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Last Updated: Oct 08, 2026

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ACT ACT-Math Exam Syllabus Topics:

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

                                          ACT American College Testing: Math Section Sample Questions:

                                          Question #1

                                          If x is more than one-third the value of y, which of the following expresses the value of y in terms of x?

                                          • A. y = 3 × (x - 2)
                                          • B. y = 3 × (x - 6)
                                          • C. y = (x + 2) / 3
                                          • D. y = (x - 2) / 3
                                          Reveal Solution  Discussion  0

                                          Correct Answer: A  🗳️

                                          Question #2

                                          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, 15 seconds
                                          • B. 2 minutes
                                          • C. 3 minutes, 36 seconds
                                          • D. 2 minutes, 45 seconds
                                          • E. 2 minutes, 24 seconds
                                          Reveal Solution  Discussion  0

                                          Correct Answer: E  🗳️

                                          Question #3

                                          Which of the following is equivalent to (12x 2 + 4x + 5y) + (3x 2 - 2x + 3y) = 15x 2 + 2x + 8y?

                                          • A. 17x 2 + 4x - 8y
                                          • B. 17x 2 + 4x + 8y
                                          • C. 8 y - 4 x + 17 x 2
                                          • D. 17x 2 - 4x + 8y
                                          Reveal Solution  Discussion  0

                                          Correct Answer: B  🗳️

                                          Question #4

                                          What is the probability that a number selected at random from the set {2, 4, 5, 7, 9, 10, 12, 13, 18, 20, 60, 124} will be divisible by both 2 and 5?

                                          • A. 1/12
                                          • B. 3/4
                                          • C. 2/12
                                          • D. 1/4
                                          Reveal Solution  Discussion  0

                                          Correct Answer: D  🗳️

                                          Question #5

                                          Which of the following is the set of positive factors of 1 2 that are NOT multiples of 2?

                                          • A. {1}
                                          • B. { }
                                          • C. {1, 2, 3}
                                          • D. {2, 4, 6, 12}
                                          • E. {1, 3}
                                          Reveal Solution  Discussion  0

                                          Correct Answer: E  🗳️

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