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ACT ACT-Math Exam Syllabus Topics:

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

                                          ACT American College Testing: Math Section Sample Questions:

                                          1. A company offers early bird pricing of $15 on a new product if there are 10 or fewer orders. The price goes down to $12.50 if it is ordered by more than 10. Twenty ends up ordering at the $15 amount.
                                          How much does the company end up offering as rebate?

                                          A) $75
                                          B) $100
                                          C) $25
                                          D) $50


                                          2. 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) 60
                                          C) 43
                                          D) 13
                                          E) 47


                                          3. Maria ordered a pizza. She ate only 2/9 of it and gave the remaining pizza to her 3 brothers.
                                          What fraction of the whole pizza will each of Maria's brothers receive, if they share the remaining pizza equally?

                                          A) 7/27
                                          B) 7/9
                                          C) 3/7
                                          D) 1/3
                                          E) 2/27


                                          4. The expression

                                          is equivalent to:

                                          A)

                                          B)

                                          C)

                                          D)

                                          E)


                                          5. What is the tenth term of the pattern below?

                                          A) 9/2
                                          B) 9/4
                                          C) 1/2
                                          D) 2/9
                                          E) 1


                                          Solutions:

                                          Question # 1
                                          Answer: D
                                          Question # 2
                                          Answer: C
                                          Question # 3
                                          Answer: A
                                          Question # 4
                                          Answer: B
                                          Question # 5
                                          Answer: C


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