sixth grade math homework

• Number Charts
• Multiplication
• Long division
• Basic operations
• Telling time
• Place value
• Roman numerals
• Fractions & related
• Add, subtract, multiply,   and divide fractions
• Mixed numbers vs. fractions
• Equivalent fractions
• Prime factorization & factors
• Fraction Calculator
• Decimals & Percent
• Add, subtract, multiply,   and divide decimals
• Fractions to decimals
• Percents to decimals
• Percentage of a number
• Percent word problems
• Classify triangles
• Classify quadrilaterals
• Circle worksheets
• Area & perimeter of rectangles
• Area of triangles & polygons
• Coordinate grid, including   moves & reflections
• Volume & surface area
• Pre-algebra
• Square Roots
• Order of operations
• Scientific notation
• Proportions
• Ratio word problems
• Write expressions
• Evaluate expressions
• Simplify expressions
• Linear equations
• Linear inequalities
• Graphing & slope
• Equation calculator
• Equation editor
• Elementary Math Games
• Addition and subtraction
• Math facts practice
• The four operations
• Factoring and number theory
• Geometry topics
• Middle/High School
• Statistics & Graphs
• Probability
• Trigonometry
• Logic and proof
• For all levels
• Favorite math puzzles
• Favorite challenging puzzles
• Math in real world
• Problem solving & projects
• For gifted children
• Math history
• Math games and fun websites
• Interactive math tutorials
• Math help & online tutoring
• Assessment, review & test prep
• Online math curricula

→ → 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 sixth grade math program, but go especially well with . 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). 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 (0-2 decimal digits) , need to add zeros to the dividend , rounding the answers to three decimals 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 (up to 9 digits) (up to 12 digits) (up to 9 digits), the parts are scrambled (up to 12 digits), the parts are scrambled (up to 6 decimal digits), the parts are scrambled - rounding to the underlined digit, up to rounding to the nearest million - round to the underlined digit, up to rounding to the nearest trillion Algebra (by combining like terms; no negative numbers) ) 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 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. (Think of how many times the divisor fits into the quotient.) (1 decimal digit) Measuring units - a challenge - use a calculator - use a calculator - use a calculator - use a calculator - use a calculator - using decimals - using decimals - using decimals - using decimals (mm, cm, dm, m, dam, hm, km) (mg, cg, dg, g, dag, hg, kg) (ml, cl, dl, L, dal, hl, kl) Ratio Percent - easy, percents are multiples of ten - easy, percents are multiples of ten - medium, percents are multiples of five - use a calculator - easy - use a calculator Prime factorization, GCF, and LCM Fraction addition and subtraction - 3 fractions, denominators 2-12 - 3 fractions, denominators 2-20 - 4 fractions, denominators 2-12 (two numbers; fractions, mixed numbers, or whole numbers) (three numbers; fractions, mixed numbers, or whole numbers) - mental math, as the answers are whole numbers (easy, varied denominators) Integers (scaling on the grid is from -20 to 20) (print in landscape) (print in landscape) Geometry (scaling on the grid is from -50 to 50) (easy: halves, thirds, and fourths; the whole number part is max 1) (easy: halves, thirds, and fourths; the whole number part is max 2) (challenge: fractions up till sixths) (easy) (using decimals) when surface area or volume is given Proportions - only whole numbers Circle

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Sixth grade math

IXL offers hundreds of sixth grade math skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, state standards, or standardized test.

A. Add and subtract whole numbers

• 1 Add and subtract whole numbers
• 2 Add and subtract whole numbers: word problems

B. Multiply whole numbers

• 1 Multiply whole numbers
• 2 Multiply whole numbers: word problems
• 3 Multiply numbers ending in zeros
• 4 Multiply numbers ending in zeros: word problems
• 5 Estimate products

C. Divide whole numbers

• 1 Divisibility rules
• 2 Division patterns with zeros
• 3 Divide numbers ending in zeros: word problems
• 4 Estimate quotients
• 5 Divide whole numbers - 2-digit divisors
• 6 Divide whole numbers - 3-digit divisors

D. Exponents

• 1 Write multiplication expressions using exponents
• 2 Evaluate powers
• 3 Write powers of ten with exponents
• 4 Find the missing exponent or base
• 5 Powers with decimal bases
• 6 Powers with fractional bases

E. Mixed operations: whole numbers

• 1 Add, subtract, multiply, or divide two whole numbers
• 2 Add, subtract, multiply, or divide two whole numbers: word problems
• 3 Estimate to solve word problems
• 4 Multi-step word problems
• 5 Multi-step word problems: identify reasonable answers
• 6 Evaluate numerical expressions one step at a time
• 7 Evaluate numerical expressions involving whole numbers
• 8 Identify mistakes involving the order of operations

F. Number theory

• 1 Prime or composite
• 2 Identify factors
• 3 Find all the factor pairs of a number
• 4 Prime factorization
• 5 Prime factorization with exponents
• 6 Greatest common factor
• 7 Greatest common factor of three or four numbers
• 8 Least common multiple
• 9 Least common multiple of three or four numbers
• 10 GCF and LCM: word problems
• 11 Sort factors of numerical expressions

G. Fractions and decimals

• 1 Write fractions in lowest terms
• 2 Least common denominator
• 3 Convert between improper fractions and mixed numbers
• 4 Convert fractions to decimals
• 5 Convert decimals to fractions
• 6 Convert between fractions and repeating decimals
• 7 Convert between decimals and fractions
• 8 Convert between decimals and mixed numbers
• 9 Put a mix of decimals and fractions in order
• 10 Put a mix of decimals, fractions, and mixed numbers in order
• 11 Understand fractions as division: word problems

H. Add and subtract decimals

• 1 Add and subtract decimal numbers
• 2 Add and subtract decimals: word problems
• 3 Add and subtract money amounts: word problems
• 4 Complete the decimal addition or subtraction sentence
• 5 Estimate sums and differences of decimals
• 6 Maps with decimal distances

I. Multiply and divide decimals

• 1 Estimate products of decimal numbers
• 2 Multiply two decimals: where does the decimal point go?
• 3 Multiply decimals
• 4 Inequalities with decimal multiplication
• 5 Divide decimals by whole numbers
• 6 Divide decimals by whole numbers: word problems
• 7 Multiply and divide decimals by powers of ten
• 8 Estimate decimal quotients
• 9 Division with decimal divisors
• 10 Inequalities with decimal division
• 11 Multiply and divide decimals: word problems

J. Mixed operations: decimals

• 1 Add, subtract, multiply, or divide two decimals
• 2 Add, subtract, multiply, or divide two decimals: word problems
• 3 Evaluate numerical expressions involving decimals

K. Add and subtract fractions

• 1 Add and subtract fractions with like denominators
• 2 Add and subtract fractions with like denominators: word problems
• 3 Add and subtract fractions with unlike denominators
• 4 Add and subtract fractions with unlike denominators: word problems
• 5 Inequalities with addition and subtraction of like and unlike fractions
• 6 Add and subtract mixed numbers
• 7 Add and subtract mixed numbers: word problems
• 8 Estimate sums and differences of mixed numbers
• 9 Maps with fractional distances

L. Multiply fractions

• 1 Multiply fractions by whole numbers I
• 2 Multiply fractions by whole numbers II
• 3 Multiply fractions by whole numbers: word problems
• 4 Estimate products of fractions and whole numbers
• 5 Multiply two fractions using models
• 6 Multiply two fractions
• 7 Multiply fractions: word problems
• 8 Scaling whole numbers by fractions: justify your answer
• 9 Scaling by fractions and mixed numbers
• 10 Multiply three or more fractions and whole numbers
• 11 Estimate products of mixed numbers
• 12 Multiply mixed numbers and whole numbers
• 13 Multiply mixed numbers
• 14 Multiply mixed numbers: word problems
• 15 Multiply three or more mixed numbers, fractions, and/or whole numbers

M. Divide fractions

• 1 Divide whole numbers by unit fractions using models
• 2 Reciprocals
• 3 Divide whole numbers and unit fractions
• 4 Divide whole numbers and fractions using models
• 5 Divide fractions by whole numbers in recipes
• 6 Divide fractions using models
• 7 Divide fractions
• 8 Estimate quotients when dividing mixed numbers
• 9 Divide fractions and mixed numbers using models
• 10 Divide fractions and mixed numbers
• 11 Divide fractions and mixed numbers using models: word problems
• 12 Divide fractions and mixed numbers: word problems

N. Mixed operations: fractions

• 1 Add, subtract, multiply, or divide two fractions
• 2 Add, subtract, multiply, or divide two fractions: word problems
• 3 Evaluate numerical expressions involving fractions

O. Integers

• 1 Understanding integers
• 2 Integers on number lines
• 3 Graph integers on horizontal and vertical number lines
• 4 Understanding opposite integers
• 5 Understanding absolute value
• 6 Absolute value
• 7 Compare integers
• 8 Put integers in order
• 9 Integer inequalities with absolute values
• 10 Absolute value and integers: word problems

P. Operations with integers

• 1 Add integers using counters
• 2 Add integers using number lines
• 3 Add integers
• 4 Subtract integers using counters
• 5 Subtract integers using number lines
• 6 Subtract integers
• 7 Add and subtract integers: find the sign
• 8 Add and subtract integers: word problems
• 9 Add and subtract integers: input/output tables
• 10 Add three or more integers
• 11 Understand multiplying by a negative integer using a number line
• 12 Multiply integers: find the sign
• 13 Multiply integers
• 14 Divide integers: find the sign
• 15 Divide integers
• 16 Add, subtract, multiply, or divide two integers
• 17 Evaluate numerical expressions involving integers

Q. Rational numbers

• 1 Rational numbers on number lines
• 2 Rational numbers: equal or not equal
• 3 Compare and order rational numbers using number lines
• 4 Compare rational numbers
• 5 Put rational numbers in order
• 6 Compare and order rational numbers: word problems
• 7 Opposites of rational numbers
• 8 Absolute value of rational numbers
• 9 Rational numbers: find the sign
• 10 Classify rational numbers using a diagram
• 11 Classify numbers

R. Coordinate plane

• 1 Describe the coordinate plane
• 2 Objects on a coordinate plane
• 3 Graph points on a coordinate plane
• 4 Quadrants
• 5 Reflect a point over an axis
• 6 Coordinate planes as maps
• 7 Distance between two points
• 8 Follow directions on a coordinate plane
• 9 Area and perimeter of squares and rectangles on the coordinate plane

