y6 maths problem solving activities

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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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35 year 6 maths questions

Practise 35 year 6 maths questions that will help your child stay on track!

Author Amber Watkins

Published February 2024

• Key takeaways
• Year 6 maths word problems help students apply mathematical concepts to real-world scenarios.
• In year 6 maths, it’s important to master fractions, decimals, and order of operations.
• Hard problems  can be simplified by drawing a picture or using a method that makes them easier to solve.

Table of contents

• Word problems
• Numbers & place value

Multiplication

If this maths page has 5 sections of maths questions  with an average of 7 questions in each section, can you guess how many problems there will be in all? That’s right, there will be a total of 35 year 6 maths questions for us to practise. Without realising it, you just solved one of our first year 6 word problems . Excellent work! Together we will review year 6 maths problems with decimals, fractions, order of operations, and rounding. We will even consider hard maths problems, like multiplying using square models and number lines. Don’t worry about getting the answers right the first time, each section includes answers if you need a sneak peek. So grab a pad and pencil and let’s begin.

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Use code SCHOOL_24 to kick-start school with unlimited questions and games

Year 6 maths word problems

Let’s begin by covering maths word problems.

Mia’s water bottle can hold 300 millilitres of water. She drinks two and a half water bottles each day. How many total millilitres of water does Mia drink each day? 

The playground is made up of four rectangular lots that are each 10 metres by 7 metres. What is the total area of the playground?

 Josh lives 2.5 kilometres away from the park. Josh rides his bike to the park and back home four days a week. How many kilometres does Josh ride his bike each week?

Since we are solving word problems, a word should always be in our answer.

Use code SCHOOL_24 to get 1 FREE month of Doodle!

Numbers & place value

In this section, we will cover maths questions that use place values, word form to standard form, standard form to word form, and expanded form.

Place value

Which digit in the number 245 is in the hundreds place?

Which digit in the number 4,602 is in the tens place?

Which digit in the number 752 is in the ones place?

Word form to standard form

Standard form to expanded form.

4,000 + 300 + 2 = 4,302

600 + 50 + 4 = 654

20,000 + 2,000 + 300 + 60 + 5 = 22,365

In this section, we will cover year six maths questions that include comparing decimals and rounding decimals to the nearest tenth, hundredth, and thousandths place. Let’s get started.

8.9 and 8.900 are the same.

Remember if the number to the right is 5 or larger, you can borrow and become one digit larger. If the number to the right is between 0 and 4, you can’t borrow and the number remains the same.

In this section, we will review maths questionss for year six that cover the topics of adding and subtracting two and three-digit numbers using transformation, division using area models, and the order of operations.

Adding and subtracting whole numbers by transformation

A large portion of year 6 maths problems can be made easier to solve by transformation or changing numbers to make the problem simpler. Let’s practise adding and subtracting two and three-digit numbers by transformation.

How to add numbers using transformation?

When adding or subtracting numbers, look for ways to round to make the problem simpler. Don’t forget what you do to one number, you have to do the opposite to the other. This makes sure the problem stays balanced. Let’s see how this is done. What is 48 + 52? 48 + 2 = 50

52 – 2 = 50 

50 + 50 = 100.

It may be difficult to add 48 + 52 in your head, so we round 48 to 50 by adding 2. Since we added 2 to the first number, we have to make sure to subtract 2 from the second number. So now the problem is 50 plus 50, which is much easier to calculate! 

32 – 2 = 30 68 + 2 = 70 30 + 70 = 100 The answer is 100.

208 – 8 = 200 432 + 8 = 440 200 + 440 = 640 The answer is 640.

321- 1 = 320 199 + 1 = 200 320- 200 = 120 The answer is 120

Division using area models

Don’t know what an area model is? See our area model guide to help with these problems.

Using an area model find the quotient of 365 ፥ 5 =

Using an area model find the quotient of 504 ፥ 6 =

Using the area model below, find the quotient of 872 ፥ 2 =

Order of operations

Many people remember the Order of Operations with the acronym PEMDAS- “Please Excuse My Dear Aunt Sally”, with each letter representing an operation: Parentheses, Exponents, Multiply or Divide, Add or Subtract. Solve the following equations using the order of operations.

Remember that the steps Multiply or Divide can be done in any order. Also, the steps Add or Subtract can be done in any order, do the operation that comes first.

Some of the hardest maths questions involve multiplying: multiplying using square models, multiplying fractions and whole numbers using expanded form, and multiplying fractions using number lines. Let’s practise a few of each!

Multiplying using square models

Multiplying using square models is a method to help students “see” multiplication problems in a simpler way.

Multiply 42 x 35 using the square model below.

Multiply 55 x 76 using the square model below.

Multiply 98 x 42 using the square model below.

Multiplying fractions and whole numbers using expanded form

Multiply ½ x 5 using expanded form.

Multiply ⅔ x 6 using expanded form.

Multiply ⅙ x 7 using expanded form.

