maths homework ideas year 6

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Year 6 Maths Worksheets UK Hub Page

Welcome to our Year 6 Maths Worksheets area.

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

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

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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.

Year 6 Maths Learning

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

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

Please note:

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

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

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

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

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

Quicklinks to Year 6 ...

• Place Value Zone
• Mental Math Zone

Word Problems Zone

Fractions percents ratio zone.

• Percentages Zone
• Measurement Zone

Geometry Zone

Data analysis zone.

• Fun Zone: games and puzzles

Coronavirus Stay At Home Support

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

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

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

They are completely FREE - take a look!

• Free Maths Grabs Packs

Place Value & Number Sense Zone

Year 6 number worksheets.

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

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

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

Ordering Large Numbers and Decimals to 3dp

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

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

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

Rounding Decimals

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

Year 6 Decimal Counting Worksheets

Using these sheets will support you child to:

• count on and back by multiples of 0.1;
• fill in the missing numbers in sequences;
• count on and back into negative numbers.
• Counting By Decimals

Year 6 Mental Maths Zone

Each worksheet tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math quiz!

• Year 6 Mental Maths Tests

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Year 6 Addition Worksheets

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

Year 6 Subtraction Worksheets

Using these sheets will help your child to:

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

Year 6 Multiplication Worksheets

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

Division Worksheets 5th Grade

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

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

Year 6 Maths Problems

• apply their addition, subtraction, multiplication and division skills;
• apply their knowledge of rounding and place value;
• solve a range of problems including "real life" problems and ratio problems.

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

• Year 6 Math Problems (5th Grade)

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

• Year 6 Math Word Problems (5th Grade)

These sheets involve solving a range of ratio problems.

Year 6 Fraction Worksheets

Year 6 percentage worksheets, year 6 ratio worksheets.

• compare and order fractions;
• add and subtract fractions and mixed numbers;
• understand how to multiply fractions by a whole number;
• understand how to multiply two fractions together, including mixed fractions;
• understand the relationship between fractions and division;
• know how to divide fractions and mixed fractions;
• convert decimals to fractions.
• Comparing Fractions Worksheet page
• Adding Fractions Worksheets
• Adding Improper Fractions
• Subtracting Fractions Worksheets
• Adding Subtracting Fractions Worksheets
• Improper Fraction Worksheets
• Converting Decimals to Fractions Worksheets
• Fractions Decimals Percents Worksheets
• Multiplying Fractions Worksheets
• Dividing Fractions by Whole numbers
• Divide Whole numbers by Fractions
• Simplifying Fractions Worksheets
• Free Printable Fraction Riddles (harder)

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

We have a range of percentage sheets from quite a basic level to much harder.

• Percentage of Numbers Worksheets
• Money Percentage Worksheets
• Percentage Word Problems

These Year 6 Ratio worksheets are a great way to introduce this concept.

We have a range of part to part ratio worksheets and slightly harder problem solving worksheets.

• Ratio Part to Part Worksheets
• Ratio and Proportion Worksheets

Year 6 Geometry Worksheets

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

Measurement Zone, including Time & Money

Year 6 measurement worksheets.

Using these sheets will help your child understand how to:

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

Time Puzzles - harder

Here you will find our selection of harder time puzzles.

• Time Word Problems Worksheets - Riddles (harder)

Using these sheets will help you to:

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

Fun Zone: Puzzles, Games and Riddles

Year 6 maths games.

• Year 6 Math Games (5th Grade)

Year 6 Maths Puzzles

The puzzles will help your child practice and apply their addition, subtraction, multiplication and division facts as well as developing their thinking and reasoning skills in a fun and engaging way.

• Printable Math Puzzles

Math Salamanders Year 6 Maths Games Ebook

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

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

• Year 6 Maths Games Ebook

Other UK Maths Worksheet pages

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

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Welcome to the Year 6 Mini-Maths homepage. Daily maths questions for Year 6 are available for every week of the year, providing free help for teachers, pupils and parents. 1000s of free tasks and activities are available to support children in their learning both in the classroom and at home. Use the search and filter box below to easily find the outcomes you require.

