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 16, 2026

Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                          ACT American College Testing: Math Section Sample Questions:

                                          Question #1

                                          Toby wants to find the volume of a solid toy soldier. He fills a rectangular container 8 cm long, 6 cm wide, and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm.
                                          Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?

                                          • A. 208
                                          • B. 317
                                          • C. 125
                                          • D. 192
                                          • E. 156
                                          Reveal Solution  Discussion  0

                                          Correct Answer: C  🗳️

                                          Question #2

                                          In the standard (x, y) coordinate plane, what are the coordinates of the midpoint of a line segment whose endpoints are (-3, 0) and (7, 4)?

                                          • A. (2, 4)
                                          • B. (5, 2)
                                          • C. (2, 2)
                                          • D. (5, 5)
                                          • E. (5, 4)
                                          Reveal Solution  Discussion  0

                                          Correct Answer: C  🗳️

                                          Question #3

                                          The distribution of Jamal's high school grades by percentage of course credits is given in the circle graph below.

                                          What is Jamal's grade point average if each A is worth 4 points; each B, 3 points; and each C, 2 points?

                                          • A. 3.0
                                          • B. Cannot be determined from the given information.
                                          • C. 3.7
                                          • D. 3.4
                                          • E. 3.6
                                          Reveal Solution  Discussion  0

                                          Correct Answer: E  🗳️

                                          Question #4

                                          Which of the following number pairs is in the ratio 4:5?

                                          • A. 4/5, 5/4
                                          • B. 1, 4/5
                                          • C. 1/5, 4/5
                                          • D. 1/5, 1/4
                                          • E. 1/4, 1/5
                                          Reveal Solution  Discussion  0

                                          Correct Answer: D  🗳️

                                          Question #5

                                          What is the tenth term of the pattern below?

                                          • A. 9/2
                                          • B. 1
                                          • C. 2/9
                                          • D. 1/2
                                          • E. 9/4
                                          Reveal Solution  Discussion  0

                                          Correct Answer: D  🗳️

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