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**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 www mathworksheetsland com grade 6 answer key 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 www mathworksheetsland com grade 6 answer key 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.

### Exponents

### Place value/Rounding

### 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.

=> 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

**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 *www mathworksheetsland com grade 6 answer key,* sports, metrics, calculators, and science.

The set includes books 1-4.

=> Learn more

### 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 - www mathworksheetsland com grade 6 answer key 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

### Prime factorization, GCF, and LCM

### Fraction addition and subtraction

### Fraction multiplication

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

### Fraction division

### Convert fractions to mixed numbers and vv

### Simplify or equivalent fractions

### Fractions vs. Decimals

### Integers

**Coordinate grid**

**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.*

**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.*

### Optional topics

### Proportions

### 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:

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Teacher Image Library packFeel free to download and enjoy these free worksheets on functions and relations. Each www mathworksheetsland com grade 6 answer key has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.

### Arithmetic

- Law of Sines and Cosines Worksheets
- Sine, Cosine, Tangent Worksheets
- Unit Circle Worksheet
- Graphing Sine and Cosine Worksheet
- Sine Cosine Graphs with Vertical Translations
- Sine, Cosine, Tangent Graphs with Phase Shifts
- Sine, Cosine, Tangent Graphs with Change in Period, Amplitude and Phase Shifts (All Translations)
- Tangent Equation, Graph Worksheet
- Graphing Sine, Cosine, Tangent with Change in Period
- Cumulative, Summative Worksheet on Periodic Trig Functions - period, amplitude, phase shift, radians, degrees,unit circle

- Parallelograms
- Polygons
- Proving Triangles Congruent
- Relations, Function in Math (Domain, Range)(Also listed under F for function)
- Sine Cosine Tangent (SOHCAHTOA)
- System of Linear Equations Worksheets and Activities Triangles
- Trapezoids
- Transformations

All of these worksheets and activities are available for free so long as they are used solely for educational, **noncommercial** purposes and are not distributed outside of a specific teacher's classroom.

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