In this section, 60 minutes are given for 60 questions. For ACT math exam questions, it will be enough to use the math learned at the high school level quickly. Instead of wasting time on questions that cannot be solved at first, these questions should be returned when time remains after solving all the exam questions. 

#1: Pre-Algebra/Elementary Algebra

Pre-Algebra (20-25%)

• Basic operations using whole numbers, decimals, fractions, and integers
• Place value
• Square roots and approximations
• The concept of exponents
• Scientific notation
• Factors
• Ratio, proportion, and percent
• Linear equations in one variable
• Absolute value and ordering numbers by value
• Elementary counting techniques and simple probability
• Data collection, representation, and interpretation
• Understanding simple descriptive statistics

Elementary Algebra (15-20%)

• Properties of exponents and square roots
• Evaluation of algebraic expressions through substitution
• Using variables to express functional relationships
• Understanding algebraic operations
• The solution of quadratic equations by factoring

#2: Intermediate Algebra/Coordinate Geometry

Intermediate Algebra (15-20%)

• The quadratic formula
• Rational and radical expressions
• Absolute value equations and inequalities
• Sequences and patterns
• Systems of equations
• Quadratic inequalities
• Functions and modeling
• Matrices
• Roots of polynomials
• Complex numbers

Coordinate Geometry (15-20%)

• Graphing and the relations between equations and graphs, including points, lines, polynomials, circles, and other curves
• Graphing inequalities
• Slope
• Parallel and perpendicular lines
• Distance
• Midpoints
• Conics

#3: Plane Geometry/Trigonometry

Plane Geometry (20-25%)

• Properties and relations of plane figures, including angles and relations among perpendicular and parallel lines
• Properties of circles, triangles, rectangles, parallelograms, and trapezoids
• Transformations
• The concept of proof and proof techniques
• Volume
• Applications of geometry to three dimensions

Trigonometry (5-10%)

• Trigonometric relations in right triangles
• Values and properties of trigonometric functions
• Graphing trigonometric functions
• Modeling using trigonometric functions
• Use of trigonometric identities
• Solving trigonometric equations