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

  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Sep 16, 2026
  • Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                        ACT American College Testing: Math Section Sample Questions:

                                        Question #1

                                        The equation

                                        whenx =:

                                        • A. 4 or -8.
                                        • B. -4 or -8.
                                        • C. -8 or 8.
                                        • D. 4 or 8.
                                        • E. -4 or 4.
                                        Reveal Solution  Discussion  0

                                        Correct Answer: D  🗳️

                                        Question #2

                                        The length of an edge of a cube is equal to half the height of a cylinder that has a volume of 160π cubic units.
                                        If the radius of the cylinder is 4 units, what is the surface area of the cube?

                                        • A. 64 square units
                                        • B. 100 square units
                                        • C. 96 square units
                                        • D. 150 square units
                                        • E. 125 square units
                                        Reveal Solution  Discussion  0

                                        Correct Answer: D  🗳️

                                        Question #3

                                        If y = -6, what is the value of (y3 - 40) / (y - 2)?

                                        • A. 32
                                        • B. -32
                                        • C. 64
                                        • D. 0
                                        Reveal Solution  Discussion  0

                                        Correct Answer: A  🗳️

                                        Question #4

                                        FILL BLANK
                                        There are seven students on the trivia team. Mr. Randall must choose four students to participate in the trivia challenge.
                                        How many different groups of four students can Mr. Randall form?

                                        Reveal Solution  Discussion  0

                                        Correct Answer:

                                        35

                                        Question #5

                                        The lengths of the 2 legs of right triangle ABC shown below are given in inches.

                                        The midpoint of

                                        is how many inches
                                        from A?

                                        • A. 20
                                        • B. 28
                                        • C. 21
                                        • D. 16
                                        • E. 40
                                        Reveal Solution  Discussion  0

                                        Correct Answer: A  🗳️

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