        C. 16 square units
                                        D. 24 square units
                                        E. 64 square units


                                        Question 3

                                        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 = 3 × (x - 6)
                                        B. y = (x + 2) / 3
                                        C. y = 3 × (x - 2)
                                        D. y = (x - 2) / 3


                                        Question 4

                                        If p < 0, q > 0, and r > p, then which of the following must be true?

                                        A. rp < rq
                                        B. r + q > q
                                        C. p + r > 0
                                        D. pr < rq
                                        E. p + r < r + q


                                        Question 5

                                        What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3?

                                        A. 3/8
                                        B. 5/8
                                        C. 7/8
                                        D. 1/4
                                        E. 3/5


                                        Solutions:

                                        Question 1
                                        Answer: E
                                        Question 2
                                        Answer: B
                                        Question 3
                                        Answer: C
                                        Question 4
                                        Answer: E
                                        Question 5
                                        Answer: A

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