S. Ratios and rates

• 1 Write a ratio
• 2 Write a ratio using a fraction
• 3 Write a ratio: word problems
• 4 Which model represents the ratio?
• 5 Identify equivalent ratios
• 6 Write an equivalent ratio
• 7 Ratio tables
• 8 Equivalent ratios: word problems
• 9 Unit rates
• 10 Equivalent rates
• 11 Calculate speed, distance, or time: word problems
• 12 Ratios and rates: complete a table and make a graph
• 13 Use tape diagrams to solve ratio word problems
• 14 Compare ratios: word problems
• 15 Compare rates: word problems
• 16 Ratios and rates: word problems
• 17 Do the ratios form a proportion?
• 18 Solve the proportion
• 19 Scale drawings: word problems

T. Proportional relationships

• 1 Identify proportional relationships from graphs
• 2 Identify proportional relationships from tables
• 3 Identify proportional relationships by graphing
• 4 Interpret graphs of proportional relationships

U. Percents

• 1 What percentage is illustrated?
• 2 Understanding percents: strip models
• 3 Convert fractions to percents using grid models
• 4 Convert between percents, fractions, and decimals
• 5 Convert between percents, fractions, and decimals: word problems
• 6 Compare percents to each other and to fractions
• 7 Compare percents and fractions: word problems

V. Percents of numbers

• 1 Estimate percents of numbers
• 2 Solve percent problems using grid models
• 3 Solve percent problems using strip models
• 4 Percents of numbers and money amounts
• 5 Percents of numbers: word problems
• 6 Percents of numbers: fractional and decimal percents
• 7 Find what percent one number is of another
• 8 Find what percent one number is of another: word problems
• 9 Find the total given a part and a percent
• 10 Solve percent problems
• 11 Solve percent word problems

W. Units of measurement

• 1 Estimate customary measurements
• 2 Estimate metric measurements
• 3 Convert and compare customary units
• 4 Convert, compare, add, and subtract mixed customary units
• 5 Multiply and divide mixed customary units
• 6 Customary unit conversions involving fractions and mixed numbers
• 7 Convert and compare metric units
• 8 Convert customary and metric units using proportions
• 9 Convert between customary and metric systems
• 10 Compare temperatures above and below zero
• 11 Convert between Celsius and Fahrenheit

X. Consumer math

• 1 Which is the better coupon?
• 2 Unit prices
• 3 Unit prices with fractions and decimals
• 4 Unit prices with customary unit conversions
• 5 Sale prices
• 6 Sale prices: find the original price
• 7 Percents - calculate tax, tip, mark-up, and more
• 8 Simple interest

Y. Expressions

• 1 Write variable expressions: one operation
• 2 Write variable expressions: two operations
• 3 Write variable expressions: word problems
• 4 Evaluate variable expressions with whole numbers
• 5 Evaluate multi-variable expressions
• 6 Evaluate variable expressions with decimals, fractions, and mixed numbers
• 7 Evaluate variable expressions: word problems
• 8 Identify terms and coefficients
• 9 Sort factors of variable expressions

Z. Equivalent expressions

• 1 Identify equivalent expressions using strip models
• 2 Properties of addition
• 3 Properties of multiplication
• 4 Multiply using the distributive property: area models
• 5 Multiply using the distributive property
• 6 Factor numerical expressions using the distributive property
• 7 Factor variable expressions: area models
• 8 Factor variable expressions using the distributive property
• 9 Solve for a variable using properties of multiplication
• 10 Write equivalent expressions using properties
• 11 Add and subtract like terms
• 12 Identify equivalent expressions I
• 13 Identify equivalent expressions II

AA. One-variable equations

• 1 Does x satisfy an equation?
• 2 Which x satisfies an equation?
• 3 Write an equation from words
• 4 Identify expressions and equations
• 5 Model and solve equations using algebra tiles
• 6 Model and solve equations using diagrams
• 7 Write and solve equations that represent diagrams
• 8 Solve one-step addition and subtraction equations with whole numbers
• 9 Solve one-step multiplication and division equations with whole numbers
• 10 Solve one-step equations with whole numbers
• 11 Solve one-step addition and subtraction equations with decimals and fractions
• 12 Solve one-step multiplication and division equations with decimals and fractions
• 13 Solve one-step addition and subtraction equations: word problems
• 14 Solve one-step multiplication and division equations: word problems
• 15 Write a one-step equation: word problems
• 16 Solve one-step equations: word problems
• 17 Which word problem matches the one-step equation?
• 18 Solve one-step equations involving integers

BB. One-variable inequalities

• 1 Solutions to inequalities
• 2 Graph inequalities on number lines
• 3 Write inequalities from number lines
• 4 Write and graph inequalities: word problems
• 5 Solve one-step inequalities
• 6 Graph solutions to one-step inequalities
• 7 One-step inequalities: word problems

CC. Two-variable equations

• 1 Does (x, y) satisfy an equation?
• 2 Identify independent and dependent variables in tables and graphs
• 3 Write an equation from a graph using a table
• 4 Identify independent and dependent variables: word problems
• 5 Find a value using two-variable equations
• 6 Find a value using two-variable equations: word problems
• 7 Solve word problems by finding two-variable equations
• 8 Complete a table for a two-variable relationship
• 9 Write a two-variable equation from a table
• 10 Write a two-variable equation
• 11 Identify the graph of an equation
• 12 Complete a table and graph a two-variable equation
• 13 Graph a two-variable equation
• 14 Interpret a graph: word problems

DD. Lines and angles

• 1 Lines, line segments, and rays
• 2 Measure and classify angles
• 3 Estimate angle measurements
• 4 Name angles
• 5 Complementary and supplementary angles
• 6 Identify complementary, supplementary, vertical, adjacent, and congruent angles
• 7 Find measures of complementary, supplementary, vertical, and adjacent angles

EE. Two-dimensional figures

• 1 Identify and classify polygons
• 2 Classify triangles
• 3 Triangle inequality
• 4 Identify trapezoids
• 5 Classify quadrilaterals
• 6 Graph triangles and quadrilaterals
• 7 Find missing angles in triangles
• 8 Find missing angles in special triangles
• 9 Find missing angles in quadrilaterals
• 10 Sums of angles in polygons
• 11 Line symmetry

FF. Three-dimensional figures

• 1 Identify polyhedra
• 2 Which figure is being described?
• 3 Nets of three-dimensional figures
• 4 Front, side, and top view

GG. Perimeter and area

• 1 Perimeter
• 2 Area of rectangles and squares
• 3 Understanding area of a parallelogram
• 4 Area of parallelograms
• 5 Understanding area of a triangle
• 6 Area of triangles
• 7 Understanding area of a trapezoid
• 8 Area of trapezoids
• 9 Area of rhombuses
• 10 Area of quadrilaterals
• 11 Area of compound figures
• 12 Area of compound figures with triangles
• 13 Area between two rectangles
• 14 Area between two triangles
• 15 Rectangles: relationship between perimeter and area
• 16 Compare area and perimeter of two figures
• 17 Area of quadrilaterals and triangles: word problems

HH. Surface area and volume

• 1 Volume of cubes and rectangular prisms
• 2 Volume of cubes and rectangular prisms with fractional side lengths
• 3 Volume of cubes and rectangular prisms: word problems
• 4 Surface area of cubes and rectangular prisms
• 5 Volume of triangular prisms
• 6 Surface area of triangular prisms
• 7 Surface area of pyramids
• 8 Relate volume and surface area

II. Data and graphs

• 1 Create line plots
• 2 Interpret line plots
• 3 Create and interpret line plots with fractions
• 4 Create frequency charts
• 5 Interpret categorical data
• 6 Create relative frequency tables
• 7 Create bar graphs
• 8 Create percent bar graphs
• 9 Interpret bar graphs
• 10 Create double bar graphs
• 11 Interpret double bar graphs
• 12 Create histograms
• 13 Interpret histograms
• 14 Interpret circle graphs
• 15 Create line graphs
• 16 Interpret line graphs
• 17 Create double line graphs
• 18 Interpret double line graphs
• 19 Create stem-and-leaf plots
• 20 Interpret stem-and-leaf plots
• 21 Box plots

JJ. Statistics

• 1 Identify statistical questions
• 2 Calculate mean, median, mode, and range
• 3 Interpret charts and graphs to find mean, median, mode, and range
• 4 Mean, median, mode, and range: find the missing number
• 5 Changes in mean, median, mode, and range
• 6 Calculate mean absolute deviation
• 7 Calculate quartiles and interquartile range
• 8 Identify an outlier
• 9 Identify an outlier and describe the effect of removing it
• 10 Interpret measures of center and variability
• 11 Describe distributions in line plots
• 12 Choose appropriate measures of center and variation
• 13 Identify representative, random, and biased samples

KK. Probability

• 1 Counting principle
• 2 Probability of one event
• 3 Make predictions
• 4 Probability of simple events and opposite events

LL. Financial literacy

• 1 Compare checking accounts
• 2 Check registers
• 3 Debit cards and credit cards
• 4 Credit reports
• 5 Paying for college
• 6 Occupations, education, and income

Sixth grade lessons

These lessons help you brush up on important math topics and prepare you to dive into skill practice!