Multiplying fractions using a number line

For more maths practice for year 6 , our app for maths help provides year 6 maths help in a way that makes maths fun, rewards effort over being correct, and scaffolds learning. Plus, you’ll get access to a dashboard that displays your child’s participation and progression on maths topics they struggle with. Check it out today !

Parents, sign up for a DoodleMaths subscription and see your child become a maths wizard!

Word problem answer sheet

Mia drinks 750 millilitres  of water each day.

Explanation: 300 x 2 = 600. 300 / 2 = 150. 600 + 150 = 750.

280 square metres.

Explanation: The area of one lot is 10 x 7 = 70 metres. Take that area and times it by four, so 70 x 4 = 280 metres.

Josh rides 20 kilometres on his bike each week.

Explanation: Each day Josh rides 5 total kilometres: 2.5 kilometres to the park and 2.5 kilometres back home. If we multiply that number by 4 days a week, it equals 20 kilometres in all.

Writing numbers answer sheet

2 is in the hundreds place.

0 is in the tens place.

2 is in the ones place.

Division using area models answer sheet

Multiplying using square models answer sheet

Multiplying fractions and whole numbers using expanded form answer sheet

Multiplying fractions using a number line answer sheet

Explanation – First divide the number line into 6 equal parts and draw up a line up to 4/6. Then find the ½ way mark of that line you drew up to 4/6. You will now see the line is divided into three parts. So the answer would be ⅓. 

Lesson credits

Amber Watkins

Amber is an education specialist with a degree in Early Childhood Education. She has over 12 years of experience teaching and tutoring students in maths. "Knowing that my work in maths education makes such an impact leaves me with an indescribable feeling of pride and joy!"

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

Year 6 Maths Worksheets

Our Year 6 Maths Worksheets provide students (aged 10-11) with an engaging and comprehensive overview of the fundamental mathematical concepts appropriate for primary school children in Year 6. The provided exercises cover all strands of mathematics, including long multiplication, short division, lowest common multiple, highest common factor, approximation, calculating areas, converting meters and comparing sizes, angle measurement and identification and many more! With our selection of Cazoom Maths PDF printable worksheets for year 6, teachers will find it easy to plan lessons around these topics while providing their pupils with the necessary support they need for success in maths class!  All resources are developed by professionals in the field and come with answer sheets, so students and parents can track their progress and teachers can pinpoint areas for revision. Our maths worksheets are used by over   50,000 teachers , parents and schools worldwide!

MATHS WORKSHEETS FOR YEAR 6 STUDENTS

Try some free sample year 6 maths worksheets

Outstanding YEAR 6 Maths Worksheets

• Separate answers are included to make marking easy and quick.
• Over 200 pages of the highest quality year 6 maths worksheets. Each worksheet is differentiated, including a progressive level of difficulty as the worksheet continues.
• Our Year 6 Maths Worksheets cover a wide range of topics, from dividing fractions, to place value, to multiplication tables, percentages, and much more. Students will be required to solve problems and use reasoning skills to answer these fun and engaging problems.
• Single user licence for parents or teachers. Separate school licences are also available.
• Single digital pdf download, with worksheets organised into high level chapters of Number, Measurement and Geometry, and further by subtopics. See below for the extensive range of sheets included.

Using Year 6 Maths Worksheets

Ever noticed how Year 6 students often have a maths worksheet tucked into their books? That’s because these sheets are a golden ticket to mastering maths! They’re like a gym for young brains, steadily building their mathematical muscles.

From practicing tricky sums over and over to getting ready for the big leagues of advanced topics, these worksheets do wonders. What’s more, they’re a teacher’s little helper, shining a light on where a student might need a bit more help. And in class? They’re the heart of group work, making maths a team sport and a problem-solving adventure.

Year 6 Maths in the real world

Now, let’s chat about why Year 6 maths feels so real-world relevant. Imagine divvying up a pizza slice with mates; that’s your fractions lesson right there. And when they’re counting their pocket money? Decimals to the rescue! Ever tried guessing if a new desk would fit in a room or tackled a DIY furniture project? That’s geometry in action.

Beyond just numbers, Year 6 maths tunes up the brain, teaching it to think logically and solve those everyday puzzles life throws our way. It’s not just about sums; it’s about gearing up for real life!

List of Topics

See below the list of topics covered. All KS1 and KS2 worksheets can be accessed here.

• Adding to a Single Digit
• Adding to a Two Digit Number
• Adding to a Three Digit Number
• Adding Three Numbers
• Number Bonds up to 20
• Number Bonds over 20

SUBTRACTION

• Single Digit Subtraction
• Two Digit Subtraction
• Three Digit Subtraction
• Working with the Difference
• Multiplication and Division worksheets
• Number and Place Value Worksheets
• Fractions, Decimals and Percentages

MEASUREMENT

• Metric Measures
• Area and Perimeter
• Properties of Shapes
• Position and Direction
• Transformations

ALGEBRA & STATISTICS

• International
• Education Jobs
• Schools directory
• Resources Education Jobs Schools directory News Search

Year 6 Maths Problems

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

22 February 2018

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Year 6 Maths Scheme of Work (based on White Rose Maths)

