ACT American College Testing: Math Section : ACT-Math

  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Aug 20, 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%- Statistics & Probability
  • 1. Descriptive statistics (mean, median, mode)
    • 2. Data interpretation
      • 3. Probability fundamentals
        - Functions
        • 1. Linear, quadratic, and piecewise functions
          • 2. Domain and range
            • 3. Function notation and evaluation
              - Geometry
              • 1. Coordinate geometry
                • 2. Transformations and symmetry
                  • 3. Plane geometry (triangles, circles, polygons)
                    - 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
                              Topic 2: Integrating Essential Skills40–43%- Mathematical Modeling
                              • 1. Translating real-world problems into equations
                                • 2. Interpreting algebraic and graphical representations
                                  - Graphical Interpretation
                                  • 1. Reading and analyzing graphs and charts
                                    - Problem Solving
                                    • 1. Multi-step word problems
                                      • 2. Applied reasoning with arithmetic and algebra

                                        ACT American College Testing: Math Section Sample Questions:

                                        1. The number of bonus points, B(p), a credit card holder receives is given by the function B(p) = 4p + 2, where p represents the number of purchases made.
                                        If the number of purchases is increased by 8, by how much does the number of bonus points increase?

                                        A) 32
                                        B) 64
                                        C) 4
                                        D) 8


                                        2. In the diagram above, lines M and N are parallel.

                                        All of the following are true EXCEPT:

                                        A) c + f = f + b.
                                        B) g = h.
                                        C) g + e + f + h = 360.
                                        D) a + b = j + l.
                                        E) d + e = f + j.


                                        3. FILL BLANK
                                        What is the distance from the point where the line given by the equation 3y = 4x + 24 crosses the x-axis to the point where the line crosses the y-axis?


                                        4. In the diagram above of f(x), for how many values does f(x) = -1?

                                        A) 2
                                        B) 1
                                        C) 0
                                        D) 4
                                        E) 3


                                        5. A sack contains red, blue, and yellow marbles. The ratio of red marbles to blue marbles to yellow marbles is 3:4:8.
                                        If there are 24 yellow marbles in the sack, how many total marbles are in the sack?

                                        A) 45
                                        B) 96
                                        C) 144
                                        D) 72
                                        E) 48


                                        Solutions:

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

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