• Exam Code: ACT-Math
  • Exam Name: ACT American College Testing: Math Section
  • Certification Provider: ACT
  • Corresponding Certification:ACT Mathematics Test
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ACT ACT-Math Exam Syllabus Topics:

SectionWeightObjectives
Preparing for Higher Math57–60%- 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. Ratios, proportions, and percentages
            • 2. Integer and rational exponents
              • 3. Real and complex number systems
                • 4. Vectors and matrices
                  - Statistics & Probability
                  • 1. Data representation and interpretation
                    • 2. Counting techniques and probability rules
                      • 3. Measures of central tendency and spread
                        • 4. Basic statistical modeling
                          - Algebra
                          • 1. Modeling algebraic relationships
                            • 2. Quadratic expressions and functions
                              • 3. Linear, polynomial, radical, and exponential equations
                                • 4. Systems of equations and inequalities
                                  - Functions
                                  • 1. Domain and range analysis
                                    • 2. Graph interpretation and transformation
                                      • 3. Linear, radical, polynomial, and logarithmic functions
                                        • 4. Function definition and notation
                                          ModelingIntegrated throughout- Apply models across all content domains
                                          - Create and interpret mathematical models
                                          - Refine and evaluate model solutions
                                          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

                                          ACT American College Testing: Math Section Sample Questions:

                                          In the diagram above, if

                                          measures 110º, what is the
                                          measure of arc AC?

                                          • A. 55º
                                          • B. 40º
                                          • C. Cannot be determined.
                                          • D. 20º
                                          • E. 80º
                                          Reveal Solution  Discussion  0

                                          Correct Answer: B  🗳️

                                          If x × y = 156, x + y = 43, and x < y, what is the value of x - y?

                                          • A. 0
                                          • B. -24
                                          • C. -35
                                          • D. 35
                                          Reveal Solution  Discussion  0

                                          Correct Answer: C  🗳️

                                          The lengths of the 2 legs of right triangle ABC shown below are given in inches.

                                          The midpoint of

                                          is how many inches
                                          from A?

                                          • A. 20
                                          • B. 40
                                          • C. 28
                                          • D. 16
                                          • E. 21
                                          Reveal Solution  Discussion  0

                                          Correct Answer: A  🗳️

                                          The Smith family is planning to build a 3-room cabin which consists of 2 bedrooms (BR) and 1 living room (LR). Shown below are the rectangular floor plan (left figure) and a side view of the cabin (right figure). In the side view, the roof forms an isosceles triangle ( ΔABC ), the walls are perpendicular to the level floor (

                                          ),

                                          , F is the midpoint of

                                          , and

                                          .

                                          During the week the Smiths plan to roof the cabin, there is 20% chance of rain each day.
                                          Mrs. Smith will install a ceiling fan in each room of the cabin and will place curtains over the 4 windows. Each of the ceiling fans has a price of $52.00. The price of curtains for each small window (S) is $39.50, and the price of curtains for the large window (L) is twice that for the small window.
                                          Based on this information, which of the following values is closest to the total price Mrs. Smith will pay for curtains and ceiling fans?

                                          • A. $393
                                          • B. $302
                                          • C. $354
                                          • D. $262
                                          • E. $341
                                          Reveal Solution  Discussion  0

                                          Correct Answer: C  🗳️

                                          Balloons are sold according to the chart above. If a customer buys one balloon at a time, the cost is $1.00 per balloon. If a customer buys ten balloons at a time, the cost is $0.90 per balloon.

                                          If Carlos wants to buy 2,000 balloons, how much money does he save by buying 1,000 balloons at a time rather than ten balloons at a time?

                                          • A. $500
                                          • B. $300
                                          • C. $600
                                          • D. $800
                                          • E. $200
                                          Reveal Solution  Discussion  0

                                          Correct Answer: C  🗳️

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