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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?
- 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
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
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Word Problems Zone
Fractions percents ratio zone.
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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 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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Sixth Grade Math Worksheets
Free grade 6 worksheets from k5 learning.
Our printable grade 6 math worksheets delve deeper into earlier grade math topics (4 operations, fractions, decimals, measurement, geometry) as well as introduce exponents, proportions, percents and integers .
Choose your grade 6 topic:
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Year 6: Algebra
New Maths Curriculum (2014): Year 6 objectives.
Pupils should be taught to:
use simple formulae
generate and describe linear number sequences
express missing number problems algebraically
find pairs of numbers that satisfy an equation with two unknowns
enumerate possibilities of combinations of two variables.
Y6 - algebra - interactive quiz.
An interactive quiz which test your understanding of all the algebra objectives in the Year 6 curriculum.
Alternatively, you can use the Interactive Maths Quiz which includes objectives from all strands of the Year 6 curriculum.
This quiz tests the following objectives:
- Online in HTML5 format
Algebra - Balancing Scales
A visual representation to help children solve simple algebra problems. The need to keep equations balanced is demonstrated with balancing scales.
Algebra - Bar Method
Provides a visual representation, using the bar method, to help children see how to solve simple algebraic equations.
- Online in Flash format
Algebra - Bar Method - Tablet Version
Provides a visual representation, using the bar method, to help children see how to solve simple algebraic equations. This version will work on any mobile device.
For more algebra resources click here.
Find the missing angles in a triangle, around a point, in a quadrilateral, find opposite and supplementary angles, or find angles which require multi-step problem solving skills.
For more shape and space resources click here.
Drag the symbols to the correct position to make the number sentence correct. Lots of levels to play. See if you can improve your score over time.
For more multiplication and division resources click here.
For more addition and subtraction resources click here.
This game is now part of the 'Calculations' collection, which includes the following 17 games and resources: Column Addition, Expanded Addition, Expanded Addition - Place Value Counters, Number Bonds(2), Addition - Digit Drag, Missing Symbols, Column Subtraction, Column Subtraction using Place Value Counters, Counting on to find difference on a beadstring, Multiplication Grid Method, Multiplication Written Method, Ratio and Scaling Numbers, Representing Multiplication, Division by Chunking Up, Division by Chunking Down, Formal Written Division - Round Up or Down?, Short Division Writen Formal Method.
The Calculations app is available on Google Play and the App Store.
Balance scales - add, move or remove a weight
Balance the scales by adding, moving or removing a weight. A great mental starter to develop addition and subtraction skills.
Find the missing number to balance the calculations. An excellent tool for reinforcing an understanding of the role of the equals sign. Choose one objective, or many. You can choose all the objectives for a single year group (or multiple year groups). You can also choose to balance between different types of calculations (eg subtraction and division)
Coordinates - reasoning about position and shapes
Find the missing coordinates on a given shape, reflected in a mirror line, or the midpoints of straight lines. Choose to find coordinates in the first quadrant, or all four quadrants. Provides lots of opportunity to reason about shape and position.
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Maths Resources & Worksheets > Year 6 Maths Resources & Worksheets >
Algebra Resources and Worksheets
About these resources.
Differentiated resources for Spring Block 3 (Algebra) in small steps for KS2 children in Year 6. Each small step contains a pack of resources which include a teaching PowerPoint, a varied fluency worksheet pack (in three differentiated levels) and a reasoning and problem solving worksheet pack (in 3 differentiated levels). Coverage of the Spring Block 3 (Algebra) small steps include find a rule (one step), find a rule (two steps), use an algebraic rule, substitution, formulae, word problems, solve simple one step equations, solve two step equations, find pairs of values and enumerate possibilities. These Spring Block 3 (Algebra) resources have been designed with the relevant Year 6 curriculum objectives in mind.
Find a Rule - One Step
Fully Resourced Step →
Find a Rule - Two-Step
Forming expressions, substitution, forming equations, one-step equations, two-step equations, find pairs of values 1, find pairs of values 2, step 1 use an algebraic rule.