It is recommended that a topic is selected per week and daily maths tasks accessed using the links provided below. Use each day’s answers to help identify and guide the required support in preparation for the following day’s task. Watch your understanding, application and confidence grow throughout the week. New resources are always being added, so keep checking for updates.

More about Year 6 Maths Questions …

The Year 6 curriculum completes the Key Stage 2 maths programme of learning bringing understanding and confidence together from Year 3 through to the end of Year 6. This journey culminates in the KS2 SATs assessments where learners are able to demonstrate their progress and development in the subject.

Year 6 NUMBER …

The four operations reach a natural conclusion in Year 6 – addition, subtraction, multiplication and division involve more complex examples before introducing decimals values . Learners are looking to extend their understanding of units, tens, hundreds, thousands, etc, with the Place value of digits in decimal places, supporting the wider curriculum such as calculating decimal remainders using short division.

Year 6 SHAPE …

Learners have been developing a sound understanding of 2D shape and 3D shape allowing them to sort and classify by their properties. Being able to identify and use these properties also improves an awareness of a shape’s area and perimeter or volume .

Year 6 DATA …

Year 5 offers further coverage of tables, charts and graphs, where learners are expected to both read and interpret information in all types of graphs and charts including pie charts . Drawing graphs and charts from given data is also introduced in Year 6 maths.

All learning objectives are supported by a Home Learning pack and iQ mastery questions challenge learners’ understanding, application and confidence. The Home Learning packs provide first class opportunities for effective intervention and an ever growing library of help videos for Year 6 maths is available on the MyMiniMaths YouTube channel in support of quality learning.

Year 6 SATs …

MyMiniMaths also offers specialised support for Year 6 SATs with a programme of practice KS2 SATs papers for the arithmetic paper . Easy identification of key skills in need of further support to maximise attainment is available through the Arithmetic Target Questions .

Subtraction Strategies

Get your class using and applying their maths skills in this world-focused subtraction scheme of work. Your class will find out about the world and...

Calculating Compound Shapes

Discover how to work out the area, perimeter and volume of a variety of 2D compound shapes and 3D cuboid shapes in this ready-to-teach Maths scheme...

Parts and Proportion

Teach children how to compare fractions and ratios, and how to solve real-life problems involving proportion and scaling.   #TheCompleteSeries5less...

Practising Multiplication and Division

This fun ‘Practising Multiplication and Division’ scheme of work for Year 6 will not only remind them how to solve multiplication and division calc...

Using Money

Develop a variety of strategies for quickly adding, subtracting, multiplying and dividing money.   #TheCompleteSeries5lessons Help your children be...

Mental Methods

This helpful ‘Mental Maths’ scheme of work for Year 6 will really help their mental arithmetic skills to soar as they explore how to use the unders...

Calculators

Challenge your children to think about ways in which calculators can be used to help with complex calculations, and consider the actual maths that'...

Solving Data Problems

Get technical with your class as they learn how to read, interpret and construct a variety of charts and graphs. This ‘Solving Data Problems’ schem...

Working with Numbers

This Year 6 'Working with Numbers' scheme of work will enable your class to become much more confident in working with numbers in a range of contex...

Calculating Fractions and Decimals

This Year 6 ‘Calculating Fractions and Decimals’ scheme of work provides five complete lessons which will help your class develop their understandi...

Grids and Coordinates

Remind your children of the features of coordinate grids as well as how to plot, read and interpret coordinates. Get them drawing shapes by plottin...

Parts and Percentages

Teach children how to calculate ratio and solve proportions problems, and explain how to calculate, increase and decrease percentages, too.   #TheC...

Mental Multiplication and Division

It’s time to build up those maths muscles! These five lessons focus on building your children’s abilities to manipulate numbers with confidence and...