A scheme of learning with planning and worksheets included for Year 6 Maths. Included are 90 lessons that cover: Place Value Rounding Negative Numbers Roman Numerals Indices Inverse operations Written addition and subtraction Mental addition and subtraction Written multiplication and division Order of operations Finding fractions of amounts Comparing fractions Converting between improper and mixed number fractions Add and subtract fractions Multiply fractions together Multiply fractions by whole numbers Divide fractions by whole numbers Percentages Fraction, decimal and percentages Ratio Algebra including missing information, expressing problems, satisfying equations, satisfying two variables and sequences Multiplying and dividing by 10, 100 and 1000 Multiplying decimal numbers Finding percentages of amounts x 2 Fraction, decimal and percentage equivalents Converting measurements Miles and kms Time Shape with same area but different perimeter and vice versa Volume Area Area of triangles Addition and subtraction (Same as 1st planning scheme as it is revision) Multiplication (Same as 1st planning scheme as it is revision) Division (Same as 1st planning scheme as it is revision) Worksheets are differentiated three ways with a mastery aim running throughout. Having used a similar format in my own lessons, these sheets often provide enough challenge for two days lessons, with children taking on the easier work then moving on to harder challenges within the other sheets. These have all been made with mastery in mind and so follow this pattern. Worksheet One - Works on practise and fluency (LA) Worksheet Two - Practise, fluency and reasoning (MA) Worksheet Three - Practise, fluency, reasoning and problem solving (HA) Worksheet Four - Same as worksheet three as a spare for anybody who finishes problem solving Answers are included for each sheet.

Maths resources

A range of Maths resources including fully planned and resourced lessons that can all be used in Years 5 and 6.

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Free Year 6 Maths Worksheets And SATs Revision Worksheets: Download, Print Or View Online

Sophie Bessemer

Here you’ll find all our free Year 6 maths worksheets and Year 6 SATs revision workshee t s that you can download and use straight away.

Inevitably, many of these have been designed originally to be Year 6 SATs revision worksheets for pupils preparing for their end of primary school KS2 SATs but whether they are sitting their SATs or not, they still need to know the content, and you still want them ready for Year 7 maths next year at secondary school.

If you’re a parent looking for more advice, try our  home learning hub full of home learning packs , tips and teaching ideas for Year 6 Maths at Home and maths homework and more about the KS2 SATs which take place in May every year for Year 6.

If you’re a teacher or school leader who is interested in improving maths attainment in your school or classroom, then this whole website is for you. Third Space Learning is dedicated to improving outcomes in maths with our online tutoring programme of maths interventions , together with maths resources and CPD.

A note on the Year 6 maths worksheets provided

All the Third Space Learning Year 6, KS2 maths worksheets and SATs revision worksheets are printable; most are in pdf format, some are designed as slides, but if you don’t want to print for whatever reason all the worksheets can be viewed online too. 

We always include answers in our maths resource packs but for any teachers wanting to delve further into any of these topics take a look at our KS2 Maths teaching guides which cover everything from long division to pie charts. And if you’re after something a bit more lighthearted in the run up to SATs, our collection of maths games , in particular the KS2 maths games are always popular.

How we’ve selected the Year 6 maths worksheets

We are providing here a selection of the pdf Year 6 maths worksheets and, Year 6 maths tests that we believe can be used with minimal support by 10 or 11 year olds as part of their home learning.

The focus here is on retrieval practice . This means working on skills and knowledge a Year 6 should already have been taught (even if they can’t remember it yet!) and supporting them with strategies to approach SATs questions rather than teaching them new content.

Inevitably there’s a focus at this stage on ensuring pupils core number work is really sound, and on the topics that lend themselves well to Year 6 maths worksheets. There’s nothing here for example on identifying shapes or properties of shapes such as parallelograms or quadrilaterals because you can find these easily online already.

Primary National Curriculum guidance and links to other support is given where relevant alongside the maths worksheets.

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.

Year 6 Place Value Worksheets

Year 6 addition and subtraction worksheets, year 6 multiplication and division worksheets, year 6 four operations worksheets, year 6 fractions worksheets, year 6 percentages worksheets, year 6 decimals worksheets, year 6 algebra worksheets, year 6 fluency, reasoning and problem solving skills practice, year 6 sats tests and revision resources, year 6 maths worksheets on place value: all kinds of word problems.

These Year 6 number and place value worksheets give lots of practice on two-step and three-step word problems to strengthen children’s understanding of place value and ordering numbers.

Download the free Year 6 Number and Place Value worksheets

Year 6 SATs Revision Worksheets on place value: SATs Revision Packs

If you find a Year 6 child is struggling with the place value word problems, then you might want to try some more refresher place value questions and activities with them.

If giving as homework encourage parents to read our explainer What is Place Value and then work through these SATs Revision packs on place value, which cover basic number facts all the way to decimal numbers, designed to for use in the final year of primary school.

Topics covered include: Ordering and Comparing Numbers to 10 Million, Ordering and Comparing Numbers to 3 Decimal Places, Rounding Whole Numbers and Decimals.

