ACT American College Testing: Math Section : ACT-Math

  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Sep 07, 2026     Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                          ACT American College Testing: Math Section Sample Questions:

                                          Question 1

                                          The ratio of the number of cubic units in the volume of a cube to the number of square units in the surface area of the cube is 2:3.
                                          What is the surface area of the cube?

                                          A. 144 square units
                                          B. 64 square units
                                          C. 16 square units
                                          D. 96 square units
                                          E. 24 square units


                                          Question 2

                                          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. 1.45
                                          B. 14.5
                                          C. 1,450
                                          D. 145


                                          Question 3

                                          FILL BLANK
                                          There are seven students on the trivia team. Mr. Randall must choose four students to participate in the trivia challenge.
                                          How many different groups of four students can Mr. Randall form?


                                          Question 4

                                          Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new a trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents
                                          1.5 feet.

                                          The length of the south side of the park is what percent of the length of the north side?

                                          A.

                                          B. 250%
                                          C. 124%
                                          D. 175%
                                          E. 112%


                                          Question 5

                                          The average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420.
                                          What is the sum of the 4 scores that are NOT the median?

                                          A. 336
                                          B. 350
                                          C. 320
                                          D. 315
                                          E. 360


                                          Solutions:

                                          Question 1
                                          Answer: D
                                          Question 2
                                          Answer: D
                                          Question 3
                                          Answer: Only visible for members
                                          Question 4
                                          Answer: A
                                          Question 5
                                          Answer: A

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