This Measures Year 6 Maths planning pack will refresh and extend your class's knowledge and understanding of the relationship between a variety of ...

Mean, Mode and Median

Teach your class to be dynamic data handlers! These lessons build on your children’s growing knowledge of charts, graphs and interpreting data by r...

Using Subtraction and Addition

Build up children's speed, accuracy and confidence as they practise solving addition and subtraction calculations using a variety of mental and wri...

Difficult Division

This Difficult Division Year 6 planning pack teaches your KS2 children how to solve and check division calculations using a number of written metho...

Time and Money

If you're looking for Year 6 time problems and money calculations, you've come to the right place! Our Time and Money KS2 planning pack has five re...

Comparing and Ordering Numbers

This Year 6 'Comparing and Ordering Numbers' series of lessons is jammed packed full of exciting ways to teach your class about eight-digit numbers...

Ratio, Percentages and Proportion

Develop a variety of strategies for visualising and solving ratio, percentage and proportion word problems and missing number problems.   #TheCompl...

Fractions, Decimals and Percentages

There’s a load of learning packed into these lessons, where children will develop the skills they need to become masters of manipulation – when it ...

Give your class an introduction to algebra that equips them with the knowledge and skills to begin to understand and use algebraic equations.   #Th...

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Problem-solving maths investigations for year 6.

Hamilton provide an extensive suite of problem-solving maths investigations for Year 6 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor – high ceiling' activities for all.

Explore all our in-depth problem solving investigations for Year 6 .

Use problem-solving investigations within every unit to encourage children to develop and exercise their ability to reason mathematically and think creatively.

Investigations provide challenges that offer opportunities for the development of the key mathematical skills while deepening conceptual understanding. They are designed to be accessible in different ways to all children. An added bonus is the substantial amount of extra calculation practice they often incorporate! The problems are designed to help children identify patterns, to explore lines of thinking and to reason and communicate about properties of numbers, shapes and measures.

Hamilton provide a mix of our own specially commissioned investigations, that include guidance for teachers together with a child-friendly sheet to guide your pupils through the investigation, as well as links to investigations on other highly regarded websites.

I am very grateful for Hamilton Trust resources, particularly the maths investigations. Julia, teacher in Wiltshire

You can find Hamilton's investigations for Year 6:

• Individually, they are incorporated into every unit in our Year 6 flexible maths blocks .
• Collectively, they appear on our resources page where you can explore all our in-depth problem solving investigations for Year 6 .

Do read our extensive range of advice for more information about the investigations and for tips on how to use them effectively.

Hamilton’s problem-solving investigations are 'low floor, high ceiling' activities that give all children opportunities to develop mastery and mathematical meta-skills. Explore a set for a whole year group.

Hamilton’s Problem-solving Investigations provide school-wide solutions to the challenges of building investigative skills from Early Years to Year 6.

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Year 6 Maths Curriculum: Home Learning Toolkit for 10 & 11 Year Olds

Ellie Williams

Year 6 maths is harder than you might think; and it’s testament to the strength and resilience of children and their primary school class teachers that by the end of the year these 10 and 11 year old children are ready to sit 3 exams in the subject – 2 reasoning and 1 arithmetic SATs paper.

Here at Third Space Learning we’ve been supporting 10 and 11 year old children with maths tuition from the Year 6 maths national curriculum for several years. This article aims to provide UK parents of 10 and 11 year olds with everything they need to support their child with Year 6 maths at home: advice, helpful hints and links to resources and all our free Year 6 maths worksheets and a Year 6 maths test .

Whatever the primary maths scheme of work your school uses ( White Rose maths is a popular one you may have heard of) Year 6 children across the country will broadly be expected to learn the same knowledge and skills by the end of their Year 6 maths lessons.