Download the free SATs Revision Packs on Place Value

Year 6 Maths Worksheets on addition and subtraction: Gap Plugging Pack

These lessons are what we use during our online maths interventions. The year 6 addition and subtraction worksheets include lots of addition and subtraction questions for children to follow along with. As they are intended to be used by a tutor teaching and supporting a child through their Year 6 addition and subtraction understanding, parents may need to be prepared to step in occasionally. 

Download the free Year 6 Addition & Subtraction worksheets or check out or full collection of addition and subtraction worksheets for even more!

Year 6 Maths Worksheets on multiplication and division: Gap Plugging Pack

More examples of Year 6 maths slides from our online maths tuition, this time on multiplication and division.

Download the free Year 6 Multiplication & Division worksheets

Year 6 SATs Revision Worksheets: Times Tables Tests

It’s essential that children become proficient and quick at their times tables and schools really need parents support in this. By Year 6 children should know all their multiplication facts up to the 12 times table and beyond (i.e 10 times bigger and smaller than 12 too) and be able to identify common multiples, and common factors.

Here are some quick Year 6 maths tests that they can mark themselves to identify any gaps in their multiplication tables and track their progress.

Download the free Year 6 Times Tables Tests

Year 6 Maths Worksheets on long multiplication

These upper KS2 worksheets provide over 45 long multiplication questions that progress from multiplying 2-digit by 2-digit numbers to 4-digit by 2-digit word problems of the sort Year 6 pupils are likely to encounter in SATs.

Download the free Year 6 Long Multiplication worksheets

Year 6 Maths Worksheets on division

By Year 6 children should have moved their understanding of division on to the formal long division method and they will be ready tackle these long division worksheets.

The questions start with short division so a child can progress from 1-digit number division to 2-digit and 3-digit division using division facts and multiples. 

Download the free Year 6 Long Division worksheets

Year 6 Maths Worksheet on the four operations: All Kinds of Word Problems

Mastering BODMAS and the order of operations is key in Year 6 as they start working with indices, square numbers and brackets as well as the standard four operations of addition, subtraction, multiplication and division. This set of KS2 maths worksheets gives 40 word problems of increasing levels of difficulty; if a child struggles with the year 6 four operations questions, then suggest they look at the Year 3, 4 or 5 maths problems instead.

Download the free Year 6 Four Operations worksheet

Year 6 Maths Worksheet on the four operations: Code Crackers

While most pupils will be confident when tackling the four operations, it always helps to have a worksheet that provides some maths revision. This entertaining maths activity not only recaps the four operations through number problems but also when the answers are correctly found, they create the punchline to a joke. 

Download Year 6 Maths Worksheet on the four operations: Code Crackers

Year 6 Maths Worksheet on the four operations: Worked Examples

In Year 6, children will recap previous learning in the four operations but they will also learn long division and focus on BODMAS. There will always be children who will have gathered and maintained misconceptions throughout their schooling or recently found themselves making common mistakes. This worked example worksheet is a perfect way to discuss common errors children make. 

Download Year 6 Maths Worksheet on the four operations: Worked Examples

Year 6 Maths Worksheets on adding and subtracting fractions: Gap Plugging Pack

Year 6 adding and subtracting fractions questions from our online maths lessons

Download the free Year 6 Adding and Subtracting Fractions worksheets

Year 6 Maths Worksheets on multiplying and dividing fractions : Gap Plugging Pack

Year 6 multiplying and dividing fractions questions from our online maths lessons .

Download the free Year 6 Multiplying and Dividing Fractions worksheets

Year 6 Maths Worksheet on fractions: All Kinds of Word Problems

This free year 6 fractions worksheet is a collection of word problems that enable 11 year olds to see a variety of different ways that fraction problems can be constructed, including adding and subtracting fractions, working out equivalent fractions and simplifying fractions

Download the free Year 6 Fractions worksheet

Year 6 Maths Worksheet on fractions: Code Crackers

When children are in Year 6, there are a lot of different elements to fractions that they need to remember. This worksheet provides a fun recap of everything they will have been taught throughout the Year 6 fractions block while they find the answer to a silly joke. The fractions questions include adding fractions with different denominators, multiplying proper fractions by integers and multiplying two proper fractions. 

Download Year 6 Maths Worksheet on fractions: Code Crackers

Year 6 Maths Worksheet on fractions: Worked Examples

This worksheet involves a set of fractions questions that have been solved but not all have been correctly solved. The pupils will need to ‘become the teacher’ to mark the work presented to them and edit any incorrect answers they find. The focus of this resource is mainly on identifying and explaining errors to develop reasoning skills. 

Download Year 6 Maths Worksheet on fractions: Worked Examples

Year 6 Maths Worksheets on percentages: Code Crackers

Revision for 10 and 11 year olds on a perennially tricky SATs topic – Year 6 percentages – all in a fun format that allows Year 6 children the satisfaction of cracking a topical code at the end.

