homework for standard 6

• Number Charts
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• Fractions & related
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• Mixed numbers vs. fractions
• Equivalent fractions
• Prime factorization & factors
• Fraction Calculator
• Decimals & Percent
• Add, subtract, multiply,   and divide decimals
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• Percents to decimals
• Percentage of a number
• Percent word problems
• Classify triangles
• Classify quadrilaterals
• Circle worksheets
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Reading & Math for K-5

• Kindergarten
• Learning numbers
• Comparing numbers
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• Multiplication
• Order of operations
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• Factoring & prime factors
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Grade 6 Multiplication & Division Worksheets

Multiplication and division math worksheets.

These grade 6 math worksheets give additional computational practice , particularly in column form multiplication and long division.

Sample Grade 6 Multiplication Worksheet

More division worksheets

Explore all of our division worksheets , from simple division facts to long division of large numbers.

More multiplication worksheets

Find all of our multiplication worksheets , from basic multiplication facts to multiplying multi-digit whole numbers in columns.

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Common Core Grade 6 Math (Worksheets, Homework, Lesson Plans)

Looking for video lessons that will help you in your Common Core Grade 6 math classwork or homework? Looking for Common Core Math Worksheets and Lesson Plans that will help you prepare lessons for Grade 6 students?

The following lesson plans and worksheets are from the New York State Education Department Common Core-aligned educational resources. The Lesson Plans and Worksheets are divided into six modules.

Related Pages Common Core Math Resources, Lesson Plans And Worksheets Common Core Math Video Lessons, Math Worksheets and Games for Grade 6 Common Core Math Video Lessons, Math Worksheets and Games for all grades

Printable Worksheets Grade 6 Worksheets according to Topics

Grade 6 Homework, Lesson Plans And Worksheets

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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
• More Algebra Worksheets
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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).

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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.

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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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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

Helping with Math

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.

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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Common Core - State Standards Initiative

Students are entering a new section of math that consists of algebra, geometry, decimals, and more complicated division problems. When there is not a parent or teacher around, students have access to on-demand videos for their sixth-grade mathematical lessons. Our video tutorials are taught by math teachers who go through the problem solving process.

• The key to learning math is repetition, and our math teachers go through multiple examples. 
• Math teachers show students step-by-step directions on how to solve these more complex problems.
• Students learn money, ratios, decimals, graphing, and other concepts from the 6th grade curriculum.

Grade 6 Common Core Standards

Here are the Common Core Standards for Grade 6, with links to resources that support them. We also encourage plenty of exercises and book work.

Reading Worksheets, Spelling, Grammar, Comprehension, Lesson Plans

6th Grade Common Core Worksheets

The Common Core State Standards (CCSS) for English Language Arts (ELA) provide a framework of educational expectations for students in reading, writing, and other language skills. The goals of the CCSS ELA are broken out by grade and subject area, including Reading: Literature, Reading: Informational Text, Writing, Speaking and Listening, and Language, as well as expectations in additional subject areas such as science and technology, history, and further writing areas. Sixth graders are expected to master the basics of reading fiction and non-fiction books, learn deeper writing and grammar skills, grow in their oral presentations, collaborations, use of technology and the complexity of their reading choices. See the subheadings for each ELA category for more information on the specific expectations for students.

6th Grade CCSS: Reading: Informational Text

6th grade ccss:reading: literature, 6th grade language, 6th grade speaking and listening, 6th grade writing.

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Go Math! 6 Common Core Edition, Grade: 6 Publisher: Houghton Mifflin Harcourt

Go math 6 common core edition, title : go math 6 common core edition, publisher : houghton mifflin harcourt, isbn : 547587783, isbn-13 : 9780547587783, use the table below to find videos, mobile apps, worksheets and lessons that supplement go math 6 common core edition..

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Year 6 Maths Worksheets UK Hub Page

Welcome to our Year 6 Maths Worksheets area.

Here you will find a wide range of free printable Year 6 Maths Worksheets for your child to enjoy.

Come and take a look at our rounding decimal pages, or maybe some of our adding and subtracting fractions worksheets. Perhaps you are looking for some worksheets about finding angles in a triangle, or need some ratio problem worksheets to help your child learn about ratio?

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.