Even in an ordinary year, with exams looming and pressure mounting, this period can often feel overwhelming to young minds. Combine this with worries over what the approaching move to secondary school will bring and Year 6 can be a challenging time for all – parents included!

But don’t fear, we’re here to take some of that ever-increasing load off and show you the best (and simplest!) ways to help your 10-year-old or your 11-year old with Year 6 maths at home.

What the Year 6 Maths curriculum says

Topics in the year 6 maths programme of study, understanding the changes from year 5 maths to year 6 maths, number and place value in year 6 maths, addition, subtraction, multiplication and division in year 6 maths, fractions including decimals and percentages in year 6 maths, ratio and proportion in year 6 maths, algebra in year 6 maths, measurement in year 6 maths, geometry (properties of shape; position and direction) in year 6 maths, statistics in year 6 maths, year 6 maths…sats, sats, sats…, how to answer sats reasoning questions, also in this series….

The principal focus of mathematics teaching in upper key stage 2, especially Year 6 is to ensure that pupils extend their understanding of the number system and place value to include larger integers – numbers up to 10 million. This should develop the connections that pupils make between multiplication and division with fractions, decimals, percentages and ratio. 

At this stage, pupils should develop their ability to solve a wider range of problems, including increasingly complex properties of numbers and arithmetic, and problems demanding efficient written and mental methods of calculation. 

With this basis in arithmetic, pupils are introduced to the language of algebra as a means for solving a variety of problems. 

Teaching in geometry and measures should build on and extend knowledge developed in number. Teaching should also ensure that pupils classify shapes with increasingly complex geometric properties and that they learn the mathematical vocabulary they need to describe them. 

By the end of year 6, pupils should be fluent in written methods for all four operations, including long multiplication and division, and in working with fractions, decimals and percentages. 

Pupils should read, spell and pronounce all their mathematical terms correctly.

• Number and place value
• Addition, subtraction, multiplication and division
• Fractions including decimals and percentages
• Ratio & proportion
• Measurement
• Geometry (properties of shapes)
• Geometry (position and direction)

You do not need to worry too much about the detail of what is being taught in each of these topics, but the following guidance will help you help your Year 6 with any of their maths homework and give you a sense of what the questions are asking for.

The entire Year 6 maths curriculum is available from gov.uk .

It’s important to note that some Year 6 maths topics are more suitable than others for working on at home. We’ve highlighted below the ones we think you should probably leave to teachers unless you’re very confident in the approach the school is taking to this topic.

Free Year 6 Maths Worksheets and Tests

A collection of free Year 6 maths activities and worksheets from the Third Space Maths Hub. You need to register to download (but it's free). Use Google Chrome.

The good news is that the curriculum is fairly stable by Year 6!

This means that questions such as:

What does my child most need help with?

What are they best at in maths lessons?

Is there anything that I can do to help?

will all have be answered and your child can begin to focus on the two big live events in year 6: the KS2 SATs in May and the upcoming transition from primary to secondary school and the start of quite different Year 7 maths .

Although there are a couple of new ideas that come into play, they aren’t too tricky compared to the Year 5 programme of study.

This year is essentially a consolidation of all the skills your child has learnt in primary school, preparing them for a successful experience in secondary maths lessons, as well as later on in life!

The key is to balance the revision of the basics with the consistent practice of newer concepts, cultivating a mindful approach to exams along the way.

If your Year 6 ever finds maths overwhelming, just take a break from the school work and try to come at it from a different angle. Maths games are brilliant for such times. We’ve got several articles sharing all our best fun maths games , including KS2 maths games , KS1 maths games and KS3 maths games for all maths topics and a set of 35 times tables games you’ll want to bookmark whichever year group you teach!

In Year 6 number and place value simply extends the learning earlier down in the school. Numbers get bigger – from two-digit numbers all the way up to 10 million and smaller – to thousandths of a decimal place; children are expected to be confident both in saying them out loud and in writing them down.