Download the free Year 6 percentages worksheets

Year 6 Maths Worksheets on percentages: Worked Examples

This worksheet encourages children to convert between percentages, fractions and decimals as well as finding equivalents to a given percentage and using percentages in context (in money). There is an added challenge of the questions being solved, ready for the children to check the answers for errors. 

Download Year 6 Maths Worksheets on percentages: Worked Examples

Year 6 Maths Worksheets on decimals: Code Crackers

Recap Year 6 decimals knowledge in order to crack the code .

Download the free Year 6 decimals worksheets

Year 6 Maths Worksheets on decimals: Worked Examples

This worked example worksheet focuses on common eros made within this topic, for example multiplying a decimal number by 100 and multiplying an integer by a decimal number. 

Download Year 6 Maths Worksheets on decimals: Worked Examples

Year 6 Maths Worksheets on algebra: Code Crackers

Recap Year 6 algebra knowledge in order to crack the code.

Download the free Year 6 algebra worksheets

Year 6 Maths Worksheets on algebra: Worked Examples 

Algebra is a new topic for Year 6, although children will have experienced it under different names (for example, missing number problems). This worksheet focuses on the common errors that are made then using function machines, finding possible values and using formula. 

Download Year 6 Maths Worksheets on algebra: Worked Examples 

Year 6 Maths Worksheets on algebra and measures: Independent Recap

These quick worksheets are our newest resource, aimed at being tasks children can work through with minimal support from parents or teachers. This pack contains four worksheets focused on forming and solving two step equations, and converting metric measurements – a double helping of key SATs topics.

Download the Year 6 Algebra and Measures Independent Recap Worksheets Pack

Year 6 Maths Worksheets for improving mental maths, arithmetic and fluency: Fluent in Five

We recommend every primary school child starts their day with Fluent in Five. It’s 5-10 minutes of daily arithmetic questions; in Year 6 children have to answer up to 7 quick mental arithmetic questions a day using either a written or mental method. It’s a fantastic way to develop children’s numeracy and build up their speed in preparation for the KS2 SATs Arithmetic paper.

Download the free Year 6 Arithmetic Worksheets

Year 6 Maths Worksheets for problem solving and reasoning: Rapid Reasoning

Children often struggle with maths reasoning at KS2 , e specially in lower Key Stage 2. This set of more than 120 maths reasoning questions includes modelled answers and step by step guidance to support pupils through solving them. Each Year 6 reasoning worksheet has approximately 4 questions on it.

Download the free Year 6 Reasoning Worksheets

Year 6 SATs Tests and Year 6 Maths Papers

Of course one of the skills the SATs papers test is identifying exactly what the question is asking for, and which maths operation to undertake. The following practice Year 6 maths sats papers or Year 6 SATs tests provide a range of question types and topics, requiring children to switch between multiplication and division to 2D shapes and 3D shapes from one question to the next. They all include answer sheets so children can self mark as required.

Download 6 free KS2 SATs Papers

Download your free Year 6 maths test

Year 6 SATs Revision Worksheets: Worked Examples

This pack contains a series of SATs style arithmetic and reasoning questions that have already been solved, although the answers may not be correct. Each year 6 sats revision worksheet encourages pupils to find and explain errors, not just focus on finding the correct answer. Again the topics are all mixed up, so the first step is in finding what is being tested.

Download free Year 6 Maths Worked Examples

Year 6 SATs Reasoning Questions

Central to the new maths mastery approach to teaching maths at primary school is the idea that all children of all abilities should be able to solve multi step word problems in maths and reason well. This is why two of the three KS2 SATs papers are SATs reasoning papers.

While these aren’t on a SATs revision worksheet, there are plenty of examples here to help 10 and 11 year olds to practise these kind of questions.

35 Free Year 6 Maths Reasoning Questions

If you have pupils who need a boost for SATs next year, talk to one of our schools team about the results you can expect from our one to one SATs revision lessons . We’ve also collected the best SATs revision resources if you’re planning your own SATs intervention, including a breakdown of the topics and order that we believe is most effective in giving pupils a firm grasp of maths and enabling them to achieve 100 in SATs .

Also in this series…

• Year 2 Maths Curriculum Toolkit for 6 & 7 Year Olds
• Year 2 Maths Worksheets
• Year 3 Maths Curriculum Toolkit for 7 & 8 Year Olds
• Year 3 Maths Worksheets
• Year 4 Maths  Curriculum Toolkit for 8 & 9 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 169,000 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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Free KS2 Maths Worksheets For Year 3 To Year 6: Downloadable And Following A Maths Mastery Approach

Free Year 2 Maths Worksheets And Homework: Printable, Downloadable Or Just View Online

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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 .

Reasoning/Problem Solving Maths Worksheets for Year 6 (age 10-11)

Problem solving.

A variety of problem solving activities including time and money.

A perimeter/area investigation.

A good knowledge of the order of operations is needed for this problem solving task.

Find the cost of different numbers of houseplants.

Tricky addition which may need jottings to complete.

Here are sets of word problems only needing one step to solve, but it is not always obvious what calculation to carry out to reach the answer.

Here are some longer problems written in words. You need to work out more than one thing to get the answers.

