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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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## List of Topics

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

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

• Calculator Methods Decimals Fractions Fractions Decimals Percentages Mental Methods Negative Numbers Percentages Place Value Powers Proportion Ratio Rounding Time Types of Number Written Methods
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## 6th Grade Math Worksheets and Study Guides

The big ideas in Sixth Grade Math include connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems, division of fractions, rational numbers, writing, interpreting, and using expressions and equations and understanding of basic concepts in statistics and probability.

## Math Worksheets and Study Guides Sixth Grade

Data analysis & probability, probability, expressions & equations, algebraic equations, commutative/associative properties, coordinates, distributive property, one & two step equations, order of operations, simple algebra, area and circumference of circles, area of coordinate polygons, area of triangles and quadrilaterals, diameter of circle, measurement, plotting points, ratios & proportional relationships, add/subtract fractions, adding fractions, fractions/decimals, multiplication, multiply / divide fractions, multiply fractions, number patterns, ordering fractions, percent, rate, base, proportions/equivalent fractions, simple proportions, simplify fractions, the number system, evaluate exponents, exponents to repeated multiplication, mixed numbers, multiple representation of rational numbers, repeated multiplication to exponents, whole numbers to trillions, newpath learning resources are fully aligned to us education standards. select a standard below to view aligned activities for your selected subject and grade:.

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## Free Printable Math Worksheets for 6th Grade

Math just got more exciting for Grade 6 students! Discover a wide range of free printable math worksheets by Quizizz, tailored to enhance learning and understanding. Dive into the world of numbers and equations with these interactive resources.

## Explore worksheets by Math topics

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## Explore Math Worksheets for grade 6 by Topic

Explore other subject worksheets for grade 6.

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## Explore printable Math worksheets for 6th Grade

Math worksheets for Grade 6 are essential tools for teachers to help their students build a strong foundation in mathematics. These worksheets cover a wide range of topics, including fractions, decimals, percentages, geometry, and algebra, which are crucial for students at this level. By incorporating these worksheets into their lesson plans, teachers can provide their students with ample opportunities to practice and reinforce their understanding of various mathematical concepts. Furthermore, these worksheets can be easily customized to suit the individual needs and learning styles of each student, ensuring that they receive the appropriate level of challenge and support. With Math worksheets for Grade 6, teachers can effectively monitor their students' progress and identify areas where additional instruction or practice may be needed.

Quizizz is an excellent platform for teachers to access a vast collection of Math worksheets for Grade 6, as well as other valuable resources. This interactive platform offers a variety of engaging quizzes and games that can be used to supplement traditional worksheets, providing students with a more dynamic and enjoyable learning experience. Teachers can easily create their own quizzes or choose from a vast library of pre-made quizzes that cover a wide range of topics and difficulty levels. In addition to quizzes, Quizizz also offers features such as real-time feedback, progress tracking, and analytics, allowing teachers to gain valuable insights into their students' performance and understanding of the material. By incorporating Quizizz into their lesson plans, teachers can provide their Grade 6 students with a well-rounded and engaging approach to learning mathematics.

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## 6th Grade Math Worksheets: FREE & Printable

We have prepared comprehensive free 6th Grade Math worksheets. By downloading the worksheet, you can easily access the 6th Grade Math topic.

Does your student still need more practice to prepare for the 6th Grade Math test?

In this case, do not worry, because in this article we have prepared comprehensive free and printable 6th Grade Math worksheets for your student.

By clicking on any topic and downloading the worksheet, you can easily access your favorite 6th Grade Math topic.

You can download free 40+  6th Grade Math Worksheets  from Bytelearn.

IMPORTANT: COPYRIGHT TERMS: These worksheets are for personal use. Worksheets may not be uploaded to the internet, including classroom/personal websites or network drives. You can download the worksheets and print as many as you need. You can distribute the printed copies to your students, teachers, tutors, and friends.