Number sense

• Prime factorization
• Greatest common factor
• Least common multiple
• Absolute value
• Additive inverses
• Comparing rational numbers
• Estimating quotients
• Partial quotients
• Area model division
• Dividing by 1-digit numbers
• Dividing by 2-digit numbers
• Long division

Exponents and powers of 10

• Powers of 10

Properties and mixed operations

• The distributive property
• Order of operations
• Least common denominator
• Simplest form
• Dividing fractions and mixed numbers
• Dividing fractions by whole numbers
• Dividing whole numbers by fractions
• Reciprocals
• Adding decimals
• Subtracting decimals
• Multiplying decimals by powers of 10
• Multiplying decimals by whole numbers
• Multiplying decimals
• Dividing decimals by powers of 10
• Dividing decimals by whole numbers
• Dividing decimals

Percents, ratios, and rates

• Converting between fractions, decimals, and percents
• Proportions
• Expressions and equations
• Writing algebraic expressions
• Evaluating expressions
• Equivalent expressions
• Simplifying expressions
• Expanding expressions
• Factoring expressions
• Solving equations
• Independent and dependent variables
• Inequalities on a number line
• Coordinate plane
• Area of triangles
• Area of parallelograms
• Area of rhombuses
• Area of trapezoids
• Area of compound shapes
• What is surface area?
• Surface area formulas
• Volume formulas
• Volume of rectangular prisms
• Volume of prisms

Measurement

• Converting metric units
• Converting customary units

Data and graphs

• Mean, median, mode, and range
• Mean absolute deviation
• Interquartile range
• Box and whisker plots
• Frequency tables
• Statistical questions

Core Math Worksheets

Addition worksheets, subtraction worksheets, multiplication worksheets, division worksheets, fact family worksheets, long division worksheets, negative numbers, exponents worksheets, order of operations worksheets, fraction worksheets, fractions worksheets, graphic fractions, equivalent fractions, reducing fractions, comparing fractions, adding fractions, subtracting fractions, multiplying fractions, dividing fractions, fractions as decimals, fraction decimal percent, word problems, pre-algebra word problems, money word problems, combining like terms, properties of multiplication, exponent rules, linear equations, one step equations, two step equations, factoring polynomials, quadratic equations, other worksheets, place value, percentages, rounding numbers, ordering numbers, standard, expanded, word form, mean median mode range, ratio worksheets, probability worksheets, roman numerals, factorization, gcd, lcm, prime and composite numbers, pre-algebra, geometry worksheets, blank clocks, telling analog time, analog elapsed time, greater than and less than, arithmetic sequences, geometric sequences, venn diagram, graph worksheets, measurement & conversions, inches measurement, metric measurement, metric si unit conversions, customary unit conversions, customary and metric, patterns and puzzles, number patterns, patterns with negatives, missing operations, magic square, number grid puzzles, word search puzzles, color by number, addition color by number, subtraction color by number, multiplication color by number, division color by number, color by number, holiday & seasonal, valentine's day, st. patrick's day, thanksgiving, early learning, base ten blocks, printable flash cards, number matching, number tracing, missing numbers, picture math addition, picture math subtraction, picture math multiplication, picture math division, multiplication chart, multiplication table, prime numbers chart, hundreds chart, place value chart, roman numerals chart, handwriting paper, graph paper, coordinate plane, spaceship math check-off, square root chart, fraction chart, probability chart, measurement chart, number line, comic strip template, calculators, age calculator, factoring calculator, fraction calculator, slope calculator, degrees to radians, percentage calculator, prime factorization calculator, roman numeral converter, long division calculator, multiplication calculator, math worksheets by grade, preschool math worksheets, kindergarten math worksheets, 1st grade math worksheets, 2nd grade math worksheets, 3rd grade math worksheets, 4th grade math worksheets, 5th grade math worksheets, 6th grade math worksheets, worksheet news.

This is the main page for the addition worksheets. Follow the links for Spaceship Math Addition worksheets, multiple digit addition worksheets, no-carrying addition worksheets and other addition topics. These addition worksheets are free for personal or classroom use.

This is the main page for the subtraction worksheets. Follow the links for Spaceship Math Subtraction worksheets, timed subtraction tests, multiple digit subtraction worksheets, simple borrowing and regrouping worksheets, and math worksheets with mixed addition and subtraction problems

This is the main page for the multiplication worksheets. Put your fingers away, because this is the first math operation where memorization of the facts is a requirement. You'll find multiplication worksheets for Dad's Eight Simple Rules for Mastering the Times Table, RocketMath Multiplication, multiple digit multiplication, squares and other multiplication worksheet topics. All of these multiplication worksheets include answer keys and are instantly printable and ready for classroom or home school use.

This is the main page for the division worksheets. This includes Spaceship Math Division worksheets, multiple digit division worksheets, square root worksheets, cube roots, mixed multiplication and division worksheets. These division worksheets are free for personal or classroom use.

Trying to memorize the multiplication facts? This page contains printable multiplication charts that are perfect as a reference. There are different variations of each multiplication chart with facts from 1-9 (products 1-81), 1-10 (products 1-100), 1-12 (products 1-144) and 1-15 (products 1-255). Each of these multiplication charts is a high resolution SVG, so the multiplication facts print beautifully!

Are you looking for a printable multiplication table that has more than just the facts? One with some extra math facts about the multipliers? Or a unique design? In color? The multiplication tables on this page are all high resolution SVG files that print beautifully on your printer and are great resources for learning the times tables in the grade school classroom or at home!

Fact family worksheets focus on sets of related math facts, not specific operations. Teach your kids addition and subtraction at the same time, and reinforce the relationships in a fact family! Two fact families are introduced at each level and allow for progressive practice, or just use the worksheets at the end for comprehensive fact family review.

Introductory long division worksheets, long division worksheets with and without remainders, long division with decimals. All of these long division worksheets includes detailed, expanded answers.

Practice worksheets for reducing fractions. Different fraction worksheets in this section deal with reducing simple fractions, improper fractions and mixed fractions.

Practice worksheets for comparing fractions. The fraction problems on these sheets require kids to compare like and unlike denominators, improper fractions and mixed fractions.

Fraction Addition

Worksheets for adding fractions with common denominators, with unlike denominators, as simple fractions and as mixed fractions. Complete work with steps is shown for each problem on the answer keys.

Fraction Subtraction

Worksheets for subtracting fractions with common denominators, with unlike denominators, as simple fractions and as mixed fractions. Full answer keys that show work!

Fraction Multiplication

These math worksheets provide practice for multiplying fractions. Includes problems with and without wholes, and with and without cross-cancelling. Every PDF fraction worksheet here has a detailed answer key that shows the work required to solve the problem, not just final answer!

Fraction Division

Dividing fractions worksheets with two fraction division. Includes simple fractions, mixed fractions and improper fractions, as well as problems that make use of a cross multiply step to solve.

Worksheets for transforming fractions into decimals, including by the use of long division.

Pre-algebra addition, subtraction, multiplication and division word problems dealing with relationships between numbers in simple equations... A great first step for easing into algebra!

Worksheets that teach basic investing math concepts, including market capitalization, price-to-earnings ratios, dividends.

These negative number worksheets combine negative numbers with other integers (both positive and negative) using the basic math operations, multiplying multi-digit negative numbers, and long division with negative numbers.

Worksheets to practice using and calculating percentages of other numbers, including converting between fractions and percentages.

These number patterns worksheets help students develop the needed skills for determining patterns and relationships between numbers.

Number patterns that cross zero and may start or end with negative values.

Mean, Median, Range

Worksheets for determining the mean, median, mode and range for sets of numbers. Problems include sets of all positive integers, all negative integers and mixed sign sets, plus calculator practice.

Sudoku puzzles for kids and adults, including easy and hard difficulties, evil sudoku, Samurai Sudoku and more!

Magic square puzzles are a great introduction to logic and problem solving... Try these 3x3, 4x4 and 5x5 to level up your math skills!

The printable prime factorization worksheets on this page require students to factor progressively larger integers into their prime factors. This is the first step for determining the greatest common divisors of two numbers, or determining the least common multiple of two numbers, but additionally prime factorization introduces the concepts of prime numbers and composite numbers.

Pre-algebra skills including solving for the missing values.

Introduces squares, cubes and exponents mixed with other basic operations. Includes practice that will build site-memory of common exponential terms

These order of operations worksheets mix basic arithmetic, including parentheses and exponents. If you are looking for order of operations worksheets that test knowledge of the PEMDAS rules, these math worksheets are a good start. You can also find order of operations worksheets with negative numbers and order of operations worksheets with comparisons at these other worksheet pages.

Free printable graph paper, grid paper and dot paper for math problems, crafts, zentangling, landscape design, architecture or just simple doodling. All graph paper styles include inch and centimeter variations. All of these PDF files are designed to print on 8.5 x 11 inch paper.

The blank coordinate planes on this page include variations with labels on either the axis or the edge of the grid, as well as versions with quadrant labels. You can find full 4 quadrant coordinate planes, as well as just blank 1 quadrant coordinate planes in layouts setup for solving multiple homework problems on a single page.

These measurement worksheets for inches (customary units) will build skills for performing ruler measurements of either a single point or the length measurement of an object. There are different measuring worksheets with problems appropriate for kindergarten, first grade, second grade or third grade math students.

Metric measurement worksheets for identifying measured positions and measuring objects in centimeters and millimeters on a ruler. These worksheets are great practice for first grade, second grade, third grade and fourth grade students and can also provide practical subtraction practice when measuring the length of objects on a ruler.

These worksheets use unity fractions to convert unit values from one measurement to another. This approach is more common in chemistry, physics or other science classes and requires students to focus on cancelling units to reach a solution with both the right value and the right units.

Customary unit conversion practice for distance (inches to feet), volume (ounces to gallons) and mass (ounces to pounds). These worksheets also employ unity fractions to convert unit values from one measurement to another. This approach is more common in chemistry, physics or other science classes and requires students to focus on cancelling units to reach a solution with both the right value and the right units.

These worksheets use unity fractions to convert values between SI (Metric) units and customary units. Topics in this section include conversion practice for inches to meters, liters to gallons and grams to pounds.

Whether you're looking for a list of perfect square roots, or a complete table of square roots from 1 to 100, a square root chart from this page will have your radicals covered! There are both color and black and white versions of the charts in printable PDF form.

This unique rendering of equivalent fractions combines the value of the fractions positionally on the number line to create an elegant symmetry. It not only highlights fractions in their lowest, most reduced form but provides a convenient decimal equivalent for the most commonly used fractions. This really is one of the nicest reference charts I've created in the 10 years I've been building math resources!

Use these math word search puzzles to introduce vocabulary and terms to grade school students as they are introduced to new math concepts! These word search puzzles include sets for various Common Core aligned grade levels, along with specific topics for geometry, algebra and more!

Probability anchor chart for word problem reference! This illustrated chart describes scenarios with coins, dice and playing cards. It includes odds for most likely and least likely outcomes.

This measurement chart is a good reference aid for word problems involving converting volume, length or temperature units from one system to the other. Values are shown on one scale in both customary and metric systems. Great for kitchen measurement and cooking too!

Linear equations worksheets including calculating slope from two points, calculating y-intercepts, graphing equations in slope intercept form, graphing equations in point slope form, graphing systems of equations, graphing linear equations, graphing linear inequalities and more!

A number line can be a powerful tool for learning about negative numbers, ratios or just introductory addition and subtraction operations. The number line PDFs on this page include various ranges (10, 12, 15, 20, 15 and 100) in both starting from zero as well as negative ranges. A complete set of fraction number lines marked with common denominators is included in -5 to 5 ranges. There are also application specific number lines for elapsed time, temperature and money, as well as blank number lines for regular ranges and fractions.

