ACT American College Testing: Math Section - ACT-Math

Exam Code: ACT-Math
Exam Name: ACT American College Testing: Math Section
Updated: Aug 26, 2026
Q & A: 280 Questions and Answers

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ACT ACT-Math Exam Syllabus Topics:

Section

Weight

Objectives

Topic 1: Integrating Essential Skills

40–43%

- Graphical Interpretation

1. Reading and analyzing graphs and charts

- Mathematical Modeling

1. Interpreting algebraic and graphical representations
2. Translating real-world problems into equations

- Problem Solving

1. Applied reasoning with arithmetic and algebra
2. Multi-step word problems

Topic 2: Preparing for Higher Math

57–60%

- Number & Quantity

1. Vectors and matrices (basic concepts)
2. Real and complex number systems

- Geometry

1. Coordinate geometry
2. Transformations and symmetry
3. Plane geometry (triangles, circles, polygons)

- Algebra

1. Linear equations and inequalities
2. Quadratic expressions and functions
3. Polynomials and factoring

- Statistics & Probability

1. Descriptive statistics (mean, median, mode)
2. Data interpretation
3. Probability fundamentals

- Functions

1. Domain and range
2. Linear, quadratic, and piecewise functions
3. Function notation and evaluation

ACT American College Testing: Math Section Sample Questions:

Question 1

The volume of a glass of water placed in the sun decreases by 20%.
If there are 240 ml of water in the glass now, what was the original volume of water in the glass?

A. 260 ml
B. 360 ml
C. 288 ml
D. 300 ml
E. 19 2 ml

Question 2

Which of the following number pairs is in the ratio 4:5?

A. 1, 4/5
B. 1/4, 1/5
C. 1/5, 4/5
D. 1/5, 1/4
E. 4/5, 5/4

Question 3

ABC Cabs and Tary Taxicabs both have an initial fare of a whole number of dollars for 1 passenger. The fare increases a whole number of dollars at each whole number of miles traveled. The graphs below show the 1-passenger fares, in dollars, for both cab companies for trips up to 6 miles.

When the fares of the 2 cab companies are compared, what is the cheaper fare for a 5-mile trip?