ks2 maths homework 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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Free KS2 Maths Worksheets For Year 3 To Year 6: Downloadable And Following A Maths Mastery Approach

Vanessa Sipple-Asher

This blog contains our most popular KS2 maths worksheets that are available to you to download and print. We offer a mixture of free maths worksheets, maths activities, and premium resources for all KS2 maths teachers from Year 3 to Year 6.

• Why we’ve created so many KS2 maths worksheets

What you can expect from these KS2 maths worksheets

How to get hold of these ks2 maths worksheets .

• KS2 Place Value worksheets 

KS2 Arithmetic worksheets

Ks2 addition and subtraction worksheets, ks2 multiplication & division worksheets, ks2 times tables worksheets , ks2 fraction worksheets , ks2 geometry worksheets , ks2 measurement worksheets , time worksheets ks2 , algebra worksheets ks2 , ratio and proportion worksheets ks2 , ks2 sats worksheets, building fluency in ks2 maths .

We offer a wide range of learning resources that are in line with the national curriculum for England. These resources are available across year groups, for Key Stage 1 and Key Stage 2 as well as some secondary resources.

At Third Space Learning, we provide blogs, worksheets, teaching resources, and online tuition to help strengthen maths and English skills in both primary schools and secondary schools. 

Join the Third Space Learning Maths Hub

Discover out entire collection of free and premium maths resources for teachers and parents, sign up to the Third Space Learning maths hub. It's quick, easy and free!

Why we’ve created so many KS2 maths worksheets

We are dedicated to supporting teachers with maths lessons, with over 100,000 UK teachers already signed up to receive our free resources, printable maths worksheets, and blog posts.

Our maths worksheets act as additional classroom resources for schools each term receiving our online tuition but are also available for those not currently enrolled. 

We strive to be attentive to the needs of teachers and often create content, resources and worksheets in response to specific requirements we receive from teachers and school leaders across the country. 

All of our material, including our KS2 maths worksheets, are created by experienced teachers like yourself. They have been carefully designed to follow the national maths curriculum and wherever possible, are in alignment with White Rose Maths.

All our KS2 maths worksheets follow maths mastery principles, working towards building a deep understanding of mathematics principles in students rather than resorting to rote learning. These KS2 worksheets include answer sheets and teaching tips where needed, they are also printable and downloadable with many of them available for free. 

Downloading these resources is simple, with many of them on this blog available by just clicking the link and registering with your email address. Our primary maths resources can also be downloaded by logging into the Third Space Learning maths hub .

We have collections of Year 2 maths worksheets , Year 3 maths worksheets , Year 4 maths worksheets , Year 5 maths worksheets and Year 6 maths worksheets . We also have White Rose Maths resources and White Rose worksheets . 

We hope you enjoy this wealth of KS2 maths worksheets. Let us know your feedback! 

KS2 Mathematics Worksheets

Ks2 place value worksheets .

All our place value worksheets are free to download from the maths hub and cover the full spectrum of place value knowledge at KS2. They start with a CPA approach to understanding 10s and 1s as whole numbers and moving through to hundred thousands, millions millions and decimal place value. This leads well into Roman Numerals lessons and resources too.

• Download free Place Value Worksheets and Ready To Go Lesson Slides (White Rose Autumn Block 1)
• Download free Place Value Word Problems Worksheets
• Download free Number and Place Value Diagnostic Assessment Quizzes 

Third Space Learning’s Fluent in Five resource is a daily arithmetic series available for all year groups. Fluent in Five provides five daily arithmetic questions for each day of the week to help build maths fluency and confidence. Download the first 6 weeks of: 

• Fluent in Five Year 3
• Fluent in Five Year 4
• Fluent in Five Year 5
• Fluent in Five Year 6

Our collection of addition and subtraction worksheets cover all KS2 year groups and cover a wide range of skills such as word problem solving, missing number patterns, mental maths, addition of 2, 3, 4 and more digit numbers and bar modelling. Our addition and subtraction worksheets even include some fun maths games! 

• Download Code Crackers pack of resources for Years 3-6. 
• All Kinds Of Word Problems On Addition And Subtraction
• Ready-to-go Lesson Slides – Addition and Subtraction
• Addition And Subtraction Diagnostic Assessments 
• KS2 SATs Year 6 Addition and Subtraction Topic Based Practice Test

We have a large number of multiplication and division worksheets appropriate for each year group. Worksheets cover topics such as halving, long multiplication, short division, long division and everything else to do with multiplication and division within the KS2 curriculum. 

• Year 3 Worked Examples Multiplication and Division
• KS2 Long Multiplication Worksheets
• Long Division Worksheets For Year 3-6
• All Kinds of Word Problems on Multiplication Year 4
• All Kinds of Word Problems on Division Year 3

With children taking the Multiplication Tables Check in KS2 it’s important to get lots of times tables practise in. Download our packs of KS2 times table worksheets.

