ACT ACT-Math real exam prep : ACT American College Testing: Math Section

  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Sep 14, 2026
  • Q&As: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                          ACT American College Testing: Math Section Sample Questions:

                                          Question #1

                                          If y = -6, what is the value of (y3 - 40) / (y - 2)?

                                          • A. 32
                                          • B. 64
                                          • C. 0
                                          • D. -32
                                          Reveal Solution  Discussion  0

                                          Correct Answer: A  🗳️

                                          Question #2

                                          FILL BLANK

                                          In the diagram above, the radius of the circle is 20 units and the length of arc AB is 15π units.
                                          What is the measure in degrees of

                                          ?

                                          Reveal Solution  Discussion  0

                                          Correct Answer:

                                          135

                                          Question #3

                                          In the diagram above, line AB is parallel to line CD, both lines are tangents to circle O and the diameter of circle O is equal in measure to the length of line OH.

                                          If the diameter of circle O is 24 in, what is the measure of

                                          ?

                                          • A. 75º
                                          • B. 30º
                                          • C. Cannot be determined.
                                          • D. 60º
                                          • E. 45º
                                          Reveal Solution  Discussion  0

                                          Correct Answer: B  🗳️

                                          Question #4

                                          If

                                          , then ( h ^ g ) ^ h =:

                                          • A.
                                          • B. 4h
                                          • C. 2h
                                          • D.
                                          Reveal Solution  Discussion  0

                                          Correct Answer: A  🗳️

                                          Question #5

                                          Which number is a common multiple of 35, 5, and 50?

                                          • A. 350
                                          • B. 100
                                          • C. 250
                                          • D. 180
                                          Reveal Solution  Discussion  0

                                          Correct Answer: A  🗳️

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