Additional Supporting Step →
Step 2 Word Problems
Step 3 enumerate possibilities, 6 spring block 3 consolidation pack.
National Curriculum Level
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Year 6 Algebra Consolidation Lesson
This Year 6 Algebra Consolidation lesson revisits the main teaching points from our Four Operations block.
Year 6 Algebra Consolidation Lesson Slides
These Year 6 Algebra consolidation lesson slides are designed to support understanding of Spring Block 3 - Algebra.
Algebra Consolidation Year 6 Spring Block 3 Problem Solving Pack
These Algebra worksheets are fantastic at helping your pupils practice their reasoning and problem solving skills. This pack contains two different question types for Year 6 Spring Block 3.
Free Year 6 Find a Rule – One Step Lesson Slides
These interactive Year 6 Find a Rule - One Step Lesson Slides are designed to support your teaching of this objective.
Free Year 6 Find a Rule – One Step Lesson
This Year 6 Find a Rule - One Step lesson includes teaching slides, prior learning, worksheets, interactive activities and extensions.
Find a Rule – One Step Year 6 Algebra Resource Pack
Step 1: Find a Rule - One Step Year 6 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Spring Block 3.
Algebra Year 6 Find a Rule – One Step Free Discussion Problems
Step 1: Algebra Year 6 Find a Rule - One Step Free Discussion Problems includes two discussion problems which can be used in pairs or small groups to further pupils' understanding.
Free Find a Rule – One Step Homework Extension Year 6 Algebra
Step 1: Free Find a Rule - One Step Homework provides additional questions which can be used as homework or an in-class extension for the Year 6 Find a Rule - One Step Resource Pack and are differentiated three ways.
Free Year 6 Find a Rule – One-Step IWB Algebra Activity
Step 1: This Year 6 Find a Rule - One-Step IWB Activity includes three questions designed to check pupils' understanding of finding missing inputs, outputs and one-step functions.
Year 6 Find a Rule – Two Step Lesson Slides
These interactive Year 6 Find a Rule - Two Step Lesson Slides are designed to support your teaching of this objective.
Year 6 Find a Rule – Two Step Lesson
This Year 6 Find a Rule - Two Step lesson includes teaching slides, prior learning, worksheets, interactive activities and extensions.
Find a Rule – Two Step Year 6 Algebra Resource Pack
Step 2: Find a Rule – Two Step Year 6 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Spring Block 3.
Algebra Year 6 Find a Rule – Two Step Discussion Problems
Step 2: Year 6 Find a Rule - Two Step Discussion Problems includes two discussion problems which can be used in pairs or small groups to further pupils' understanding.
Find a Rule – Two Step Homework Extension Year 6 Algebra
Step 2: Year 6 Find a Rule - Two Step Homework Extension provides additional questions which can be used as homework or an in-class extension for the Year 6 Find a Rule - Two Step Resource Pack and are differentiated three ways.
Year 6 Find a Rule – Two-Step IWB Algebra Activity
Step 2: This Year 6 Find a Rule - Two-Step IWB Activity includes three questions designed to check pupils' understanding of finding a rule using function machines.
Year 6 Forming Expressions Lesson Slides
These interactive Year 6 Forming Expressions Lesson Slides are designed to support your teaching of this objective.
Year 6 Forming Expressions Lesson
This Year 6 Forming Expressions lesson includes teaching slides, prior learning, worksheets, interactive activities and extensions.
Forming Expressions Year 6 Algebra Resource Pack
Step 3: Forming Expressions Year 6 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Spring Block 3.
Algebra Year 6 Forming Expressions Discussion Problems
Step 3: Year 6 Forming Expressions Discussion Problems includes two discussion problems which can be used in pairs or small groups to further pupils' understanding.
Forming Expressions Homework Extension Year 6 Algebra
Step 3: Year 6 Forming Expressions Homework Extension provides additional questions which can be used as homework or an in-class extension for the Year 6 Forming Expressions Resource Pack and are differentiated three ways.
Year 6 Forming Expressions IWB Algebra Activity
Step 3: This Year 6 Forming Expressions IWB Activity includes three questions designed to check pupils' understanding of forming expressions in algebra.
