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

  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Jul 31, 2026   Q&As: 280 Questions and Answers

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

                                        1. The expression 4x 2 - 2x + 3 is equal to 3 when x = 0 and when x =

                                        A) 1/8
                                        B) -1/2
                                        C) -1/4
                                        D) 1/4
                                        E) 1/2


                                        2. If 30% of r is equal to 75% of s, what is 50% of s if r = 30?

                                        A) 15
                                        B) 12
                                        C) 6
                                        D) 9
                                        E) 4.5


                                        3. When x = 4 and y = 5, by how much does the value of 3x 2 - 2y exceed the value of 2x 2 - 3y?

                                        A) 7
                                        B) 21
                                        C) 28
                                        D) 3


                                        4. Based on the diagram above, which of the following is true?

                                        A) e + g + i = 180
                                        B) e + i = e + h
                                        C) g + i = h + e
                                        D) e + f + g + h + i = 360
                                        E) i = e + f


                                        5. The expression

                                        is equivalent to:

                                        A)

                                        B)

                                        C)

                                        D)

                                        E)


                                        Solutions:

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

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