Ratio Worksheets and Word Problems

Ratio worksheets including relating visual quantities, ratio word problems, rate and ratio problems and finding equivalent ratios. These PDF worksheets are designed for 3rd through 6th grade students and include full answer keys. Ratio Simple Ratio V1

Venn Diagram Templates and Worksheets

Check out this page for Venn diagram worksheets, blank Venn diagram templates and practice for Venn diagram concepts. Venn diagrams are useful for learning set concepts such as intersection, exclusion and complements. Venn Diagram Template Colored 3 Sets With Lines

Sixth Grade! Almost ready for Middle School! But that doesn't mean it's the end of math practice, no indeed. These sixth grade math worksheets cover most of the core math topics previous grades, including conversion worksheets, measurement worksheets, mean, median and range worksheets, number patterns, exponents and a variety of topics expressed as word problems. Students in 6th grade should have an outstanding mastery of their math facts and be able to complete timed addition, subtraction, multiplication and division tests rapidly and with near perfect accuracy. Students in 6th grade should also be comfortable with fractions, and the topics convered on the fraction worksheets on this page should be familiar. With confidence in these math topics, students in 6th grade should be ready for pre-algebra as they move on to the next part of their discovery of mathematics.

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6th Grade Math Worksheets

In this section, you can view all of our sixth-grade math worksheets and resources. these include common-core aligned, themed and age-specific worksheets. perfect to use in the classroom or homeschooling environment..

• Kindergarten

We add dozens of new worksheets and materials for math teachers and homeschool parents every month. Below are the latest grade 6 worksheets added to the site.

Applying Percentage, Base, and Rate 6th Grade Math Worksheets

Understanding Positive and Negative Integers 6th Grade Math Worksheets

Finding Common Factors Between Two Whole Numbers Within 100 6th Grade Math Worksheets

Understanding Ratio between Two Quantities 6th Grade Math Worksheets

Multiplying and Dividing Fractions 6th Grade Math Worksheets

Examining Shapes of Distribution 6th Grade Math Worksheets

Solving Measures of Variability 6th Grade Math Worksheets

Solving Measures of Central Tendency 6th Grade Math Worksheets

Understanding Statistical Questions 6th Grade Math Worksheets

Constructing Geometry Nets 6th Grade Math Worksheets

Polygons in the Coordinate Plane 6th Grade Math Worksheets

Finding the Surface Area and Volume of Solid Figures 6th Grade Math Worksheets

Finding the Area of Triangle and Quadrilaterals 6th Grade Math Worksheets

Understanding Dependent and Independent Variables 6th Grade Math Worksheets

Understanding and Solving One-Variable Inequalities 6th Grade Math Worksheets

Understanding and Solving One-Variable Equations 6th Grade Math Worksheets

The Distributive Property and Algebraic Expressions 6th Grade Math Worksheets

Writing and Evaluating Algebraic Expressions 6th Grade Math Worksheets

Understanding Exponents 6th Grade Math Worksheets

6th Grade End Of Year Test Booklet

6th grade common core aligned learning objectives & standards:.

Learning objectives:

In Grade 6, instructional time should focus on four critical areas: 

(1) relating ratio and rate to whole number multiplication and division and applying the basic concepts of ratio and rate to solve problems; 

(2) showing mastery of division of fractions and extending the set of number to the system of rational numbers , which includes negative numbers; 

(3) writing, interpreting, and using expressions and equations; and (4) developing understanding of statistical thinking. 

a. Conceptual skills

• Learners provide acceptable reasons about multiplication and division in solving ratio and rate problems about quantities. They make use of their understanding of multiplication and division with ratios and rates by assuming equivalent ratios and rates as deriving from, and extending, pairs of rows (or columns) in the multiplication table, and by analyzing simple drawings that indicate the relative size of quantities. 
• Learners connect the meaning of fractions, the meanings of multiplication and division, and the relationship between multiplication and division to explain the logical solution for dividing fractions . In that way, they use these operations to solve problems. 
• 6th graders broaden their schema of numbers and the ordering of numbers to the full system of rational numbers, which includes negative rational numbers, and in particular, negative integers. 
• They explain the concepts behind the order and absolute value of rational numbers and about the location of points in all four quadrants of the coordinate plane. 
• They will have initial understanding of statistical concepts such as measures of central tendency and measures of variability. They recognize that these concepts can also be useful for summarizing data because two very different sets of data can have the same mean and median yet be distinguished by their variability. 
• They also learn to describe and summarize numerical data sets, identifying clusters, peaks, gaps, and symmetry, considering the context in which the data were collected. 

b. Procedural skills

• Learners go beyond the scope of problems about ratios for which they can use multiplication and division related to ratios and fractions to solve problems. 
• They apply the concepts of variables in mathematical expressions. In that way, they will be able to write expressions and equations that correspond to given situations, evaluate expressions, and use expressions and formulas to solve problems. Learners acknowledge the fact that expressions in different forms can be equivalent, and they apply the properties of operations to rewrite expressions in equivalent forms. 
• Learners will practice the learned concepts about equations and inequalities by solving for the solution set that will make the equations or inequalities true. They make use of the properties of operations and the idea of maintaining the equality of both sides of an equation to solve simple one-step equations . 
• Students construct and analyze tables, such as tables of quantities that are in equivalent ratios, and they use equations (such as 2x = y) to describe relationships between quantities. 
• They solve for the areas of right triangles, other triangles, and special quadrilaterals by decomposing these shapes, rearranging or removing pieces, and relating the shapes to rectangles. 
• Learners will be able to discuss, develop, and justify formulas for areas of triangles and parallelograms. They extend their understanding of surface area and volume of solid figures such as prisms, pyramids, cylinders, etc.

c. Life skills

• As the coordinate plane is fully discussed in 6th grade, learners would be able to understand how important finding accurate location is. Given its wide applications in using maps, GPS, longitude, latitude, etc, learners appreciate more the meaning of their lessons in the real world.
• Statistics help the 6th graders to make sound decisions, conclusion, prediction, and inferences based on numerical data or trends.
• Students in Grade 6 also design community projects by integrating the relationships among shapes to determine area, surface area, and volume. 
• They prepare for work on scale drawings and constructions in Grade 7 by drawing polygons in the coordinate plane.

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• Kindergarten
• Number charts
• Skip Counting
• Place Value
• Number Lines
• Subtraction
• Multiplication
• Word Problems
• Comparing Numbers
• Ordering Numbers
• Odd and Even
• Prime and Composite
• Roman Numerals
• Ordinal Numbers
• In and Out Boxes
• Number System Conversions
• More Number Sense Worksheets
• Size Comparison
• Measuring Length
• Metric Unit Conversion
• Customary Unit Conversion
• Temperature
• More Measurement Worksheets
• Writing Checks
• Profit and Loss
• Simple Interest
• Compound Interest
• Tally Marks
• Mean, Median, Mode, Range
• Mean Absolute Deviation
• Stem-and-leaf Plot
• Box-and-whisker Plot
• Permutation and Combination
• Probability
• Venn Diagram
• More Statistics Worksheets
• Shapes - 2D
• Shapes - 3D
• Lines, Rays and Line Segments
• Points, Lines and Planes
• Transformation
• Quadrilateral
• Ordered Pairs
• Midpoint Formula
• Distance Formula
• Parallel, Perpendicular and Intersecting Lines
• Scale Factor
• Surface Area
• Pythagorean Theorem
• More Geometry Worksheets
• Converting between Fractions and Decimals
• Significant Figures
• Convert between Fractions, Decimals, and Percents
• Proportions
• Direct and Inverse Variation
• Order of Operations
• Squaring Numbers
• Square Roots
• Scientific Notations
• Speed, Distance, and Time
• Absolute Value
• More Pre-Algebra Worksheets
• Translating Algebraic Phrases
• Evaluating Algebraic Expressions
• Simplifying Algebraic Expressions
• Algebraic Identities
• Quadratic Equations
• Systems of Equations
• Polynomials
• Inequalities
• Sequence and Series
• Complex Numbers
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6th Grade Math Worksheets

Count on our printable 6th grade math worksheets with answer keys for a thorough practice. With strands drawn from vital math topics like ratio, multiplication, division, fractions, common factors and multiples, rational numbers, algebraic expressions, integers, one-step equations, ordered pairs in the four quadrants, and geometry skills like determining area, surface area, and volume, organizing numerical data as dot plots, histograms and box plots, finding mean, median, and quartiles of datasets, these pdfs become your often go-to place. Grab your ticket to a great start with our free math worksheets for grade 6 students!

Select Grade 6 Math Worksheets by Topic

Explore 4,600+ Sixth Grade Math Worksheets

Division | 4-Digit by 2-Digit and 3-Digit

Divide a 4-digit number by a 2-digit or 3-digit number, starting from the largest place value and dividing your way down to the last digit to find the quotient and remainder (if any).

• Download the set

Drawing Shapes to Represent the Ratio

Jazz up your ratio skills with our 6th grade math worksheet pdfs. Direct students to visually represent the terms of each ratio by sketching the specified number of shapes.

Multiplying Two Fractions by Cross Cancelling

Breaking down the numerator and denominator into prime factors, cross-cancelling the common factors, and multiplying the uncancelled parts of the fraction are all grade 6 learners are expected to do!

Expressing Decimals in Words | Up to Millionths

Let your understanding of decimal place value soar to new heights as you dive into these printable 6th grade math worksheets and express decimals up to millionths in words and vice versa.

Finding the GCF of Two Numbers

Follow the step-by-step process of finding the GCF by listing out all the factors of each pair of 2-digit numbers, then compare the factors, figure out the common ones and the greatest among them is your answer.

Representation of Integers

Laying a strong foundation in integers becomes easy with a touch of real-world offered in these grade 6 math pdf worksheets, where each scenario should be represented with a positive or negative integer.

One-Step Equation: Addition and Subtraction | Integers

Rearrange the equation, making the variable the subject, and take the integer constant to the other side and change its sign, add or subtract to find the value of the unknown variable.

Identifying Ordered Pairs in All Quadrants

Get acquainted with the coordinate plane, the four quadrants, and the ordered pairs. Identify the point representing each ordered pair in Part A; and locate and write the x-y coordinates of each point in part B.

Determining the Area of a Square

Equip grade 6 children with these printable math worksheets, if practice in determining the area of a square is on your mind. Get students to square the fractional side lengths and compute the area.

Identifying Nets of 3D Shapes

Get 6th grade learners to imagine folding the 2D nets presented in this printable math worksheet along the edges and visualize the 3D shapes that can be constructed from them.

