Try and practice the latest ACT : ACT-Math real questions & answers

Updated: Aug 29, 2026

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ACT ACT-Math Exam Overview:

Certification Vendor:ACT, Inc.
Exam Name:American College Testing: Mathematics Section
Exam Number:ACT-Math
Certificate Validity Period:2 years from test date
Exam Price:Included in ACT base fee: $68 (US), $186.50 (International); add-ons extra
Passing Score:Scaled score 1–36; no fixed pass/fail, college-specific benchmarks
Exam Duration:50 (Enhanced ACT 2025+), 60 (Legacy ACT)
Available Languages:Spanish, English
Real Exam Qty:45 (Enhanced ACT 2025+), 60 (Legacy ACT)
Related Certifications:ACT STEM Score
ACT Composite
Exam Format:Multiple-choice, Paper-based, Computer-based
Recommended Training:ACT Mathematics Test Description
ACT Official Test Prep
Exam Registration:Official ACT Registration
MyACT Account
Sample Questions:ACT ACT-Math Sample Questions
Exam Way:Online computer-based testing or paper-based testing at authorized centers
Pre Condition:No formal prerequisites; intended for students completing grade 12 mathematics
Official Syllabus URL:https://www.act.org/content/act/en/products-and-services/the-act/test-preparation/description-of-math-test.html

ACT ACT-Math Exam Syllabus Topics:

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

                                          ACT American College Testing: Math Section Sample Questions:

                                          Question 1

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

                                          A. 1/5, 1/4
                                          B. 1/4, 1/5
                                          C. 1/5, 4/5
                                          D. 4/5, 5/4
                                          E. 1, 4/5


                                          Question 2

                                          For what value of x is the equation 8/x = 6/12?

                                          A. 16
                                          B. 12
                                          C. 8
                                          D. 24


                                          Question 3

                                          The point (2, 1) is the midpoint of a line with endpoints at (-5, 3) and:

                                          A. (9, -1)
                                          B. (7, 1)
                                          C. (-3, 4)
                                          D. (-7, 2)
                                          E. (-10, 3)


                                          Question 4

                                          Armin is trying to decide whether to buy a season pass to his college basketball team's 20 home games this season. The cost of an individual ticket is $14, and the cost of a season pass is $175. The season pass will admit Armin to any home basketball game at no additional cost.
                                          What is the minimum number of home basketball games Armin must attend this season in order for the cost of a season pass to be less than the total cost of buying an individual ticket for each game he attends?

                                          A. 12
                                          B. 8
                                          C. 13
                                          D. 9
                                          E. 20


                                          Question 5

                                          FILL BLANK
                                          Point A of rectangle ABCD is located at (-3, 12) and point C is located at (9, 5).
                                          What is the area of rectangle ABCD?


                                          Solutions:

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

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