ACT ACT-Math real exam prep : ACT American College Testing: Math Section

  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Aug 02, 2026
  • Q&As: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                        ACT American College Testing: Math Section Sample Questions:

                                        1. Which of the following is the set of positive factors of 1 2 that are NOT multiples of 2?

                                        A) { }
                                        B) {1, 2, 3}
                                        C) {1}
                                        D) {2, 4, 6, 12}
                                        E) {1, 3}


                                        2. Marcus's favorite casserole recipe requires 3 eggs and makes 6 servings. Marcus will modify the recipe by using 5 eggs and increasing all other ingredients in the recipe proportionally.
                                        What is the total number of servings the modified recipe will make?

                                        A) 12
                                        B) 6
                                        C) 10
                                        D) 15
                                        E) 8


                                        3. ABC Cabs and Tary Taxicabs both have an initial fare of a whole number of dollars for 1 passenger. The fare increases a whole number of dollars at each whole number of miles traveled. The graphs below show the 1-passenger fares, in dollars, for both cab companies for trips up to 6 miles.

                                        When the fares of the 2 cab companies are compared, what is the cheaper fare for a 5-mile trip?

                                        A) $8
                                        B) $12
                                        C) $11
                                        D) $10
                                        E) $9


                                        4. The point (2, 1) is the midpoint of a line with endpoints at (-5, 3) and:

                                        A) (-7, 2)
                                        B) (-3, 4)
                                        C) (7, 1)
                                        D) (9, -1)
                                        E) (-10, 3)


                                        5. 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?


                                        Solutions:

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

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