• Grab the Worksheet

Surface Area using Nets | Counting Squares

Whether it is refining or testing skills in counting the unit squares to determine the surface area of rectangular prisms, cubes or triangular prisms from their nets, these pdfs serve the purpose.

Five-Number Summary

Descriptively analyze each dataset, by rearranging the values in ascending order and figuring out the maximum and minimum values, and the lower or 1st, median or 2nd, and upper or 3rd quartiles.

Division of 5-Digit Numbers by 1-Digit and 2-Digit Divisors

Push boundaries and brush up your division skills with adequate practice provided by these exercises in dividing 5-digit numbers with single and double-digit divisors.

Ratio Word Problems | Part-to-Part

Put your analytical skills to test with our 6th grade math worksheet pdfs. Study the data given in the pictogram and answer the set of questions detecting the part-to-part ratio in each scenario.

Multiplying Mixed Numbers and Fractions

Effortlessly multiply mixed numbers and fractions by converting the mixed numbers to improper fractions, cross cancelling the common factors and then multiplying what's left over.

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Try some free sample 6th grade math worksheets

• Separate answers are included to make marking easy and quick.
• Over 300 pages of the highest quality 6th Grade math worksheets. Each worksheet is differentiated, including a progressive level of difficulty as the worksheet continues.
• Single user license for parents or teachers. Separate school licenses are available here
• Single digital pdf download, with worksheets organized into high level chapters of Algebra, Statistics, Number and Geometry, and further by subtopics. See below for the extensive range of sheets included.

List of Topics

Our 6th Grade printable math worksheets cover the full range of topics. See below the list of topics covered.  All our math worksheets can be accessed here.

PEDMAS Expanding Brackets Factorising Indices Inequalities Linear Functions Real Life Graphs Rearranging Equations Sequences Simplification Solving Equations Substitution

• Calculator Methods Decimals Fractions Fractions Decimals Percentages Mental Methods Negative Numbers Percentages Place Value Powers Proportion Ratio Rounding Time Types of Number Written Methods
• 2D Shapes 3D Shapes Area and Perimeter Bearings Scale and Loci Circles Compound Measures Constructions Coordinates Lines and Angles Polygons Pythagoras Similarity and Congruence Transformations Volume and Surface Area
• Histograms and Frequency Polygons Mean Median Mode Pie Charts and Bar Charts Probability Scatter Graphs Stem-and-Leaf Diagrams Two-Way Tables and Pictograms

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6th Grade Math Worksheets Hub Page

Welcome to our 6th Grade Math Worksheets hub page.

This is a new hub page and currently under development - so there will be more 6th grade resources on the way soon!

Here you will find a wide range of free printable worksheets that follow the standards for 6th Grade .

Come and take a look at our adding subtracting fractions page, or our 6th grade math games page. Looking for some help with algebra? We have some basic algebra worksheets too.

For full functionality of this site it is necessary to enable JavaScript.

Here are the instructions how to enable JavaScript in your web browser .

• This page contains links to other Math webpages where you will find a range of activities and resources.
• If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

6th Grade Math Learning

Here are the standards for the end of the year for 6th Grade.

• Find the greatest common factor of whole numbers up to 100.
• Find the least common multiple of two whole numbers up to 12.
• Recognise opposite signs of numbers (positive and negative) as being on opposite sides of 0 on a number line.
• Recognise that the opposite of the opposite of a number is the number itself e.g. -(-7) = 7
• Understand a rational number as a point on a number line.
• Find and position rational numbers on a range of number lines.
• Understand the absolute value of a number.
• Write, interpret and explain statements about rational numbers, such as -3°C > -7°C
• Write and evaluate expressions involving whole number exponents.
• Fluently divide multi-digit numbers.
• Fluently add, subtract, multiply and divide multi-digit decimals using the standard algorithm.
• Find the percentage of a quantity as a rate per 100.
• Divide fractions by fractions using visual models.
• Solve problems involving dividing fractions by fractions.
• Understand the concept of ratio and use ratio language.
• Understand the concept of a unit rate a/b associated with a ratio a:b.
• Use ratio and rate reasoning to solve a range of problems.
• Write, read, and evaluate expressions in which letters stand for numbers
• Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient);
• Evaluate expressions at specific values of the variables of different formulas.
• Apply the properties of operations to generate equivalent expressions, e.g. 10 + 5y = 5(2 + y).
• Reason about and solve one-variable equations and inequalities.
• Write an inequality of the for x<c or x>c to represent a constraint or condition.
• Represent and analyze quantitative relationships between dependent and independent variables.
• Develop understanding of statistical variability
• Summarize and describe distributions
• Display numerical data in plots on a number line, including dot plots, histograms, and box plots
• Find the median and the mean of a set of data.
• Find the interquartile range and/or mean absolute deviation and describe patterns in data.
• Find the area of right triangles, other triangles, special quadrilaterals, and polygons.
• Find the volume of a right rectangular prism with fractional edge lengths
• Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms.
• Draw polygons in the coordinate plane given coordinates for the vertices.
• Use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.
• Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane.
• Represent three-dimensional figures using nets made up of rectangles and triangles.
• Use the nets to find the surface area of these figures

6th Grade Math Worksheets

On this page you will find link to our range of math worksheets for 6th grade.

Quicklinks to 6th Grade ...

• 6th Grade Place Value
• 6th Grade Number Sense Zone
• Addition and Subtraction

Word Problems Zone

Fractions Percentages Ratio Zone

• Percentages Zone
• Algebra Zone
• Geometry Worksheets
• Area & Perimeter Worksheets
• Converting Measures Worksheets

Data Analysis Zone

• Fun Zone: games and puzzles

Summer term Math Grab Packs - out now!

Our summer term grab packs are out now.

There is a different grab pack for each grade.

Free to all of our newsletter subscribers!

• Summer term Math Grab Packs

6th Grade Place Value Zone

Ordering numbers, including negative numbers, decimals to 3dp and rational numbers.

The sheets in this section involve negative numbers, decimals to 3 decimal places, and a range of rational numbers.

There are sheets with decimals up to 10, and also sheets with numbers from -10 to 10.

• Ordering Decimals to 3dp
• Ordering Negative Numbers -10 to 10
• Ordering and Comparing Rational Numbers

Rounding Decimals and Significant Figures

• Rounding Decimal Places Sheets to 2dp
• Rounding Decimals Worksheet Challenges
• Rounding Significant Figures Worksheets

6th Grade Number Sense Worksheets

Here you will find a range of 6th Grade Number Worksheets covering skills connected to Numbers and the Number System.

Using these sheets will help your child to:

• understand how to use inequalities including where you have two values
• understand how to use exponents (powers) of a number;
• find the greatest common factors of two numbers up to 100
• find the least common multiple of two numbers up to 12.
• extend their knowledge of prime and composite (non-prime) numbers up to 100;
• know and be able to use the PEMDAS (or PEDMAS) rule.
• understand and use absolute value

Inequalities

• Inequalities on a Number Line
• Writing Inequalities from Word Problems

Factors and Multiples 6th Grade Worksheets

• Greatest Common Factor Worksheets
• Least Common Multiple Worksheets
• Factor Tree Worksheets (easier)
• Prime Factorization Worksheets (harder)

PEMDAS and Order of Operations Worksheets

• PEMDAS Rule Support Page
• PEMDAS Problems Worksheets 5th Grade
• 6th Grade Order of Operations
• Absolute Value Worksheets

Roman Numerals Worksheets

• Roman Numerals worksheets

6th Grade Mental Math Quizzes

Here you will find a range of printable mental math 6th grade quizzes for your child to enjoy.

Each worksheet tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math quiz!

• Mental Math Worksheets 6th Grade

Top of Page

4 Operations Zone

Decimal counting worksheets.

Using these sheets will support you child to:

• count on and back by multiples of 0.1;
• fill in the missing numbers in sequences;
• count on and back into negative numbers.
• find number bonds to 1;
• Counting By Decimals
• Decimal Number Bonds to 1

6th Grade Addition & Subtraction Worksheets

The following 6th grade math worksheets involve using addition and subtraction with a range of different number types.

• add and subtract decimals up to 3dp;
• add a columns of multi-digit numbers, including decimals.
• add and subtract positive and negative integers

The addition worksheet generator below will create a range of addition problems in columns, including decimals.

• Addition With Regrouping Worksheet Generator
• Subtraction With Regrouping Worksheet Generator
• Adding Positive and Negative Numbers (randomly generated)
• Subtracting Positive and Negative Numbers (randomly generated)
• Adding and Subtracting Negative Numbers (randomly generated)

6th Grade Multiplication Worksheets

Here you will find a range of Free Printable 5th Grade Multiplication Worksheets.

The following worksheets involve using the 6th Grade Math skills of multiplying multi-digit numbers, including decimals.

• extend their knowlege of multiplication to decimals;
• use their multiplication tables to answer related facts, including decimals;
• multiply a range of decimals by a whole number;
• multiply positive and negative numbers.
• Multiplying Decimals by Whole Numbers
• Negative Number Multiplication (randomly generated)
• Multiply and Divide Negative Numbers (randomly generated)

6th Grade Division Worksheets

Here you will find a range of Free Printable 6th Grade Division Worksheets.

The following worksheets involve using the 6th Grade Math skills of dividing multi-digit numbers, including decimals, and solving division problems.

Using these sheets will help your child learn to:

• divide multi-digit numbers by one and 2-digit numbers;
• divide decimals.
• Divisibility Rules Worksheets
• Decimal Division Facts
• Long Division of Decimal Numbers
• Dividing Negative Numbers (randomly generated)

6th Grade Math Problems

Here you will find our selection of free 6th grade math word problems.

Each sheet is availabel in both standard and metric units (where applicable).

Each sheet comes complete with a separate answer sheet.

All the problems are based around 'real life' such as the planets, heights of mountains, or length of rivers.

Using these sheet will help your child to:

• apply their addition, subtraction, multiplication and division skills;
• apply their knowledge of rounding and place value;
• solve a range of problems including "real life" problems and ratio problems.
• 6th Grade Percent Word Problems
• Fractions Worksheets
• Percentage Worksheets
• Ratio Worksheets

6th Grade Fraction Worksheets

Here you will find a range of free printable 6th Grade Fraction Worksheets.

At 6th Grade level, children are introduced to adding and subtracting fractions with different denominators. They know and can use equivalent fractions, and can multiply and divide fractions by whole numbers, as well as mixed numbers.

