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Understanding Rates in Math: Comparisons and Applications

UK Year 6 Maths: Master Key Skills for KS2 Success

Understanding Numbers

Place Value

Place value

Comparing and ordering numbers

Comparing Integers

Comparing Numbers

Comparing Fractions

Rounding Numbers

Rounding Decimals

Rounding Integers — Up to 9999

Number Theory

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Prime Factors

Number properties: Prime or Composite

Number properties: Prime?

Prime factors – Word Problem

Divisibility Rules

Divisibility

Determining Common Factors

Common Factors — Word problem: bouquet

Common Factors — Word problem: party

Common Factors

Factors

Determining Common Multiples

Common Multiples — Word problem: meals

Common Multiples — Word problem: watches

Multiples

Lowest Common Multiple - 2 Numbers – Word Problem

Lowest Common Multiple 2 Numbers

Introduction to Exponents

Expanded powers

Exponents — Express as a power of 10

Exponents — Word problem: express as a power

Exponents — Express as a power of two — Whole number

Adding and Subtracting Integers

Introduction to integer addition

Adding 1-digit integers

Opposite Integers — Up to 10

Adding integers

Adding 2-digit integers

Introduction to integer subtraction 

Integer Subtraction — Missing Value

Subtracting 1-digit integers

Subtracting integers

Subtracting 2-digit integers

Applications of integer operations

Application of Integer Operations – Word Problem

Application of Integer Operations  – Word Problem

Multiplying and Dividing Integers

Understanding integer multiplication

Multiplying 1-digit Integers

Multiplying 1-digit integers Mixed Sign

Multiplying integers

Multiplying 2-Digit Integers

Multiplying 1 and 2 Digit Integers

Understanding integer division

Dividing by 1-Digit Integers

Dividing by 1-Digit Integers Mixed Sign

Dividing integers

Dividing by 2-Digit Integers

Dividing by 2-Digit Integers Mixed Sign

Multiple Integer Operations

Three Step Integer Operations Combined Multiply Divid

Three Step Integer Operations Divide Add Or Minus Multiply

Three Step Integer Operations Divide Add Or Minus

Three Step Integer Operations Multiply Add Minus Divide

Three Step Integer Operations Multiply Add Or Minus

Operations with Decimals

Adding and subtracting decimal numbers

Subtracting Decimals — Data Table

Ordering Decimals — Data Table

Decimals – Word Problem

Adding Decimals

Subtracting Decimals

Multiplying decimal numbers

Multiplying Decimals

Dividing decimal numbers

Dividing Decimals

Order of operations (BIDMAS)

Mixed Operations with Decimals

Mixed Operations

Identify the Order of Operations

Order of Operations — Word Problem

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Adding and Subtracting Fractions

Using model to add and subtract fractions

Add Fractions With Models

Subtract Fractions With Models

Adding fractions with like denominators

Adding Fractions — with like denominators — 3-digit without simplifying

Adding Fractions — with like denominators — 3-digit

Adding Fractions — Word problem: baking

Add fractions with like denominator

Adding Fractions — with like denominators — 1-digit

Adding Fractions — with like denominators — 2-digit

Adding Fractions — Word problem: beads

Subtracting fractions with like denominators

Subtract fractions with like denominator

Subtracting Fractions — with like denominators — 2-digit

Subtracting Fractions — with like denominators — Larger 2-digit

Subtracting Fractions — with like denominators — 3 digit

Subtracting fractions — Word problem: competition

Subtracting fractions — Word problem: snack

Adding and subtracting fractions with unlike denominators

Adding and Subtracting Fractions — Find the lowest common denominator (LCD)

