ACT American College Testing: Math Section : ACT-Math

ACT-Math
  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Jul 27, 2026
  • Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                          ACT American College Testing: Math Section Sample Questions:

                                          1. The point (6, -3) could be the midpoint of which of the following lines?

                                          A) a line with endpoints at (0, -1) and (12, -2)
                                          B) a line with endpoints at (3, 3) and (12, -6)
                                          C) a line with endpoints at (2, -3) and (6, 1)
                                          D) a line with endpoints at (6, 0) and (6, -6)
                                          E) a line with endpoints at (-6, 3) and (-6, -3)


                                          2. FILL BLANK
                                          The length of a rectangular prism is four times the height of the prism and one-third the width of the prism. If the volume of the prism is 384 in3, what is the width of the prism?


                                          3. FILL BLANK
                                          In Marie's fish tank, the ratio of guppies to platies is 4:5. She adds nine guppies to her fish tank and the ratio of guppies to platies becomes 5:4.
                                          How many guppies are in the fish tank now?


                                          4. Drag and drop

                                          A) 2
                                          B) 4
                                          C) 3
                                          D) 1


                                          5. In the diagram above, line OA is congruent to line OB.

                                          What is the measure of arc CD?

                                          A) 55º
                                          B) 125º
                                          C) 70º
                                          D) 110º
                                          E) 27.5º


                                          Solutions:

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

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