• add and subtract fractions and mixed numbers;
• understand how to multiply fractions by a whole number;
• understand how to multiply two fractions together, including mixed fractions;
• understand the relationship between fractions and division;
• know how to divide fractions and mixed fractions;
• convert decimals to fractions.
• Multiplying Fractions Worksheets
• Multiplying Mixed Fractions
• How to Divide Fractions
• Dividing Fractions by Whole numbers
• Divide Whole numbers by Fractions
• How to Divide Mixed Numbers
• Multiplying and Dividing Fractions (Randomly Generated)
• Add Subtract Multiply Divide Fractions (Randomly Generated)
• Free Printable Fraction Riddles (harder)
• Fractions Decimals Percents Worksheets

6th Grade Percentage Worksheets

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

We have a range of percentage sheets from quite a basic level to much harder.

• Percentage of Numbers Worksheets
• Money Percentage Worksheets
• Basic Percentage Word Problems (easier)
• 6th Grade Percent Word Problems (harder)

6th Grade Ratio and Unit Rate Worksheets

These 5th grade ratio worksheets are a great way to introduce this concept.

We have a range of part to part ratio worksheets and slightly harder problem solving worksheets.

• Ratio Part to Part Worksheets
• Ratio and Proportion Worksheets
• The Definition of Unit Rate
• Unit Rate Problems 6th Grade

6th Grade Algebra Worksheets

If you are looking for some 6th grade algebra worksheets to use with your child to help them understand simple equations then try our selection of basic algebra worksheets.

There are a range of 6th grade math worksheets covering the following concepts:

• Generate the algebra - and write your own algebraic expressions;
• Calculate the algebra - work out the value of different expressions;
• Solve the algebra - find the value of the term in the equation.
• Use the distributive property to factorize and expand different expressions
• 6th Grade Distributive Property Worksheets
• Expressions and Equations 6th Grade
• Basic Algebra Worksheets (6th & 7th Grade)
• Input and Output Function Tables with Algebraic Functions

Geometry & Measurement Zone

Quicklinks to ...

6th Grade Geometry Worksheets

Here is our range of 6th grade Geometry worksheets.

• Geometry Nets Information and Worksheets
• Parts of a Circle Worksheets
• Coordinate Plane Worksheets (All 4 Quadrants)

6th Grade Area & Perimeter Worksheets

• Area of Parallelogram Worksheets
• Area of Quadrilaterals
• Area of Right Triangle
• Square Inside a Circle Area Support Page
• Surface Area Worksheet 6th Grade

6th Grade Measurement Worksheets

• Metric Conversion Worksheets (4th to 6th Grade)
• Convert Customary Units of Length Worksheets (randomly generated)
• Convert Customary Units of Capacity Worksheets (randomly generated)

Data & Statistics Worksheets

Find links to our 6th grade Statistics worksheets below.

Using these 6th grade math worksheets will help you to:

• find the mean of up to 5 numbers;
• find a missing data point when the mean is given.
• find the median of a set of data.
• create and interpret line plots.
• create and interpret dot plots and box plots.
• Median Worksheets
• Mean Worksheets
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• 6th Grade Math Games

Here you will find a range of free printable 6th Grade Math games.

All children like to play Math games, and you will find a good range of Grade 6 Math Games here for your child to play and enjoy.

The following games involve different 5th Grade Math activities which you and your child can enjoy together.

• Algebra Math Games
• 6th Grade Math Puzzles

Here you will find a range of printable 6th grade math puzzles for your child to enjoy.

The puzzles will help your child practice and apply their addition, subtraction, multiplication and division facts as well as developing their thinking and reasoning skills in a fun and engaging way.

Using these puzzles will help your child to:

• learn and practice their addition and subtraction facts, including fractions and decimals;
• develop their understanding of negative numbers;
• practice and apply multiplication and division facts;
• develop problem solving skills and reasoning.

6th Grade Math Quiz

Here is our collection of Math Quizzes for 6th grade.

Quizzes are a great way to practise math skills or to asses knowledge.

• 6th Grade Math Quiz page

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6th Grade Math Worksheets: Geometry

Geometry worksheets.

These geometry worksheets give students practice in classifying shapes, finding perimeters, surface areas and volumes of 2-3 and 3-d shapes and other grade 6 geometry topics.

Equilateral, isosceles, scalene
7 types of quadrilateral
(with fractional lengths) (with decimals)

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Browse all of our geometry worksheets , from the basic shapes through areas and perimeters, angles, grids and 3D shapes.

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6 th Grade Math Worksheets

Free, Printable Math Worksheets for at-home Practice

A Parent’s Guide to Sixth Grade Math + Practice Worksheets

Download this informative guide to learn how to best support your sixth grader as they learn and master important sixth grade math concepts.

Free Practice Worksheets

Choose a Grade

Click on a concept below to try a sample question

Measurement & Data

Number representation.

Ratio & Proportion

Probability, number relation, factors & multiples, why 6th grade math worksheets are important.

A stated objective of Common Core State Standards (CCSS) is to standardize academic guidelines nationwide. In other words, what sixth graders learn in math in one state should be the same as what students of the same age are learning in another state. The curricula may vary between these two states, but the general concepts behind them are similar. This approach is intended to replace wildly differing guidelines among different states, thus eliminating (in theory) inconsistent test scores and other metrics that gauge student success.

An increased focus on math would seem to include a wider variety of topics and concepts being taught at every grade level, including sixth grade. However, CCSS actually calls for fewer topics at each grade level. The Common Core approach (which is clearly influenced by “Singapore Math”—an educational initiative that promotes mastery instead of memorization) goes against many state standards. Many states mandate a “mile-wide, inch-deep” curriculum in which children are taught so much in a relatively short time span, that they aren’t effectively becoming proficient in the concepts they truly need to understand to succeed at the next level. Hence, CCSS works to establish an incredibly thorough foundation not only for the math concepts in future grades, but also toward practical application for a lifetime.

For sixth grade, Common Core’s focus is on addition and subtraction— the basic math facts they will use throughout their education and beyond—as well as learning how to measure without necessarily using a ruler, and how to understand shapes. Ultimately, this focus will enable children to develop rigor in real life situations by developing a base of conceptual understanding and procedural fluency.

How Our Sixth Grade Math Worksheets Reflect Common Core Standards

Our sixth grade worksheets focus on the four critical areas outlined by CCSS:

• Connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems
• Completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers
• Writing, interpreting, and using expressions and equations
• Developing understanding of statistical thinking

6th Grade Math Worksheets: Critical Areas of Focus

Fasten your seatbelts: Sixth graders are in for a wild ride this year in math. Many new concepts, such as negative numbers and variables, are introduced, but students’ previous learning will set them up nicely for learning these topics. Furthermore, much of what debuts in sixth grade provides some foundation for the algebra in the near future. Here are the four critical areas that Common Core brings to sixth grade math:

Students not only apply their proficiency of multiplication and division that they learned in earlier grades, they also use fractions extensively to solve problems about ratios and rates (e.g, if a recipe uses 4 cups of flour to make 20 cookies, how many cups are needed to make 5 cookies?).

Division of Fractions, Negative Numbers

Negative numbers are introduced, with an emphasis on negative rational numbers, negative integers, and absolute value. In the last of the four basic operations they will apply to fractional equations, students learn to divide fractions by fractions. The graph system, on which students previously were working with only one quadrant, is expanded to include all four quadrants on the coordinate plane.

Expressions and Equations

In what may be the strongest preview of future algebra, students will learn to solve one-step equations using variables (e.g, x+10=17, solve for x). Sixth graders will also rewrite equations in equivalent forms and understand that a solution is the values of the variables that make an equation true.

Statistical Thinking

As they develop their ability to think statistically, sixth graders will learn about mean, median, and mode, and they will start describing data distributions. They will also learn about measures and variability and the effect of outliers.

6th Grade Math Worksheet - A Parent's Guide

Many educators, politicians, and parents believe the instruction of mathematics in the United States is in crisis mode, and has been for some time. Indeed, recent test results show that American 15-year-olds were outperformed by 29 other countries on math testing scores. 1 To help counter this crisis, educational, civic, and business leaders worked together to develop the Common Core State Standards (CCSS).

The goal of Common Core is to establish consistent, nationwide guidelines of what children should be learning each school year, from kindergarten all the way through high school, in English and math. Though CCSS sets forth these criteria, states and school districts are tasked with developing curricula to meet the standards.

The 2014-15 school year will be important for Common Core as the standards are fully implemented in many remaining states of the 43 (and the District of Columbia) that have embraced their adoption. CCSS has its advocates as well as its critics, and the debate on its merits has become more pronounced in recent months. Irrespective of the political differences with Common Core, its concepts are critical for students because the standards help with understanding the foundational principles of how math works. This guide steers clear of most of the controversy surrounding CCSS and primarily focuses upon the math your sixthgrader will encounter.

1 U.S. Students Slide in Global Ranking on Math, Reading, Science; NPR.org; Dec. 13, 2013

Common Core Standards

A stated objective of Common Core is to standardize academic guidelines nationwide. In other words, what sixth-graders are learning in math in one state should be the same as what students of the same age are learning in another state. The curricula may vary between these two states, but the general concepts behind them are similar. This approach is intended to replace wildly differing guidelines among different states, thus eliminating (in theory) inconsistent test scores and other metrics that gauge student success.

An increased focus on math would seem to include a wider variety of topics and concepts being taught at every grade level, including sixth grade. However, CCSS actually calls for fewer topics at each grade level. The Common Core approach (which is clearly influenced by so-called “Singapore Math”—an educational initiative that promotes mastery instead of memorization) goes against many state standards, which mandate a “mile-wide, inch-deep” curriculum in which children are being taught so much in a relatively short span of time that they aren’t effectively becoming proficient in the concepts they truly need to succeed at the next level. Hence, CCSS works to establish an incredibly thorough foundation not only for the math concepts in future grades, but also toward practical application for a lifetime.

For sixth grade, Common Core’s focus includes ratios, division of fractions, negative numbers, and variables. Ultimately, this focus will enable children to develop rigor in reallife situations by developing a base of conceptual understanding and procedural fluency.

Overview of Sixth Grade Math Topics

From the four critical areas of focus discussed in the previous section, Common Core also further clarifies the skills sixth graders should know by the end of the school year. For example, the fluency requirement at this level is multi-digit division and multi-digit operations with decimals. The five topics presented here, taken directly from CCSS itself, include some specifics on what kids will be taught in 6th Grade.

