Answers To Everyday Mathematics 6th Grade Volume 2

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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 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

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

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

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 decimals by 10, 100, or 1000 (1-3 decimal digits)
Multiply decimals by 10, 100, or 1000; missing factor
Multiply decimals by power of 10 (1-5 decimal digits)
Multiply decimals by power of 10; 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

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

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

Write a ratio and simplify it
Ratio word problems

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 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

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)

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 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 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:

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