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

ACT-Math real exams

Exam Code: ACT-Math

Exam Name: ACT American College Testing: Math Section

Updated: Sep 17, 2026

Q & A: 280 Questions and Answers

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

                                          ACT American College Testing: Math Section Sample Questions:

                                          Question #1

                                          A meter is a measure of length, and 10 decimeters is equal in length to one meter.
                                          How many decimeters are equal in length to 14.5 meters?

                                          • A. 145
                                          • B. 1.45
                                          • C. 14.5
                                          • D. 1,450
                                          Reveal Solution  Discussion  0

                                          Correct Answer: A  🗳️

                                          Question #2

                                          If 30% of r is equal to 75% of s, what is 50% of s if r = 30?

                                          • A. 12
                                          • B. 4.5
                                          • C. 6
                                          • D. 15
                                          • E. 9
                                          Reveal Solution  Discussion  0

                                          Correct Answer: C  🗳️

                                          Question #3

                                          Simon plays a video game four times. His game scores are 18 points, 27 points, 1 2 points, and 15 points.
                                          How many points must Simon score in his fifth game in order for the mean, median, and mode of the five games to equal each other?

                                          • A. 15 points
                                          • B. 1 2 points
                                          • C. 18 points
                                          • D. 27 points
                                          • E. 21 points
                                          Reveal Solution  Discussion  0

                                          Correct Answer: C  🗳️

                                          Question #4

                                          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?

                                          Reveal Solution  Discussion  0

                                          Correct Answer:

                                          4

                                          Question #5

                                          Which of the following expressions is a factor of x3 - 64?

                                          • A. x 2 + 16
                                          • B. x 2 - 4x + 16
                                          • C. x + 4
                                          • D. x - 4
                                          • E. x + 64
                                          Reveal Solution  Discussion  0

                                          Correct Answer: D  🗳️

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