Free Math Worksheets for Grade 6
This is a comprehensive collection of free printable math worksheets for sixth grade, organized by topics such as multiplication, division, exponents, place value, algebraic thinking, decimals, measurement units, ratio, percent, prime factorization, GCF, LCM, fractions, integers, and geometry. They are randomly generated, printable from your browser, and include the answer key. The worksheets support any sixth grade math program, but go especially well with IXL's 6th grade math curriculum.
The worksheets are randomly generated each time you click on the links below. You can also get a new, different one just by refreshing the page in your browser (press F5).
You can print them directly from your browser window, but first check how it looks like in the "Print Preview". If the worksheet does not fit the page, adjust the margins, header, and footer in the Page Setup settings of your browser. Another option is to adjust the "scale" to 95% or 90% in the Print Preview. Some browsers and printers have "Print to fit" option, which will automatically scale the worksheet to fit the printable area.
All worksheets come with an answer key placed on the 2nd page of the file.
In sixth grade, students will start the study of beginning algebra (order of operations, expressions, and equations). They learn about ratios & percent and start using integers. Students also review long division, factoring, fraction arithmetic, and decimal arithmetic.In geometry, the focus is on the area of triangles and polygons and the volume of rectangular prisms. Other topics include rounding, exponents, GCF, LCM, and measuring units. Please note that these free worksheets do not cover all 6th grade topics; most notably, they do not include problem solving.
Multiplication and Division and Some Review
Long multiplication
 Multiply a 4digit number by a 2digit number
 Multiply a 5digit number by a 2digit number
 Multiply a 3digit number by a 3digit number
 Multiply a 4digit number by a 3digit number
 Multiply a 4digit number by a 4digit number
Long division
 1digit divisor, 5digit dividend, no remainder
 1digit divisor, 5digit dividend, with remainder
 1digit divisor, 6digit dividend, no remainder
 1digit divisor, 6digit dividend, with remainder
 1digit divisor, 7digit dividend, no remainder
 1digit divisor, 7digit dividend, with remainder
 2digit divisor, 5digit dividend, no remainder
 2digit divisor, 5digit dividend, with remainder
 2digit divisor, 6digit dividend, no remainder
 2digit divisor, 6digit dividend, with remainder
 2digit divisor, 7digit dividend, no remainder
 2digit divisor, 7digit dividend, with remainder
 3digit divisor, 6digit dividend, no remainder
 3digit divisor, 6digit dividend, with remainder
 3digit divisor, 7digit dividend, no remainder
 3digit divisor, 7digit dividend, with remainder
 Multiply decimals, writing the numbers under each other (02 decimal digits)
 Divide a whole number or a decimal by a whole number, need to add zeros to the dividend
 Convert a fraction to a decimal using long division, rounding the answers to three decimals
Convert measuring units using long division & multiplication
 Convert between inches & feet
 Convert between inches, feet, and yards
 Convert between ounces & pounds
Primary Grade Challenge Math by Edward Zaccaro
A good book on problem solving with very varied word problems and strategies on how to solve problems. Includes chapters on: Sequences, Problemsolving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. Each chapter’s questions are broken down into four levels: easy, somewhat challenging, challenging, and very challenging.
Exponents
Place value/Rounding
 Write a number in expanded form (up to 9 digits)
 Write a number in expanded form (up to 12 digits)
 Write a number given in expanded form in normal form (up to 9 digits), the parts are scrambled
 Write a number given in expanded form in normal form (up to 12 digits), the parts are scrambled
 Write a decimal number given in expanded form in normal form (up to 6 decimal digits), the parts are scrambled
 Mixed rounding problems 1  rounding to the underlined digit, up to rounding to the nearest million
 Mixed rounding problems 2  round to the underlined digit, up to rounding to the nearest trillion
Algebra
Order of operations
 Three operations, uses ÷ for division, no exponents
 Four operations, uses ÷ for division, no exponents
 Two or three operations, uses the fraction line for division, no exponents
 Two or three operations, uses the fraction line for division, exponents included
 Two, three, or four operations, uses the fraction line, exponents included
Expressions
 Evaluate expressions: usually one operation, no negative numbers
 Evaluate expressions: usually one operation, larger numbers, no negative numbers
 Write a number expression from expression given in words: one operation
 Write a number expression from expression given in words: two operations
 Simplify expressions (by combining like terms; no negative numbers)
 Multiply using the distributive property
 Factor the expressions
Equations
 Onestep equations with whole numbers (no negative numbers involved)
 Onestep equations where you need to first simplify something on one side
 (no negative numbers involved)
Key to Algebra Workbooks
Key to Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple language, and examples are easy to follow. Word problems relate algebra to familiar situations, helping students to understand abstract concepts. Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced. Students begin their study of algebra in Books 14 using only integers. Books 57 introduce rational numbers and expressions. Books 810 extend coverage to the real number system.
