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ACT ACT-Math : ACT American College Testing: Math Section

ACT-Math

Exam Code: ACT-Math

Exam Name: ACT American College Testing: Math Section

Updated: Jul 19, 2026

Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                          ACT American College Testing: Math Section Sample Questions:

                                          1. A store prices a coat at $85. During a sale, the coat is sold at 20% off. After the sale, the store raises the price of the coat 10% over its sale price.
                                          What is the price of the coat now?

                                          A) $61.20
                                          B) $18.70
                                          C) $93.50
                                          D) $74.80
                                          E) $68.00


                                          2. FILL BLANK
                                          If the distance from point (-2, m) to point (4, -1) is 10 units, what is the positive value of m?


                                          3. In the diagram above, ABC and DEC are right triangles, the length of side BC is 15 units, and the measure of

                                          is 60º.

                                          If

                                          is congruent to

                                          , what is the length of side DC?

                                          A) 15√3 units
                                          B) 15/2 × √3 units
                                          C) 9 units
                                          D) √15 units
                                          E) 15/2 units


                                          4. A box contains five blue pens, three black pens, and two red pens.
                                          If every time a pen is selected, it is removed from the box, what is the probability of selecting a black pen followed by a blue pen?

                                          A) 77/90
                                          B) 3/20
                                          C) 1/10
                                          D) 1/50
                                          E) 1/6


                                          5. Rob has six songs on his portable music player.
                                          How many different four-song orderings can Rob create?

                                          A) 30
                                          B) 360
                                          C) 60
                                          D) 120
                                          E) 720


                                          Solutions:

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

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                                          ACT-Math - ACT American College Testing: Math Section
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