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ACT ACT-Math Exam Syllabus Topics:

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

                                          ACT American College Testing: Math Section Sample Questions:

                                          There are seven vocalists, four guitarists, four drummers, and two bassists in Glen Oak's music program, while there are five vocalists, eight guitarists, two drummers, and three bassists in Belmont's music program.
                                          If a band comprises one vocalist, one guitarist, one drummer, and one bassist, how many more bands can be formed in Belmont?

                                          • A. 26
                                          • B. 10
                                          • C. 4
                                          • D. 18
                                          • E. 16
                                          Reveal Solution  Discussion  0

                                          Correct Answer: E  🗳️

                                          Which of the following could be equal to

                                          ?

                                          • A. 4/12
                                          • B. 5/20
                                          • C. 0.20
                                          • D. 0/4
                                          • E. -1/4
                                          Reveal Solution  Discussion  0

                                          Correct Answer: B  🗳️

                                          In the standard (x, y) coordinate plane, what is the slope of the line given by the equation 4x = 7y + 5?

                                          • A. 7/4
                                          • B. -4/7
                                          • C. 4
                                          • D. 4/7
                                          • E. 7
                                          Reveal Solution  Discussion  0

                                          Correct Answer: D  🗳️

                                          In Cherokee County, the fine for speeding is $17 for each mile per hour the driver is traveling over the posted speed limit. In Cherokee County, Kirk was fined $221 for speeding on a road with a posted speed limit of 30 mph.
                                          Kirk was fined for traveling at what speed, in miles per hour?

                                          • A. 17
                                          • B. 13
                                          • C. 47
                                          • D. 60
                                          • E. 43
                                          Reveal Solution  Discussion  0

                                          Correct Answer: E  🗳️

                                          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. 21
                                          • B. 8.4
                                          • C. 42
                                          • D. 12.6
                                          Reveal Solution  Discussion  0

                                          Correct Answer: B  🗳️

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