Fractions vs. Decimals
 Decimals to fractions or mixed numbers (tenths/hundredths/thousandths)
 Decimals to fractions or mixed numbers (up to millionths)
 Mixed numbers to decimals (denominators 10, 100, and 1000)
 Proper and improper fractions to decimals (denominators 10, 100, or 1000)
 Proper fractions to decimals (denominators powers of ten till 1,000,000)
 Mixed numbers to decimals (denominators powers of ten, till 1,000,000)
 Fractions or mixed numbers to decimals (easy, varied denominators)
 Fraction to decimals  need long division
 Fractions to decimals  mixed practice
Decimal Addition and Subtraction
 Mental addition/subtraction with up to 2 decimal digits
 Mental addition/subtraction  missing number
 Decimal addition or subtraction with 13 decimal digits
 Decimal addition or subtraction with 16 decimal digits
 Decimal addition, four addends
 Decimal subtraction, two subtrahends
Key to Decimals Workbooks
This is a workbook series by Key Curriculum Press that begins with basic concepts and operations on decimals. Then the books cover realworld uses of decimals in pricing, sports, metrics, calculators, and science.
The set includes books 14.
Decimal Multiplication
Mental multiplication
 Multiply a whole number and a decimal (13 decimal digits), easy
 Same as above, but with a missing factor
 Multiply a decimal by decimal mentally (up to 2 decimal digits times 2 decimal digits)
 Multiply a decimal by decimal mentally (up to 3 decimal digits times 3 decimal digits)
 Missing factor problems 1 (decimal by decimal, 1 or 2 decimals)
 Missing factor problems 2 (decimal by decimal, 13 decimals)
 Multiply decimals by 10, 100, or 1000 (13 decimal digits)
 Multiply decimals by 10, 100, or 1000; missing factor
 Multiply decimals by power of 10 (15 decimal digits)
 Multiply decimals by power of 10; missing factor
Multiply in columns
 Multiply a decimal with 13 decimal digits by a whole number
 Multiply a decimal with 12 decimal digits by another decimal with 12 decimal digits
 Multiply a decimal with 13 decimal digits by another decimal with 13 decimal digits
Decimal Division
Mental division
 Easy decimal division (dividend has 12 decimal digits, a whole number divisor)
 Like above, but missing dividend or divisor
 Divide decimals by decimals (Think of how many times the divisor fits into the quotient.)
 Mixed multiplication and division problems 1 (1 decimal digit)
 Divide whole numbers and decimals by 10, 100, or 1000
 Same as above, missing dividend or divisor
 Multiply or divide decimals & whole numbers by 10, 100, and 1000
 Divide whole numbers and decimals by 10, 100, 1000, or 10,000
 Divide whole numbers and decimals by 10, 100, 1000, or 10,000  missing dividend or divisor
Long division
 Divide decimals by whole numbers, 1digit divisor
 Divide decimals by whole numbers, 2digit divisor
 Divide a decimal by a whole number, add zeros to dividend if necessary
 Divide a decimal by a whole number, add zeros to dividend if necessary, more difficult
 Divide whole numbers, give answer to 3 decimal digits
 Divide decimals by decimals 1: Dividend less than 10; divisor 12 digits
 Divide decimals by decimals 2: Dividend varies more; divisor 12 digits
 Divide decimals by decimals 3: the divisor has 13 decimal digits
 Divide decimals by decimals, generic
Measuring units
Customary system
Convert measuring units using long division & multiplication (paper & pencil) or mental math
 Convert between inches & feet
 Convert between inches, feet, and yards
 Convert between ounces & pounds
 Convert between tons & pounds
 Convert between cups, pints, and quarts
 Convert between cups, pints, quarts, and gallons
 Convert between ounces, cups, and quarts
 All customary units except miles  mixed practice
 All customary units except miles  mixed practice  a challenge
Convert using a calculator, with decimals
 Convert between inches, feet, and yards  use a calculator
 Convert between miles, yards, and feet 1  use a calculator
 Convert between miles, yards, and feet 2  use a calculator
 Convert between tons, pounds, and ounces with decimals  use a calculator
 Convert between various customary units with decimals  use a calculator
Metric system
 Convert between mm, cm and m  using decimals
 Convert between mm, cm, m, and km  using decimals
 Convert between ml & l and g & kg  using decimals
 All metric units mentioned above  mixed practice  using decimals
