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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: Jul 31, 2026

Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                        ACT American College Testing: Math Section Sample Questions:

                                        1. The measures of the length, width, and height of a rectangular prism are in the ratio 2:6:5.
                                        If the volume of the prism is 1,620 mm3, what is the width of the prism?

                                        A) 6 mm
                                        B) 18 mm
                                        C) 27 mm
                                        D) 9 mm
                                        E) 3 mm


                                        2. In parallelogram ABCD below,

                                        is a diagonal, the measure of

                                        is 40°, and the
                                        measure of

                                        is
                                        57°.

                                        What is the measure of

                                        ?

                                        A) 57°
                                        B) 97°
                                        C) 77°
                                        D) 83°
                                        E) 40°


                                        3. In the diagram above, line AB is parallel to line CD, both lines are tangents to circle O and the diameter of circle O is equal in measure to the length of line OH.

                                        If the diameter of circle O is 24 in, what is the measure of

                                        ?

                                        A) 45º
                                        B) 60º
                                        C) Cannot be determined.
                                        D) 30º
                                        E) 75º


                                        4. What is the perimeter, in feet, of a rectangle with width 10 feet and length 20 feet?

                                        A) 30
                                        B) 90
                                        C) 120
                                        D) 60


                                        5. FILL BLANK

                                        The graph above shows the sales by month for the Greenvale and Smithtown branches of SuperBooks. From January through May, how much more money did the Smithtown branch gross in sales than the Greenvale branch?


                                        Solutions:

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

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