ACT-Math study materials - ACT ACT-Math dumps VCE

ACT ACT-Math : ACT American College Testing: Math Section

Exam Code: ACT-Math

Exam Name: ACT American College Testing: Math Section

Updated: Sep 05, 2026

Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

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

                                        ACT American College Testing: Math Section Sample Questions:

                                        Question 1

                                        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. $600
                                        C. $200
                                        D. $800
                                        E. $300


                                        Question 2

                                        Wendy tutors math students after school every day for five days. Each day, she tutors twice as many students as she tutored the previous day.
                                        If she tutors t students the first day, what is the average (arithmetic mean) number of students she tutors each day over the course of the week?

                                        A. t
                                        B. 5t
                                        C.

                                        D.

                                        E. 6t


                                        Question 3

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

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


                                        Question 4

                                        One of the following graphs in the standard ( x , y ) coordinate plane is the graph of y = sin 2 x + cos 2 x over the domain -π/2 ≤ x ≤ π/2.
                                        Which one?
                                        A)

                                        B)

                                        C)

                                        D)

                                        E)

                                        A. Option C
                                        B. Option F
                                        C. Option E
                                        D. Option A
                                        E. Option D
                                        F. Option B


                                        Question 5

                                        If f(x) = 8x 2 - 10x + 5, then f(-4) = ?

                                        A. 173
                                        B. -3
                                        C. 50
                                        D. -173


                                        Solutions:

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

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