Adding and Subtracting Fractions — Find the LCD and evaluate

Add fractions with unlike denominator

Subtract fractions with unlike denominator

Adding and Subtracting Fractions — Word problem: cargo ship

Adding Fractions — with unlike denominators

Subtracting Fractions — with unlike denominators

Adding and subtracting mixed numbers

Adding Mixed Numbers — Word Problem

Subtracting Mixed Numbers — Word Problem

Add mixed fractions with like denominator

Add mixed fractions with unlike denominator

Multiplying and Dividing Fractions

Multiplying fractions and whole numbers

Multiply a fraction with a whole number

Multiplying Fractions — with whole numbers — 1 digit

Multiplying Fractions — with whole numbers — 2 digits

Application of Multiplying Fractions and Whole Numbers – Word Problems

Dividing fractions with whole numbers

Divide a fraction by a whole number

Divide a Fraction by a Whole Number

Divide a Fraction by a Whole Number Number RHS

Multiplying proper fractions

Multiply Proper Fractions — 1 Digit Fractions

Multiplying improper fractions and mixed numbers

Multiply Mixed Numbers

Dividing fractions and mixed numbers

Divide Fractions and Mixed Numbers – Word Problem

Dividing Mixed numbers

Dividing Mixed Numbers

Applications of fraction operations

Fraction Operations

Rates and Ratios

Ratios

Ratios - Find The Missing Value LHS

Ratios - Find The Missing Value RHS

Equivalent Ratios

Rates

Find the Biggest Rate 

Find the Unit Price 

Unit Rate Fill in Box

Find the Quickest Rate 

Unit Rate

Rates with fractions

Applications of ratios

Percents

Percent of a number

Percent of a Number

percent of a number – Word Problem

Percent of a Number  Fraction Percent

Percent of a Number Integer Percent 

Percent of a number number With Decimal Percent 

Percent of a Number  Three Digits Number Percent

Representing percents

Converting among fractions, decimals, and percents

Conversion — Decimal to Fraction

Conversion — Decimal to Percent

Conversion — Fraction to Decimal

Conversion — Fraction to Percent

Conversion — Percent to Decimal

Conversion — Percent to Fraction

Get better maths marks with our complete Year 6 maths help, whether it&apos;s for <a href="https://www.gov.uk/government/publications/national-curriculum-in-england-mathematics-programmes-of-study">National curriculum in England</a> (Key stage 2), <a href="http://learning.gov.wales/resources/browse-all/mathsnc/?lang=en">National curriculum in Wales</a> (Key stage 2), or reviewing for <a href="https://www.gov.uk/government/collections/national-curriculum-assessments-key-stage-2-tests">Year 6 maths SAT</a> (National Curriculum Maths test). We&apos;ve got you all covered!

Keeping with your class or textbook, our thorough help for year 6 maths help includes topics such as Adding and Subtracting Fractions, Surface area and Volume, Integers, Coordinates, Symmetry, Circles, and more. Learn the concepts with our video tutorials that show you step-by-step solutions to even the hardest year 6 maths questions. Then, strengthen your understanding with tons of year 6 maths practice. 

All our lessons are taught by experienced Year 6 maths teachers. Let&apos;s finish your homework in no time, and ACE that final.

Year 6 Maths

math

<h2>What is Key Stage 2 Maths?</h2>
Key stage 2 maths is the term given for the 4 years you spend learning maths in primary school. It covers the maths taught in years 3, 4, 5 and 6. Typically, students who study key stage 2 (KS2) maths are between the ages of 7 and 11.
Towards the end of KS2, year 6 students will sit national curriculum maths tests known as SATs (Standard Assessment Test). Unlike the tests throughout the year, these will be marked externally and the results are published in cthe <a href="https://www.gov.uk/government/organisations/department-for-education">Department for Education</a> performance tables.
The structure of KS2 maths will be the same across all schools in the UK, as they all follow the same national curriculum. The aim of KS2 maths is to develop your understanding of the basics within arithmetic and reasoning, preparing you for future study at secondary school.
In <a href="[[region_textbook.html|{"textbook_key":"uk-year6"}]]">Year 6,</a> your KS2 maths classes will cover the following:
<ul type="disc">
<li>Adding and subtracting fractions</li>
<li>Multiplying and dividing fractions</li>
<li>Long multiplication</li>
<li>Place value</li>
<li>Rotational symmetry</li>
<li>Multiplying and dividing decimals</li>
<li>Common factors</li>
<li>Surface area and volume of prisms</li>
<li>And more</li>
</ul>
If that sounds like a lot, don&apos;t worry! <a href="[[region_textbook.html|{"textbook_key":"uk-year6"}]]">StudyPug</a> covers each of these topics and we&apos;ve broken them down into easy to follow video lessons that provide simple explanations to even the trickiest year 6 maths questions.
Our experienced tutors have crafted the year 6 content to meet your KS2 maths curriculum. The videos cover all of the same topics you&apos;d expect to cover in class, and we also make sure that our videos cover the content found in modern maths textbooks like <a href="https://www.galorepark.co.uk/Product/9781471829369.aspx">Mathematics Year 6</a> by Galore Park and <a href="http://www.pearsonschoolsandfecolleges.co.uk/Primary/Mathematics/CompleteSchemes/Abacus/ISBN/UpperKeyStage2/AbacusYear6Textbook3.aspx">Abacus Year 6 Textbook 3</a>.
Many of our students prefer the video format over traditional textbook revision. They find it more engaging and user friendly with tutors that are able to break difficult maths problems into plain english.

