What Math Do You Learn In 6th Grade

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Gratuitous Math Worksheets for Class 6

This is a comprehensive collection of costless printable math worksheets for sixth grade, organized past topics such as multiplication, partitioning, exponents, identify 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 6th grade math programme, but get peculiarly well with IXL's 6th grade math curriculum.

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In sixth grade, students will start the written report of beginning algebra (order of operations, expressions, and equations). They learn about ratios & percent and starting time using integers. Students also review long division, factoring, fraction arithmetic, and decimal arithmetics.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. Delight note that these free worksheets practise not encompass all sixth class 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 three-digit number past 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, v-digit dividend, with balance
• 1-digit divisor, vi-digit dividend, no remainder
• 1-digit divisor, 6-digit dividend, with residue
• 1-digit divisor, 7-digit dividend, no remainder
• 1-digit divisor, 7-digit dividend, with residual


• 2-digit divisor, 5-digit dividend, no residue
• 2-digit divisor, 5-digit dividend, with remainder
• 2-digit divisor, 6-digit dividend, no residue
• two-digit divisor, 6-digit dividend, with remainder
• ii-digit divisor, 7-digit dividend, no remainder
• ii-digit divisor, 7-digit dividend, with remainder


• 3-digit divisor, 6-digit dividend, no balance
• 3-digit divisor, vi-digit dividend, with residue
• 3-digit divisor, 7-digit dividend, no rest
• iii-digit divisor, seven-digit dividend, with residuum


• Multiply decimals, writing the numbers under each other (0-ii decimal digits)
• Divide a whole number or a decimal by a whole number, demand to add together zeros to the dividend
• Convert a fraction to a decimal using long sectionalisation, rounding the answers to three decimals

Convert measuring units using long partition & multiplication

• Convert between inches & anxiety
• Convert betwixt inches, feet, and yards
• Convert between ounces & pounds

Principal Grade Claiming 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, Coin, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. Each chapter'south questions are cleaved 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 course in normal form (up to 9 digits), the parts are scrambled
• Write a number given in expanded form in normal grade (upwards to 12 digits), the parts are scrambled
• Write a decimal number given in expanded form in normal class (up to half dozen decimal digits), the parts are scrambled


• Mixed rounding bug one - rounding to the underlined digit, up to rounding to the nearest million
• Mixed rounding issues 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 segmentation, 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: unremarkably one functioning, no negative numbers
• Evaluate expressions: usually i operation, larger numbers, no negative numbers


• Write a number expression from expression given in words: i operation
• Write a number expression from expression given in words: ii operations


• Simplify expressions (by combining like terms; no negative numbers)
• Multiply using the distributive property
• Factor the expressions

Equations

• Ane-step equations with whole numbers (no negative numbers involved)
• Ane-step equations where y'all need to first simplify something on 1 side
• (no negative numbers involved)

Central 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 report of algebra in Books 1-4 using merely integers. Books 5-7 introduce rational numbers and expressions. Books viii-10 extend coverage to the real number system.

=> Larn more

Fractions vs. Decimals

• Decimals to fractions or mixed numbers (tenths/hundredths/thousandths)
• Decimals to fractions or mixed numbers (upwardly 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 i,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 upwards to 2 decimal digits
• Mental improver/subtraction - missing number


• Decimal addition or subtraction with 1-3 decimal digits
• Decimal addition or subtraction with 1-vi decimal digits
• Decimal add-on, four addends
• Decimal subtraction, two subtrahends

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 embrace existent-earth uses of decimals in pricing, sports, metrics, calculators, and science.

The set includes books ane-4.

=> Learn more

Decimal Multiplication

Mental multiplication

• Multiply a whole number and a decimal (1-3 decimal digits), like shooting fish in a barrel
• Same as higher up, but with a missing factor
• Multiply a decimal by decimal mentally (upwardly to 2 decimal digits times 2 decimal digits)
• Multiply a decimal by decimal mentally (up to 3 decimal digits times three decimal digits)
• Missing factor problems one (decimal by decimal, 1 or two decimals)
• Missing factor problems 2 (decimal by decimal, 1-3 decimals)


• Multiply decimals by 10, 100, or 1000 (1-3 decimal digits)
• Multiply decimals past 10, 100, or g; missing factor
• Multiply decimals past power of 10 (ane-v decimal digits)
• Multiply decimals by power of 10; missing cistron

Multiply in columns

• Multiply a decimal with 1-3 decimal digits past a whole number
• Multiply a decimal with i-2 decimal digits by another decimal with 1-2 decimal digits
• Multiply a decimal with 1-3 decimal digits past another decimal with one-3 decimal digits

Decimal Partition

Mental division

• Easy decimal sectionalisation (dividend has one-2 decimal digits, a whole number divisor)
• Similar higher up, but missing dividend or divisor
• Divide decimals by decimals (Recall of how many times the divisor fits into the quotient.)