• Times Tables Packs for Years 1 to 6
• Free 30 Times Tables Tests and Answers

Our fractions, decimals, and remainders resources cover the whole span of the KS2 fractions curriculum, including equivalent fractions, adding and subtracting fractions, simplifying fractions and mixed numbers. 

• Adding and Subtracting Fractions Gap Plugging Pack (Years 1 to 6)
• Multiplying and Dividing Fractions Gap Plugging Pack (Years 5 & 6)
• Understanding and Comparing Fractions Worksheets Year 3

All of our KS2 geometry worksheets are available for download on the Third Space Learning Maths Hub along with all of our other KS2 resources. Our library of geometry worksheets includes resources on 3D shapes, properties of shapes and applying geometry in different contexts. Take a look at some of our geometry KS2 maths worksheets:

• Year 3 Geometry Recap
• Year 4 Geometry Recap
• Year 5 Geometry Recap

For worksheets on measurement see the resources below. Worksheets include a mixture of questions on measurement and co-ordinates as well as a number of home learning activities. 

• Year 6 Algebra and Measures Independent Recap
• Maths Code Crackers Year 4 Area
• Year 5 Worked Examples Converting Units

Teaching children to tell time can be tough, we hope these time worksheets can help. These resources include questions on telling the time, time language, key time facts and comparing durations of time.

• Maths Code Crackers Year 3 Time
• Year 3 Telling the Time
• Year 5 Converting Units of Time

Algebra is most often introduced towards the end of KS2. Here are some Algebra resources to deploy in your Year 6 class. 

• Maths Code Crackers Year 6 Algebra
• Year 6 Worked Examples Algebra

Ratio and proportion are often introduced in Year 6 and our Year 6 ratio resources include a good introduction to the topic, however, our vocabulary lists are a good way to prepare students for new maths concepts to come and get them speaking in mathematical terms.

• Fractions, Decimals, Percentages and Ratio Sentence Stems and Vocabulary Lists
• Year 6 Introducing Ratio Worksheet 
• Year 6 Calculating Ratio Worksheet

In addition to our online, one-to-one SATs revision tuition, Third Space Learning produces a large number of expertly designed SATs preparation worksheets, free SATs papers and KS2 Maths SATs Practice Papers .

Our SATs revision article contains links Year 6 maths questions and many of our most popular SATs worksheets including:

• Year 6 Worked Examples Pack 1
• 75 Year 6 SATs Questions By Topic
• Free 360 Rapid Reasoning Questions

We hope that this collection of KS2 maths worksheets will come in handy and will help to develop fluency, reasoning and problem solving in maths in your classroom.

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Year 6 maths

Support your child as they gain new maths skills, revise earlier topics and prepare for KS2 Maths SATs with hundreds of Year 6 maths worksheets .

You’ll find resources to help your child with all the core topics, including solving three-step problems using addition , subtraction , multiplication and division , working with decimals , fractions and percentages , working with shapes and spaces , converting units of measurement and interpreting tables, bar charts and line graphs .

You can also browse our KS2 Maths SATs papers and follow our KS2 Maths SATs Learning Journey .

Join TheSchoolRun today...

Year 6 maths booster pack.

Make numbers part of everyday life with the Year 6 Maths Booster pack . One worksheet a day offers practice and revision, and the varied activities (spotting mystery shapes, solving puzzles and surveying family and friends to find out what the most popular Olympic sport is) will keep kids' brains active and engaged. The Year 6 Maths Booster pack includes:

•     Prime numbers
•     Proportion, mode, range, median, mean
•     Percentages
•     Measurements and geometry
•     Fractions
•     Decimals
•     Positive and negative numbers

The Year 6 Maths Learning Journey programme

The Year 6 Maths Learning Journey programme comprises 40 worksheets. Work through these and your child will cover all the key topics in the curriculum for their school year. By following the programme, which closely mirrors what your child is being taught in school, you’ll quickly be able to spot any topics that your child hasn't fully grasped and reinforce learning that is happening in the classroom at home. Your child will feel more confident in their own abilities and you’ll know you are giving your child the very best chance of succeeding in school.

Year 6 Maths Progress checks

Want to support your child's maths learning at home? Our Y6 Maths Progress checks , prepared by a KS2 teacher, will help you identify any areas your child is finding tricky so you can revise them together. Each term’s maths test consists of 20 questions and a total of 20 marks. The first 5 questions are mental maths questions (allow your child 10 seconds for each one) and the next 15 are written questions (allow your child as much time as they like to do these questions).

A complete parents' guide to EVERYTHING your child will learn in Year 6 maths

The Parents' Guide to Year 6 Maths  will very quickly help you understand what's been going on in your child's lessons all these years – and better equip you for helping your child to really grasp their maths and get ahead in Year 6. You will get an overview of the exact kind of sums, calculations and operations children are expected to be able to perform with whole and decimal numbers, percentages and fractions – as well as how they are taught to do them. You will learn exactly what they are expected to know about – and do with – shapes and measurements and data handling and you will also discover important little insights such as why you should not tell your child to move the decimal point when multiplying or dividing with decimals. This popular eBook includes 50 ideas for maths games to play with your child, as well as resource sheets which you can print again and again to help your child practise place value, column calculations, 2D and 3D shapes, Venn diagrams, Carroll diagrams and more.