 Metric system: convert between the units of length (mm, cm, dm, m, dam, hm, km)
 Metric system: convert between the units of weight (mg, cg, dg, g, dag, hg, kg)
 Metric system: convert between the units of volume (ml, cl, dl, L, dal, hl, kl)
 Metric system: convert between the units of length, weight, and volume
Ratio
Percent
 Change decimals to percents and vice versa
 As above, but allow more than 100%
 Find percentages of numbers  easy, percents are multiples of ten
 Easy practice with percentages over 100%
 Find percentages of numbers  easy, percents are multiples of ten
 Find percentages of numbers  medium, percents are multiples of five
 Find percentages of numbers  use a calculator
 Find what percentage a number is of another

Find percentages of number OR find what percentage a number is of another  easy
 Find percentages of number OR find what percentage a number is of another  use a calculator
Prime factorization, GCF, and LCM
 Factor numbers within 0100 to prime factors
 Factor numbers within 2500 to prime factors
 Find the greatest common factor of two numbers (easy, numbers within 150)
 Find the greatest common factor of two numbers (numbers within 1100)
 Find the greatest common factor of 3 numbers between 1 and 100
 Find the least common multiple of 2 numbers between 2 and 30
 Find the least common multiple of 2 numbers between 2 and 50
 Find the least common multiple of 3 numbers between 2 and 30
Fraction addition and subtraction
 Add & subtract unlike fractions  proper fractions, denominators 212
 Add & subtract unlike fractions  denominators 212
 Add & subtract unlike fractions  larger denominators
 Add & subtract 3 unlike fractions  proper fractions, denominators 28
 Add & subtract 4 unlike fractions  proper fractions, denominators 28
 Add & subtract 3 unlike fractions, denominators 212
 Add & subtract two mixed numbers  denominators 212
 Add & subtract two mixed numbers  larger denominators
 Add & subtract three mixed numbers  denominators 212
 Add & subtract whole numbers, fractions, or mixed numbers  mixed practice; denominators 212
Fraction multiplication
In all fraction multiplication and division problems, it helps to simplify before you multiply.
 Fraction times a whole number
 Fraction multiplication 1  3 fractions, denominators 212
 Fraction multiplication 2  3 fractions, denominators 220
 Fraction multiplication 3  4 fractions, denominators 212
 Mixed number times a fraction
 Mixed number times a mixed number
 Mixed multiplication practice 1 (two numbers; fractions, mixed numbers, or whole numbers)
 Mixed multiplication practice 2 (three numbers; fractions, mixed numbers, or whole numbers)
 A whole number times a fraction  missing factor
 A fraction times a fraction  missing factor
Fraction division
 Divide a whole number, fraction, or mixed number by a fraction  mental math, as the answers are whole numbers
 Fraction divided by a fraction
 Mixed number divided by a mixed number
 Mixed division practice (by fractions, mixed numbers, or whole numbers)
Convert fractions to mixed numbers and vv
 Convert mixed numbers to fractions
 Fractions to mixed numbers  easy
 Fractions to mixed numbers  not so easy
Simplify or equivalent fractions
 Simplify fractions  easy
 Simplify fractions  harder
 Simplify fractions  a challenge
 Equivalent fractions  easy
 Equivalent fractions  harder
 Equivalent fractions  hardest
Fractions vs. Decimals
 Decimals to fractions or mixed numbers (up to 3 decimals)
 Decimals to fractions or mixed numbers (up to 6 decimals)
 Mixed numbers to decimals (up to 3 decimals)
 Proper and improper fractions to decimals (up to 3 decimals)
 Proper fractions to decimals (up to 6 decimals)
 Mixed numbers to decimals (up to 6 decimals)
 Fractions or mixed numbers to decimals (easy, varied denominators)
 Fraction to decimals  need long division
 Fractions to decimals  mixed practice
Integers
Coordinate grid
 Plot points & shapes or tell coordinates of points 1
 Plot points & shapes or tell coordinates of points 2 (scaling on the grid is from 20 to 20)
 Move a shape either in 1 or 2 directions (up/down/left/right)
 Reflect shapes in x or yaxis
 Mixture of problems: move shapes or reflect them
Addition & subtraction
Addition and subtraction of integers are beyond the Common Core Standards for grade 6 but some curricula or standards may include them in 6th grade.