This is something you can practise with your child when you see numbers in the newspapers or even trying to read out part of a phone number or an electricity meter – it’s not as easy as it looks!

One of the best tools for securing the concept of place value is this place value grid which is a cinch to make at home. Or you can try out these place value games and activities .

In Year 6 maths the four operations – addition, subtraction, multiplication and division – are taught together rather than in pairs. It is assumed by now that children understand the commutativity principle and that division is the opposite of multiplication and, subtraction is the opposite of addition.

Year 6 children learn about and use common factors, common multiples, and prime numbers as well as indices. You will probably notice that your child’s mental calculations improve quite significantly during and they are able to perform much more complex maths in their heads.

In Year 6 maths BODMAS and the order of operations rears its head so encourage your child to learn the acronym, whether its BODMAS or BIDMAS (I = indices).

One of the greatest challenges in this topic is likely to be Year 6 long division which is why we created this guide for parents and kids on short and long division.

Here’s a snapshot of what’s involved…

Different division questions call for different methods of division to solve them, but here is a quick and easy guide to show which method your child should use and when:

• Chunking is best for smaller numbers and arithmetic.
• Short division is great for dividing larger numbers by one digit numbers.
• The long division method is handy for dividing large numbers by numbers with 2 or more digits.

KS2 fractions can prove a hurdle for many children even in Year 6. This fractions for kids article helps to break down the stages children need to learn fractions and it’s a topic that’s worth devoting some time to.

Talking to your child about their Year 6 fractions work will unleash a world of new mathematical terms and processes such as equivalent fractions, comparing and ordering fractions, and writing fractions in their simplest form.

Simplifying fractions just means that we use the lowest possible numbers when we work them out, using our times tables knowledge and division facts to reduce the size of the denominator and numerator.

In year 6 maths lessons children will also learn subtracting fractions and how to work with mixed numbers and how to multiply fractions with different denominators. There’s a lot to cover, so just support your child to work with what they’re learning.

By the end of Year 6, your child will need to know how to convert fractions into decimals and decimals into percentages.

• Converting fractions into decimals : Divide the numerator by the denominator.
• Converting decimals into percentages : Multiply the decimal by 100. For example, 0.79 would become 79%.
• Converting percentages into decimals : Divide the percentage by 100. So, 87% would become 0.87.
• Converting percentages into fractions : Put the percentage amount over 100 (e.g. 75% = 75/100), then simplify it – in this case ¾ .

For more detailed guidance read this article on comparing  fractions decimals and percentages .

The national curriculum puts percentages of amounts and degrees etc into the topic ratio and proportion in Year 6. This is a challenging topic for parents to help with as it’s so easy to confuse children with a different method from the one they’ve been taught.

We’d suggest just working on some simple Year 6 ratio activities like the two below is probably the best way to approach this topic. Speaking frankly, it doesn’t lend itself so well to home support.

Year 6 Ratio activity: Dealing with discounts while sale shopping

When you’re out shopping practise working out sale discounts.

Work out 10% to begin with, before working your way up to multiples of 10% and 5%.

There’s really no substitute for concrete learning when it comes to these concepts – Year 6 maths becomes a lot easier when you practise it in context!

Year 6 Ratio activity: Baking recipes

Find a recipe that serves a lot of people and ask your child to think about how they can make the recipe the right size for you using division and fraction terminology (“ We’ll need half/a quarter/an eighth of this recipe ”).

An example of a maths question could be:

Last week you made a cake that had 8 slices. Unfortunately, this was too big and some of it had to be thrown away!

You want to make another cake this week, but you only need to use half the amount of ingredients.

Last week’s cake recipe:

• 220g butter
• 220g caster sugar
• 4 large eggs
• 80g raspberry jam

Can you work out how much of each ingredient you would need to make a cake half this size?

Can you work out how much of each ingredient you would need to make a cake a quarter of this size?

Again, this is not a topic that we recommend spending too much time on at home with your child. In maths lessons year 6 pupils will be taught simple formulae and then some missing number problems and problems with ‘unknown quantities’.

