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Last Updated: Aug 09, 2026

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ACT ACT-Math Exam Syllabus Topics:

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

                                        ACT American College Testing: Math Section Sample Questions:

                                        1. The length of an edge of a cube is equal to half the height of a cylinder that has a volume of 160π cubic units.
                                        If the radius of the cylinder is 4 units, what is the surface area of the cube?

                                        A) 150 square units
                                        B) 96 square units
                                        C) 100 square units
                                        D) 125 square units
                                        E) 64 square units


                                        2. The graph of a function y = f ( x ) consists of 3 line segments.
                                        The graph and the coordinates of the endpoints of the 3 line segments are shown in the standard ( x , y ) coordinate plane below.

                                        What is the area, in square coordinate units, of the region bounded by the graph of y = f ( x ), the positive y -axis, and the positive x -axis?

                                        A) 13
                                        B) 20
                                        C) 10
                                        D) 15
                                        E) 14


                                        3. Which of the following could be equal to

                                        ?

                                        A) 0.20
                                        B) -1/4
                                        C) 4/12
                                        D) 0/4
                                        E) 5/20


                                        4. FILL BLANK

                                        The diagram above shows the breakdown by age of the 1,560 people who attended the Spring Island Concert last weekend.
                                        How many people between the ages of 18 and 34 attended the concert?


                                        5. Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new a trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents
                                        1.5 feet.

                                        What is the area, in square inches, of the scale drawing of the park?

                                        A) 672
                                        B) 448
                                        C) 1,088
                                        D) 544
                                        E) 640


                                        Solutions:

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

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