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ACT ACT-Math Exam Syllabus Topics:

SectionWeightObjectives
Preparing for Higher Math57–60%- Number & Quantity
  • 1. Vectors and matrices (basic concepts)
    • 2. Real and complex number systems
      - Algebra
      • 1. Linear equations and inequalities
        • 2. Polynomials and factoring
          • 3. Quadratic expressions and functions
            - Geometry
            • 1. Transformations and symmetry
              • 2. Plane geometry (triangles, circles, polygons)
                • 3. Coordinate geometry
                  - Statistics & Probability
                  • 1. Data interpretation
                    • 2. Descriptive statistics (mean, median, mode)
                      • 3. Probability fundamentals
                        - Functions
                        • 1. Domain and range
                          • 2. Linear, quadratic, and piecewise functions
                            • 3. Function notation and evaluation
                              Integrating Essential Skills40–43%- Mathematical Modeling
                              • 1. Translating real-world problems into equations
                                • 2. Interpreting algebraic and graphical representations
                                  - Graphical Interpretation
                                  • 1. Reading and analyzing graphs and charts
                                    - Problem Solving
                                    • 1. Multi-step word problems
                                      • 2. Applied reasoning with arithmetic and algebra

                                        ACT American College Testing: Math Section Sample Questions:

                                        1. If 30% of r is equal to 75% of s, what is 50% of s if r = 30?

                                        A) 15
                                        B) 9
                                        C) 12
                                        D) 6
                                        E) 4.5


                                        2. If the circumference of the circle in the diagram above is 20π units, what is the area of triangle ABC?

                                        A) 80π square units
                                        B) 160π square units
                                        C) 40 square units
                                        D) 160 square units
                                        E) 80 square units


                                        3. The area of an isosceles right triangle is 18 cm2.What is the length of the hypotenuse of the triangle?

                                        A)

                                        cm
                                        B)

                                        cm
                                        C) 6 cm
                                        D)

                                        cm
                                        E)

                                        cm


                                        4. 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


                                        5. Membership fees for NetFilms streaming service include a one-time membership fee of $10 and ongoing monthly fees of $5.
                                        How many months would you be able to buy with $120 after the membership fee is removed?

                                        A) 24
                                        B) 22
                                        C) 25
                                        D) 23


                                        Solutions:

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

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