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ACT American College Testing: Math Section : ACT-Math

ACT-Math

Exam Code: ACT-Math

Exam Name: ACT American College Testing: Math Section

Updated: Jul 24, 2026

Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                          1. 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) 25 cm2
                                          D) 78 cm2
                                          E) 64 cm2


                                          2. Ray

                                          bisects

                                          , the measure of

                                          is 11x °, and the measure of

                                          is
                                          (4x + 18)°. What is the measure of

                                          ?

                                          A)

                                          B) 12°
                                          C) 42°
                                          D)

                                          E) 66°


                                          3. What is the value of the expression below?

                                          A) 0
                                          B) -2
                                          C) 2
                                          D) 18
                                          E) -18


                                          4. A wallet containing 5 five-dollar bills, 7 ten-dollar bills, and 8 twenty-dollar bills is found and returned to its owner. The wallet's owner will reward the finder with 1 bill drawn randomly from the wallet.
                                          What is the probability that the bill drawn will be a twenty-dollar bill?

                                          A) 2/3
                                          B) 1/20
                                          C) 1/8
                                          D) 4/51
                                          E) 2/5


                                          5. In the diagram above, line OA is congruent to line OB.

                                          What is the measure of arc CD?

                                          A) 70º
                                          B) 27.5º
                                          C) 125º
                                          D) 55º
                                          E) 110º


                                          Solutions:

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

                                          Related Certifications
                                          ACT Mathematics Test
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