Home - HomeschoolMath.net      IXL math practice
You are here: HomeWorksheets → Grade 6

Free Math Worksheets for Grade 6

These worksheets provide additional calculation practice for nearly all sixth grade math topics, following the Common Core standards and Math Mammoth grade 6 curriculum. Use them as you need!

The worksheets are generated automatically each time you click on the links below. 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 in the Print Preview, adjust your margins, header, and footer in the Page Setup settings of the browser. Or, adjust the "scale" to 90% or less in the Print Preview. Some browsers may have "Print to fit" option, which will automatically scale the worksheet to be so small as to fit the printable area.

The problem sheets are randomly generated, so you can get a new, different one just by hitting the refresh button on your browser (or F5).

They all come with an answer key; however, you need to click to the answer key page immediately after generating a worksheet, because the answer key also is generated 'on the fly', and won't exist later on, should you come looking for it later.

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.


Jump to:

Multiplication and division

Exponents

Place value/rounding

Algebra

Decimals

Measuring

 

Ratio

Percent

Factoring

Fractions

Integers

Geometry

Circle

Proportions


Multiplication and Division and Some Review


Long multiplication

Multiply a 4-digit number by a 2-digit number
Multiply a 5-digit number by a 2-digit number
Multiply a 3-digit number by a 3-digit number
Multiply a 4-digit number by a 3-digit number
Multiply a 4-digit number by a 4-digit number

Long division

1-digit divisor, 5-digit dividend, no remainder
1-digit divisor, 5-digit dividend, with remainder

1-digit divisor, 6-digit dividend, no remainder
1-digit divisor, 6-digit dividend, with remainder

1-digit divisor, 7-digit dividend, no remainder
1-digit divisor, 7-digit dividend, with remainder

2-digit divisor, 5-digit dividend, no remainder
2-digit divisor, 5-digit dividend, with remainder

2-digit divisor, 6-digit dividend, no remainder
2-digit divisor, 6-digit dividend, with remainder

2-digit divisor, 7-digit dividend, no remainder
2-digit divisor, 7-digit dividend, with remainder

3-digit divisor, 6-digit dividend, no remainder
3-digit divisor, 6-digit dividend, with remainder

3-digit divisor, 7-digit dividend, no remainder
3-digit divisor, 7-digit dividend, with remainder

If you wish for a smaller font size, more problems, more or less space, and so on, you can generate the worksheets yourself!

Multiply decimals, writing the numbers under each other (0-2 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 cover

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, Problem-solving, 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

Easy exponents
Challenge exponents
Write using 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

One-step equations with whole numbers (no negative numbers involved)
One-step equations where you need to first simplify something on one side (no negative numbers involved)



Key to Algebra workbook series

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 1-4 using only integers. Books 5-7 introduce rational numbers and expressions. Books 8-10 extend coverage to the real number system.

=> Learn more


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

Generate these yourself  
 

Decimal Addition and Subtraction


Mental addition/subtraction with up to 2 decimal digits
Mental addition/subtraction - missing number

Decimal addition or subtraction with 1-3 decimal digits
Decimal addition or subtraction with 1-6 decimal digits
Decimal addition, four addends
Decimal subtraction, two subtrahends

Generate decimal addition/subtraction sheets yourself  
 


Key to Decimals workbook series

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 real-world uses of decimals in pricing, sports, metrics, calculators, and science.

The set includes books 1-4.

=> Learn more


Decimal Multiplication

Mental multiplication

Multiply a whole number and a decimal (1-3 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, 1-3 decimals)

Multiply by 10, 100, or 1000 (1-3 decimal digits)
Like above, but missing factor
Multiply decimals by 10, 100, 1000, 10000, or 100,000 (1-5 decimal digits)
Like above but missing factor

Multiply in columns
Multiply a decimal with 1-3 decimal digits by a whole number
Multiply a decimal with 1-2 decimal digits by another decimal with 1-2 decimal digits
Multiply a decimal with 1-3 decimal digits by another decimal with 1-3 decimal digits

 

Decimal Division

Mental division

Easy decimal division (dividend has 1-2 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


Key to Decimals workbook series

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 real-world uses of decimals in pricing, sports, metrics, calculators, and science.

The set includes books 1-4.

=> Learn more



Long division

Divide decimals by whole numbers, 1-digit divisor
Divide decimals by whole numbers, 2-digit 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 1-2 digits
Divide decimals by decimals 2: Dividend varies more; divisor 1-2 digits
Divide decimals by decimals 3: the divisor has 1-3 decimal digits
Divide decimals by decimals, generic
 
Generate decimal multiplication or division worksheets yourself
 

Measuring units

Customary system

Convert 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


Key to Measurements workbook series

Key to Measurements Workbooks

Key to Measurement workbooks include a variety of hands-on experiences related to the customary units of measurement. Group projects are included in addition to numerous individual activities. In Book 1, students learn how a linear measurement system is developed and then do activities related to measuring length. Book 2 focuses on length, perimeter, and area measures. In Book 3, the concept of area is further developed, and students are introduced to volume. Book 4 covers a variety of topics. Students experiment with weighing objects and measuring capacity, and they also learn about temperature and time.

=> Learn more


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

You can use the measuring worksheets generator to generate more different kinds of measuring unit worksheets.

