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Home › Worksheets › Free 7th Grade Math Worksheets

Free 7th Grade Math Worksheets

Seventh grade math centers on one big idea: operating fluently with the full set of rational numbers. Students master the sign rules for negative numbers, multiply and divide decimals in complex problems, handle mixed fraction operations, and apply the order of operations across multi-step expressions. These worksheets drill exactly that computational core, each as a free PDF with an answer key.

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

Key Skills at This Level

  • Adding and subtracting negative integers
  • Multiplying and dividing negative integers
  • Multiplying and dividing decimals
  • Mixed operations with fractions and mixed numbers
  • Order of operations with parentheses and division
  • Working across number types in multi-step problems

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± 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

× 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

±×÷ Fractions - Mixed Operations

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

( ) Order of Operations

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

The Year of Negative Numbers

Sixth grade introduces integers; seventh grade demands fluency with them. Students must apply the sign rules automatically — a negative times a negative, subtracting a negative, dividing values with unlike signs — because pre-algebra assumes all of it. The integer worksheets on this page progress from introductory addition with negatives through mixed operations that combine every rule in one problem set.

Rational Numbers in Every Form

Seventh graders are expected to move between fractions, decimals, and integers without slowing down. That is why this page pairs the integer work with decimal multiplication and division and with mixed fraction operations: the same student who can compute −8 × 7 should also be able to handle 3.42 ÷ 0.6 and divide mixed numbers. The answer keys make it easy to identify which number type needs more attention.

Order of Operations, For Real This Time

Multi-step expressions stop being a novelty in seventh grade and start being the norm. The order of operations worksheets here use parentheses and division — the two elements students most often mishandle — so that evaluating expressions correctly becomes a habit before variables make everything harder.

Frequently Asked Questions

What math do 7th graders learn?

Seventh grade centers on operations with rational numbers — negative integers, fractions, and decimals — along with proportional reasoning and expressions. These worksheets drill the computational core: integer sign rules, decimal multiplication and division, complex fraction operations, and order of operations.

Why do students struggle with negative numbers in 7th grade?

The sign rules feel arbitrary when memorized without meaning. Grounding them on a number line (subtracting a negative moves right) and practicing each rule separately before mixing them builds real fluency — which is how the integer worksheets on this page are sequenced.

How should a 7th grader use these worksheets?

Pick the weakest skill first — most students know whether integers, decimals, or fractions trip them up. One focused page a few times a week, checked against the answer key, beats occasional marathon sessions.

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