Ratios and Proportional Relationships

• Understand ratio concepts and use ratio reasoning to solve problems. The concept of ratios will be taught; for example, every soccer team in the league has 12 players, so the ratio of players to teams is 12:1. From this concept is introduced the idea that a unit rate of a ratio a:b is the same as a/b (e.g., if the soccer team has 2 goalkeepers out of its 12 players, 1/6 of the team are goalies). Once ratios are understood, students will solve real-world math problems including ratios of time and speed, unit pricing, percentages, and measurement.

• Gain familiarity with factors and multiples. Prime numbers are also introduced.

• Generate and analyze patterns. The idea here is that sixth graders will recognize the patterns apparent in the four basic math operations, as well as create patterns based on a given rule.

Number Operations in Base 10

• Use place value understanding and properties of operations to perform multi-digit arithmetic. Students will strive toward fluently adding or subtracting numbers within a 1,000. They will master rounding numbers to the nearest 10 or 100, and they will also learn to multiply one-digit numbers by multiples of 10 but less than 100 (e.g., 6 × 40).

The Number System

• Apply and extend previous understandings of multiplication and division to divide fractions by fractions. This is exactly how it sounds: Students will become proficient in dividing fractions by fractions. Then, they will apply this concept to word problems.

• Compute fluently with multi-digit numbers and find common factors and multiples. By the end of sixth grade, students complete their fluency of the four basic operations and will be able to add, subtract, multiply, or divide any multi-digit number, either whole or including decimals. Also, they will learn to find the greatest common factor (GCF) of two numbers of 100 or less and the least common multiple (LCM) of two numbers not greater than 12.

• Apply and extend previous understandings of numbers to the system of rational numbers. The concept of negative numbers are emphasized, particularly in real-world quantities (e.g., temperature, budgets, and so on). Rational numbers and absolute value are introduced, as well as the role of 0 on the number line. Finally, word problems will include graphing points in all four quadrants of a coordinate plane.

• Apply and extend previous understandings of arithmetic to algebraic expressions. Among the subjects taught:.

• Students will begin to identify and evaluate expressions that replace letters for numbers (e.g., add x to 8 to get x + 8).
• They will identify parts of an expression using the terms they have learned from previous grades (e.g., quotient, factor, sum, and so on).
• They will create and evaluate expressions using whole-number exponents.
• They will apply the order of operations to equations, especially those without parentheses.
• They will apply the distributive property to reach equivalent equations. For example, 2 (x + 4) is the same as 2x + 8.
• They will be able to identify when equations are equivalent. For example, x + x + 2x is equivalent to 5x - x.

• Reason about and solve one-variable equations and inequalities. With these algebraic concepts down, sixth graders will begin to solve simple equations and inequalities that include one variable. They will also use substitution to determine if an equation is true.

• Represent and analyze quantitative relationships between dependent and independent variables. Students will solve problems that use variables to represent two quantities that change in relationship to one another. For example, how far would a train that goes 50 miles per hour travel in a certain number of hours? If d represents distance and t equals time, then d = 50t. The equation can change if the train goes faster or slower.

• Solve real-world problems involving area, surface area, and volume. Concepts taught in sixth grade include:

• Students will solve for the area of right triangles, special quadrilaterals, and other polygons by composing the shapes into rectangles or decomposing them into triangles and other shapes.
• The will learn how to find the volume of a right prism.
• They will draw polygons in the coordinate plane based on given vertices, and they will apply this concept to word problems.
• They will represent three-dimensional problems using nets of rectangles and triangles to find surface area.

Statistics and Probability

• Develop understanding of statistical variability. Students will be taught the definition of a statistical question as one that anticipates variability (for example, asking someone’s age with the knowledge the answer could be within a range of numbers). Also, they will learn that data collected to answer a statistical question has a center (mean, median, and mode), a spread (interquartile range, mean absolute deviation, and outliers), and an overall shape.

• RSummarize and describe distributions. Sixth graders will display data on a number line, including dot plots, histograms, and box plots. Furthermore, they will summarize data sets in relation to context, including by reporting the number of observations, describing the nature of the attribute (e.g., how it was measured), by mean and median, and by identifying patterns in relation to the center.

Tips for Helping Your Sixth Grader with These Sixth Grade Math Worksheets

Some of parents’ trepidation with Common Core isn’t so much with the guidelines themselves, but with the testing now aligned with CCSS via local math curricula. Standardized testing was stressful for students and parents before; with the ongoing Common Core implementation, many families simply don’t know what to expect.

Fortunately, CCSS does not have to be that stressful, for you or your sixth grader. Here are some tips to help your children succeed with Common Core math:

Be informed; be involved

If Common Core concerns you, intrigues you, or confuses you, don’t hesitate to learn as much about it—in your child’s classroom, at your kids’ school, and on a national level. Talk with teachers, principals, and other parents. Seek advice on how you can help your kids, and yourself, navigate CCSS math. If you want to take further action, become involved with PTA or other organizations and committees that deal with your school’s curriculum. The more you know, the more, ultimately, you can help your child.

Give them some real-world math

A basic tenet of Common Core is to apply math principles to real-world situations. Why not start now? Give your child math problems when you are out and about— the grocery store, in traffic, the park, and so on. For example, if you are putting gasoline into your car, before you start dispensing the fuel, ask your sixth grader how much money will be required to fill up your 15-gallon tank. Without a pencil and notebook to compute the answer, he or she might have to fall back on alternative math processes—processes that Common Core encourages—for a solution.

Take time to learn what they are learning

You might look at a worksheet your child brings home and think, “This isn’t the math I’m used to.” Because Common Core emphasizes understanding the process of arriving at an answer, your child may be taught additional ways to fry a mathematical egg, so to speak. Instead of shunning these approaches, learn them for yourself. Once you comprehend these additional methods, you will be better able to help your child comprehend them as well.

Encourage them to show their work

This suggestion can be read two ways. First, students will be encouraged to show how they arrived at an answer (and beginning with sixth grade math, some answers can be self-checked to see if they are correct), especially within Common Core. Second, ask your children to show you their homework, particularly the challenging stuff. Explaining how a problem is solved is a basic CCSS tenet, so if your kids can be confident in explaining their work to you, they will carry that confidence into the classroom when the teacher asks for those same explanations.

Seek more help if necessary

If your sixth grader is struggling with the new math standards, talk with his or her teacher first. You then might want to seek outside resources to help your child. Several online resources provide math help, including worksheets and sample tests that conform to Common Core standards. Tutoring might be an option you consider as well. Innovative iPad-based math programs have emerged that combine the personalized approach of a tutor with today’s technology. This revolutionary approach also may feature a curriculum based on Common Core, thus ensuring your child’s learning at home is aligned with what he or she is learning at school.

The Truth About CCSS and Performance

Common Core aims to improve educational performance and standardize what students should learn at every grade in preparation for a lifetime of application, but it does not set curricula, nor does it direct how teachers should teach. As with any educational reform, some teachers, schools, and school districts will struggle with CCSS, some will seamlessly adapt, and some will thrive. As a parent, your responsibility is to monitor what your sixth-grader is learning, discover what is working or isn’t working for your child, and to communicate with his or her teacher—and to accept that your children’s math instruction does differ from what you learned when you were younger, or even what they might have learned last year. The transition can be a little daunting for parent and student alike, but that’s not a product of the standard itself. Common Core simply takes a new, more pointed approach to improving the quality of math instruction in this country.

The Benefits

As previously mentioned, CCSS decreases the number of topics students learn at each grade. However, the remaining topics are covered so extensively that the chances a child will master the corresponding skills increase. An analogy to this approach is comparing two restaurants. One restaurant has a varied menu with dozens of items; the other only serves hamburgers, fries, and milk shakes. The quality of the food at the first restaurant may vary upon the cooks’ experience, the multitude of ingredients required for so many offerings, and the efficiency (or lack thereof) of the staff. Because the second restaurant only serves three items, mastering those three items efficiently should result in an excellent customer experience. That’s not to say the first restaurant won’t succeed (because many do), but there’s always a chance that something on the menu won’t live up to the business’s own expectations.

By reducing the number of math topics taught, Common Core helps ensure students are truly ready for what comes next. Given the attention given to the included concepts, more practical applications and alternate operations of the math can be explored.

Coinciding with the reduction of topics is an emphasis on vigor—achieving a “deep command” of the math being taught. Students will be challenged to understand the concepts behind mathematical operations rather than just resorting to rote memorization and processes to get a right answer. Speed and accuracy are still important; kids won’t be getting away that easily from flash cards and quizzes that increase fluency. Moreover, Common Core places even additional emphasis on practical application—after all, the math kids learn now will be important when they become adults, even if they never have to think about prime numbers or symmetrical lines in their day-to-day lives.

Finally, CCSS links standards from grade to grade so that the skills learned at one level translate into the tools they need to learn at the next level. This coherence would seem an obvious educational approach, but often, there is no link—students are taught a skill in sixth grade that might not be used (and might have to be re-taught) until eighth. Each new concept in Common Core is an extension of a previous, already learned concept.

2 Grade 4: Introduction, Common Core State Standards Initiative

Math Practices to Help Improve Performance

In addition to the grade-specific standards it sets forth, Common Core also emphasizes eight “Standards of Mathematical Practice” that teachers at all levels are encouraged to develop in their students.3 These eight practices, designed to improve student performance, are described here, with added information on how they apply to sixth-graders.

• Make sense of problems and persevere in solving them. Students explain the problem to themselves and determine ways they can reach a solution. Then, they work at the problem until it’s solved. This CCSS math practice encourages students to take their time to read and try understanding the problem, emphasizing that the process is ultimately important even if it doesn’t result in a correct answer. Sixth-graders, for example, might create a table of numbered pairs to better understand a ratio. Students this age will also be encouraged to visualize the problem in order to better reach a solution.