You Do NOT have permission to send these worksheets to anyone in any way (via email, text messages, or other ways). They MUST download the worksheets themselves. You can send the address of this page to your students, tutors, friends, etc.

## Related Topics

• Grade 4 Mathematics Worksheets
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The Absolute Best Book to Ace the 6th Grade Math Test

## Mastering Grade 6 Math The Ultimate Step by Step Guide to Acing 6th Grade Math

6th grade mathematics concepts, whole numbers.

• Whole Number Addition and Subtraction
• Whole Number Multiplication and Division
• Rounding and Estimates

## Fractions and Decimals

• Simplifying Fractions
• Adding and Subtracting Fractions
• Multiplying and Dividing Fractions
• Adding and Subtracting Mixed Numbers
• Multiplying and Dividing Mixed Numbers
• Adding and Subtracting Decimals
• Multiplying and Dividing Decimals
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• Greatest Common Factor
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• The Distributive Property
• Evaluating One Variable Expressions
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## Equations and Inequalities

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## Exponents and Radicals

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The Best Math Prep Book to Help You Succeed on the 6th Grade Math Test

## Mastering Grade 6 Math Word Problems The Ultimate Guide to Tackling 6th Grade Math Word Problems

6th grade math exercises, proportions and ratios, solid figures.

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The Best Books to Ace the Math Test

## Mastering Grade 7 Math Word Problems The Ultimate Guide to Tackling 7th Grade Math Word Problems

Mastering grade 8 math word problems the ultimate guide to tackling 8th grade math word problems.

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## 6th Grade Online Math Worksheets

According to the Common Core Standards, in Grade 6, instructional time should focus on four critical areas: (1) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (2) completing understanding of division of fractions and extending the notion 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.

## 6th Grade Domains

If you know a particular Common Core Domain that you'd like to practice, you can drill down to it here.

• Understand ratio concepts and use ratio reasoning to solve problems.
• Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
• Compute fluently with multi-digit numbers and find common factors and multiples.
• Apply and extend previous understandings of numbers to the system of rational numbers.
• Apply and extend previous understandings of arithmetic to algebraic expressions.
• Reason about and solve one-variable equations and inequalities.
• Represent and analyze quantitative relationships between dependent and independent variables.
• Solve real-world and mathematical problems involving area, surface area, and volume.
• Develop understanding of statistical variability.
• Summarize and describe distributions.

## All 6th Grade Online Math Worksheets

This is a listing of all our 6th Grade Online Math Worksheets. Newest worksheets are on top!

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## 6th Grade Printable Math Worksheets Pdf with Answers and Explanations

In this section, you’ll find some fantastic grade 6 th grade printable math worksheets pdf with answers and explanations that you can download for free and use with your kids. Our Sixth grade math worksheets with answers are perfect for practicing and mastering various Grade 6 math topics, such as whole numbers, multiplication, division, exponents and square roots, number theory, decimals, fractions, mixed numbers, etc .

You will find worksheets for every skill level, from easy to challenging, and with answers included.

## Download our free sixth-grade math worksheets with answers

Choose your 6th-grade math topic:.

• Whole numbers

Multiplication

• Exponents and square roots
• Number theory
• Add & subtract decimals
• Multiply & divide decimals
• Fractions & mixed numbers
• Add & subtract fractions
• Multiply fractions
• Divide fractions
• Operations with integers
• Mixed operations
• Rational numbers
• Problems solving
• Ratio & proportions
• Percentages
• Measuring units
• Consumer math
• Telling time
• Coordinate graph
• Algebraic expressions
• One step equations
• Solving and graphing inequalities
• Two-step equations
• 2D Geometry
• Symmetry & transformation
• Geometry measurement
• Data and Graphs
• Probability

## Samples of 6th Grade Printable Math Worksheets Pdf

Our sixth-grade math worksheets with answers are designed to help your kids practice and review their 6 th -grade math skills and prepare for tests and quizzes that require knowledge of fractions, decimals, ratios, integers, expressions, equations, coordinate planes, area, perimeter, volume, surface area, statistics, probability, etc .

