Try and practice the latest ACT : ACT-Math real questions & answers

Last Updated: Aug 01, 2026

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

                                        ACT American College Testing: Math Section Sample Questions:

                                        1. If p < 0, q > 0, and r > p, then which of the following must be true?

                                        A) rp < rq
                                        B) r + q > q
                                        C) p + r < r + q
                                        D) pr < rq
                                        E) p + r > 0


                                        2. Which of the following expressions is a factor of x3 - 64?

                                        A) x + 4
                                        B) x 2 - 4x + 16
                                        C) x - 4
                                        D) x 2 + 16
                                        E) x + 64


                                        3. If x × y = 156, x + y = 43, and x < y, what is the value of x - y?

                                        A) -24
                                        B) 0
                                        C) 35
                                        D) -35


                                        4. What is the degree measure of the obtuse angle formed by the hands of a 12-hour clock that reads exactly one o'clock?

                                        A) 135°
                                        B) 150°
                                        C) 165°
                                        D) 120°


                                        5. When x = 4 and y = 6, by how much does the value of 3x 2 - 3y exceed the value of 2x 2 - 2y?

                                        A) 15
                                        B) 10
                                        C) 20
                                        D) 5


                                        Solutions:

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

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