Year 6 Maths Learning

Here are some of the key learning objectives for the end of Year 6:

• know and use Place value up to 10 million
• Counting on and back in steps of powers of 10 from any number up to 10 million
• Round numbers to any given degree of accuracy.
• Count forwards and backwards through zero with positive and negative numbers.
• Read Roman numerals to 1000 and recognise years written in Roman numerals
• solve multi-step problems using addition and subtraction in a range of contexts
• identify multiples and factors including common factors
• multiply and divide up to 4-digit numbers by up to 2 digits
• Use their knowledge of the order of operations to carry out calculations involving the four operations.
• Identify common factors, common multiples and prime numbers.
• solve problems involving addition, subtraction, multiplication and division
• simplify fractions
• compare and order fractions including mixed numbers
• add and subtract fractions with different denominators including mixed numbers
• multiply simple fractions together and simplify the answer
• divide proper fractions by whole numbers
• recall and use equivalence between simple fractions, decimals and percentages.
• Multiply and divide whole numbers and decimals up to 3dp by 10, 100 or 1000
• read, write, order and compare numbers up to 3dp
• round decimals with up to 3dp to the nearest whole
• solve problems with numbers up to 3dp
• work out percentages of different amounts
• solve problems using percentages
• use simple formulae
• express missing number problems using algebra
• find pairs of numbers that satisfy equations with two variables
• solve problems involving simple ratios
• solve problems involving similar shapes where the scale factor is known
• use, read, write and convert between standard units of measure
• measure, compare and calculate using different measures
• know that shapes with the same area can have different perimeters
• find the area of parallelograms and right triangles
• find the volume of cubes and cuboids
• convert between miles and km
• name and understand the parts of circles - radius, diameter and circumference
• draw 2D shapes accurately using dimensions and angles
• compate and classify 2D shapes by a range of properties
• find missing angles in triangles, quadrilaterals and regular shapes
• use coordinates in all 4 quadrants
• draw and translate simple shapes in all 4 quadrants
• interpret and construct pie charts and line graphs
• calculate the mean as an average

Please note:

Our site is mainly based around the US Elementary school math standards.

Though the links on this page are all designed primarily for students in the US, but they are also at the correct level and standard for UK students.

The main issue is that some of the spelling is different and this site uses US spelling.

Year 6 is generally equivalent to 5th Grade in the US.

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

Quicklinks to Year 6 ...

• Place Value Zone
• Mental Math Zone

Word Problems Zone

Fractions percents ratio zone.

• Percentages Zone
• Measurement Zone

Geometry Zone

Data analysis zone.

• Fun Zone: games and puzzles

Coronavirus Stay At Home Support

For those parents who have found themselves unexpectedly at home with the kids and need some emergency activities for them to do, we have started to develop some Maths Grab Packs for kids in the UK.

Each pack consists of at least 10 mixed math worksheets on a variety of topics to help you keep you child occupied and learning.

The idea behind them is that they can be used out-of-the-box for some quick maths activities for your child.

They are completely FREE - take a look!

• Free Maths Grabs Packs

Place Value & Number Sense Zone

Year 6 number worksheets.

Here you will find a range of Free Printable Year 6 Number Worksheets.

Using these Year 6 maths worksheets will help your child to:

• use place value with numbers up to 10 million;
• use place value with up to 3 decimal places;
• understand how to use exponents (powers) of a number;
• understand and use parentheses (brackets);
• understand and use multiples and factors;
• extend their knowledge of prime and composite (non-prime) numbers up to 100;
• know and be able to use the PEMDAS (or PEDMAS) rule.
• Place Value Worksheets to 10 million
• Place Value to 3dp
• Ordering Decimals Worksheets
• PEMDAS Rule Support Page
• PEMDAS Problems Worksheets
• Balancing Math Equations
• Roman Numerals worksheets

Ordering Large Numbers and Decimals to 3dp

The sheets in this section involve ordering lists of decimals to 3 decimal places and also large numbers up to 100 million.

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

• Ordering Large Numbers up to 100 million
• Ordering Decimals to 3dp

Rounding Decimals

• Rounding to the nearest tenth
• Rounding Decimal Places Sheets to 2dp
• Rounding Decimals Worksheet Challenges

Year 6 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.
• Counting By Decimals

Year 6 Mental Maths Zone

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!

