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

Updated: Sep 02, 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
Real Exam Qty:45 (Enhanced ACT 2025+), 60 (Legacy ACT)
Available Languages:English, Spanish
Exam Duration:50 (Enhanced ACT 2025+), 60 (Legacy ACT)
Related Certifications:ACT STEM Score
ACT Composite
Exam Price:Included in ACT base fee: $68 (US), $186.50 (International); add-ons extra
Exam Format:Paper-based, Computer-based, Multiple-choice
Certificate Validity Period:2 years from test date
Passing Score:Scaled score 1–36; no fixed pass/fail, college-specific benchmarks
Recommended Training:ACT Official Test Prep
ACT Mathematics Test Description
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%- Algebra
  • 1. Systems of equations and inequalities
    • 2. Linear, polynomial, radical, and exponential equations
      • 3. Quadratic expressions and functions
        • 4. Modeling algebraic relationships
          - Geometry
          • 1. Surface area, volume, and trigonometric ratios
            • 2. Congruence, similarity, and measurement
              • 3. Triangles, circles, and polygons
                • 4. Plane and coordinate geometry
                  - Number & Quantity
                  • 1. Real and complex number systems
                    • 2. Ratios, proportions, and percentages
                      • 3. Integer and rational exponents
                        • 4. Vectors and matrices
                          - Functions
                          • 1. Linear, radical, polynomial, and logarithmic functions
                            • 2. Graph interpretation and transformation
                              • 3. Domain and range analysis
                                • 4. Function definition and notation
                                  - Statistics & Probability
                                  • 1. Data representation and interpretation
                                    • 2. Counting techniques and probability rules
                                      • 3. Measures of central tendency and spread
                                        • 4. Basic statistical modeling
                                          ModelingIntegrated throughout- Apply models across all content domains
                                          - Refine and evaluate model solutions
                                          - Create and interpret mathematical models
                                          Integrating Essential Skills40–43%- Multi-step arithmetic and pre-algebra
                                          - Problem-solving in real-world contexts
                                          - Logical reasoning and estimation
                                          - Rates, averages, and unit conversion

                                          ACT American College Testing: Math Section Sample Questions:

                                          Question 1

                                          If m < n < 0, then all of the following are true EXCEPT:

                                          A. mn > 0.
                                          B.

                                          C.

                                          D. m - n < 0.
                                          E. -m < -n.


                                          Question 2

                                          Mario plays basketball on a town league team. The table below gives Mario's scoring statistics for last season.

                                          How many points did Mario score playing basketball last season?

                                          A. 190
                                          B. 213
                                          C. 129
                                          D. 380
                                          E. 330


                                          Question 3

                                          In the diagram above, ABCD is a square with an area of 100 cm 2 and lines BD and AC are the diagonals of ABCD.

                                          If line EF is parallel to line BC and the length of line CF = 3√ 2 cm, which of the following is equal to the shaded area?

                                          A. 39 cm2
                                          B. 89 cm2
                                          C. 78 cm2
                                          D. 25 cm2
                                          E. 64 cm2


                                          Question 4

                                          A banquet hall charges a base price of x dollars for one hour of rental time. A sales tax of a certain percentage is applied to the base price, and an untaxed deposit is added.
                                          If the total amount is paid at the time of the purchase for one night is given by the expression 1.085x + 18, then what is the sales tax, expressed as a percentage of the base price?

                                          A. 8.5%
                                          B. 1.085%
                                          C. 0.085%
                                          D. 18%


                                          Question 5

                                          A room has a rectangular floor that is 15 feet by 21 feet.
                                          What is the area of the floor in square yards?

                                          A. 144
                                          B. 36
                                          C. 35
                                          D. 105
                                          E. 24


                                          Solutions:

                                          Question 1
                                          Answer: E
                                          Question 2
                                          Answer: B
                                          Question 3
                                          Answer: A
                                          Question 4
                                          Answer: A
                                          Question 5
                                          Answer: C

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