ACT Math Test

The ACT Math Test assesses students' mathematical skills and problem-solving abilities in preparation for college admission.

Numbers and OperationsAlgebraic Expressions and EquationsGeometry and Measurement
Functions and ModelingStatistics and ProbabilityAdvanced Algebra and Systems of Equations
Using Math in Financial DecisionsMath in Science and EngineeringMath in Everyday Problem-Solving
Pacing Yourself During the TestEliminating Wrong AnswersChecking Your Work Efficiently
Numbers and Operatio...Algebraic Expression...Geometry and Measure...Functions and Modeli...Statistics and Proba...Advanced Algebra and...Using Math in Financ...Math in Science and ...Math in Everyday Pro...Pacing Yourself Duri...Eliminating Wrong An...Checking Your Work E...
Basic Concepts

Numbers and Operations

Mastering Numbers

Numbers are the foundation of all mathematics. On the ACT, you'll work with integers, decimals, fractions, ratios, and percentages. Understanding how to manipulate and compare these different types of numbers is critical.

Key Concepts

  • Integers: Positive and negative whole numbers, including zero.
  • Fractions & Decimals: Ways to represent parts of a whole.
  • Ratios & Proportions: Comparing quantities and solving for unknowns.
  • Percentages: Expressing numbers as parts out of 100.

Quick Tips

  • Always reduce fractions to their simplest form.
  • Convert between decimals and percentages by moving the decimal point.
  • Use estimation to check if your answer is reasonable.

Why It Matters

These concepts appear everywhere, from splitting a bill at a restaurant to figuring out discounts at your favorite store.

Examples

  • Calculating the percentage of students who passed a test.

  • Simplifying the ratio of boys to girls in a classroom.

In a Nutshell

Understanding numbers, fractions, ratios, and percentages is essential for solving ACT math problems.

Key Terms

Integer
A whole number that can be positive, negative, or zero.
Ratio
A comparison of two quantities by division.
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Algebraic Expressions and Equations