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

ACT ACT-Math exam
  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Aug 03, 2026
  • Q & A: 280 Questions and Answers
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ACT ACT-Math Exam Syllabus Topics:

SectionWeightObjectives
Preparing for Higher Math57–60%- Algebra
  • 1. Polynomials and factoring
    • 2. Linear equations and inequalities
      • 3. Quadratic expressions and functions
        - Geometry
        • 1. Transformations and symmetry
          • 2. Coordinate geometry
            • 3. Plane geometry (triangles, circles, polygons)
              - Functions
              • 1. Linear, quadratic, and piecewise functions
                • 2. Domain and range
                  • 3. Function notation and evaluation
                    - Number & Quantity
                    • 1. Real and complex number systems
                      • 2. Vectors and matrices (basic concepts)
                        - Statistics & Probability
                        • 1. Descriptive statistics (mean, median, mode)
                          • 2. Data interpretation
                            • 3. Probability fundamentals
                              Integrating Essential Skills40–43%- Graphical Interpretation
                              • 1. Reading and analyzing graphs and charts
                                - 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

                                        ACT American College Testing: Math Section Sample Questions:

                                        1. FILL BLANK
                                        Robert is practicing for the long jump competition. His first four jumps measure 12.4 ft, 18.9 ft, 17.3 ft, and
                                        15.3 ft, respectively.
                                        If he averages 16.3 feet for his first five jumps, what is the length in feet of his fifth jump?


                                        2. For which of the following conditions will the sum of integers m and n always be an odd integer?

                                        A) m and n are both odd integers.
                                        B) n is an odd integer.
                                        C) m and n are both even integers.
                                        D) m is an odd integer.
                                        E) m is an odd integer and n is an even integer.


                                        3. What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3?

                                        A) 3/8
                                        B) 5/8
                                        C) 7/8
                                        D) 3/5
                                        E) 1/4


                                        4. The expression

                                        is equivalent to:

                                        A) (x + 5) / (x + 7)
                                        B) 5/7
                                        C) x + 5
                                        D) (2x - 15) / (4x - 21)
                                        E) -5 / (2x - 7)


                                        5. What is the value of the expression below?

                                        A) -18
                                        B) -2
                                        C) 18
                                        D) 0
                                        E) 2


                                        Solutions:

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

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