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Instant Download ACT : ACT-Math Questions & Answers as PDF & Test Engine

ACT-Math
  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Jul 20, 2026
  • No. of Questions: 280 Questions and Answers
  • Download Limit: Unlimited
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ACT ACT-Math Exam Syllabus Topics:

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

                                          ACT American College Testing: Math Section Sample Questions:

                                          1. When x = 1/2, what is the value of (8x - 3) / x?

                                          A) 10
                                          B) 2
                                          C) 1/2
                                          D) 5/2
                                          E) 5


                                          2. What is x, the second term in the series of 1/3 + x + 1/27 + 1/81...?

                                          A) 1/6
                                          B) 1/9
                                          C) 1/12
                                          D) 1/15


                                          3. A circle has a circumference of 16π feet.
                                          What is the radius of the circle, in feet?

                                          A) 32
                                          B) 8
                                          C)

                                          D) 4
                                          E) 16


                                          4. FILL BLANK
                                          If

                                          , then a = 3 when z = ___.


                                          5. The expression 9 × ( x - 3) + 2 × (4 x + 4) is equivalent to:

                                          A) (x - 19) / 17
                                          B) x - 17
                                          C) 17x - 19
                                          D) x - 19


                                          Solutions:

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

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