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Place Value Year 6 Maths Homework

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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 grade 6 math program, but have been specifically designed to match Math Mammoth grade 6 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.


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 pricing, 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 - 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


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:



Place Value Worksheets

Place Value Worksheets for Practice

Here is a graphic preview for all of the place value worksheets. You can select different variables to customize these place value worksheets for your needs. The place value worksheets are randomly created and will never repeat so you have an endless supply of quality place value worksheets to use in the classroom or at home. Our place value worksheets are free to download, easy to use, and very flexible.

These place value worksheets are a great resource for children in Kindergarten, 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, and 5th Grade.

Click here for a Detailed Description of all the Place Value Worksheets.



Quick Link for All Place Value Worksheets

Click the image to be taken to that Place Value Worksheet.


Detailed Description for All Place Value Worksheets

Place Chart to One Hundred Billion with Decimals
These place value worksheets will create place value charts to use with your lesson plans. This place value chart goes from Hundred Billions to Hundred Thousandths. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Place Chart to One Hundred Billion No Decimals
These place value worksheets will create place value charts to use with your lesson plans. This place value chart goes from Hundred Billions to Ones. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Hundreds Table Worksheets
These place value worksheets will create Hundred Tables to use for testing or with lesson plans. You can select different hundred ranges to be displayed in the Hundred Table. The Hundreds Table may be created with all of the numbers filled in or all or a portion of the numbers left blank for the student to fill in. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Base 10 Blocks Worksheets
These place value worksheets are great for teaching children their Base 10 Counting using the different groups of blocks. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Expanded Form - Integer Worksheets
These place value worksheets are great for testing children on writing numbers out in expanded form. You may select 2, 3, 4, 5, 6, or 7 digit numbers to use and then when the children have mastered those individually then select the "Random Number of Digits" to generate a worksheet with a mixture of different types of problems. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Expanded Form - Decimal Worksheets
These place value worksheets are great for testing children on writing numbers out in expanded form that include decimals. You may select 2 and 3 digit numbers with tenths, hundredths, or thousandths decimals. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Expanded Form - Billions Worksheets
These place value worksheets are great for testing children on writing numbers in the billions in expanded form. You may select 7, 8, 9, 10, 11, or 12 digit numbers to use and when the children have mastered those individually, select the "Random Number of Digits" to generate a worksheet with a mixture of different types of problems. These place value worksheets are appropriate for 3rd Grade, 4th Grade and 5th Grade.

Standard Form - Integer Worksheets
These place value worksheets are great for testing children on writing numbers out in standard form. You may select 2, 3, 4, 5, 6, or 7 digit numbers to use and then when the children have mastered those individually then select the "Random Number of Digits" to generate a worksheet with a mixture of different types of problems. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Standard Form - Decimal Worksheets
These place value worksheets are great for testing children on writing numbers out in standard form that include decimals. You may select 2 and 3 digit numbers with tenths, hundredths, or thousandths decimals. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Standard Form - Billions Worksheets
These place value worksheets are great for testing children on writing numbers in the billions in standard form. You may select 7, 8, 9, 10, 11, or 12 digit numbers to use and when the children have mastered those individually, select the "Random Number of Digits" to generate a worksheet with a mixture of different types of problems. These place value worksheets are appropriate for 3rd Grade, 4th Grade and 5th Grade.

Expanded Notation - Integer Worksheets
These place value worksheets are great for teaching children to read and write numbers using expanded notation. You may select 2, 3, 4, 5, 6, or 7 digit numbers to use and then when the children have mastered those individually then select the "Random Number of Digits" to generate a worksheet with a mixture of different types of problems. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Expanded Notation - Decimal Worksheets
These place value worksheets are great for teaching children to read and write numbers with decimals using expanded notation. You may select 2, 3, or 4 digit numbers with tenths, hundredths, or thousandths decimals. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Expanded Form - Billions Worksheets
These place value worksheets are great for testing children on writing numbers in the billions in expanded form. You may select 7, 8, 9, 10, 11, or 12 digit numbers to use and when the children have mastered those individually, select the "Random Number of Digits" to generate a worksheet with a mixture of different types of problems. These place value worksheets are appropriate for 3rd Grade, 4th Grade and 5th Grade.