Quite tricky word problems involving money, often requiring several steps to complete.

A good knowledge of metric measures is needed to complete these questions.

Questions which need an understanding of a.m., p.m., 24 hour clock, leap years as well as using graphs.

An atlas with time zones is needed for the first activity and there are line graphs on time to interpret.

When answering these problems say which operation is needed and whether it can be done mentally, on paper or with a calculator.

More on choosing the most appropriate method of calculating.

Tricky calculations working out the best and worst meal deals.

Purchasing various items from a vending machine. Tricky calculating with money.

Investigate Numbers and Patterns

Investigate numbers and patterns, including sequences.

Quick and easy way to multiply 2-digit numbers by 11 - why does it work?

Show all your calculating skills with just four fours.

A first look at triangle numbers.

More on triangle numbers.

Further investigations involving triangle numbers.

Some great patterns can be found when dividing by 9 or 11, and using square numbers.

Plenty of ideas to help with investigations and inventing similar problems.

More investigations on adding consecutive numbers, dividing by a half, writing a simple formula as well as shape patterns.

Investigate numbers and shapes; quite tricky.

Complete a variety of number sequences and say what the rule for each sequence is. Some negative number work as well.

Using a multiplication square to look for number patterns: there are certainly plenty of them! Further sequence work, including Fibonacci.

Try the Ancient Egyptian method of multiplying. Great, if you are good at adding up!

Tips and hints on how to use a calculator to ensure correct answers.

Holiday Problem Solving

A tricky selection of resources all linked to a holiday theme.

Very tricky to find the best options.

Very tricky calculations to find the best deal.

Finding the best deal is harder than it might seem!

A holiday which might cost more than it should unless there is some careful calculating.

This is complicated with special offers and percentages off making finding the cheapest deal difficult to work out.

More difficult than you might think to find the cheapest deal, including percentages.

Much trickier than it first looks, with many possible options to choose from. Some time is needed to complete this correctly.

A collection of puzzles to solve - some easy and some quite tricky. Ideal for the end of term.

Place the numbers 1 to 9 in the boxes so that each side of the triangle adds up to 20.

Replace the hexagons in the calculation with numbers: logical thinking needed.

Find the mathematical words in these anagrams.

Turn your calculator upside down to read the words!

A calculator is needed for this fun challenge.

This might not seem possible but with a little imagination it can be done.

How many moves to get all the coins on heads?

Nifty little puzzle with more than one solution.

More to do with square numbers than shapes!

Finding pairs of numbers that add up to square numbers. Tricky!

How many ways of making 15. Have you got all of them?

Can you make prime numbers by adding two square numbers?

Lots of coins and not change for £1.

Neat little code-breaker. Can you come up with others?

Logical thinking needed here.

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Top maths games for Year 6 students

By ABC Education

• X (formerly Twitter)

Looking for maths games and interactives for Year 6 students to use in the classroom? These popular resources deal with fractions, decimals, statistics, percentages, area, grids, probability, data analysis, symbols, time, measurement and much more.

Playing an interactive game together as a group is a great way to introduce and start learning a concept. Problem solving together can lead to lots of fun classroom discussion.

Games can also help reinforce and deepen understanding of a concept.

Students can play these games by themselves at home or together in the classroom.

Here are popular maths games, as decided by teachers and students!

1. Wishball

How well do you understand decimal place value with numbers that include hundredths ? You'll be given a starting number, such as 46.87, which you then need to turn into a target number, such as 85.32. Try to achieve the target with as few additions or subtractions as possible. (Topics: addition, decimals, number lines, place value)

2. Time tools: 24-hour to the minute

Use this tool to match different types of clock times. Adjust the time on 12-hour and 24-hour digital clocks to match the time on an analog clock. Some of the times will go right down to the minute. Try to finish each challenge in the least number of adjustments. (Topics: time, digital clocks)\

3. Foul Food Maker!

Do you want fly soup or bug burgers? In this awesome game, the Foul Food Maker randomly creates several kinds of disgusting meals. Work out the likelihood of getting a certain meal. Run simple probability experiments and compare the results with theoretical probability. (Topics: sampling, probability, statistics)

4. Fish market

Ready for a trading challenge in the world of pet fish? Your ultimate goal is to buy a fizzer fish, but you'll have to do some smart trading to make enough money to buy it. Compare prices, supply and demand in different trading markets, and make sure you maximise your profit and reputation as a smart trader. (Topics: profit, loss, discounts)

5. Choose Your Own Statistics

These thought-provoking infographics helps students understand how data representation builds knowledge and influences decisions about social issues. Statistics are presented using the full range of graphs included in the syllabus requirements of the Australian Mathematics curriculum. (Topics: statistics, data representation, percentages)

6. Make a rainforest walking-track

Mark the route for a walking track on a rainforest map. Choose a section of track based on instructions about distances, compass directions and grid references . Keep adding sections of track to get to the rest house. (Topics: symbols, maps, grid references)

