Grade 6 Math Worksheets: Skills Typically Taught in Sixth Grade
Sixth grade consolidates elementary arithmetic fluency as students transition toward middle school pre-algebra. Core focal areas include multi-digit long division algorithms with remainders, multi-digit decimal computation, fraction simplification, and cumulative mixed-operation review.
Grade 6 Math Weekly Practice Pack
Need a balanced full-week packet? Print all 42 problems across 5 core Grade 6 skills in one combined document with sectioned answer keys.
Core Skills Typically Taught in Grade 6
- Multi-digit long division mastery with 3-digit and 4-digit dividends
- Standard algorithm multiplication fluency across complex 3x2 digit numbers
- Precision decimal column addition and subtraction
- Comprehensive arithmetic review and diagnostic assessment for middle school placement
Grade 6 Math Skill Map: What to Practice & In What Order
A school-year sequence of foundational Sixth Grade math skills for homeschoolers and parents.
Not sure where to start?
If you are not sure where to start, diagnose multi-digit long division and negative numbers on the number line first. Sixth grade marks the critical shift from elementary arithmetic to pre-algebraic reasoning. Practice 15 minutes a day with one targeted worksheet, checking answers promptly to solidify calculation confidence.
- 1
Understand ratios and compute unit rates
Use ratio language to describe proportional relationships and compute unit rates in contextual scenarios.
CCSS: 6.RP.A.1, 6.RP.A.2 | EngageNY: Grade 6 Module 1Classroom concept - 2
Divide fractions by fractions using reciprocal models
Compute quotients of fractions and solve word problems involving the division of fractions by fractions.
CCSS: 6.NS.A.1 | EngageNY: Grade 6 Module 2Classroom concept - 3
Fluently divide multi-digit numbers using the standard algorithm
Divide multi-digit whole numbers up to five-digit dividends by two-digit divisors with precision.
CCSS: 6.NS.B.2 | EngageNY: Grade 6 Module 2 - 4
Add, subtract, and multiply multi-digit decimals
Fluently compute multi-digit decimal operations using the standard algorithm for each operational step.
CCSS: 6.NS.B.3 | EngageNY: Grade 6 Module 2 - 5
Positive and negative rational numbers on a number line
Plot, compare, and order positive and negative integers and rational numbers on horizontal and vertical number lines.
CCSS: 6.NS.C.5, 6.NS.C.6 | EngageNY: Grade 6 Module 3 - 6
Evaluate expressions with exponents and order of operations
Write and evaluate numerical expressions involving whole-number exponents using PEMDAS rules.
CCSS: 6.EE.A.1 | EngageNY: Grade 6 Module 4 - 7
Write, read, and evaluate expressions with variables
Evaluate algebraic expressions at specific values of their variables, including expressions arising from practical formulas.
CCSS: 6.EE.A.2 | EngageNY: Grade 6 Module 4Classroom concept - 8
Solve one-step algebraic equations
Solve one-step equations of the form x + p = q and px = q for cases where p, q, and x are non-negative rational numbers.
CCSS: 6.EE.B.7 | EngageNY: Grade 6 Module 4Classroom concept - 9
Calculate area of triangles, parallelograms, and polygons
Find the area of right triangles, special quadrilaterals, and composite polygons by decomposing into basic shapes.
CCSS: 6.G.A.1 | EngageNY: Grade 6 Module 5 - 10
Calculate mean, median, mode, and range of data sets
Summarize numerical data sets by computing measures of center (mean, median) and variability (range).
CCSS: 6.SP.B.5 | EngageNY: Grade 6 Module 6Classroom concept - 11
Comprehensive arithmetic spiral review for pre-algebra
Synthesize multi-digit long division, decimals, fractions, and multi-step word problems to maintain calculation stamina.
CCSS: 6.NS.B.2, 6.NS.B.3 | EngageNY: Grade 6 Cumulative Review
Skill Map Sources Note: This skill map follows the order most U.S. classrooms meet these skills across the school year, based on published curriculum sequences. Sources: EngageNY / Eureka Math module sequences (NYSED), Illustrative Mathematics scope & sequence, and Common Core State Standards for Mathematics domain clusters. Independent educational practice; not affiliated with or endorsed by these curriculum authors.
Grade 6 Worksheet Generators
8 Generators Matching Grade 6Multi-Digit Multiplication
2x1, 2x2, 3x1, and 3x2 digit standard algorithm practice with spacious work areas.
Long Division with & without Remainders
Standard long division with single-digit divisors, remainders, and decimal quotients terminating to hundredths.
Decimal Addition & Subtraction (Money Math)
Adding and subtracting decimals lined up by decimal points, with real-world currency contexts.
Custom Mixed Operation Review
Combine multiple arithmetic skills into a single custom assessment or homework review sheet.
Story & Word Problems
Real-world single-step and two-step math word problems covering addition, subtraction, multiplication, and division with matching units.
Perimeter & Area of Polygons
Calculate the perimeter and area of rectangles, squares, right triangles, and composite rectilinear figures with vector diagram models.
Order of Operations (PEMDAS)
Solve multi-step expressions following PEMDAS rules with mixed operations (+, -, ×, ÷), grouping parentheses, and exponents.
Number Lines (Whole Numbers, Fractions & Negatives)
Identify plotted points, fill in missing values, or generate blank number lines with whole numbers, fractions, and negative integers.
Suggested 6th Grade Mastery & Exit Ticket Routine (15 Minutes Daily)
Use short 5-problem exit tickets to rapidly diagnose arithmetic misconceptions in long division and decimal alignment before advancing to pre-algebra equations and ratios.