These are best taught by your child’s class teacher.

In Year 6 children learn to convert units of measure, length, mass, volume and time from a smaller unit to a larger unit and vice versa. Also between imperial (miles) and metric units (kilometres)

As a refresher, these are the facts they’ll need to know:

They will also be looking at volume of cubes and cuboids, and comparing area and perimeters of shapes such as parallelograms and triangles.

There are lots of ways to build on your Year 6 child’s measurement lessons at home. Start by highlighting the weights and measurements of everyday kitchen foodstuffs just to show them what 500g looks like or 1 litre.

Measure every member of the family and work out the differences in height. Look at other items and think about what you would use to measure them. For example ear 6 maths tests often seem to include questions about capacity of buckets and most 10 and 11 year old children really struggle with knowing how much a bucket would hold (generally about 2 or 4 litres).

The topic of geometry in Year 6 maths is split into two subtopics: shape and position and direction. The latter is mostly about plotting points on a quadrant so it helps to make sure your child knows the difference between the x-axis (across) and the y-axis (up and down).

Shape can prove a little trickier. Children are expected to compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons. They also use nets to build 3-D shapes.

They will do lots of angles work, starting to use a protractor, and working out, where angles meet and what missing angles amount to. They’ll also start to understand the parts of a circle knowing that the diameter is twice the radius.

Year 6 Geometry activity: Protractor practice

Protractors are often a mystery to primary school age children, so you can clear things up by using them often around the house.

A quick and easy way to handle a protractor is:

• 1: Use a ruler to draw a few different sized angles on a sheet of paper.
• 2: Challenge your child to measure as many as possible in a minute.
• 3. Next, switch roles!
• 4: It’s your turn to measure as many angles as possible, in a different colour pen, for one minute.
• 5: Once all the angles are measured, go back and check for accuracy.
• 6: Whoever got the most angles right wins the game (and perhaps a small reward!).

While drawing angles might seem like straightforward maths for 10-year-olds, it constitutes the first steps towards secondary-level trigonometry.

In Year 6 statistics, children use pie charts and line graphs to solve problems, as well as revising other forms of data representations from pictograms and line graphs to frequency tables. They will also be looking at the mean as an average.

Part of becoming confident in Year 6 maths is being comfortable with a range of mathematical information.

If your child is getting mixed up interpreting data it’s a good idea to go back to basics and have a go at conducting a few surveys around the house before setting out the results in tables and graphs.

Year 6 Statistics Activity: Charting the Weather

Here’s a great activity to do in the rainy months (which shouldn’t be hard to come across in England!) to help with data interpretation through using a real-life example that even helps boost our science understanding.

Dot Your Data: A fun Year 6 maths activity

• Step 1 : Pop a glass outside to collect water.
• Step 2 : Measure the amount that falls each day.
• Step 3 : Record the results in a table.
• Step 4 : After one week, plot the results on a line graph.

When it comes to Year 6 maths, mention of the SATs test is never far away.

For many children this age, the transition into a formal exam year can be stressful, so now is the time to practise working through challenges with a cool head.

As a parent, you might feel under pressure too. Mathematics for children can be a minefield, and when everyone is talking about test scores and booster groups, it can be hard not compare your child’s progress against that of other children.

Every child is different, so your best bet is to focus on your own child’s needs instead of worrying about everyone else (no matter how much they go on about what’s right and wrong for the exams!).

Read more about the KS2 SATS in the following parent guides

• Step by Step to Success in the Year 6 Maths SATs
• Everything Parents Need to Know about SATS
• 29 SATS Revision Tips and Tricks

The KS2 SATs in Maths consists of 3 papers: 1 Arithmetic Paper and 2 Reasoning Papers. The latter tests 10 and 11 year olds ability to reason and problem solve using the maths knowledge and skills they have learnt at primary school. This is the aspect of KS2 maths that a lot of children find hard so the rest of this article gives you some ideas for how to help.

