 ## Free Math Worksheets for Grade 6

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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

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 #### 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.

### 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

Equations #### 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.

### 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 #### 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.

### Decimal Multiplication

Mental multiplication

Multiply in columns

### 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

### 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

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

### Fraction multiplication

In all fraction multiplication and division problems, it helps to simplify before you multiply.

### Integers

Coordinate grid

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.

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.

### Geometry

Area - these worksheets are done in the coordinate grid.

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.

### Circle

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:

Welcome to Middle School!

Your math teachers are very excited to meet you this September!

To help you stay math-strong and get math-ready for 6th grade, we’ve put together a list of optional summer practice work. Anything from 5 minutes per day to 30 minutes per week is helpful in keeping you current with the math you learned in elementary school.

The skills practice is a mix of worksheets that you can print at home or online skills practice using iXL.  You will get a letter from Ms. Richard, the K-12 Math program coordinator, explaining how you can access your iXL account this summer.

Before you get started, here are some helpful hints to keep you organized for your optional summer work:

1. It’s always a great idea to keep your work in one location. So get a binder or a spiral bound notebook where you can write things down. Looking back on your problem solving later might be helpful to you. Even if you use iXL, sometimes you need to write things down to solve problems. If you have a lot of trouble in any specific area, your teacher can look at your work later to see where you might have made mistakes.
2. Do your work in pencil so that you can erase, if necessary.
3. Try doing the work without a calculator if you can. Practicing your math facts while you are problem solving will help you to build your computation skills.
4. Don’t get frustrated. If you are stuck, just move on to the next problem. Maybe if you take a break, you’ll have a brainstorm :) And if you don’t, it’s ok. Your teacher will be happy to help you in the fall. Write down your questions so you remember to ask them later!
5. Have fun! This work is not intended to be stressful for you. It’s just summer exercise for your math-brain.

The important things we want you to focus on are:

Multiplication and Division facts

Fractions

Mixed Numbers

Decimals

If you want to make flashcards to practice any of these skills, that’s a great idea! Multiplication and division facts (up to 12) are incredibly important to your success in middle school. Even a few minutes a day to keep up your fluency is worthwhile.

There is a “playlist” chart attached at the end of this letter. You can access the practice materials by clicking the links (or copying them to your browser). There are links to specific iXL skills for practicing concepts you learned in 5th grade and there are also “workbooks” (with answer keys) if you want to print your own materials so that you can problem solve off-line.

## IXL: Math -- Sixth-grade skills

IXL's sixth-grade math module uses interactive student worksheets to cover a tremendous amount of content, most of which is aligned to the Common Core standards. Nearly 300 skills are organized into 28 categories -- you'll find worksheets for virtually any topic related to sixth-grade math. Categories include rational numbers, operations on decimals, integers, operations on fractions, money, consumer math, data and graphs, number theory, geometry, and more. Each worksheet is timed and scored, and questions increase in difficulty as students progress.

This is an excellent opportunity for students to practice skills they've already learned in the classroom. Because scores are tracked, these worksheets are best suited for individual use. After covering a skill in class, have students complete relevant worksheets on their own. Challenge students to earn the best score possible without worrying about their times. As students become more comfortable with the skill, have them complete the worksheets again so they can try for higher scores and faster times. One of the best features of the worksheets is the detailed feedback students receive if they get an answer wrong. Capitalize on this tool by encouraging students to take written notes on any feedback they receive, then follow up with a brief classroom discussion about it.

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With her husband. Make peace, no. I do not know. I don't really want to, to be honest. I looked again in the rearview mirror.

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