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

  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Jul 27, 2026
  • Q&As: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                        ACT American College Testing: Math Section Sample Questions:

                                        1. What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o'clock?

                                        A) 60°
                                        B) 15°
                                        C) 45°
                                        D) 30°
                                        E) 72°


                                        2. In the diagram above, ABCD is a square with an area of 100 cm 2 and lines BD and AC are the diagonals of ABCD.

                                        If line EF is parallel to line BC and the length of line CF = 3√ 2 cm, which of the following is equal to the shaded area?

                                        A) 64 cm2
                                        B) 89 cm2
                                        C) 25 cm2
                                        D) 39 cm2
                                        E) 78 cm2


                                        3. If f(x) = 8x 2 - 10x + 5, then f(-4) = ?

                                        A) 173
                                        B) 50
                                        C) -3
                                        D) -173


                                        4. FILL BLANK
                                        The length of a room is three more than twice the width of the room. The perimeter of the room is 66 feet.
                                        What is the length of the room?


                                        5. For what value of x is the equation 22x + 7 = 215 true?

                                        A) 4
                                        B) 44
                                        C) 2
                                        D) 11
                                        E) 16


                                        Solutions:

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

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