Everything you need to prepare your child for KS2 Maths SATs

You'll find lots of resources on TheSchoolRun to help your child prepare for their SATs test at the end of Year 6 including:

•    KS2 SATs past papers – the official past papers
•    KS2 SATs practice papers – mock papers, exclusively created for TheSchoolRun
•    KS2 SATs revision course – a programme of worksheets covering all the core learning objectives that your child has to master for the tests
•    SATs revision planner – get your child off to a confident start with these expert revision tips
•    Countdown to SATs action plan – a 6-week plan to get your child ready
•    Your guide to KS2 SATs success – tips, tricks and practical suggestions
•    SATs: Practice Makes Perfect – help your child prepare with one compehensive eBook

Fantastic learning packs to support your child's Year 6 maths learning

Looking for support on one specific area of the Year 6 maths urriculum?  Browse through our range of learning packs and chances are you'll find just what your need. Our learning packs cover all aspects of a tricky subject, from information for parents to practical activities to help your child master it. Whether it's fractions or decimals your child needs practice in, everything you need is just a download away. For starters, why not check out:

• Primary geometry: shape and space
• Decimals made simple
• Fractions made simple
• Mental maths challenges

Resources you can trust

Home learning for year 6 – Maths

Home learning for year 6 – maths  is designed to ensure you have all your home learning activities for year 6 maths at your fingertips. Including differentiated tasks for number, ratio and proportion, algebra, measurement, geometry and statistics, there’s an activity for every objective and every week of the school year. Whether you use it as a workbook or dip in and out, it’s perfect for teachers and home tutors of children in year 6.

What's included?

• 39 photocopiable tasks, all differentiated
• mapped to the NC objectives for year 6
• includes worked examples and step-by-step answers
• teacher’s tick list to keep track of work set.

What's inside?

Section 1 – pupil’s section.

Number: number and place value ([ages 7-14)

• Resource 1 – read, write, order and compare numbers up to 10,000,000
• Resource 2 – use negative numbers in context
• Resource 3 – solve number and practical problems

Number: addition, subtraction, multiplication and division (pages 15-40)

• Resource 1 – multiply multi-digit numbers up to 4 digits
• Resource 2 – formal long division
• Resource 3 – formal short division
• Resource 4 – perform mental calculations
• Resource 5 – identify common factors, multiples and prime numbers
• Resource 6 – BODMAS
• Resource 7 – addition and subtraction multi-step problems
• Resource 8 – addition, subtraction, multiplication and division problems
• Resource 9 – use estimation to check answers

Number: fractions (including decimals and percentages) (pages 41-59)

• Resource 1 – use common factors to simplify fractions
• Resource 2 – add and subtract fractions
• Resource 3 – multiply proper fractions
• Resource 4 – divide fractions by whole numbers
• Resource 5 – multiply numbers up to two decimal places
• Resource 6 – written division methods up to two decimal places
• Resource 7 – use equivalences between fractions, decimals and percentages

Ratio and proportion (pages 60-72)

• Resource 1 – relative sizes
• Resource 2 – calculations of percentages
• Resource 3 – scale factors
• Resource 4 –unequal sharing

Algebra (pages 73-85)

• Resource 1 – use simple formulae
• Resource 2 – generate and describe linear number sequences
• Resource 3 – express missing number problems algebraically
• Resource 4 – working with two variables

Measurement (pages 86-103)

• Resource 1 – solve problems involving units of measure
• Resource 2 – convert between miles and kilometres
• Resource 3 – area and perimeter
• Resource 4 – use formula for area and volume of shapes
• Resource 5 – calculate the area of parallelograms and triangles

Geometry: properties of shape (pages 104-114)

• Resource 1 – draw, compare and classify 2D shapes
• Resource 2 – recognise, describe and build simple 3D shapes
• Resource 3 – illustrate and name parts of the circle
• Resource 4 – recognise angles

Geometry: position and direction (pages 115-117)

• Resource 1 – draw, translate and reflect shapes in all four quadrants

Statistics (pages 118-125)

• Resource 1 – interpret and construct pie charts and line graphs
• Resource 2 – using the mean

Teacher’s section and answers (pages 126-168)

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Year 6 Coordinates (All 4 quadrants)

Subject: Mathematics

Age range: 7-11

Resource type: Lesson (complete)

Last updated

1 September 2019

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A double lesson that focuses on being able to read and plot coordinates in all four quadrant. Included is a PowerPoint for the lesson that includes an arithmetic starter as well as an activity with answers and four challenge activities for those that are confident.

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meghan34984

Do you have answers to the challenge questions please?

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