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Last Updated: Sep 01, 2026

No. of Questions: 280 Questions & Answers with Testing Engine

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ACT ACT-Math Exam Syllabus Topics:

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

                                          ACT American College Testing: Math Section Sample Questions:

                                          Question 1

                                          Which of the following expressions is equivalent to x2/3?

                                          A.

                                          B.

                                          C.

                                          D.

                                          E.


                                          Question 2

                                          Which of the following has the greatest value when x = -1/4?

                                          A. x -1
                                          B. -3/8x
                                          C. 16x
                                          D. 4x + 3
                                          E. 1/81x


                                          Question 3

                                          FILL BLANK

                                          In the diagram above, the radius of the circle is 20 units and the length of arc AB is 15π units.
                                          What is the measure in degrees of

                                          ?


                                          Question 4

                                          In the diagram above, side OB

                                          side OC.

                                          Which of the following is the measure of minor arc BC?

                                          A. 45º
                                          B. 70º
                                          C. 55º
                                          D. 27.5º
                                          E. 110º


                                          Question 5

                                          If p < 0, q > 0, and r > p, then which of the following must be true?

                                          A. p + r > 0
                                          B. r + q > q
                                          C. pr < rq
                                          D. rp < rq
                                          E. p + r < r + q


                                          Solutions:

                                          Question 1
                                          Answer: B
                                          Question 2
                                          Answer: E
                                          Question 3
                                          Answer: Only visible for members
                                          Question 4
                                          Answer: B
                                          Question 5
                                          Answer: E

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