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

ACT ACT-Math Actual PDF
  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Jul 20, 2026
  • Q & A: 280 Questions and Answers
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ACT ACT-Math Exam Syllabus Topics:

SectionWeightObjectives
Preparing for Higher Math57–60%- Number & Quantity
  • 1. Real and complex number systems
    • 2. Ratios, proportions, and percentages
      • 3. Vectors and matrices
        • 4. Integer and rational exponents
          - Statistics & Probability
          • 1. Data representation and interpretation
            • 2. Measures of central tendency and spread
              • 3. Basic statistical modeling
                • 4. Counting techniques and probability rules
                  - Algebra
                  • 1. Quadratic expressions and functions
                    • 2. Systems of equations and inequalities
                      • 3. Linear, polynomial, radical, and exponential equations
                        • 4. Modeling algebraic relationships
                          - Geometry
                          • 1. Surface area, volume, and trigonometric ratios
                            • 2. Plane and coordinate geometry
                              • 3. Triangles, circles, and polygons
                                • 4. Congruence, similarity, and measurement
                                  - Functions
                                  • 1. Domain and range analysis
                                    • 2. Function definition and notation
                                      • 3. Graph interpretation and transformation
                                        • 4. Linear, radical, polynomial, and logarithmic functions
                                          Integrating Essential Skills40–43%- Logical reasoning and estimation
                                          - Multi-step arithmetic and pre-algebra
                                          - Problem-solving in real-world contexts
                                          - Rates, averages, and unit conversion
                                          ModelingIntegrated throughout- Apply models across all content domains
                                          - Create and interpret mathematical models
                                          - Refine and evaluate model solutions

                                          ACT American College Testing: Math Section Sample Questions:

                                          1. If the circumference of the circle in the diagram above is 20π units, what is the area of triangle ABC?

                                          A) 160 square units
                                          B) 80π square units
                                          C) 40 square units
                                          D) 160π square units
                                          E) 80 square units


                                          2. Mario plays basketball on a town league team. The table below gives Mario's scoring statistics for last season.

                                          How many points did Mario score playing basketball last season?

                                          A) 330
                                          B) 129
                                          C) 380
                                          D) 213
                                          E) 190


                                          3. The 3rd and 4th terms of an arithmetic sequence are13 and 18, respectively.
                                          What is the 50th term of the sequence?

                                          A) 248
                                          B) 263
                                          C) 253
                                          D) 258
                                          E) 250


                                          4. The function m#n is equal to m 2 - n.
                                          Which of the following is equivalent to m#(n#m)?

                                          A) m2+ m - n 2
                                          B) (m 2 - n) 2 - n
                                          C) (n 2 - m) 2 - m
                                          D) -n
                                          E) n 2 - m


                                          5. Points A, B, C, and D are on a line such that B is between A and C, and C is between B and D.
                                          The distance from A to B is 6 units. The distance from B to C is twice the distance from A to B, and the distance from C to D is twice the distance from B to C.
                                          What is the distance, in units, from the midpoint of

                                          to the midpoint of

                                          ?

                                          A) 12
                                          B) 18
                                          C) 9
                                          D) 6
                                          E) 14


                                          Solutions:

                                          Question # 1
                                          Answer: E
                                          Question # 2
                                          Answer: D
                                          Question # 3
                                          Answer: A
                                          Question # 4
                                          Answer: A
                                          Question # 5
                                          Answer: B

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