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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.

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• 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

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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
• Mode and Range Worksheets
• Mean Median Mode and Range Worksheets
• Line Graphs 6th Grade Worksheets
• Dot Plot Worksheets
• Box Plot Worksheets

Fun Zone: Puzzles, Games and Riddles

• 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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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.

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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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Free Mathematics Tutorials

Algebra questions and problems for grade 6.

Grade 6 algebra questions and problems with detailed solutions are presented. Questions on expanding and simplifying expressions, solving linear equations, factoring expressions,....are included.

Questions and Problems

• List all like terms included in each of the expressions given below. A) 6 x + 5 + 12 x - 6 B) 2 x 2 - 4 + 9 x 2 + 9 C) x / 5 + x / 7 + 7 D) 0.2 x + 1.2 x + x / 2 + 5 E) 5 x - 8 + 7 x - 2 x 2 - 4 + 9 x 2 + 4 x 3 F) 5 a + 8 - 7 a b G) 5 a b+ 8 + 6 b a - a + 3 b Solution
• Evaluate each of the expressions for the given value(s) of the variable(s). A) 6 x + 5   for   x = 2 B) 12 x 2 + 5 x - 2   for   x = 1 C) 2( x + 7) + x   for   x = 0 D) 2 a + 3b - 7   for   a = 2 and b = 4 Solution
• Expand (if needed) and simplify each of the expressions below. A) 3 x + 5 x B) 2( x + 7) + x C) 2(x + 3) + 3(x + 5) + 3 D) 2 (a + 1) + 5b + 3(a + b) + 3 Solution
• Factor each of the expressions below. A) 3 x + 3 B) 8 x + 4 C) a x + 3 a D) (x +1) y + 4 (x + 1) E) x + 2 + b x + 2 b Solution
• Solve each of the equations below and check your answer. A) x + 5 = 8 B) 2 x = 4 C) x / 3 = 2 D) 0.2 x = 1 D) 3 x + 6 = 12 E) 3 (x + 2) + 2 = 8 Solution
• There are n boxes in a large bag and m toys in each box. What is the total number of toys in the bag? Solution
• Rewrite the expressions a × a × a - b × b using exponents. Solution
• The length of a rectangle is given by x + 2 and its width is equal to 3. Give a simplified expression of the area of this rectangle. Solution
• Two thirds of students in a class study math and the remaining eight students do not study math. What is the total number of students in this class? Solution
• A car travels 60 kilometers in one hour. At the same rate, what distance will be covered by this car in x hour? Solution
• Evaluate the expressions. A) 2 3 + 3 2 B) 0.1 3 C) 6 × (2 / 3) Solution
• A bag contains three red marbles; five blue marbles and seven green marbles. What is the ratio of blue marbles to the total number of marbles? Solution
• Solve the proportion : a / 3 = 5 / 18 Solution
• Which of the following ordered pairs is a solution to the equation 2 x + 3 y = 8? A) (0 , 0) B) (4 , 0) C) (1 , 2) Solution
• List all factors of the following numbers. A) 4 B) 12 C) 50 Solution
• Find the greatest common factor to each pair of the given numbers. A) 6 and 3 B) 18 and 24 C) 50 and 60 Solution
• Write the number " Six hundred seventy-two million two hundred fifty-nine" using the digits 0, 1, 2, ...9. Solution
• Which of the following expressions are equivalent? A) 2(x + 3) - 2 B) 2x + 4 C) 3(x + 3) - x - 5 Solution
• Find the lowest common multiple to each pair of the given numbers. A) 2 and 3 B) 7 and 14 C) 25 and 15 Solution
• Add and / or subtract and simplify A) 1 / 3 + 2 / 3 B) 2/5 - 1 / 7 Solution
• What is 2 / 3 of 21? Solution
• What is 40% of 1 / 4? Solution
• What is 20% of 50%? Solution
• How many seconds are there in one hour? Solution
• How many minutes are there in the month of January? Solution
• What is the location of each of the points: (-2 , 0) , (0 , 3) and (-2 , - 3) in a coordinate plane? Solution
• Order   7 / 5 , 12 / 10 , 21 / 20 and 111%   from the smallest to the largest. Solution

More References and links

Middle School Math (Grades 6, 7, 8, 9) - Free Questions and Problems With Answers High School Math (Grades 10, 11 and 12) - Free Questions and Problems With Answers Primary Math (Grades 4 and 5) with Free Questions and Problems With Answers

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Free Printable Math Word Problems Worksheets for 6th Grade

Math Word Problems: Discover a vast collection of free printable worksheets for Grade 6 students, created by educators to enhance their mathematical skills and problem-solving abilities. Dive into the world of numbers with Quizizz!

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• Addition Word Problems
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Explore printable Math Word Problems worksheets for 6th Grade

Math Word Problems worksheets for Grade 6 are an essential resource for teachers who want to help their students develop strong problem-solving skills and a deep understanding of mathematical concepts. These worksheets provide a variety of engaging and challenging problems that require students to apply their knowledge of math in real-world situations. With a wide range of topics covered, including fractions, decimals, percentages, and geometry, Grade 6 Math Word Problems worksheets are designed to align with the Common Core State Standards and support teachers in their efforts to create a well-rounded math curriculum. By incorporating these worksheets into their lesson plans, teachers can ensure that their students are receiving the practice and reinforcement they need to excel in math.

Quizizz is an excellent platform for teachers to access a vast library of Math Word Problems worksheets for Grade 6, along with other valuable resources to enhance their students' learning experience. This interactive platform offers a variety of features, such as customizable quizzes, real-time feedback, and gamification elements, to keep students engaged and motivated. In addition to Grade 6 Math worksheets, Quizizz also provides resources for other subjects and grade levels, making it a one-stop-shop for teachers looking to diversify their instructional materials. By utilizing Quizizz in conjunction with Math Word Problems worksheets for Grade 6, teachers can create a dynamic and effective learning environment that fosters a love for math and sets their students up for success.

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