These 6 th Grade Printable Math Worksheets Pdf with Answers and Explanations align with the common core standards and thoroughly review the essential skills and concepts for 6 th -grade math. There are fun and engaging. They also have colorful graphics, word problems, exciting exercises, and challenges to motivate your students. The content also has answer keys showing detailed steps and explanations for each problem. This way, your kids can check their work and learn from their mistakes.

Let's look at some of the worksheets you can get from this fabulous collection!

## Grade 6 whole numbers worksheets

Whole numbers worksheets will help your kids review the place value of digits in whole numbers up to millions and how to write numbers in words and Roman numerals. It also has some problems in finding the greatest common factor and the least common multiple of two or more numbers. This is a great way to reinforce the basics of number sense and operations.

## Grade 6 multiplication worksheets

Multiplication worksheets will challenge your kids to multiply three or more numbers using different strategies, such as grouping, distributive property, and area models. It also has some word problems that require them to apply their multiplication skills in real-life situations. This is a great way to develop their problem-solving and reasoning skills.

## Grade 6 division worksheets

Division worksheets will help your kids practice dividing whole numbers by two-digit and three-digit divisors, as well as decimals by whole numbers. It also has some problems with estimating quotients and interpreting remainders. This is a great way to enhance their accuracy and fluency in the division.

## Grade 6 exponents and square roots worksheets

Exponents and square roots worksheets will help your kids learn how to write multiplication expressions using exponents and convert them between standard form and scientific notation. The worksheets also include problems in finding the square root of perfect squares and estimating the square root of non-perfect squares. This is a great way to introduce them to powers and roots.

## Grade 6 number theory worksheets

Number theory worksheets will help your kids learn how to write the prime factorization of numbers using exponents and identify prime and composite numbers. It also has some problems in finding the greatest common factor and the least common multiple of two or more numbers using prime factorization. This is a great way to deepen their understanding of number properties and relationships.

## Grade 6 decimals worksheets

Decimals worksheets will help your kids review how to represent decimals on a number line and compare and order decimals. It also has some problems with adding, subtracting, multiplying, and dividing decimals using various methods. This is a great way to reinforce their skills in decimal operations.

## Grade 6 fractions and mixed numbers worksheets

Fractions and mixed numbers worksheets will help your kids review how to represent fractions on a number line and compare and order fractions with like and unlike denominators. It also has some problems with adding, subtracting, multiplying, and dividing fractions and mixed numbers using various models and strategies. This is a great way to enhance their skills in fraction operations.

## Grade 6 ratios worksheets

Ratios worksheets will help your kids compare quantities using ratios and rates and solve problems involving proportions and unit rates.

## Grade 6 integers worksheets

Integers worksheets will help your kids to learn how to represent, compare, order, add, subtract, multiply, and divide positive and negative integers using various models and methods.

## Grade 6 expressions and equations worksheets

Expressions and equations worksheets will help your kids to learn how to write, simplify, evaluate, and solve algebraic expressions and equations using properties of operations and inverse operations.

## Grade 6 coordinate planes worksheets

Coordinate planes worksheets will help to plot points, identify quadrants, find distances, and graph linear equations on the coordinate plane.

## Grade 6 area, perimeter, volume, and surface area worksheets

Area, perimeter, volume, and surface area worksheets will help your kids to learn how to find the area and perimeter of polygons, the volume and surface area of prisms and pyramids, and how to apply the formulas to real-world situations.

## Grade 6 statistics and probability worksheets

Statistics and probability worksheets will help your kids to learn how to organize data using dot plots, histograms, box plots, mean, median, quartiles, interquartile range, and outliers, and how to calculate simple probabilities using fractions, decimals, percents, and ratios.

## Download Grade 6 math worksheets pdf

These are just some Grade 6 Math Worksheets PDF you can download from this unique collection. Many more worksheets cover other topics such as ratio and proportions, integers, expressions, equations, coordinate planes, area and perimeter, nets of solid shapes, volume and surface area, statistics and probability, and more. You can download them all by clicking the link below each worksheet.

