Manatee School for the Arts Gth Grade Summer Assignment Section 4 Adding and Subtracting Fractions

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Free Math Worksheets for Class 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, per centum, prime factorization, GCF, LCM, fractions, integers, and geometry. They are randomly generated, printable from your browser, and include the reply key. The worksheets support any sixth grade math program, but get especially well with IXL'due south 6th grade math curriculum.

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In sixth grade, students volition kickoff the written report of start algebra (society of operations, expressions, and equations). They learn almost ratios & percent and get-go 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 non cover all 6th course topics; most notably, they practise not include problem solving.

Multiplication and Segmentation and Some Review

Long multiplication

• Multiply a 4-digit number past a 2-digit number
• Multiply a 5-digit number by a ii-digit number
• Multiply a 3-digit number past a iii-digit number
• Multiply a iv-digit number by a iii-digit number
• Multiply a 4-digit number by a four-digit number

Long division

• 1-digit divisor, v-digit dividend, no residual
• 1-digit divisor, five-digit dividend, with remainder
• 1-digit divisor, 6-digit dividend, no remainder
• i-digit divisor, 6-digit dividend, with residuum
• i-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, five-digit dividend, with remainder
• 2-digit divisor, 6-digit dividend, no remainder
• 2-digit divisor, half-dozen-digit dividend, with remainder
• 2-digit divisor, vii-digit dividend, no residuum
• ii-digit divisor, vii-digit dividend, with remainder


• 3-digit divisor, 6-digit dividend, no remainder
• 3-digit divisor, 6-digit dividend, with remainder
• three-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)
• Separate 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 division, rounding the answers to three decimals

Convert measuring units using long division & multiplication

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

Primary Form Challenge Math by Edward Zaccaro

A skilful book on trouble solving with very varied discussion bug and strategies on how to solve problems. Includes capacity 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

• Like shooting fish in a barrel exponents
• Challenge exponents
• Write using exponents

Place value/Rounding

• Write a number in expanded course (up to 9 digits)
• Write a number in expanded form (upwardly to 12 digits)


• Write a number given in expanded grade in normal grade (up to 9 digits), the parts are scrambled
• Write a number given in expanded course in normal form (up to 12 digits), the parts are scrambled
• Write a decimal number given in expanded form in normal grade (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 partitioning, no exponents
• Four operations, uses ÷ for segmentation, no exponents
• 2 or three operations, uses the fraction line for division, no exponents
• Ii or three operations, uses the fraction line for segmentation, exponents included
• Two, three, or 4 operations, uses the fraction line, exponents included

Expressions

• Evaluate expressions: commonly one operation, no negative numbers
• Evaluate expressions: usually one performance, 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

• Ane-footstep 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 Workbooks

Key to Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple linguistic communication, and examples are piece of cake to follow. Word problems relate algebra to familiar situations, helping students to empathise 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.

=> 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 chiliad)
• Proper and improper fractions to decimals (denominators 10, 100, or 1000)


• Proper fractions to decimals (denominators powers of ten till one,000,000)
• Mixed numbers to decimals (denominators powers of ten, till one,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 ii decimal digits
• Mental addition/subtraction - missing number


• Decimal add-on or subtraction with 1-3 decimal digits
• Decimal addition or subtraction with ane-6 decimal digits
• Decimal addition, 4 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-world uses of decimals in pricing, sports, metrics, calculators, and scientific discipline.

The set up includes books 1-four.

=> Larn more

Decimal Multiplication

Mental multiplication

• Multiply a whole number and a decimal (one-3 decimal digits), easy
• Same as above, but with a missing cistron
• Multiply a decimal by decimal mentally (up to 2 decimal digits times ii decimal digits)
• Multiply a decimal past decimal mentally (up to three decimal digits times 3 decimal digits)
• Missing factor problems 1 (decimal by decimal, 1 or ii decimals)
• Missing gene problems two (decimal by decimal, 1-3 decimals)


• Multiply decimals past ten, 100, or thousand (1-iii decimal digits)
• Multiply decimals by ten, 100, or g; missing factor
• Multiply decimals past ability of 10 (one-5 decimal digits)
• Multiply decimals by ability of 10; missing cistron

Multiply in columns

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

Decimal Segmentation

Mental division

• Easy decimal sectionalisation (dividend has one-two decimal digits, a whole number divisor)
• Like above, simply missing dividend or divisor
• Divide decimals by decimals (Recollect of how many times the divisor fits into the caliber.)


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


• Dissever whole numbers and decimals by x, 100, or 1000
• Same as higher up, missing dividend or divisor
• Multiply or divide decimals & whole numbers by x, 100, and yard


• Divide whole numbers and decimals by 10, 100, m, or x,000
• Separate whole numbers and decimals past 10, 100, 1000, or 10,000 - missing dividend or divisor

Long division

• Split decimals by whole numbers, one-digit divisor
• Divide decimals past whole numbers, 2-digit divisor


• Divide a decimal by a whole number, add together zeros to dividend if necessary
• Divide a decimal by a whole number, add together zeros to dividend if necessary, more hard
• Split whole numbers, give reply to three decimal digits


• Divide decimals past decimals 1: Dividend less than x; divisor ane-2 digits
• Divide decimals by decimals 2: Dividend varies more; divisor ane-two digits
• Divide decimals past 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

