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

Pass ACT-Math Exam Cram

Exam Code: ACT-Math

Exam Name: ACT American College Testing: Math Section

Updated: Jul 17, 2026

Q & A: 280 Questions and Answers

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

                                          1. A bank contains one penny, two quarters, four nickels, and three dimes.
                                          What is the probability of selecting a coin that is worth more than five cents but less than 30 cents?

                                          A) 7/10
                                          B) 1/4
                                          C) 1/2
                                          D) 1/5
                                          E) 9/10


                                          2. A car departs Little Rock, Ark., traveling to a baseball game located nine miles east and 12 miles north of the departure point. About how many miles is the game from the departure point?

                                          A) 3
                                          B) 63
                                          C) 15
                                          D) 21


                                          3. In the diagram above, lines NO and PQ are parallel to each other and perpendicular to lines JK and LM. Line JK is parallel to line LM. If

                                          is 70º, what is the measure of

                                          ?

                                          A) 10º
                                          B) 110º
                                          C) 90º
                                          D) 20º
                                          E) 70º


                                          4. The scatter plot above shows how many eggs were found in a hunt over time.

                                          Which of the labeled points represents a number of eggs found that is greater than the number of minutes that has elapsed?

                                          A) C
                                          B) B
                                          C) D
                                          D) E
                                          E) A


                                          5. A line through the origin and (10, 4) is shown in the standard (x, y) coordinate plane below. The acute angle between the line and the positive x-axis has measure θ.

                                          What is the value of

                                          ?

                                          A)

                                          B) 5/2
                                          C) 2/5
                                          D)

                                          E)


                                          Solutions:

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

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