year 6 maths equations worksheets

Free resource

Algebra worksheets year 6.

Download this FREE Algebra Worksheets pack for Year 6 pupils, from our Independent Recap collection. 

This pack focuses on finding a rule, forming expressions, substitutions and formulae and forming and solving one step equations small steps. Each worksheet includes:

• 4 arithmetic questions for fluency practice.
• 9 consolidation questions.
• 1 challenge question to stretch and extend.
• They are intended to provide opportunities for pupils to independently practise what they’ve been learning, especially when parents aren’t able to support directly or where pupils don’t have access to the tools to complete online learning.

Download your free resource today

To receive this resource and regular emails with more free resources, blog posts and other Third Space Learning updates, enter your details below.

• Job Title * Job title Headteacher Deputy Head Assistant Head Maths Coordinator Secondary SLT Other SLT Year 6 Teacher Year 5 Teacher Year 4 Teacher Year 3 Teacher Year 2 Teacher Year 1 Teacher Secondary Teacher Teaching Assistant Tutor Parent Other
• Name This field is for validation purposes and should be left unchanged.

You can unsubscribe at any time (each email we send will contain an easy way to unsubscribe). To find out more about how we use your data, see our privacy policy .

"Never heard of them? Time to sort your education life out and get invested in the Third Space Learning world!"

Class Teacher

Privacy Overview

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

Worksheets for simplifying expressions

Worksheets for evaluating expressions with variables

Worksheets for writing expressions with variables from verbal expressions

Worksheets for linear inequalities

Key to Algebra Workbooks

Key to Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple language, and examples are easy to follow. Word problems relate algebra to familiar situations, helping students to understand abstract concepts. Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced. Students begin their study of algebra in Books 1-4 using only integers. Books 5-7 introduce rational numbers and expressions. Books 8-10 extend coverage to the real number system.

Solving Equations Practice Questions

Click here for questions, click here for answers.

equation, solve

GCSE Revision Cards

5-a-day Workbooks

Primary Study Cards

Privacy Policy

Terms and Conditions

Corbettmaths © 2012 – 2024

• Home   |  
• About   |  
• Contact Us   |  
• Privacy   |  
• Newsletter   |  
• Shop   |  
• 🔍 Search Site
• Easter Color By Number Sheets
• Printable Easter Dot to Dot
• Easter Worksheets for kids
• Kindergarten
• All Generated Sheets
• Place Value Generated Sheets
• Addition Generated Sheets
• Subtraction Generated Sheets
• Multiplication Generated Sheets
• Division Generated Sheets
• Money Generated Sheets
• Negative Numbers Generated Sheets
• Fraction Generated Sheets
• Place Value Zones
• Number Bonds
• Addition & Subtraction
• Times Tables
• Fraction & Percent Zones
• All Calculators
• Fraction Calculators
• Percent calculators
• Area & Volume Calculators
• Age Calculator
• Height Calculator
• Roman Numeral Calculator
• Coloring Pages
• Fun Math Sheets
• Math Puzzles
• Mental Math Sheets
• Online Times Tables
• Online Addition & Subtraction
• Math Grab Packs
• All Math Quizzes
• 1st Grade Quizzes
• 2nd Grade Quizzes
• 3rd Grade Quizzes
• 4th Grade Quizzes
• 5th Grade Quizzes
• 6th Grade Math Quizzes
• Place Value
• Rounding Numbers
• Comparing Numbers
• Number Lines
• Prime Numbers
• Negative Numbers
• Roman Numerals
• Subtraction
• Add & Subtract
• Multiplication
• Fraction Worksheets
• Learning Fractions
• Fraction Printables
• Percent Worksheets & Help
• All Geometry
• 2d Shapes Worksheets
• 3d Shapes Worksheets
• Shape Properties
• Geometry Cheat Sheets
• Printable Shapes
• Coordinates
• Measurement
• Math Conversion
• Statistics Worksheets
• Bar Graph Worksheets
• Venn Diagrams
• All Word Problems
• Finding all possibilities
• Logic Problems
• Ratio Word Problems
• All UK Maths Sheets
• Year 1 Maths Worksheets
• Year 2 Maths Worksheets
• Year 3 Maths Worksheets
• Year 4 Maths Worksheets
• Year 5 Maths Worksheets
• Year 6 Maths Worksheets
• All AU Maths Sheets
• Kindergarten Maths Australia
• Year 1 Maths Australia
• Year 2 Maths Australia
• Year 3 Maths Australia
• Year 4 Maths Australia
• Year 5 Maths Australia
• Meet the Sallies
• Certificates

Balancing Math Equations Worksheets & Help

Welcome to the Math Salamanders Balancing Math Equations Worksheets. Here you will find a wide range of free printable Worksheets, which will help your child learn how to balance an equation, with the amount on either side of the equal sign being the same value.