7. Fraction Fiddle Tool

Help an archer to hit an apple with his arrow by building two fractions that equal one whole . Use the Fraction Fiddle Tool to see what happens when you change the numerals in a fraction. Students build fractions and compare them on a number line to find out which one’s larger. (Topics: addition, denominators, subtraction)

8. Nature quiz show

You're a contestant in a quiz show, and you need to solve worded mathematical problems about nature. To collect a prize, you need to listen to the suggestions from the panel and identify the correct answer for each step in the problem-solving process. (Topics: problem solving, multiplication, mental arithmetic)

9. Playground percentages

Using a grid, help a town planner design two site plans for a school. Assign regions of a 10 x 10 grid for different uses, such as a classroom, playground, canteen, car park or lawn. Calculate the percentage used for each region, and practise different ways to represent fractions. (Topics: area, proportions, grids, number operations)

10. Leisure survey

Explore how kids use their leisure time. Create a survey , and then choose the best way to display the results, whether a pie chart, bar graph or histogram. Use the data to answer questions and write a report based on the survey results. (Topics: tables, data analysis, sampling, statistics)

11. Dividing with or without remainders

Use a strategy to help you solve divisions , such as 157 divided by 6 (you may have remainders). Split a division into parts that are easy to work with, use times tables, then solve the calculation. Strategies like this help you do complex arithmetic in your head. (Topics: factors, division, number patterns)

12. Photo hunt

You need to recreate a photo of a group of 3D objects. Rotate the scene on the grid until you have matched the same viewpoint. This interactive helps you explore visual perspectives of solids , such as cylinders, spheres, cones and cuboids. (Topics: geometry, solids, translation, perspective)

13. Cassowary ecology quiz

Explore facts about the life of cassowaries, such as their physical characteristics, diet, habitat and life cycles. Answer fraction questions as you interact with graphs and work through the ecology notes. (Topics: number operations, simple fractions, measurement, mental arithmetic)

14. Mystery spinner

A frequency graph shows the results of a spinner. Your job is to build a new spinner that recreates the results. Work out the proportions of colour you need, and then test your spinner and compare your graph to the graph of the spinner. Are the results similar? (Topics: sampling, statistics, data analysis, probability)

15. Circus towers

Work out how many acrobats you need to form square-shaped human towers. You'll learn about squared numbers too. Examine a table and graph , and look for a pattern that will help you predict the number of acrobats needed to build bigger towers. Describe how the number pattern is formed. (Topics: number patterns, composite numbers, perfect squares)

Find more classroom resources for Year 6 maths on ABC Education.

Year 6 maths

IXL offers hundreds of Year 6 maths skills and games to explore and learn! Not sure where to start? Go to your personalised Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, national curriculum, or standardised test.

A. Place values and number sense

• 1 Convert between standard and expanded form
• 2 Place values
• 3 Convert between place values
• 4 Place value word problems
• 5 Writing numbers up to one million in words: convert words to digits
• 6 Writing numbers up to one million in words: convert digits to words
• 7 Writing numbers up to ten million in words: convert words to digits
• 8 Writing numbers up to ten million in words: convert digits to words
• 9 Compare numbers up to one million
• 10 Compare numbers up to ten million
• 11 Put numbers in order: up to one million
• 12 Put numbers in order: up to ten million
• 13 Roman numerals
• 14 Rounding: up to thousands place
• 15 Rounding: up to millions place
• 16 Even or odd: arithmetic rules

B. Addition and subtraction

• 1 Add and subtract whole numbers up to millions
• 2 Add and subtract whole numbers: word problems
• 3 Complete addition and subtraction sentences
• 4 Fill in the missing digits
• 5 Choose numbers with a particular sum or difference
• 6 Properties of addition
• 7 Add using properties
• 8 Inequalities with addition and subtraction
• 9 Estimate sums and differences of whole numbers up to four digits
• 10 Estimate sums and differences of whole numbers up to six digits
• 11 Estimate sums and differences: word problems up to six digits

C. Multiplication fluency

• 1 Multiplication facts to 10
• 2 Multiplication facts up to 10: find the missing factor
• 3 Choose the multiples of a given number up to 10
• 4 Multiplication facts to 12
• 5 Multiplication facts up to 12: find the missing factor
• 6 Choose the multiples of a given number up to 12

D. Multiplication

• 1 Multiply by 1-digit numbers
• 2 Multiply by 1-digit numbers: word problems
• 3 Multiplication patterns over increasing place values
• 4 Properties of multiplication
• 5 Multiply by a multiple of ten
• 6 Estimate products
• 7 Estimate products: word problems
• 8 Use one multiplication fact to complete another
• 9 Multiply 2-digit numbers by 2-digit numbers using area models I
• 10 Multiply 2-digit numbers by 2-digit numbers using area models II
• 11 Multiply 2-digit numbers by 2-digit numbers using partial products
• 12 Multiply 2-digit numbers by 2-digit numbers: complete the missing steps
• 13 Multiply 2-digit numbers by 2-digit numbers
• 14 Multiply 2-digit numbers by 2-digit numbers: word problems
• 15 Box multiplication
• 16 Lattice multiplication
• 17 Multiply 2-digit numbers by 3-digit or 4-digit numbers: complete the missing steps
• 18 Multiply 2-digit numbers by 3-digit or 4-digit numbers
• 19 Multiply 2-digit numbers by 3-digit or 4-digit numbers: word problems
• 20 Multiply three or more numbers up to 2 digits each
• 21 Multiply three or more numbers: word problems
• 22 Choose numbers with a particular product
• 23 Multiply numbers ending in zeroes
• 24 Multiply numbers ending in zeroes: word problems
• 25 Inequalities with multiplication