• Construct viable arguments and critique the reasoning of others Students use their acquired math knowledge and previous results to explain or critique their work or the work of others. Sixth-graders may be asked to work in teams to solve a problem or set of problems, then present their work to the class.
• Model with mathematics This is just like it sounds: Students use math to solve real-world problems. Sixth-graders can be challenged to take the math skills they have learned into their own lives. For example, a student may use ratios and variable equations to determine how many lawns could be mowed in 30 hours if it takes 6 hours to mow 4 lawns.
• Use appropriate tools strategically Another self-explanatory practice: Students learn and determine which tools are best for the math problem at hand. Fourth-graders might be directed to fgure out the perimeter of their classroom and be given a choice of a yardstick, a 6-inch ruler, or a tape measurer to achieve that goal. They then decide which will work best toward a solution.
• Attend to precision Students strive to be exact and meticulous—period. A great thing about ratios and variable equations: Answers can be easily and efficiently double-checked, and sixth-graders will be expected to review an answer to ensure they were correct. Here’s another example of the importance of precision: Students can use the distributive property to express the sum of two whole numbers between 1 and 100 with a common factor as a multiple of a sum of two whole numbers with no common factor—e.g., 36+8 can also be expressed as 4 (9+2).
• Look for and make use of structure Students will look for patterns and structures within math and apply these discoveries to subsequent problems. For example, solving for x in an equation might be as simple as adding or subtracting the variable from each side—a basic algebraic principle that will help sixth-graders with variable expressions. Another example: The smaller number in negative inequality (e.g., -7
• Look for and express regularity in repeated reasoning Students come to realizations—“a-ha” moments is a good term for these realizations—about the math operations that they are performing and use this knowledge in subsequent problems. For example, a fourth-grader may realize that whenever an odd number is divided by an even number, there will be a remainder, which is something he or she can look for in future division problems.
• Look for and express regularity in repeated reasoning Students come to realizations—“aha” moments is a good term for these realizations—about the math operations that they are performing and use this knowledge in subsequent problems. For example, a sixth-grader might realize that 30 percent of a quantity is the same as 30/100 times the quantity. He or she can then use that knowledge when solving other problems involving percentages.

How to Help Your Children Succeed Beyond CCSS

Fortunately, CCSS does not have to be that stressful, for you or your fourth-grader. Here are some tips to help your children succeed with Common Core math:

A basic tenet of Common Core is to apply math principles to real-world situations. Why not start now? Give your child math problems when you are out and about— the grocery store, in traffic, the park, and so on. For example, if you are putting gasoline into your car, before you start dispensing the fuel, ask your fourth-grader how much money will be required to fill up your 15-gallon tank. Without a pencil and notebook to compute the answer, he or she might have to fall back on alternative math processes—processes that Common Core encourages—for a solution.

This suggestion can be read two ways. First, students will be encouraged to show how they arrived at an answer (and beginning with fourth-grade math, some answers can be self-checked to see if they are correct), especially within Common Core. Second, ask your children to show you their homework, particularly the challenging stuff. Explaining how a problem is solved is a basic CCSS tenet, so if your kids can be confident in explaining their work to you, they will carry that confidence into the classroom when the teacher asks for those same explanations.

If your fourth-grader is struggling with the new math standards, talk with his or her teacher first. You then might want to seek outside resources to help your child. Several online resources provide math help, including worksheets and sample tests that conform to Common Core standards. Tutoring might be an option you consider as well. Innovative iPad-based math programs have emerged that combine the personalized approach of a tutor with today’s technology. This revolutionary approach also may feature a curriculum based on Common Core, thus ensuring your child’s learning at home is aligned with what he or she is learning at school.

Math Practice Worksheets

Ratio and proportion.

Enter the ratio of number of boxes to number of cupcakes as a fraction in its simplest form: 3 boxes for 15 cupcakes

Identify all the equivalent ratios: For every 4 students who like Math in Victoria Public School, 8 like Chemistry.

12 laps in 3 hours = _ laps per hour

Steven saved $54 in 3 days. If he saved the same amount each day, how much money did he save in a day?

Which is a better buy?

• 7 items for $50
• 10 items for $61

Use a 2x multiplication table to write two equivalent ratios, a/c and b/d. Fill in the missing numbers. a/c = _ / _ b/d = _ / _

Are these ratios equivalent? 42 books for every 6 notepads 126 books for every 18 notepads

Write unit rate as a fraction in its simplest form Mason traveled 164 miles in 8 hours. If he traveled the same number of miles each hour, how many miles did he travel per hour?

Select the car that is the most efficient

Fill in the missing numbers a = _ b = _ c = _

If the value of x is 10, the value of y is _ .

Select the even number smaller than 5 and greater than -18.

Identify the coordinates of the point Z.

If the cross is reflected over the y-axis, give the coordinates of its reflected position.

When the point B is reflected over the y-axis, in which quadrant will the reflected point, B’, lie?

• Quadrant II
• Quadrant III
• Quadrant IV

Fill in the missing number The distance between (4, -2) and (4, 3) is _ units.

On the map of Jack’s neighborhood, Jack’s home is located at (5, 2). The park is located 3 units right of Jack’s home. What are the coordinates of the park?

Which is the farthest from Myra’s home?

T4 2/5 ÷ 3 7/9

The Highest Common Factor of 24 and 36 is _.

A set of tiles are put as a border of a room. Every third tile in the border is green and every fifth tile is checked. Which would be the first checked green tile?

Express in an equation form: If 8 is subtracted from a number, the answer is 14.

If a = -14 and b = 6, what is a x b?

Find the value of the expression, when x = 15. (6 ÷ 2)x - 4

Identify all the equivalent expressions

• p + p + p + p + p

If (30+20) is expressed as 10(2+3), where 10 is the greatest common factor of 30 and 20, how can you express (24+28)?

Study the table and define a rule for the output

Mason bought toffees for $3 and z candies costing $0.25 each. Which expression gives the total amount spent by Mason?

• 0.25 × z - 3
• 0.25 × z × 3
• 3 × z + 0.25
• 0.25 × z + 3

Select all the correct options: A shop sells a DVD for $8 and a CD for $4. Select the correct combinations that Mia would be able to buy if she has $40 dollars in hand.

• 3 DVDs and 5 CDs
• 2 DVDs and 6 CDs
• 4 DVDs and 2 CDs
• 5 DVDs and 1 CD

Is this statement true or false? When n is an integer less than 0, 10n > 1.

Select all the values that would make the inequality true: 15 - 4z > 6

Robert painted the walls and ceiling of two of his rooms. Each room measures 15 ft × 20 ft × 12 ft. How many rectangular faces did he paint?

Does the net match the solid figure of a triangular pyramid?

Which solid figure does the net represent?

Scroll down to see all the options: Which other faces have the same area as B? Select all the correct options.

What is the surface area of the net, in square inches, if each small square measures 1 square inch?

A rectangular pyramid and its net are given. Fill in the missing number. The area of the net is _ cm².

The area of one of the faces of a closed rectangular prism is 90 cm². The area of another face is 126 cm². If the area of the base is 35 cm², what is the surface area of the prism in cm²?

Emily is building a tent in the shape of a square pyramid. The area of the base is 25 ft² and the side and height of each of the triangular faces is 5 ft. How much material, in ft², does Emily need to build the tent?

Perimeter of a rectangle is 58 cm and one side is 14 cm. Calculate the area in sq. cm.

A cube and its net are given. Fill in the missing number. The area of the net is _ ft².

50 students of grade 5 are asked their ages. In which of these statements can you anticipate more variability?

• What is your age in months?

Stella collected the price of DVDs sold at the neighborhood store. The dot plot represents the data she collected. Describe the shape of data distribution.

• The distribution is symmetrical
• The data is clustered
• The data has an outlier.
• The distribution is skewed to the left

Identify the sampling method that the statement conveys: Andrew asks five members of every age group attending the gym about the number of hours in a week they exercise.

• Representative

The Basketball team of Brentwood High School played 5 games in a tournament and their scores are depicted in the Box and Whisker plot. What was their highest score?

The sizes of farms (in acres) in Sonoma County and Ben Hill County are depicted in the histograms. There are _ more 50-acre farms in Sonoma County than in Ben Hill County.

An ice-cream store recorded the different types of icecreams sold in a day. The table shows the data. How many Vanilla ice-creams were sold?

Holdings Inc. launched a new website. The number of hits on the first 5 days are listed here: 35, 95, 120, 115, 110 What is the effect of the outlier on the mean?

• The outlier increases the mean
• The outlier decreases the mean.
• The outlier has no effect on the mean.

Fill in the missing number The time (in seconds) taken by 10 contestants to complete a puzzle was recorded.

52, 48, 59, 62, 54, 135, 51, 59, 62, 58

The mean increases by _ seconds when outlier is included.

The line graph represents the price of stationery items at a departmental store.

Eva is taking French classes. The following are the number of new words learned by her over a period of 10 days.

5, 8, 7, 10, 6, 3, 12, 7, 8, 15

The range of the of the data is _ .

• (2) A), B), C)
• (6) 6, 10, 12, 20
• (10) 3, 5, 7, 10
• (3) (-8, -8)
• (8) 1 14/85
• (10) A, B, C, D

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Printable 6th Grade Worksheets

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Unit 3: Rates and percentages

About this unit.

Rates and percentages are a new and exciting real world application of arithmetic! They come up frequently in everyday life—from figuring out sale prices to calculating tips at restaurants. These are concepts you can actually use every day!

Intro to rates

• Intro to rates (Opens a modal)
• Solving unit rate problem (Opens a modal)
• Solving unit price problem (Opens a modal)
• Rate problems (Opens a modal)
• Comparing rates example (Opens a modal)
• Rate review (Opens a modal)
• Unit rates Get 5 of 7 questions to level up!
• Rate problems Get 3 of 4 questions to level up!
• Comparing rates Get 3 of 4 questions to level up!

Intro to percents

• The meaning of percent (Opens a modal)
• Meaning of 109% (Opens a modal)
• Percents from fraction models (Opens a modal)
• Intro to percents Get 5 of 7 questions to level up!
• Percents from fraction models Get 3 of 4 questions to level up!

Visualize percents

• Finding percentages with a double number line (Opens a modal)
• Finding the whole with a tape diagram (Opens a modal)
• Find percents visually Get 5 of 7 questions to level up!

Equivalent representations of percent problems

• Fraction, decimal, and percent from visual model (Opens a modal)
• Converting percents to decimals & fractions example (Opens a modal)
• Percent of a whole number (Opens a modal)
• Ways to rewrite a percentage (Opens a modal)
• Converting between percents, fractions, & decimals (Opens a modal)
• Finding common percentages (Opens a modal)
• Converting percents and fractions review (Opens a modal)
• Converting decimals and percents review (Opens a modal)
• Equivalent representations of percent problems Get 3 of 4 questions to level up!
• Benchmark percents Get 5 of 7 questions to level up!

Percent problems

• Finding a percent (Opens a modal)
• Finding percents Get 5 of 7 questions to level up!

Percent word problems

• Percent word problem: recycling cans (Opens a modal)
• Rates and percentages FAQ (Opens a modal)
• Percent word problems Get 5 of 7 questions to level up!