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

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

Quicklinks to ...

What is a balanced equation?

• How to Balance a Math Equation

Balancing Math Equations Worksheets

• More related resources
• Balancing Math Equations Learning App

Balancing Math Equations Online Quiz

Balancing math equations.

A balanced equation is an equation where both sides are equal to the same amount.

The answer to the expression on the left side of the equals sign (=) should be equal to the value on the right side of the equals sign.

In an unbalanced equation, either the left hand side of the equation has a greater value than the right hand side, like the example below.

Or the right hand side of the equation has a greater value than the left side, like the example below.

How to balance math equations

When you balance an equation, you make sure that both sides of your equation are equal to the same value.

Balancing equations is a great way to start your algebra journey without having to worry about algebraic expressions or letters.

Much of what you learn when you are balancing equations, you will need to draw on when you are doing algebra and solving equations.

How to balance a mathematical statement

Step 1) Find the value of the side of the equation without any missing numbers.

Step 2) Make sure the value on the other side of the equation is equal to this value.

Example 1) 7 x ___ = 20 + 8

Step 1) Work out the value on the right hand side: 20 + 8 = 28

Step 2) The value on the left hand side must equal this number: 7 x 4 = 28 so the missing value must be 4.

Answer: the missing value is 4.

Example 2) 5 x 7 = 50 - ___

Step 1) Work out the value on the left hand side: 5 x 7 = 35

Step 2) The value on the right hand side must equal this number: 50 - 15 = 35 so the missing value must be 15.

Answer: the missing value is 15.

Balancing Math Equations Worksheets 3rd Grade

The first worksheet is the most basic, with only a single value on the right hand side.

The 2nd worksheet involves addition and subtraction only.

The 3rd and 4th worksheets are more challenging and include multiplication and larger numbers.

• Balancing Equations Sheet 3a
• PDF version
• Balancing Equations Sheet 3b
• Balancing Equations Sheet 3c
• Balancing Equations Sheet 3d

Balancing Math Equations Worksheets 4th Grade

These worksheets get progressively trickier: the first sheet involves +, - and x only.

The second sheet includes division, and the 3rd sheet involves harder values.

The 4th sheet involves balancing fraction expressions.

• Balancing Equations Sheet 4a
• Balancing Equations Sheet 4b
• Balancing Equations Sheet 4c
• Balancing Equations Sheet 4d

Balancing Math Equations Worksheets 5th Grade

All the worksheets in the 5th grade section involve balancing decimal equations.

The 1st sheet only involves addition and subtraction.

The 2nd sheet involves multiplication as well as addition and subtraction.

The 3rd sheet involves using all 4 operations.

• Balancing Equations Sheet 5a
• Balancing Equations Sheet 5b
• Balancing Equations Sheet 5c

Balanacing Equations Sheet 4A Walkthrough Video

This short video walkthrough shows the problems from our Balancing Equations Sheet 4A 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, check out the video!

More Recommended Math Worksheets

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

Inequalities, Multiples and Factors

If you are looking for some more pre-algebra worksheets based around inequalities, multiples or factors, then take a look at this page.

The questions on this page are aimed at a 4th grade level.

• Factors and Multiples Worksheet
• PEMDAS Problems 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.
• Basic Algebra Worksheets

If you are looking for some basic 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 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.
• 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!

Interactive Balancing Activity

Take a look at this Balancing Act app produced by PhET.

This a great activity to use for developing an understanding of where objects need to be put along a plank to make it balance.

The closer the object is to the center of the plank, the less the downward force on the plank will be.

The further the object is from the center of the plank, the greater the downward force on the plank will be.

