ACT American College Testing: Math Section : ACT-Math

  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Sep 17, 2026     Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                        ACT American College Testing: Math Section Sample Questions:

                                        Question #1

                                        In the diagram above,

                                        is
                                        congruent to

                                        , and

                                        is congruent to

                                        .

                                        If the ratio of the length of AB to the length of EB is 5:1, and the area of triangle BED = 5 a 2 + 10, what is area of triangle ABC?

                                        • A. 125a 2 + 250
                                        • B. 25a 2 + 50
                                        • C. Cannot be determined.
                                        • D. 25a 2 + 100
                                        • E. 5a 2 + 10
                                        Reveal Solution  Discussion  0

                                        Correct Answer: A  🗳️

                                        Question #2

                                        When x = 1/2, what is the value of (8x - 3) / x?

                                        • A. 2
                                        • B. 5
                                        • C. 5/2
                                        • D. 10
                                        • E. 1/2
                                        Reveal Solution  Discussion  0

                                        Correct Answer: A  🗳️

                                        Question #3

                                        In the diagram above, lines EF and GH are parallel, and line AB is perpendicular to lines EF and GH.

                                        What is the length of line AB?

                                        • A.
                                        • B. 5
                                        • C.
                                        • D.
                                        • E.
                                        Reveal Solution  Discussion  0

                                        Correct Answer: D  🗳️

                                        Question #4

                                        For what value of x is the equation 8/x = 6/12?

                                        • A. 16
                                        • B. 12
                                        • C. 8
                                        • D. 24
                                        Reveal Solution  Discussion  0

                                        Correct Answer: A  🗳️

                                        Question #5

                                        The fluctuation of water depth at a pier is shown in the figure below.

                                        One of the following values gives the positive difference, in feet, between the greatest water depth and the least water depth shown in this graph.
                                        Which value is it?

                                        • A. 19
                                        • B. 12
                                        • C. 9
                                        • D. 6
                                        • E. 3
                                        Reveal Solution  Discussion  0

                                        Correct Answer: D  🗳️

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