• Catechumen between inches & feet
• Catechumen between inches, feet, and yards


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


• Catechumen 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

Catechumen using a calculator, with decimals

• Convert between inches, anxiety, and yards - use a estimator
• Convert between miles, yards, and feet 1 - use a reckoner
• Catechumen between miles, yards, and feet two - use a computer
• Convert between tons, pounds, and ounces with decimals - utilise a calculator
• Convert between various customary units with decimals - apply a reckoner

Metric system

• Convert between mm, cm and m - using decimals
• Convert betwixt mm, cm, m, and km - using decimals
• Convert betwixt ml & 50 and g & kg - using decimals


• All metric units mentioned higher up - mixed exercise - using decimals


• Metric organization: catechumen between the units of length (mm, cm, dm, chiliad, dam, hm, km)
• Metric system: convert between the units of weight (mg, cg, dg, g, dag, hg, kg)
• Metric organization: convert between the units of volume (ml, cl, dl, Fifty, dal, hl, kl)


• Metric system: convert between the units of length, weight, and volume

Ratio

• Write a ratio and simplify it
• Ratio word issues

Per centum

• Change decimals to percents and vice versa
• As above, merely allow more than 100%
• Find percentages of numbers - like shooting fish in a barrel, percents are multiples of ten
• Easy do with percentages over 100%


• Find percentages of numbers - easy, percents are multiples of ten
• Find percentages of numbers - medium, percents are multiples of five
• Observe percentages of numbers - use a figurer


• Find what per centum a number is of another
• Find percentages of number OR find what per centum a number is of some other - easy
  
• Find percentages of number OR notice what percentage a number is of some other - utilise a calculator

Prime factorization, GCF, and LCM

• Factor numbers within 0-100 to prime factors
• Factor numbers within 2-500 to prime factors


• Observe the greatest common factor of 2 numbers (piece of cake, numbers within i-l)
• Find the greatest common factor of two numbers (numbers within i-100)
• Observe the greatest common factor of three numbers between ane and 100


• Find the least common multiple of 2 numbers between ii and xxx
• Find the least common multiple of ii numbers between ii and 50
• Detect the to the lowest degree common multiple of 3 numbers between 2 and 30

Fraction addition and subtraction

• Add & subtract different fractions - proper fractions, denominators 2-12
• Add & subtract dissimilar fractions - denominators ii-12
• Add together & subtract different fractions - larger denominators
• Add together & subtract 3 unlike fractions - proper fractions, denominators two-viii
• Add together & subtract iv unlike fractions - proper fractions, denominators 2-viii
• Add & decrease 3 different fractions, denominators 2-12


• Add & subtract two mixed numbers - denominators ii-12
• Add & subtract 2 mixed numbers - larger denominators
• Add & decrease 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 earlier 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 three - four fractions, denominators 2-12


• Mixed number times a fraction
• Mixed number times a mixed number
• Mixed multiplication practise one (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 do (by fractions, mixed numbers, or whole numbers)

Convert fractions to mixed numbers and vv

• Convert mixed numbers to fractions
• Fractions to mixed numbers - piece of cake
• Fractions to mixed numbers - not so easy

Simplify or equivalent fractions

• Simplify fractions - easy
• Simplify fractions - harder
• Simplify fractions - a claiming
• Equivalent fractions - easy
• Equivalent fractions - harder
• Equivalent fractions - hardest

Fractions vs. Decimals

• Decimals to fractions or mixed numbers (upward to 3 decimals)
• Decimals to fractions or mixed numbers (upwardly to 6 decimals)


• Mixed numbers to decimals (up to 3 decimals)
• Proper and improper fractions to decimals (up to three decimals)


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


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


• Motion a shape either in 1 or ii directions (up/down/left/right)
• Reflect shapes in x- or y-axis
• Mixture of problems: motion shapes or reflect them

Improver & subtraction

Addition and subtraction of integers are across the Common Core Standards for class 6 just some curricula or standards may include them in 6th grade.

• Simple addition of integers inside -10 to 10
• Simple add-on of integers within -thirty to xxx
• Simple addition of integers, three addends
• Simple improver of integers, 4 addends (print in mural)
• Elementary missing addend bug
• More circuitous missing addend problems (impress in landscape)


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


• Mixed addition and subtraction problems (within -20 and 20)
• Challenge: mixed add-on and subtraction problems: missing numbers

Multiplication & Division

Multiplication and division of integers are beyond the Common Cadre Standards for class 6 merely the worksheets links are included here for completeness sake, as some curricula or standards may include them in 6th class.

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


• Unproblematic missing factor problems
• Integer multiplication, whole tens


• Simple division of integers
• Elementary segmentation of integers, missing dividend or divisor


• Mixed multiplication and division problems

Geometry

Expanse - these worksheets are done in the coordinate grid.

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


• Discover the surface 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 & 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 information technology scaled (such every bit at 90%), or make another 1 by refreshing the worksheet page (F5) until you get one that fits.

• Detect the volume of a rectangular prism with fractional edge lengths (easy: halves, thirds, and fourths; the whole number part is max 1)
• Observe the book of a rectangular prism with fractional edge lengths (easy: halves, thirds, and fourths; the whole number part is max ii)
• Find the volume of a rectangular prism with fractional edge lengths (challenge: fractions up till sixths)


• Find the volume or surface surface area of rectangular prisms (easy)
• Observe the volume or surface area of rectangular prisms (using decimals)


• Problem solving: find the volume/expanse/edge length of cube when surface area or volume is given

Optional topics

Proportions

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

Circle

• Detect the circumference when either radius or bore is given
• Find the expanse of the circle when either radius or diameter is given
• Claiming: summate diameter/radius/area when circumference is given

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