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Home › Worksheets › Free 6th Grade Math Worksheets

Free 6th Grade Math Worksheets

Sixth grade is the bridge between elementary arithmetic and middle school mathematics. Students master all four operations with decimals, deepen their work with fractions in complex scenarios, explore exponents more formally, and are introduced to integers and negative numbers. These worksheets target the specific skills that sixth graders need to build a strong foundation for pre-algebra.

By Topic: Whole Numbers Fractions Decimals Exponents & Integers Number Sense
By Operation: Addition Subtraction Multiplication Division Mixed Operations
By Grade: Grades 1–2 Grade 3 Grade 4 Grade 5 Grade 6 Grades 7–8

Key Skills at This Level

  • Multiplying and dividing decimals
  • All four operations with decimals
  • Complex fraction operations (multiplication, division, mixed)
  • Working with exponents and evaluating powers
  • Understanding integers and operations with negative numbers
  • Applying order of operations with multiple number types

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× Fractions - Multiplication

  • Multiplying Simple Fractions Easy
  • Multiplying Fractions with Simplification Medium
  • Multiplying Mixed Numbers Hard

÷ Fractions - Division

  • Dividing Simple Fractions Easy
  • Dividing Fractions with Simplification Medium
  • Dividing Mixed Numbers Hard

±×÷ Fractions - Mixed Operations

  • Mixed Fraction Operations (Improper) Hard
  • Mixed Fraction Operations (Mixed Numbers) Hard

+ Decimals - Addition

  • Adding Decimals (Tenths Place) Easy
  • Adding Decimals (Hundredths Place) Medium
  • Adding Decimals (Mixed Places) Hard

− Decimals - Subtraction

  • Subtracting Decimals (Tenths Place) Easy
  • Subtracting Decimals (Hundredths Place) Medium
  • Subtracting Decimals (Mixed Places) Hard

× Decimals - Multiplication

  • Multiplying Decimals by Whole Numbers Easy
  • Multiplying Decimals (Tenths by Tenths) Medium
  • Multiplying Decimals (Hundredths) Hard

÷ Decimals - Division

  • Dividing Decimals by Whole Numbers (Easy) Easy
  • Dividing Decimals by Decimals (Tenths) Medium
  • Long Division with Decimals (by Whole Numbers) Medium
  • Dividing Decimals (Hundredths Challenge) Hard
  • Long Division with Decimals Challenge Hard

±×÷ Decimals - Mixed Operations

  • Mixed Decimal Operations (Vertical) Hard

^ Exponents

  • Exponents: Basic Cubes (to 10^3) Easy
  • Exponents: Basic Squares (to 12^2) Easy
  • Exponents: Mixed Small Bases and Powers Medium
  • Exponents: Powers of 10 Medium
  • Exponents Challenge: Mixed Bases and Powers Hard

± Integers (Negatives)

  • Introduction to Negative Numbers (Addition) Easy
  • Introduction to Negative Numbers (Subtraction) Easy
  • Adding and Subtracting Negative Integers Medium
  • Dividing Negative Integers Medium
  • Multiplying Negative Integers Medium
  • Adding and Subtracting Negative Integers (Vertical) Hard
  • Exponents with Negative Bases Hard
  • Mixed Operations with Negative Integers Hard

( ) Order of Operations

  • Order of Operations: Two Steps (Easy) Easy
  • Order of Operations: With Parentheses (Medium) Medium
  • Order of Operations: With Division (Hard) Hard

Decimal Mastery

Sixth grade is when decimal arithmetic reaches full maturity. Students move beyond addition and subtraction to multiply and divide decimals — operations that require careful attention to decimal point placement. Our worksheets provide systematic practice across all four operations with decimals, including mixed-operation sets that challenge students to think critically about which operation to apply.

Negative Numbers: Expanding the Number Line

The introduction of negative numbers in sixth grade fundamentally changes how students think about numbers. Suddenly, the number line extends in both directions, and operations that seemed straightforward — like subtraction — take on new meaning. These integer worksheets help students develop intuition for negative numbers through structured practice with addition, subtraction, and comparison of positive and negative values.

Preparing for Pre-Algebra

Everything in sixth grade math is building toward algebra. Exponents teach students about repeated multiplication and mathematical notation. Integer operations prepare them for solving equations with negative solutions. Fraction and decimal fluency ensures they can handle the rational numbers that appear throughout algebraic expressions. Consistent practice with these worksheets gives students the computational confidence they need to succeed in pre-algebra and beyond.

Frequently Asked Questions

What math is taught in 6th grade?

Sixth grade math typically covers decimal multiplication and division, advanced fraction operations, exponents, integers and negative numbers, ratios, and an introduction to algebraic thinking.

How do you divide decimals?

To divide decimals, move the decimal point in the divisor to make it a whole number, then move the decimal point in the dividend the same number of places. Then divide as you would with whole numbers and place the decimal point in the quotient.

When do students learn about negative numbers?

Most curricula formally introduce negative numbers (integers) in 6th grade. Students learn to locate them on a number line, compare them, and perform basic operations with positive and negative values.

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