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 12, 2026

Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                          ACT American College Testing: Math Section Sample Questions:

                                          Question #1

                                          For what value of x is the equation 22x + 7 = 215 true?

                                          • A. 44
                                          • B. 2
                                          • C. 11
                                          • D. 4
                                          • E. 16
                                          Reveal Solution  Discussion  0

                                          Correct Answer: D  🗳️

                                          Question #2

                                          What is the tenth term of the sequence: 5, 15, 45, 135, ... ?

                                          • A. (5 × 3) 9
                                          • B. 5 × 3 10
                                          • C.
                                          • D. 5 10
                                          • E. 5 × 3 9
                                          Reveal Solution  Discussion  0

                                          Correct Answer: E  🗳️

                                          Question #3

                                          A spinner is divided into eight equal regions, labeled one through eight.
                                          If Jenna spins the wheel, what is the probability that she will spin a number that is less than four and greater than two?

                                          • A. 9/32
                                          • B. 1/8
                                          • C. 1/2
                                          • D. 3/8
                                          • E. 3/4
                                          Reveal Solution  Discussion  0

                                          Correct Answer: B  🗳️

                                          Question #4

                                          FILL BLANK
                                          The function

                                          . If j(k) = -8 when j = -3, what is the value of k ?

                                          Reveal Solution  Discussion  0

                                          Correct Answer:

                                          6

                                          Question #5

                                          The diagonal of one face of a cube measures 4√2 in.
                                          What is the volume of the cube?

                                          • A. 192 in 3
                                          • B. 96 in 3
                                          • C. 24√2 in 3
                                          • D. 128√2 in 3
                                          • E. 64 in 3
                                          Reveal Solution  Discussion  0

                                          Correct Answer: E  🗳️

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