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: Oct 02, 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:

                                          Question #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
                                          Reveal Solution  Discussion  0

                                          Correct Answer: E  🗳️

                                          Question #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
                                          Reveal Solution  Discussion  0

                                          Correct Answer: D  🗳️

                                          Question #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
                                          Reveal Solution  Discussion  0

                                          Correct Answer: A  🗳️

                                          Question #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
                                          Reveal Solution  Discussion  0

                                          Correct Answer: A  🗳️

                                          Question #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
                                          Reveal Solution  Discussion  0

                                          Correct Answer: B  🗳️

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