• Mixed multiplication and division problems one (1 decimal digit)


• Separate whole numbers and decimals by 10, 100, or 1000
• Same as to a higher place, missing dividend or divisor
• Multiply or split decimals & whole numbers by 10, 100, and one thousand


• Divide whole numbers and decimals by 10, 100, 1000, or ten,000
• Split up 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, ii-digit divisor


• Divide a decimal by a whole number, add zeros to dividend if necessary
• Dissever a decimal past a whole number, add together zeros to dividend if necessary, more than difficult
• Separate whole numbers, requite answer to 3 decimal digits


• Divide decimals by decimals 1: Dividend less than 10; divisor i-two digits
• Carve up decimals by decimals two: Dividend varies more; divisor 1-2 digits
• Divide decimals by decimals 3: the divisor has 1-3 decimal digits
• Dissever decimals by decimals, generic

Measuring units

Customary system

Catechumen measuring units using long division & multiplication (paper & pencil) or mental math

• Convert between inches & feet
• Catechumen betwixt inches, anxiety, and yards


• Convert betwixt ounces & pounds
• Convert between tons & pounds


• Convert between cups, pints, and quarts
• Catechumen between cups, pints, quarts, and gallons
• Convert betwixt ounces, cups, and quarts


• All customary units except miles - mixed practice
• All customary units except miles - mixed do - a claiming

Convert using a reckoner, with decimals

• Convert between inches, feet, and yards - utilise a calculator
• Catechumen between miles, yards, and anxiety 1 - use a calculator
• Convert between miles, yards, and feet 2 - use a estimator
• Convert between tons, pounds, and ounces with decimals - utilize a figurer
• Catechumen between various customary units with decimals - use a calculator

Metric system

• Catechumen between mm, cm and chiliad - using decimals
• Catechumen between mm, cm, m, and km - using decimals
• Convert betwixt ml & fifty 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 arrangement: convert between the units of book (ml, cl, dl, L, dal, hl, kl)


• Metric system: catechumen betwixt the units of length, weight, and volume

Ratio

• Write a ratio and simplify it
• Ratio word problems

Per centum

• Modify decimals to percents and vice versa
• As above, but let more than 100%
• Find percentages of numbers - easy, percents are multiples of ten
• Easy practice with percentages over 100%


• Detect percentages of numbers - piece of cake, percents are multiples of ten
• Find percentages of numbers - medium, percents are multiples of v
• Discover percentages of numbers - use a calculator


• Detect what percentage a number is of another
• Detect percentages of number OR notice what percentage a number is of another - like shooting fish in a barrel
  
• Find percentages of number OR find what percent a number is of some other - use a calculator

Prime factorization, GCF, and LCM

• Gene numbers within 0-100 to prime number factors
• Factor numbers within ii-500 to prime factors


• Find the greatest common cistron of two numbers (easy, numbers within 1-50)
• Detect the greatest common gene of two numbers (numbers within 1-100)
• Detect the greatest common factor of three numbers between 1 and 100


• Find the least mutual multiple of ii numbers between 2 and 30
• Notice the to the lowest degree common multiple of 2 numbers between 2 and l
• Find the least common multiple of iii numbers between 2 and thirty

Fraction addition and subtraction

• Add together & decrease different fractions - proper fractions, denominators 2-12
• Add & subtract unlike fractions - denominators 2-12
• Add & decrease dissimilar fractions - larger denominators
• Add & subtract 3 unlike fractions - proper fractions, denominators 2-eight
• Add together & subtract four unlike fractions - proper fractions, denominators ii-8
• Add & subtract 3 dissimilar fractions, denominators 2-12


• Add & subtract two mixed numbers - denominators two-12
• Add & decrease ii mixed numbers - larger denominators
• Add & decrease three mixed numbers - denominators 2-12
• Add & subtract whole numbers, fractions, or mixed numbers - mixed practise; denominators 2-12

Fraction multiplication

In all fraction multiplication and sectionalization issues, it helps to simplify before you lot multiply.