 Simple addition of integers within 10 to 10
 Simple addition of integers within 30 to 30
 Simple addition of integers, three addends
 Simple addition of integers, four addends (print in landscape)
 Simple missing addend problems
 More complex missing addend problems (print in landscape)
 Integer subtraction within 10 and 10
 Integer subtraction within 30 and 30
 Missing minuend and subtrahend problems
 Mixed addition and subtraction problems (within 20 and 20)
 Challenge: mixed addition and subtraction problems: missing numbers
Multiplication & Division
Multiplication and division of integers are beyond the Common Core Standards for grade 6 but the worksheets links are included here for completeness sake, as some curricula or standards may include them in 6th grade.
 Integer multiplication 1: easy
 Integer multiplication 2: medium
 Simple missing factor problems
 Integer multiplication, whole tens
 Simple division of integers
 Simple division of integers, missing dividend or divisor
 Mixed multiplication and division problems
Geometry
Area  these worksheets are done in the coordinate grid.
 Find the area of right triangles
 Find the area of right triangles, parallelograms, and trapezoids
 Find the area of triangles and quadrilaterals
 Find the area of quadrilaterals, pentagons, and hexagons
 Challenge: find the area of triangles & quadrilaterals (scaling on the grid is from 50 to 50)
Volume & surface area
Since these worksheets below contain images of variable sizes, please first check how the worksheet looks like in print preview before printing. If it doesn't fit, you can either print it scaled (such as at 90%), or make another one by refreshing the worksheet page (F5) until you get one that fits.
 Find the volume of a rectangular prism with fractional edge lengths (easy: halves, thirds, and fourths; the whole number part is max 1)
 Find the volume of a rectangular prism with fractional edge lengths (easy: halves, thirds, and fourths; the whole number part is max 2)
 Find the volume of a rectangular prism with fractional edge lengths (challenge: fractions up till sixths)
 Find the volume or surface area of rectangular prisms (easy)
 Find the volume or surface area of rectangular prisms (using decimals)
 Problem solving: find the volume/surface area/edge length of cube when surface area or volume is given
Optional topics
Proportions
 Easy proportions (can be solved by thinking of equivalent fractions)  only whole numbers
 Proportions (answers to be rounded to 1 decimal)
 Proportions  using decimals
 Simple proportion word problems
 Word problems like above, but using decimal numbers
Circle
 Find the circumference when either radius or diameter is given
 Find the area of the circle when either radius or diameter is given
 Challenge: calculate diameter/radius/area when circumference is given
If you wish to have more control on the options such as number of problems or font size or spacing of problems, or range of numbers, just click on these links to use the worksheet generators yourself:
2nd grade
3rd grade
4th grade
5th grade
6th grade
7th grade
Addition worksheets
Number bonds worksheets
Number Charts
Multiplication worksheets
Division worksheets
Basic operations: addition,
subtraction, multiplication
and division (incl. integers)
Roman numerals
Place value &
scientific notation
Rounding Time (clock)
Customary measuring units
Metric measuring units
Classify quadrilaterals
Area & perimeter of rectangles
Area of triangles & polygons
Coordinate grid, moves, reflections
Circle
US Money
Canadian Money
Australian Money
British Money
European Money
South African Money
Fraction worksheets 1
Fraction worksheets 2
Fraction addition
Comparing fractions
Equivalent fractions
Prime factorization / factors
GCF / LCM
Fraction Calculator
Decimal multiplication
Decimal division
Fraction/Decimal
Rounding decimals
Percent/Decimal
Percentage of a number
Various percentage problems
Exponents
Negative & zero exponents
Order of operations
Square Root
Proportions
Ratio word problems
Order of operations
Variable expressions
Evaluate expressions
Simplify expressions
Linear equations
Linear inequalities
Speed, time & distance
Graphing & slope
Equation calculator
Equation editor