Chances are your child will be practising test questions at school almost daily.

However, at school, the focus will be on working these questions out independently, which leaves a lot of room for misinterpretation.

Most teachers will revisit the harder questions, but it’s a good idea to practise at home so you can identify which questions are causing headaches.

Once you know which ones are problematic, you can work on a strategy to solve them in plenty of time for the exams.

This method isn’t foolproof as the examiners are always thinking up new ways to trip children up but when faced with a problem that seems insoluble it’s worth having a strategy to fall back on. This is what we recommend.

1. Read the whole question

• Find words that you know.
• Find words that you don’t know. Can you work what they mean from what’s around them?

2. Choose which tools to use

• Which operations make sense here? Addition, subtraction, multiplication or division?

3. Try out your tools

• Present work neatly so it’s easier to keep track later.

4. Check that the answer makes sense

• If it does, do a quick check of your work.
• If it doesn’t, work through the steps again.

Simple maths problems to work through with your 10 year old

Bill had three apples and ate two. How many did he have left?

Connor had £5. He spent £3 on lunch. How much money does he have left?

Rachel had 4 dogs. She bought 1 cat. How many pets does she have now?

If you manage to talk about the different ways you could approach the problem this will be very beneficial as dialogue around the process really helps understanding in maths.

Take the time to really dig into the process, and if you get it wrong, treat it as an opportunity to refine the process (rather than giving up).

More complex multi step maths problems for your 11 year old

1. Potatoes cost £1.50 per kg and carrots £1.80 per kg. Jack buys 1½kg of potatoes and ½kg of carrots. How much change does he get from £5? Answer:  £1.85

2. Wishy Washes car wash process 92 cars per day. they make £15 per car. How much money will they have made in 4 days. Answer : £5,520

3. An aeroplane is flying from Birmingham to New York. The distance between these two cities is 5,400km. On the journey the pilot announces “We are 40% of the way through the flight.” How far has the aeroplane travelled? Answer : 2,160 km

For more, see this collection of 35 year 6 maths reasoning questions .

• Year 3 Maths Curriculum Toolkit for 6 & 7 Year Olds
• Year 3 Maths Worksheets
• Year 4 Maths  Curriculum Toolkit for 7 & 8 Year Olds
• Year 4 Maths Worksheets
• Year 5 Maths Curriculum Toolkit for 9 & 10 Year Olds
• Year 5 Maths Worksheets

DO YOU HAVE PUPILS WHO NEED MORE SUPPORT IN MATHS?

Every week Third Space Learning’s maths specialist tutors support thousands of students across hundreds of schools with weekly primary school tuition designed to plug gaps and boost progress.

Since 2013 these personalised one to one lessons have helped over 150,000 primary and secondary students become more confident, able mathematicians.

Learn about the year 6 programme or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

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Year 6 Maths Home Learning Mini Pack includes Answers (Coronavirus)

Subject: Mathematics

Age range: 7-11

Resource type: Unit of work

Last updated

21 May 2024

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The main purpose of LCP’s Mathematics Homework is to make your life, as a teacher or parent of Year 6 pupils, as easy as possible. All of the homework activities are based on the renewed Primary Framework for mathematics; however, as they assess specific learning objectives they can be used in conjunction with other planned teaching schemes.

Each homework activity sheet addresses a whole, or part of, a learning objective. The questions are written to test the understanding of your pupils once they have worked on a topic in the lesson.

The Year 6 curriculum is structured into five blocks, reflecting the same structure as the other primary year groups. Each block is made up of three units, and each unit represents two or three weeks of teaching. The blocks are:

Block A: Counting, partitioning and calculating • Block B: Securing number facts, understanding shape • Block C: Handling data and measures • Block D: Calculating, measuring and understanding shape • Block E: Securing number facts, relationships and calculating

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