ACT American College Testing: Math Section : ACT-Math

ACT ACT-Math Actual PDF
  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Jul 28, 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. Function notation and evaluation
      • 3. Domain and range
        - Statistics & Probability
        • 1. Probability fundamentals
          • 2. Data interpretation
            • 3. Descriptive statistics (mean, median, mode)
              - Algebra
              • 1. Polynomials and factoring
                • 2. Quadratic expressions and functions
                  • 3. Linear equations and inequalities
                    - Geometry
                    • 1. Coordinate geometry
                      • 2. Plane geometry (triangles, circles, polygons)
                        • 3. Transformations and symmetry
                          - Number & Quantity
                          • 1. Real and complex number systems
                            • 2. Vectors and matrices (basic concepts)
                              Integrating Essential Skills40–43%- Problem Solving
                              • 1. Applied reasoning with arithmetic and algebra
                                • 2. Multi-step word problems
                                  - Mathematical Modeling
                                  • 1. Translating real-world problems into equations
                                    • 2. Interpreting algebraic and graphical representations
                                      - Graphical Interpretation
                                      • 1. Reading and analyzing graphs and charts

                                        ACT American College Testing: Math Section Sample Questions:

                                        1. In the diagram above, ABDE is a square and BCD is an equilateral triangle.

                                        If FC = 6√3 cm, what is the perimeter of ABCDE?

                                        A)

                                        cm
                                        B)

                                        cm
                                        C) 60 cm
                                        D) 84 cm
                                        E)

                                        cm


                                        2. How does the area of a rectangle change if both the base and the height of the original rectangle are tripled?

                                        A) The area cannot be determined.
                                        B) The area remains the same.
                                        C) The area is tripled.
                                        D) The area is six times larger.
                                        E) The area is nine times larger.


                                        3. What two values are not in the domain of

                                        ?

                                        A) 3, -12
                                        B) -3, 12
                                        C) 9, 36
                                        D) -6, 36
                                        E) -6, 6


                                        4. FILL BLANK
                                        Find the measure of


                                        5. 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


                                        Solutions:

                                        Question # 1
                                        Answer: C
                                        Question # 2
                                        Answer: E
                                        Question # 3
                                        Answer: B
                                        Question # 4
                                        Answer: Only visible for members
                                        Question # 5
                                        Answer: C

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