• Fraction times a whole number
• Fraction multiplication 1 - iii fractions, denominators 2-12
• Fraction multiplication 2 - three fractions, denominators 2-xx
• Fraction multiplication three - four fractions, denominators ii-12


• Mixed number times a fraction
• Mixed number times a mixed number
• Mixed multiplication exercise 1 (two numbers; fractions, mixed numbers, or whole numbers)
• Mixed multiplication exercise two (three numbers; fractions, mixed numbers, or whole numbers)


• A whole number times a fraction - missing factor
• A fraction times a fraction - missing factor

Fraction sectionalisation

• Carve up a whole number, fraction, or mixed number past a fraction - mental math, as the answers are whole numbers
• Fraction divided past a fraction
• Mixed number divided by a mixed number
• Mixed division exercise (by fractions, mixed numbers, or whole numbers)

Convert fractions to mixed numbers and vv

• Catechumen mixed numbers to fractions
• Fractions to mixed numbers - easy
• Fractions to mixed numbers - not then piece of cake

Simplify or equivalent fractions

• Simplify fractions - like shooting fish in a barrel
• 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 (upwardly to 3 decimals)


• Proper fractions to decimals (up to 6 decimals)
• Mixed numbers to decimals (upward to half dozen decimals)


• Fractions or mixed numbers to decimals (easy, varied denominators)
• Fraction to decimals - need long partition
• Fractions to decimals - mixed practice

Integers

Coordinate filigree

• Plot points & shapes or tell coordinates of points ane
• Plot points & shapes or tell coordinates of points ii (scaling on the grid is from -twenty to 20)


• Motility a shape either in 1 or 2 directions (upwardly/downward/left/correct)
• Reverberate shapes in x- or y-axis
• Mixture of bug: move shapes or reverberate them

Addition & subtraction

Addition and subtraction of integers are beyond the Common Core Standards for grade vi merely some curricula or standards may include them in sixth grade.

• Simple addition of integers within -x to 10
• Elementary add-on of integers within -xxx to 30
• Simple addition of integers, three addends
• Unproblematic add-on of integers, 4 addends (print in mural)
• Simple missing addend issues
• More complex missing addend bug (impress in mural)


• Integer subtraction within -10 and 10
• Integer subtraction within -xxx and xxx
• Missing minuend and subtrahend problems


• Mixed improver and subtraction problems (inside -20 and 20)
• Challenge: mixed addition and subtraction problems: missing numbers

Multiplication & Sectionalization

Multiplication and sectionalization of integers are beyond the Mutual Core Standards for form vi but the worksheets links are included here for abyss sake, as some curricula or standards may include them in 6th class.

• Integer multiplication 1: like shooting fish in a barrel
• Integer multiplication 2: medium


• Uncomplicated missing factor issues
• Integer multiplication, whole tens


• Simple sectionalisation of integers
• Uncomplicated division of integers, missing dividend or divisor


• Mixed multiplication and sectionalisation problems

Geometry

Expanse - these worksheets are done in the coordinate grid.

• Find the area of right triangles
• Notice the area of correct triangles, parallelograms, and trapezoids


• Notice the expanse of triangles and quadrilaterals
• Find the surface area of quadrilaterals, pentagons, and hexagons


• Challenge: find the area of triangles & quadrilaterals (scaling on the grid is from -l to l)

Book & surface surface area

Since these worksheets below contain images of variable sizes, please first cheque how the worksheet looks like in print preview before printing. If it doesn't fit, you can either print it scaled (such equally at 90%), or make some other one by refreshing the worksheet page (F5) until you get one that fits.

• Find the volume of a rectangular prism with partial edge lengths (easy: halves, thirds, and fourths; the whole number function is max 1)
• Find the volume of a rectangular prism with partial edge lengths (easy: halves, thirds, and fourths; the whole number role is max 2)
• Find the volume of a rectangular prism with fractional edge lengths (challenge: fractions up till sixths)


• Detect the volume or surface surface area of rectangular prisms (like shooting fish in a barrel)
• Find the book or surface area of rectangular prisms (using decimals)


• Problem solving: notice the volume/surface expanse/border length of cube when expanse or volume is given

Optional topics

Proportions

• Like shooting fish in a barrel proportions (can be solved past thinking of equivalent fractions) - only whole numbers
• Proportions (answers to exist rounded to i decimal)
• Proportions - using decimals
• Simple proportion word problems
• Word bug like above, but using decimal numbers

Circle

• Find the circumference when either radius or bore is given
• Find the area of the circumvolve when either radius or diameter is given
• Claiming: calculate bore/radius/area when circumference is given

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