Year 6 Substitution Lesson Slides
These interactive Year 6 Substitution Lesson Slides are designed to support your teaching of this objective.
Year 6 Substitution Lesson
This Year 6 Substitution lesson includes teaching slides, prior learning, worksheets, interactive activities and extensions.
Substitution Year 6 Algebra Resource Pack
Step 4: Substitution Year 6 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Spring Block 3.
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Year 6 Maths Homework Pack (46 sheets) including answers
Age range: 7-11
Resource type: Worksheet/Activity
11 December 2020
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The main purpose of this Mathematics Homework is to make your life, as a teacher 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. This in turn, will provide you with the information required to assess the pupils’ learning, and will enable you to plan your lessons effectively.
With a full set of answers included you can be confident that your students are getting regular, relevant homework that tests their understanding across the Year 6 objectives and all seven core strands. This easy-to-use CD will reduce the time spent preparing and marking homework enabling you use your time as efficiently as possible.
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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Great news: up-to-date and available at URBrainy.com
A great range of worksheets for the oldest primary children in Year 6 (aged 10‐11). MathSphere is the trusted home of quality maths worksheets, whether to use in the classroom, as back-up material or for homework.
Updated and now available at URBrainy.com
All these resources and more now available online at URBrainy.com
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Free trial available , but at £6 for a month they are tremendous value and allow access to all other year groups, plus English as well.
The Very Best Year 6 Maths Worksheets
The new curriculum is here and we have updated our resources to ensure that the challenges ahead can be met confidently and successfully. Our worksheets help children become proficient in all areas of Maths including algebra and statistics.
- Updated for the very latest statutory requirements with many new pages added
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- MathSphere has been a favourite resource for Year 6 teachers for over 15 years
Try Some Free Sample Worksheets
To give you a better idea of the worksheets available we have provided a selection of free modules for Year 6.
Please download these samples, print them out and use at home, or photocopy and use in the classroom.
Understanding the relationship between decimals and fractions is crucial for future success.
Conventions For Working Out Expressions
Calculating in the correct order: BODMAS as it is often known.
Use Co-Ordinates & Extend into 4 Quadrants
Great fun, but important to understand for future work at High School.
List of modules
It is impossible to describe in a single page the massive amount of high quality maths contained in this one product.
To give you some idea, have a look at the list of all modules:
Number and Place Value 43 pages
Fractions 149 pages, algebra 52 pages, geometry 86 pages, using and applying mathematics 105 pages, 209 pages addition, subtraction, multiplication and division, ratio and proportion 53 pages, measurement 93 pages, statistics 37 pages, mental arithmetic 75 pages, quick details.
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Weekly Maths Worksheets
Year 6 Free Maths Worksheets
They’re not very difficult and are aimed at instilling the ethos of repeated practice.
Summary of Year 6 Maths Content
New & updated free sample worksheets coming soon, based on the UK curriculum;
In the mean time you can subscribe here for free worksheets as they’re written:
English Year 4 for school ages 8-9 equates to :
English year 5 for school ages 9-10 equates to:, english year 6 for school ages 10-11 equates to:.
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Year 6 Maths Worksheets (age 10-11)
Some quite tricky maths here for children aged 10 to 11. All the mental and written skills learned in earlier years are put to good use when working with large numbers. it is quite a challenge to teach all the maths necessary before SATs.
Each category has many resources within so why not jump in and explore the site?
Have a look at some of our popular resources in this category.
Easy starters on algebra.
Using function machines to work out sequences and make simple formulae.
A simple introduction to algebra, using letters to represent numbers.
A first look at variables, terms and expressions.
Revision of converting metric units of length, such as cm to mm.
Solving one-step word problems with large numbers.
Converting and ordering decimals, fractions and percentages.
More on equivalent fractions and simplifying fractions.