• Year 6 Mental Maths Tests

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Year 6 Addition Worksheets

• add decimals including tenths and hundredths mentally;
• add a columns of multi-digit numbers, including decimals.
• Decimal Addition Fact Worksheets
• 5th Grade Addition Worksheets BIG Numbers
• Decimal Column Addition Worksheets
• Money Worksheets (randomly generated)

Year 6 Subtraction Worksheets

Using these sheets will help your child to:

• subtract decimals including tenths and hundredths mentally;
• subtract multi-digit numbers, including decimals using column subtraction.
• Subtracting Decimals Worksheets (mental)
• Subtraction Worksheets up to Billions (columns)
• Column Subtraction with Decimals

Year 6 Multiplication Worksheets

• extend their knowlege of multiplication to decimals;
• use their multiplication tables to answer related facts, including decimals;
• multiply a range of decimals with up to 2 decimal places (2dp) by a whole number;
• multiply different money amounts by a whole number.
• Multiplying Decimals by 10 and 100
• Multiplication Fact Sheet Decimals
• Decimal Multiplication Worksheets to 1dp
• Decimal Multiplication Worksheets to 2dp
• Free Multiplication Worksheets (randomly generated)
• Multiply and Divide by 10 100 (decimals)
• Multiplication & Division Worksheets (randomly generated)
• Multiplication Word Problems

Division Worksheets 5th Grade

Using these Year 6 maths worksheets will help your child learn to:

• divide any whole number up to 10000 by a two digit number;
• express any division with a remainder in the form of a mixed number (a number with a fraction part).
• Long Division Worksheets (whole numbers)
• Long Division of Decimal Numbers
• Decimal Division Facts
• Division Facts Worksheets (randomly generated)

Year 6 Maths Problems

• 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.

These sheets involve solving one or two more challenging longer problems.

• Year 6 Math Problems (5th Grade)

These sheets involve solving many 'real-life' problems involving data.

• Year 6 Math Word Problems (5th Grade)

These sheets involve solving a range of ratio problems.

Year 6 Fraction Worksheets

Year 6 percentage worksheets, year 6 ratio worksheets.

• compare and order fractions;
• 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.
• Comparing Fractions Worksheet page
• Adding Fractions Worksheets
• Adding Improper Fractions
• Subtracting Fractions Worksheets
• Adding Subtracting Fractions Worksheets
• Improper Fraction Worksheets
• Converting Decimals to Fractions Worksheets
• Fractions Decimals Percents Worksheets
• Multiplying Fractions Worksheets
• Dividing Fractions by Whole numbers
• Divide Whole numbers by Fractions
• Simplifying Fractions Worksheets
• Free Printable Fraction Riddles (harder)

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
• Percentage Word Problems

These Year 6 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

Year 6 Geometry Worksheets

• know how to find missing angles in a range of situations;
• learn the number of degrees in a right angle, straight line, around a point and in a triangle;
• know how to calculate the area of a triangle;
• know how to calculate the area of a range of quadrilaterals.
• learn the formulas to calculate the area of triangles and some quadrilaterals;
• write and plot coordinates in all 4 quadrants.
• (5th Grade) Geometry - Angles
• Area of Quadrilaterals
• 5th Grade Volume Worksheets
• Coordinate Worksheets (1st Quadrant)
• Coordinate Plane Worksheets (All 4 Quadrants)
• Parts of a Circle Worksheets

Measurement Zone, including Time & Money

Year 6 measurement worksheets.

Using these sheets will help your child understand how to:

• learn how to read a standard scale going up in different fractions: halves, quarters, eighths and sixteenths;
• learn how to read a metric scale going up in 0.1s, 5s, 10s, 25s, 50s & 100s;
• learn how to estimate a measurement of length, weight or liquid;
• convert temperatures in Celsius and Fahrenheit.
• (5th Grade) Measurement Worksheets

Time Puzzles - harder

Here you will find our selection of harder time puzzles.

• Time Word Problems Worksheets - Riddles (harder)

Using these sheets will help you to:

• find the mean of up to 5 numbers;
• find a missing data point when the mean is given.
• Mean Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 6 maths games.

• Year 6 Math Games (5th Grade)

Year 6 Maths Puzzles

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.

• Printable Math Puzzles

Math Salamanders Year 6 Maths Games Ebook

Our Year 6 Maths Games Ebook contains all of our fun maths games, complete with instructions and resources.

This ebooklet is available in our store - use the link below to find out more!

• Year 6 Maths Games Ebook

Other UK Maths Worksheet pages

See below for our other maths worksheets hub pages designed for children in the UK.

How to Print or Save these sheets 🖶

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• How to Print support

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