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

ACT-Math real exams

Exam Code: ACT-Math

Exam Name: ACT American College Testing: Math Section

Updated: Sep 04, 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. 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
            Topic 2: Preparing for Higher Math57–60%- Geometry
            • 1. Plane geometry (triangles, circles, polygons)
              • 2. Transformations and symmetry
                • 3. Coordinate geometry
                  - Number & Quantity
                  • 1. Vectors and matrices (basic concepts)
                    • 2. Real and complex number systems
                      - Functions
                      • 1. Linear, quadratic, and piecewise functions
                        • 2. Function notation and evaluation
                          • 3. Domain and range
                            - Algebra
                            • 1. Linear equations and inequalities
                              • 2. Polynomials and factoring
                                • 3. Quadratic expressions and functions
                                  - Statistics & Probability
                                  • 1. Descriptive statistics (mean, median, mode)
                                    • 2. Probability fundamentals
                                      • 3. Data interpretation

                                        ACT American College Testing: Math Section Sample Questions:

                                        Question 1

                                        What is the value of the expression below?

                                        A. -2
                                        B. 2
                                        C. 18
                                        D. -18
                                        E. 0


                                        Question 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. 6
                                        B. 18
                                        C. 14
                                        D. 9
                                        E. 12


                                        Question 3

                                        Wendy tutors math students after school every day for five days. Each day, she tutors twice as many students as she tutored the previous day.
                                        If she tutors t students the first day, what is the average (arithmetic mean) number of students she tutors each day over the course of the week?

                                        A. 5t
                                        B.

                                        C.

                                        D. t
                                        E. 6t


                                        Question 4

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

                                        A. 120°
                                        B. 150°
                                        C. 165°
                                        D. 135°


                                        Question 5

                                        What is the greatest common factor of 52, 156, and 260?

                                        A. 18
                                        B. 4
                                        C. 52
                                        D. 36


                                        Solutions:

                                        Question 1
                                        Answer: B
                                        Question 2
                                        Answer: B
                                        Question 3
                                        Answer: B
                                        Question 4
                                        Answer: B
                                        Question 5
                                        Answer: C

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