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

"ACT American College Testing: Math Section", also known as ACT-Math exam, is a ACT Certification. With the complete collection of questions and answers, PrepPDF has assembled to take you through 280 Q&As to your ACT-Math Exam preparation. In the ACT-Math exam resources, you will cover every field and category in ACT Mathematics Test Certification helping to ready you for your successful ACT Certification.

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  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Certification Provider: ACT
  • Corresponding Certification: ACT Mathematics Test
  • Updated: Aug 31, 2026
  • No. of Questions: 280 Questions & Answers with Testing Engine
  • Download Limit: Unlimited

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ACT ACT-Math Exam Syllabus Topics:

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

                                          ACT American College Testing: Math Section Sample Questions:

                                          Question 1

                                          The graph of y = |x - 6| is in the standard (x, y) coordinate plane.
                                          Which of the following transformations, when applied to the graph of y = | x |, results in the graph of y = |x - 6|?

                                          A. Translation to the left 6 coordinate units
                                          B. Translation to the right 6 coordinate units
                                          C. Reflection across the line x = 6
                                          D. Translation up 6 coordinate units
                                          E. Translation down 6 coordinate units


                                          Question 2

                                          In the diagram above, what is the area of the rectangle?

                                          A. 12ab square units
                                          B. 16b square units
                                          C. 9b 2 square units
                                          D. 8ab square units
                                          E. 6ab square units


                                          Question 3

                                          In the diagram above, if line AB is parallel to line CD, and line EF is perpendicular to lines AB and CD, all of the following are true EXCEPT:

                                          A. a + b + d = 90.
                                          B. a + h = g.
                                          C. a + h + f = b + g + d.
                                          D. c + b = g.
                                          E. e = a + b + 90.


                                          Question 4

                                          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. Cannot be determined.
                                          B. 45º
                                          C. 75º
                                          D. 60º
                                          E. 30º


                                          Question 5

                                          What is the value of the expression below?

                                          A. 0
                                          B. 2
                                          C. -2
                                          D. -18
                                          E. 18


                                          Solutions:

                                          Question 1
                                          Answer: B
                                          Question 2
                                          Answer: D
                                          Question 3
                                          Answer: D
                                          Question 4
                                          Answer: E
                                          Question 5
                                          Answer: B

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