Our Grade 6 Math Worksheets PDF are an excellent resource for parents and teachers who want to help their children improve their math skills and confidence. They are also a great way to keep your child entertained during the summer break or any other time when they need extra math practice. They are suitable for homeschooling, tutoring, or classroom use.

So what are you waiting for? Download our Grade 6 Math Worksheets PDF today and watch your child's math skills soar! You will be amazed by how much they will learn and enjoy math with our worksheets. They will be ready for the challenges of grade 7 and beyond!

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## Expressions and Equations 6th Grade

Welcome to our Expressions and Equations 6th Grade Worksheets.

Here you will find a range of algebra worksheets to help you learn about basic algebra, including generating and calculating algebraic expressions and solving simple equations.

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## Expressions and Equations Support

Generate the expression worksheets, calculate the expression worksheets.

• Simplify Expressions Worksheets
• Solve the Equations Worksheets
• Expressions and Equations Mixed Worksheets
• More recommended resources
• Expressions and Equations 6th Grade Online Quiz

Want to gain a basic understanding of algebra?

Looking for some simple algebra worksheets?

Do you need a bank of useful algebra resources?

Look no further! The pages you need are below!

Here is our selection of basic algebra sheets to try.

We have split the worksheets up into 3 different sections:

• 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.
• Mixed questions involving all 3 of the above.

By splitting the algebra up into sections, you only need to concentrate on one aspect at a time!

Each question sheet comes with its own separate answer sheet.

Want to test yourself to see how well you have understood this skill?.

• Try our NEW quick quiz at the bottom of this page.

What is an algebraic expression?

An expression is a mathematical statement where variables and operations are combined.

• 2a + 5 is an expression involving the variable a
• 5(y 2 - 6) is another expression

What is an algebraic equation?

An equation is where an algebraic expression is equal to something, which might be a number, or another algebraic expression.

• 2a + 5 = 7 is an equation
• 5(y 2 - 6) = 3y + 8 is another equation

How to Generate an Expression

When we are generating an expression, we are taking a rule and turning it into algebra.

• Subtract 6 from n could be written as n - 6.
• Multiply d by 4 could be written as d x 4 or 4d.
• Add 5 to p and then double the result is written as (p + 5) x 2 or 2(p + 5)

How to Calculate an Expression

When we are calculating the value of an expression, we work out the value of the expression when we give a value to the variable.

• p + 5 has a value of 11 when p = 6 because 6 + 5 = 11
• 4 - q has a value of 1 ½ when q = 2 ½ because 4 - 2 ½ = 1 ½
• 4(n - 2) has a value of 32 when n = 10 because 4 x (10 - 2) = 4 x 8 = 32
• 4(n - 2) has a value of -8 when n = 0 because 4 x (0 - 2) = 4 x (-2) = -8

How to Solve a Simple Equation

When we are solving an equation, we are finding out the value(s) of the variable in the equation.

• then p = 4 because 4 + 5 = 9
• Answer: p = 4
• then n = 56 ÷ 7 = 8
• Answer: n = 8
• means that f = 4 because 12 - 4 = 8
• Answer: f = 4
• then t = 5 because 0.6 x 5 = 3
• Answer: t = 5
• then r = 32 because ½ x 32 = 16
• Answer: r = 32

## Expressions and Equations 6th Grade Worksheets

• Generate the Expressions Sheet 6:1
• PDF version
• Generate the Expressions Sheet 6:2
• Calculate the Expression Sheet 6:1
• Calculate the Expression Sheet 6:2

## Calculate the Expressions Walkthrough Video

This short video walkthrough shows several problems from our Calculate the Expression Worksheet 6:1 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, please check out the video below!