Ratio

Write a ratio and simplify it
Ratio word problems


Brain Quest workbook, grade 6

Brain Quest Workbook: Grade 6

The book boasts 300 pages jam-packed with curriculum-based activities and exercises in every subject, with a focus on math and language arts. Original full-color illustrations throughout give the book a bright, lively style that will appeal to older kids. It is engaging, user-friendly, and written to make schoolwork fun. Sixth graders will delve into research and analysis, metaphor and meaning, ratios and proportions, expressions and equations, and geometry. The workbook covers spelling and vocabulary, writing, social studies, science, and more.

=> Learn more

See more Brain Quest workbooks at Amazon



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 how many percent a number is of another
Find percentages of number OR find how many percent a number is of another - easy
Find percentages of number OR find how many percent a number is of another - use a calculator


Key to Percents workbook series

Key to Percents Workbooks

Key to Percents first emphasizes mental computation and estimation skills--since most work with percents is done without pencil and paper. Then students are taught to solve percent problems using equal fractions and decimal multiplication. Finally, percents are used to solve word problems in a variety of applications. Key to Percents assumes only a knowledge of fraction and decimal computation. Book 1 covers Percent Concepts. Book 2 covers Percents and Fractions. Book 3 covers Percents and Decimals.

=> Learn more


Factoring, GCF, and LCM


Factor numbers within 0-100 to prime factors
Factor numbers within 2-500 to prime factors

Find the greatest common factor of two numbers (easy, numbers within 1-50)
Find the greatest common factor of two numbers (numbers within 1-100)
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 2-12
Add & subtract unlike fractions - denominators 2-12
Add & subtract unlike fractions - larger denominators
Add & subtract 3 unlike fractions - proper fractions, denominators 2-8
Add & subtract 4 unlike fractions - proper fractions, denominators 2-8

Add & subtract 3 unlike fractions, denominators 2-12

Add & subtract two mixed numbers - denominators 2-12
Add & subtract two mixed numbers - larger denominators
Add & subtract three mixed numbers - denominators 2-12
Add & subtract whole numbers, fractions, or mixed numbers - mixed practice; denominators 2-12


Make more add/subtract sheets yourself



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 2-12
Fraction multiplication 2 - 3 fractions, denominators 2-20
Fraction multiplication 3 - 4 fractions, denominators 2-12

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)

Make more multiplication or division worksheets yourself


Key to Fractions workbook series

Key to Fractions Workbooks

These workbooks by Key Curriculum Press feature a number of exercises to help your child learn about fractions. Book 1 teaches fraction concepts, Book 2 teaches multiplying and dividing, Book 3 teaches adding and subtracting, and Book 4 teaches mixed numbers. Each book has a practice test at the end.

=> Learn more


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

Generate these yourself.

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

Generate these yourself
 
Key to Fractions workbook series

Key to Fractions Workbooks

These workbooks by Key Curriculum Press feature a number of exercises to help your child learn about fractions. Book 1 teaches fraction concepts, Book 2 teaches multiplying and dividing, Book 3 teaches adding and subtracting, and Book 4 teaches mixed numbers. Each book has a practice test at the end.

=> Learn more



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 y-axis
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 the worksheets links are included here for completeness sake, as 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
Simple missing addend problems
More complex missing addend problems

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


Brain Quest workbook, grade 6

Brain Quest Workbook: Grade 6

The book boasts 300 pages jam-packed with curriculum-based activities and exercises in every subject, with a focus on math and language arts. Original full-color illustrations throughout give the book a bright, lively style that will appeal to older kids. It is engaging, user-friendly, and written to make schoolwork fun. Sixth graders will delve into research and analysis, metaphor and meaning, ratios and proportions, expressions and equations, and geometry. The workbook covers spelling and vocabulary, writing, social studies, science, and more.

=> Learn more

See more Brain Quest workbooks at Amazon


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
 

You can create integers worksheets yourself here!

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)

Generate worksheets for the area of polygons yourself


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


Generate worksheets for volume & surface area of rectangular prisms yourself


Key to Geometry workbook series

Key to Geometry Workbooks

Here is a non-intimidating way to prepare students for formal geometry. Key to Geometry workbooks introduce students to a wide range of geometric discoveries as they do step-by-step constructions. Using only a pencil, compass, and straightedge, students begin by drawing lines, bisecting angles, and reproducing segments. Later they do sophisticated constructions involving over a dozen steps-and are prompted to form their own generalizations. When they finish, students will have been introduced to 134 geometric terms and will be ready to tackle formal proofs.

=> Learn more



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


Brain Quest workbook, grade 6

Brain Quest Workbook: Grade 6

The book boasts 300 pages jam-packed with curriculum-based activities and exercises in every subject, with a focus on math and language arts. Original full-color illustrations throughout give the book a bright, lively style that will appeal to older kids. It is engaging, user-friendly, and written to make schoolwork fun. Sixth graders will delve into research and analysis, metaphor and meaning, ratios and proportions, expressions and equations, and geometry. The workbook covers spelling and vocabulary, writing, social studies, science, and more.

=> Learn more

See more Brain Quest workbooks at Amazon



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:


Math Worksheets Menu
1st grade
2nd grade
3rd grade
4th grade
5th grade
6th grade
7th grade

Addition 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)
Measuring units
Classify triangles
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
Comparing fractions
Equivalent fractions
Prime factorization / factors
GCF / LCM
Fraction Calculator
  Decimal worksheets
Decimal multiplication
Decimal division
Fraction/Decimal

Percent/Decimal
Percent of number
Find percent
or percentage


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

Free math worksheets and practice - Adapted Mind

Free algebra and geometry lessons