• Balancing Act app produced by PhET

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 quiz tests your skill at balancing a range of equations. It is aimed at 4th and 5th graders.

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

Subscribe to Math Salamanders News

Sign up for our newsletter to get free math support delivered to your inbox each month. Plus, get a seasonal math grab pack included for free!

• Newsletter Signup

Return from Balancing Math Equations to Math Salamanders Homepage

Math-Salamanders.com

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.

New! Comments

TOP OF PAGE

© 2010-2024 Math Salamanders Limited. All Rights Reserved.

• Privacy Policy
• Copyright Policy

How to help at home

You don’t need to be an expert to support your child with maths or help them develop a good sense of number! Here are three simple, but effective learning ideas that you can try with your child using everyday items at home.  

1. Look for large numbers

Talk about large numbers in the real world, such as house prices, electricity meter readings or football transfer values. When you see big numbers, ask your child to read them aloud. Can they write large numbers accurately if you say them?

2. Rewrite the recipe book

Cooking is a great way to explore ratio and proportion. Try adjusting recipes to make different quantities. For example, ask your child: ‘A recipe uses 240 g of oats to make 18 flapjacks. What quantity of oats is needed for 24 flapjacks?’.

3. Find an average

Explore the ‘mean’ average in real life. Find a football team’s mean number of goals per match by adding all the goals scored and dividing the total by the number of matches played. Or find the mean number of minutes the school run takes over a week.

You’ll find more activity ideas in our Kids’ activities section

What your child will learn at school

Number & place value in year 6 (age 10–11).

In Year 6, children will be expected to read, write, order, compare and round numbers up to 10,000,000 and begin to learn about algebra, ratio and proportion. This includes:

• using number lines to add and subtract negative numbers
• using simple formulae and following rules such as 2n + 3 to find numbers in a sequence
• solving problems involving place value, ratio, scale factors, and equations expressed

More information and activity ideas for Year 6

Addition & subtraction in Year 6 (age 10–11)

In Year 6, children will be expected to be able to solve problems, including multi-step word problems, involving adding, taking away, multiplying and dividing with large numbers. This includes:

• choosing efficient methods to solve problems and checking their answer using a different method
• exploring the order of operations using brackets
• rounding answers to a specified degree of accuracy, for example, to the nearest 10, 20, 50, and so on.

Multiplication & division in Year 6 (age 10–11)

In Year 6, children will be expected to be able to multiply and divide with large numbers using formal written methods including long division. This includes:

• multiplying four-digit numbers by two-digit numbers using long multiplication
• dividing four-digit numbers by two-digit numbers using long division
• solving multi-step problems using addition, subtraction, multiplication and division choosing which methods to use and explaining why.

Fractions, decimals & percentages in Year 6 (age 10–11)

In Year 6, children will be expected to be able to calculate and solve problems using fractions, decimals and percentages. This includes:

• using common factors to simplify fractions
• multiplying pairs of fractions and dividing fractions by whole numbers
• multiplying one-digit numbers with up to two decimal places by whole numbers, for example 1.25 x 2.

Geometry in Year 6 (age 10–11)

In Year 6, children will be expected to be able to solve problems by calculating and converting measurements with up to 3 decimal places, including between miles and kilometres. This includes:

• working out areas of shapes including triangles and parallelograms
• working out volumes of cubes and cuboids
• knowing and using a formula to work out areas and volumes of some shapes.

Measurement in Year 6 (age 10–11)

Statistics in year 6 (age 10–11).

In Year 6, children will interpret and present discrete and continuous data in a range of ways. This includes:

• connecting work on angles, circles, fractions, and percentages to make and interpret pie charts
• solving problems by interpreting and making line graphs
• calculating and interpreting mean averages.

Ratio and proportion in Year 6 (age 10–11)

In Year 6, your child will begin to learn about ratio and proportion. This includes:

• solving ratio problems using their knowledge of multiplication and division
• using their knowledge of percentages and the fact that the number of degrees in a circle is 360° to calculate angles of pie charts
• solving problems involving unequal sharing and grouping using their knowledge of fractions and multiples.

