Learn with ACT : ACT-Math training material for 100% pass

Updated: Aug 03, 2026

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ACT ACT-Math Exam Overview:

Certification Vendor:ACT
Exam Name:ACT Mathematics Test (ACT Math Section)
Exam Number:ACT-MATH
Exam Format:Multiple-choice questions, Calculator permitted on parts of the section (policy varies by test date), Linear scoring scale (1–36 section score)
Real Exam Qty:60
Exam Duration:60 minutes
Exam Price:USD 68–93 (varies by region and optional Writing section)
Related Certifications:ACT English
ACT Reading
ACT Science
ACT Writing (Optional)
Available Languages:English
Recommended Training:The Princeton Review ACT Prep
Khan Academy SAT/ACT Math Practice
ACT Test Preparation (Official Resources)
Exam Registration:ACT Official Registration Portal
Sample Questions:ACT ACT-Math Sample Questions
Exam Way:Computer-based and paper-based testing (depending on test center availability)
Pre Condition:No formal prerequisites required; typically taken by high school students applying for college admission in the United States.
Official Syllabus URL:https://www.act.org

ACT ACT-Math Exam Syllabus Topics:

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

                                        ACT American College Testing: Math Section Sample Questions:

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

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


                                        2. The average of five consecutive odd integers is -21.
                                        What is the least of these integers?

                                        A) -21
                                        B) -17
                                        C) -23
                                        D) -25
                                        E) -19


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

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


                                        4. FILL BLANK
                                        If 2a 2 + b = 10 and - (b/4 + 3a) = 11, what is the positive value of a?


                                        5. The sum of 2 positive numbers is 151. The lesser number is 19 more than the square root of the greater number.
                                        What is the value of the greater number minus the lesser number?

                                        A) 121
                                        B) 85
                                        C) 19
                                        D) 91
                                        E) 66


                                        Solutions:

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

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