Writing the Word Names for Integer Numbers Worksheets
These place value worksheets are great for testing children on writing the word names from integer numbers. You may select 3, 4, 5, 6, or 7 digit numbers to use and then when the children have mastered those individually then select the "Random Number of Digits" to generate a worksheet with a mixture of different types of problems. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Writing the Word Names for Decimal Numbers Worksheets
These place value worksheets are great for testing children on writing the word names from decimal numbers. You may select tenth, hundredth, or thousandth digit numbers to use. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Writing the Word Names for Numbers in the Billions Worksheets
These place value worksheets are great for testing children on writing the word names from numbers in the billions. You may select 7, 8, 9, 10, 11, or 12 digit numbers to use and when the children have mastered those individually, select the "Random Number of Digits" to generate a worksheet with a mixture of different types of problems. These place value worksheets are appropriate for 3rd Grade, 4th Grade and 5th Grade.

Writing Integer Numbers for the Word Names Worksheets
These place value worksheets are great for testing children on writing the integer numbers from word names. You may select 3, 4, 5, 6, or 7 digit numbers to use and then when the children have mastered those individually then select the "Random Number of Digits" to generate a worksheet with a mixture of different types of problems. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Writing Decimal Numbers for the Word Names Worksheets
These place value worksheets are great for testing children on writing decimal numbers from word names. You may select tenth, hundredth, or thousandth digit numbers to use. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Writing Numbers in the Billions for the Word Names Worksheets
These place value worksheets are great for testing children on writing numbers in the billions from word names. You may select 7, 8, 9, 10, 11, or 12 digit numbers to use and when the children have mastered those individually, select the "Random Number of Digits" to generate a worksheet with a mixture of different types of problems. These place value worksheets are appropriate for 3rd Grade, 4th Grade and 5th Grade.

Matching Integer Numbers with Word Names Worksheets
These place value worksheets are great for testing children on their knowledge of integer numbers and integer word names. You may select 3, 4, 5, 6, or 7 digit numbers to use and then when the children have mastered those individually then select the "Random Number of Digits" to generate a worksheet with a mixture of different types of problems. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Matching Decimal Numbers with Word Names Worksheets
These place value worksheets are great for testing children on their knowledge of decimal numbers and decimal word names. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Matching Numbers in the Billions with Word Names Worksheets
These place value worksheets are great for testing children on matching numbers in the billions with the word names. You may select 7, 8, 9, 10, 11, or 12 digit numbers to use and when the children have mastered those individually, select the "Random Number of Digits" to generate a worksheet with a mixture of different types of problems. These place value worksheets are appropriate for 3rd Grade, 4th Grade and 5th Grade.

Place and Value for Integers Worksheets
These place value worksheets are great for testing children on the names of place values of integers. You may select 3, 4, 5, 6, 7, 8, 9, or 10 digit numbers to use. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Place and Value for Decimals Worksheets
These place value worksheets are great for testing children on names of place values for decimals. You may select 4, 5, or 6 digit numbers with 1, 2, or 3 numbers to the right of the decimal. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Place and Value for Money Worksheets
These place value worksheets are great for testing children on names of place values for money. You may select 3, 4, 5, or 6 digit money numbers to use. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Scientific Notation Worksheets
These place value worksheets are great for teaching children to read and write numbers in scientific notation. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Find the Mystery Number Worksheets
These place value worksheets are fun practice for children. They will decode different place values to find a Mystery Number. You may select 3, 4, 5, 6, or 7 digit numbers for the problems. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Place Value Puzzlers Worksheets
These place value worksheets will create a test with twenty word problems for place values concepts. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Rearrange Digits for the Largest and Smallest Numbers Worksheets
These place value worksheets are great for teaching children how to make the greatest and smallest numbers by rearranging the digits. You may select 3, 4, 5, 6, or 7 digit numbers to use and then when the children have mastered those individually then select the "Random Number of Digits" to generate a worksheet with a mixture of different types of problems. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Adding Commas Place Value Worksheets
These place value worksheets are great for teaching children the correct place for writing commas in large numbers. It will produce 4 through 10 digit numbers. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade.

Kindergarten Cut and Paste Place Value Worksheets
These place value worksheets will make a Place Value Problem that is great for teaching place values. These place value worksheets are appropriate for Pre-Kindergarten, Kindergarten, and 1st Grade.