## Simplifying Expressions Worksheets

• Simplifying Expressions Sheet 6:1
• Simplifying Expressions Sheet 6:2

## Simplifying Expressions Walkthrough Video

This short video walkthrough shows several problems from our Simplifying Expressions Worksheet 6:1 being solved and has been produced by the West Explains Best math channel.

## Solve the Equation Worksheets

• Solving Equations Sheet 6:1
• Solving Equations Sheet 6:2

## Expressions and Equations 6th Grade Mixed Worksheets

These questions involve solving equations, working out the value of expressions and also generating expressions.

They are a combination of questions from all the above categories.

• Expressions and Equations Mixed Questions Sheet 6:1
• Expressions and Equations Mixed Questions Sheet 6:2

## Expressions and Equations Walkthrough Video

This short video walkthrough shows several problems from our Expressions and Equations Mixed Questions Worksheet 6:1 being solved and has been produced by the West Explains Best math channel.

## More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

## Inequalities Worksheets

• Inequalities on a Number Line
• Writing Inequalities from Word Problems
• 6th Grade Distributive Property Worksheets

The sheets on this page have been designed to factorize and expand a range of simple expressions using the distributive property..

• Basic Algebra Worksheets

We have a selection of basic algebra worksheets which are aimed at 6th and 7th graders and involve similar skills to the sheets here.

## Free Algebra Problem Solver

The Mathway Calculator is a great way to solve algebra problems that you can type into a calculator.

Try using this online calculator tool to solve one of your problems and watch it work!

There are a range of calculators to choose from to meet your needs.

The Mathway problem solver will answer your problem instantly and also give you a link to view each of the steps needed.

If you choose to 'View the steps' you will be directed to the Mathway website where you will be able to see in more detail each of the steps needed to solve the problem. Please note that Mathway may charge you a small fee for this!

## Factorising Quadratic Equations

Are you stuck on a quadratic equation and don't know what to do?

Are you looking for some worksheets on factorising quadratic equations to print out?

Take a look at our support pages on quadratic equations where you will hopefully find what you are looking for.

• Factorising Quadratic Equations Support page
• Factoring Quadratic Equations worksheets
• Algebra Math Games

If you are looking for a fun printable algebra game to play then try out our algebra game page.

You will find a range of algebra games that make learning algebra fun and non-threatening.

The only equipment you need is a scientific calculator, some dice, and a few counters!

## PEMDAS Worksheets

The sheets in this section involve using parentheses and exponents in simple calculations.

There are also lots of worksheets designed to practice and learn about PEMDAS.

Using these worksheets will help your child to:

• know and understand how parentheses works;
• understand how exponents work in simple calculations.
• understand and use PEMDAS to solve a range of problems.
• PEMDAS Problems Worksheets 5th Grade
• 6th Grade Order of Operations

## Interactive Equality Explorer

This interactive equality explorer has been produced by PhET Interactive Simulations at the University of Colorado.

It is a useful tool for exploring different ideas including negative numbers and algebra equations and equality.

Probably the most useful part of the app is to use the 'Solve It' section once you are confident how it works.

You can then select your level of difficulty and start solving some algebraic equations by getting your variables onto one side of the equation and the numerical values on the other, and then multiplying or dividing the equation until you find the value of the required variable.

• Interactive Equality Explorer by PhET

## Expressions and Equations 6th Grade Quiz

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick expressions and equations 6th grade quiz tests your knowledge and skill at generating and calculating expressions, as well as solving equations.

How to Print or Save these sheets 🖶

Need help with printing or saving? Follow these 3 steps to get your worksheets printed perfectly!

• How to Print support

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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## 6th Grade Math Worksheets: Geometry

Geometry worksheets.

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

Sample Grade 6 Geometry Worksheet

## More geometry worksheets

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

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How to Generate an Expression. When we are generating an expression, we are taking a rule and turning it into algebra. Examples. Subtract 6 from n could be written as n - 6. Multiply d by 4 could be written as d x 4 or 4d. Add 5 to p and then double the result is written as (p + 5) x 2 or 2 (p + 5)

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