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ACT ACT-Math Exam Syllabus Topics:

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

                                        ACT American College Testing: Math Section Sample Questions:

                                        The diagonal of one face of a cube measures 4√2 in.
                                        What is the volume of the cube?

                                        • A. 192 in 3
                                        • B. 96 in 3
                                        • C. 64 in 3
                                        • D. 24√2 in 3
                                        • E. 128√2 in 3
                                        Reveal Solution  Discussion  0

                                        Correct Answer: C  🗳️

                                        FILL BLANK
                                        The ratio of the number of linear units in the circumference of a circle to the number of square units in the area of that circle is 2:5.
                                        What is the radius of the circle?

                                        Reveal Solution  Discussion  0

                                        Correct Answer:

                                        5

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

                                        All of the following are true EXCEPT:

                                        • A. g + e + f + h = 360.
                                        • B. c + f = f + b.
                                        • C. d + e = f + j.
                                        • D. a + b = j + l.
                                        • E. g = h.
                                        Reveal Solution  Discussion  0

                                        Correct Answer: C  🗳️

                                        In the standard (x, y) coordinate plane, what is the slope of the line given by the equation 4x = 7y + 5?

                                        • A. 4/7
                                        • B. -4/7
                                        • C. 4
                                        • D. 7/4
                                        • E. 7
                                        Reveal Solution  Discussion  0

                                        Correct Answer: A  🗳️

                                        What is the tenth term of the sequence: 5, 15, 45, 135, ... ?

                                        • A.
                                        • B. 5 × 3 9
                                        • C. 5 10
                                        • D. 5 × 3 10
                                        • E. (5 × 3) 9
                                        Reveal Solution  Discussion  0

                                        Correct Answer: B  🗳️

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