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

ACT-Math

Exam Code: ACT-Math

Exam Name: ACT American College Testing: Math Section

Updated: Aug 15, 2026

Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                        ACT American College Testing: Math Section Sample Questions:

                                        1. Which of the following expressions, when evaluated, equals an irrational number?

                                        A)

                                        B)

                                        C)

                                        D)

                                        E)


                                        2. Points A, B, C, and D are on a line such that B is between A and C, and C is between B and D.
                                        The distance from A to B is 6 units. The distance from B to C is twice the distance from A to B, and the distance from C to D is twice the distance from B to C.
                                        What is the distance, in units, from the midpoint of

                                        to the midpoint of

                                        ?

                                        A) 14
                                        B) 9
                                        C) 12
                                        D) 18
                                        E) 6


                                        3. Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new a trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents 1.5 feet. Mikea's proposal includes installing a fence on the perimeter of the park.

                                        What is the perimeter, in feet, of the park?

                                        A) 156
                                        B) 88
                                        C) 104
                                        D) 84
                                        E) 126


                                        4. FILL BLANK

                                        In the diagram above, lines K and L are parallel, and lines M and N are parallel. If b = 8, then a = ____.


                                        5. The graph of f(x) is shown above.

                                        How many values can be found for f(3)?

                                        A) 4
                                        B) Cannot be determined.
                                        C) 2
                                        D) 1
                                        E) 0


                                        Solutions:

                                        Question # 1
                                        Answer: D
                                        Question # 2
                                        Answer: D
                                        Question # 3
                                        Answer: A
                                        Question # 4
                                        Answer: Only visible for members
                                        Question # 5
                                        Answer: D

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