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Year 6 Maths Curriculum: Home Learning Toolkit for 10 & 11 Year Olds
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
- 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 students who need extra support in maths? Every week Third Space Learning’s maths specialist tutors support thousands of students across hundreds of schools with weekly online 1-to-1 lessons and maths interventions designed to address learning gaps and boost progress. Since 2013 we’ve helped over 150,000 primary and secondary students become more confident, able mathematicians. Learn more 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 Two student’s math question leaves the internet stumped
An “unsolvable” maths question intended for Year Two students has left hundreds of adults stumped after it went viral.
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An “unsolvable” maths question intended for Year Two students has left hundreds of adults stumped after it went viral.
It all started when a mum shared her child’s homework question to the r/askmath Reddit.
The question starts off by referencing a previous equation that read: “200 + 60 + 9 = 269”, Kidspot reported.
Seems simple, right?
But here’s where it gets tricky.
The next question encourages students to “stretch your thinking” by writing another addition equation.
For more stories like this head to kidspot.com.au
It instructed: “The equation must have a 1-, a 2- and a 3-digit addend and use all of these digits.”
The digits in question included; 6, 6, 2, 2, 8, 8, 0, 0 and 0.
The mum shared a photo of the question next to some working out that’s been scribbled out. She captioned the post: “Second-grade math question that we can’t figure out. The teacher asked for an answer as well that included the numbers. I am so stuck! This is probably so easy, but after an hour I’m at my wits’ end! Second grade!!!”
She added: “Please help this mama out.”
People then rushed to the comments to give the equation a crack and share their thoughts on the question as a whole.
“Fasten your seatbelts … we’re going from ‘Are you smarter than a fifth grader?’ to ‘Are you smarter than a second grader?’” one user quipped.
A second critiqued the question, saying: “Okay but what the heck is this supposed to teach the kids? Guess and check?”
“Yeah, that is not something I would expect very many second graders to get. But then again, that is the ‘Stretch your thinking’ question for this worksheet,” mentioned a third user.
A fourth then made the point, “The unnecessary hyphens after the one and two kinda makes the question confusing, especially for a child.”
“What the hell are addends?” someone else asked, echoing everyone’s thoughts.
“I’m assuming your kid was taught what addends were before this homework was given? So they should have been able to at least explain that part considering that, from the comments, most people don’t have a clue what those are,” someone replied.
So, you’re probably dying to know the answer by now. And, thankfully, a smart cookie in the comments was able to help out.
Apparently, it was as simple as just recreating a similar formula to the previous answer.
“800 + 60 + 2 = 862,” wrote the user.
The OP praised them, saying, “Why did you make it look so easy?! We were about to start WWIII over here and you just whipped it out like the obvious answer that it is. Thank you for saving my tired brain and also my child’s teacher from a very worded email. You win hero of the day!”
This story originally appeared on Kidspot and reproduced with permission
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Breaking news, prankster suspended from $20k-a-year school after he drenched boaters with milk in viral stunt: ‘i’m just a kid, you ruined my life’.
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What goes around comes around, and this kid found out quickly.
A young prankster was suspended from his $20,000-a-year school amid a weeks-long investigation after he drenched a group of women with milk during their boat ride on Jan. 27.
The 16-year-old unnamed Australian boy was handed a “combination of suspension and other punitive action, reparation, apologies and counseling,” in the wake of the viral stunt, which has been viewed more than 32.6 million times, according to the Herald Sun .
“We continue to have the firm view that this behavior was completely unacceptable and have treated the matter with the utmost seriousness,” Melbourne Grammar School said.
The boy uploaded footage of the vile act under his Instagram account, “giddynokiddy,” as he showed himself dumping milk on top of the four women while they were on a GoBoat ride on the Yarra River.
One of the prankster’s alleged victims, who posted a video just moments after they were struck, said the group was celebrating a friend’s birthday.
“You book a GoBoat for your friends birthday and some kid on the bridge above us pours a whole bottle of milk on us for 😭😭😭,” Veronica Burgess wrote in the TikTok video posted on Jan. 27.
The short clip shows a picnic table the women were sitting at with fruits and snacks covered with milk, as someone can be heard saying, “We’re actually gonna stink.”