<h2>How Many Maths Tests Within Year 6 SATs?</h2>
In your KS2 SATs, you will sit a total of 3 maths papers. The 1st paper will be a 30 minute arithmetic paper. Papers 2 and 3 will both be focused on reasoning, and you&apos;ll have 40 minutes per paper.
The questions in Paper 1 will be made up of fixed response questions. This means that you&apos;ll need to work out the answers to various calculations, such as division and long multiplications.
The second and third paper will be slightly different. These papers will involve different forms of questioning in which you may be asked true or false questions as well as multiple choice questions. You will still have questions that require you to answer calculations and you can expect questions that will ask you to draw specific shapes or to complete a chart/table.
You should also expect to face questions that require you to explain how you would approach a problem and find the solution. This tests your reasoning and assesses your mathematical understanding beyond memorization.

<h2>How Can I Pass Year 6 Maths?</h2>
The best way to secure a pass in year 6 maths is to pay attention in class. As we&apos;ll explore below, the end of year tests will assess your learning, so if you don't listen in class, you won't learn, and you may end up failing. Additionally, listen to your teacher and try your best to avoid distractions like smartphones and your friends.
If you&apos;re having trouble in class or find that you don&apos;t understand something, ask your teacher for help. There&apos;s absolutely nothing wrong with taking ownership of your learning, so don&apos;t be embarrassed! There&apos;s a good chance that your classmates are just as confused as you are. Don&apos;t wait for them to ask the question though. Asking for help will greatly benefit your learning and in turn will help you in your exams too.
To successfully pass your year 6 SATs, you&apos;ll have to be able to confidently show the examiners that you possess strong mathematical reasoning abilities. This means that you can evaluate problems and are able to find the most effective way to solve them.
They&apos;re essentially testing you to see what you&apos;ve learnt whilst at school. Beyond the right answers, examiners want to see your working out and will be more interested in how you arrived at the answers. Your working out and showing your thought process will allow them to assess your understanding of the problem.
To improve your chances of passing, you should be taking notes in class and assessing where your strengths and weaknesses lie. Outside of the class notes, you can use online maths quizzes, and past KS2 SATs papers to test your knowledge.
When sitting these past papers, try your best to work within the time constraints of each paper. This will help you manage your time more effectively in your real exams. If you struggle with a question, move on and get to it later. You don&apos;t want to run out of time and miss questions you could have answered.

<h2>Is Year 6 Maths Hard?</h2>
You may find certain aspects of year 6 maths to be a bit challenging at times. This is to be expected though as you&apos;ll be introduced to new areas of maths. The skills and knowledge learned here will better prepare you for further study at secondary school. Many students across the UK find this transition a little difficult. Understandably, it seems like a daunting prospect, but if you have a firm grasp on the basics, you shouldn&apos;t find it too difficult.
If you do come out of class feeling confused, or perhaps you&apos;ve missed a lesson or two, jump online and watch our online maths revision videos. We have a video for every topic within KS2 maths, and our step-by-step examples explain everything in plain English, which makes learning maths less stressful and more enjoyable.
To help get you started on your year 6 maths quest, we have provided a selection of free lessons that cover ratios, fractions, angles, and more. You can find our free lessons within the topics section of this page.

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