Algebra in Year 6 (age 10–11)

In Year 6, your child will begin to learn about algebra. This includes:

• using simple formulae to solve problems
• generating and describing linear number sequences
• using letters to represent unknown numbers when solving number problems.
• Age 3–4 (Early Years)
• Age 4–5 (Reception)
• Age 5–6 (Year 1)
• Age 6–7 (Year 2)
• Age 7–8 (Year 3)
• Age 8–9 (Year 4)
• Age 9–10 (Year 5)
• Age 10–11 (Year 6)
• Year 1 (age 5–6)
• Year 2 (age 6–7)
• Year 3 (age 7–8)
• Year 4 (age 8–9)
• Year 5 (age 9–10)
• Year 6 (age 10–11)
• Help with times tables
• Ratio & proportion
• Learning to tell the time
• Numicon parent guide
• MyMaths parent guide
• Maths activity books

Visual maths worksheets, each maths worksheet is differentiated and visual.

Year 6 Algebra and Statistics Worksheets

Year 6 Maths Worksheets / Year 6 Algebra and Statistics Worksheets

Our year 6 algebra and statistics worksheets are an effective way for students to learn and practice basic arithmetic operations, interpret graphical representations, draw pie charts, and use logical reasoning to solve problems. All Cazoom Maths PDF printable worksheets are designed following the UK curriculum and present a critical foundation for future more complex topics such as descriptive statistics, probability theory and graph theory. With the help of these worksheets, students can better comprehend the subjects they are learning and prepare for upcoming math difficulties.

Start your free trial and access over 500 KS1 and KS2 Maths worksheets today!

📝 NEW NATIONAL NUMERACY DAY WORKSHEETS ADDED - CLICK HERE TO DOWNLOAD NOW ✅

Thank you for submitting the form

Get 20 FREE MATHS WORKSHEETS

Fill out the form below to get 20 FREE maths worksheets!

Year 6 Maths Worksheets

Year 6 maths worksheets cover topics like place values, rounding numbers, negative numbers, multiplication and division of decimals, order of operations, fractions, estimations, percentages, scale factors, missing numbers, measurement conversion, area, triangle, parallelogram, volumes of cubes, angles, etc. Practicing these thoroughly assures better grades for year 6 students.

Year 6 maths worksheets provide problems from easy to moderate to difficult levels. This helps students to build a strong foundation to enter higher grades.

Year 6 Maths Worksheets PDFs

These year 6 maths worksheets are curated by experts in such a way that they have different types of questions such as MCQs, objective, descriptive questions, etc., to provide the overall experience in the topic. Also, visuals are provided wherever they are required for better understanding.

Benefits of Year 6 Maths Worksheets

Year 6 maths worksheets are useful in building conceptual knowledge of all the year 6 maths curriculum concepts. Practicing more questions on each topic will make a student perfect. Further, they can also check the final answers by comparing them with the answer key given in the worksheet at the end. This builds confidence in them and also allows them to correct their mistakes. This definitely results in the improvement of their grades.

How to Use Year 6 Maths Worksheets?

Using year 6 maths worksheets is as simple as a click. Here are the steps to use them.

• Choose the topic on which you want the worksheets.
• Click on the topic from the above list.
• Then a page will be opened with multiple worksheets in it.
• It is suggested to work on them from the first worksheet onwards in order to experience the increased difficulty levels.

FAQs on Year 6 Maths Worksheets

What are year 6 maths worksheets.

Year 6 maths worksheets are the practice sheets that contain various types/levels of problems from all the concepts of the year 6 maths curriculum. By practicing these end to end, one can improve their grades.

Do Year 6 Maths Worksheets Help in Developing Skills?

Yes, definitely. Year 6 maths worksheets involve visuals, concept-based questions, interactive questions, etc. All these drive the students towards solving more questions and make them conceptually strong.

Is it Easy to Use Year 6 Maths Worksheets?

Yes, it is very easy. On this page, a table of links is provided. Each link here takes us to a page where we can find all the relevant worksheets. These worksheets can be downloaded with a single click.

Is Solution Manual Provided for Year 6 Maths Worksheets?

Yes, at the end of each worksheet, the answers are given. The students are suggested to check their answers after they work on the questions and improve their accuracy.

Is it Necessary to Use Year 6 Maths Worksheets?

Yes, it is necessary. Solving the worksheets after the concept is understood is full-fledged preparation. Then only the students will be able to face the questions that are asked in their school exams.