ACT American College Testing: Math Section : ACT-Math

  • Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Updated: Sep 04, 2026     Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                          ACT American College Testing: Math Section Sample Questions:

                                          Question 1

                                          If b3 = -64, then b 2 - 3b - 4 =:

                                          A. -4.
                                          B. 28.
                                          C. -6.
                                          D. 0.
                                          E. 24.


                                          Question 2

                                          What is the equation of the line that passes through the points (2, 3) and (-2, 5)?

                                          A.

                                          B.

                                          C. y = x + 1
                                          D.

                                          E.


                                          Question 3

                                          In the diagram above, FDCB is a rectangle. Line ED is six units long, line AB is ten units long, and the
                                          measure of angle ECD is 60º.

                                          What is the length of line AE?

                                          A. 20
                                          B.

                                          C. 8
                                          D.

                                          E.


                                          Question 4

                                          A dish is cooked with the secret ingredients A, B, and C mixed in the ratio 2:3:5, respectively, by weight.
                                          How many pounds of secret ingredient A are in 4 2 pounds of the dish?

                                          A. 8.4
                                          B. 21
                                          C. 12.6
                                          D. 42


                                          Question 5

                                          A bank contains one penny, two quarters, four nickels, and three dimes.
                                          What is the probability of selecting a coin that is worth more than five cents but less than 30 cents?

                                          A. 9/10
                                          B. 7/10
                                          C. 1/4
                                          D. 1/5
                                          E. 1/2


                                          Solutions:

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

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