@veronicaburgess Would love to find the kid that ruined our day :) Go Boat were lovely enough to give us a credit for another day. #goboat #southbank #fyp #foryoupage #boatcruises ♬ original sound – Veronica Burgess
“Would love to find the kid that ruined our day :),” Burgess captioned the video.
One of Burgess’ friends is seen trying to shake milk out of a Bluetooth speaker due to the amount of milk that landed on the group.
Recognizing how far he might’ve gone, the boy allegedly told others in a video, that’s since been deleted on TikTok, to stop sending videos of him in the foul act to his school before he was ultimately expelled.
“Please stop contacting my school, my school has caught me and I am facing expulsion. Can’t believe you would do this to (a) minor,” the boy wrote, according to the Herald Sun .
Melbourne Grammar School, founded in 1858, prides itself in being “one of Australia’s leading independent schools” in the country, the school’s website said.
The school’s local yearly tuition and boarding fee ranges from roughly $21,000 (USD) to $28,000 based on grade.
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“Why’d you do this to me. You ruin my life over a ruined day, you upped the anti, I’m just a kid and you ruined my life. Too far,” the boy added.
Upon the school doing their private investigation on the matter, Victoria police also stepped in to issue the boy a warning for unlawful assault.
“The matter is now complete,” a Victoria police spokesman said.
The boy’s prank stirred the pot across the internet as many bashed the “ongoing problem” in Melbourne.
“What goes through someone’s head to think I’m gonna go buy some milk and ruin someone’s day?????,” one outraged TikToker said.
“Not the kid trying to say that he’s just a child and shouldn’t be blamed for this,” another added.
“This is so sad! I hope it didn’t ruin the rest of your day,” one person said before Burgess said the group “showered and washed our hair then eventually got to continue our day.”
A fellow TikTok user claimed she experienced a similar prank on renting the GoBoat.
“This literally happened to me at melbourne we rented goboat, some kids in the bridge on top of us threw water balloons on us and it was cold during winter,” the user said. “But goboat refunded our money.”
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Parents baffled by tricky math question aimed at six-year-olds - can you figure it out?
A tricky math problem meant for six-year-olds has left parents puzzled as they try to figure out the answer. The homework question was shared on a mom's Facebook page, asking to fill in the missing numbers. Her daughter Summer did just that but was told by her teacher in the US that she was wrong.
Texas mom Tiesha Sanders posted a picture of her child's first-grade math homework. The question asked the child to fill in two boxes, one labeled "tens" and the other "ones," for the number '27'. The girl logically filled the "tens" box with a two and the "ones" box with a seven.
When the answer was marked incorrect, Tiesha was confused. She reached out to the teacher for clarification, writing on the homework sheet: "Hello, I just wanted to ask how Summer got #3 wrong? Her father and I were going over her mistakes and wanted to be sure we were on the right track. The teacher wrote back: " The teacher responded: "Hello this is the new math they have us teaching." The teacher then drew a diagram of the correct answer, explaining: "It wants her to know that having two tens and seven ones is the same as 27 ones."
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The mom, who has been a primary school teacher for six years, was confused by her child's math homework and said: "This new math is NOT it." She shared the problem online, and 3700 people commented, agreeing that the question was tricky. One person wrote: "But if they have the box that labels 'tens' and 'ones' then only ask for the 'ones', how in the entire world is this math, mathing?" Someone else said the question was set up for kids to fail. Another suggested using equal signs instead of arrows to make it clearer.
This happened after another tough math question from a fifth-grade test puzzled many people. Posted on Reddit, it asked how many pages were in a book, saying: "Klein read 30 pages of a book on Monday and one-eighth of the book on Tuesday. He completed the remaining quarter of the book on Wednesday. How many pages are there in the book?"
A tricky question had many social media users scratching their heads, but a person with a PhD in engineering and a specialty in applied mathematics came to the rescue. They explained that it wasn't too hard to solve if you assumed Klein started reading on Monday. Then, divide 30 pages by five to find out what one-eighth is worth, which is six. Finally, multiply eight by six to get the answer - 48. And just like that, the puzzle is solved!