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

  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Sep 06, 2026
  • Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                          ACT American College Testing: Math Section Sample Questions:

                                          Question 1

                                          In the standard (x, y) coordinate plane, what are the coordinates of the midpoint of a line segment whose endpoints are (-3, 0) and (7, 4)?

                                          A. (2, 2)
                                          B. (5, 2)
                                          C. (5, 5)
                                          D. (5, 4)
                                          E. (2, 4)


                                          Question 2

                                          If f(x) = 8x 2 - 10x + 5, then f(-4) = ?

                                          A. -3
                                          B. 50
                                          C. 173
                                          D. -173


                                          Question 3

                                          FILL BLANK
                                          DeDe and Mike both run the length of a two-mile field. If DeDe runs 5 mph and Mike runs 6 mph, how many more minutes does it take DeDe to run the field?


                                          Question 4

                                          The equation

                                          whenx =:

                                          A. -4 or -8.
                                          B. -4 or 4.
                                          C. 4 or 8.
                                          D. -8 or 8.
                                          E. 4 or -8.


                                          Question 5

                                          Four copy machines make 240 total copies in three minutes.
                                          How long will it take five copy machines to make the same number of copies?

                                          A. 2 minutes, 24 seconds
                                          B. 3 minutes, 36 seconds
                                          C. 2 minutes
                                          D. 2 minutes, 45 seconds
                                          E. 2 minutes, 15 seconds


                                          Solutions:

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

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