E. Division fluency

• 1 Division facts to 10
• 2 Division facts to 10: word problems
• 3 Division facts to 12
• 4 Division facts to 12: word problems

F. Division

• 1 Divide by 1-digit numbers
• 2 Divide by 1-digit numbers: word problems
• 3 Division patterns over increasing place values
• 4 Estimate quotients
• 5 Estimate quotients: word problems
• 6 Estimate quotients using compatible numbers
• 7 Divide by 2-digit numbers using models
• 8 Divide by 2-digit numbers using partial quotients
• 9 Divide 2-digit and 3-digit numbers by 2-digit numbers
• 10 Divide 2-digit and 3-digit numbers by 2-digit numbers: word problems
• 11 Divide 4-digit numbers by 2-digit numbers
• 12 Divide 4-digit numbers by 2-digit numbers: word problems
• 13 Adjust quotients
• 14 Multi-step word problems: multiplicative comparison
• 15 Relate multiplication and division
• 16 Complete the division sentence: 2-digit divisors
• 17 Choose numbers with a particular quotient
• 18 Divide numbers ending in zeroes
• 19 Divide numbers ending in zeroes: word problems

G. Number theory

• 1 Divisibility rules
• 2 Divisibility rules: word problems
• 3 Identify factors
• 4 Find all the factor pairs of a number
• 5 Prime and composite numbers: up to 20
• 6 Prime and composite numbers: up to 100
• 7 Prime factorisation
• 8 Highest common factor
• 9 Lowest common multiple

H. Decimals

• 1 What decimal number is illustrated?
• 2 Model decimals and fractions
• 3 Understanding decimals expressed in words
• 4 Place values in decimal numbers
• 5 Relationship between decimal place values
• 6 Convert decimals between standard and expanded form
• 7 Equivalent decimals
• 8 Round decimals
• 9 Decimal number lines
• 10 Compare decimals on number lines
• 11 Compare decimal numbers
• 12 Put decimal numbers in order
• 13 Convert fractions to decimals
• 14 Convert mixed numbers to decimals
• 15 Convert decimals to fractions
• 16 Convert decimals to mixed numbers
• 17 Convert decimals between standard and expanded form using fractions
• 18 Compare decimals and fractions on number lines
• 19 Compare decimals and fractions
• 20 Put assorted decimals, fractions and mixed numbers in order
• 21 Number sequences involving decimals

I. Add and subtract decimals

• 1 Add decimal numbers using blocks
• 2 Add decimal numbers
• • New! Use properties to add three decimals
• 3 Subtract decimal numbers
• 4 Add and subtract decimal numbers
• • New! Use compensation to add and subtract decimals
• 5 Add and subtract decimals: word problems
• 6 Choose decimals with a particular sum or difference
• 7 Complete the decimal addition or subtraction sentence
• 8 Inequalities with decimal addition and subtraction
• 9 Estimate sums and differences of decimals

J. Multiply decimals

• 1 Estimate products of two-digit whole numbers and decimals
• 2 Estimate products of decimals
• 3 Multiply a decimal by 10, 100 or 1,000
• 4 Multiply by 0.1 or 0.01
• 5 Multiply by a power of ten with decimals: find the missing number
• 6 Multiply a decimal by a one-digit whole number using blocks
• 7 Multiply a decimal by a one-digit whole number using the distributive property
• 8 Multiply a decimal by a one-digit whole number
• 9 Multiply a decimal by a one-digit whole number: word problems
• 10 Inequalities with decimal multiplication
• 11 Multiply a decimal by a two-digit whole number using area models
• 12 Multiply a decimal by a two-digit whole number
• 13 Multiply a decimal by a one- or two-digit whole number: word problems
• 14 Multiply three or more numbers, one of which is a decimal

K. Divide decimals

• 1 Estimate decimal quotients
• 2 Divide a whole number by 10, 100 or 1,000: decimal quotients
• 3 Divide a decimal by 10, 100 or 1,000
• 4 Decimal division patterns over increasing place values
• 5 Divide two whole numbers: decimal quotients
• 6 Divide a decimal by a power of ten with decimals: find the missing number
• 7 Divide decimals using blocks: complete the equation
• 8 Divide decimals using area models: complete the equation
• 9 Divide decimals by one-digit whole numbers
• 10 Division with decimal quotients and rounding
• 11 Division with decimal quotients: word problems

L. Fractions and mixed numbers

• 1 Fractions review
• 2 Fractions of a whole: word problems
• 3 Fractions of a group: word problems
• 4 Equivalent fractions
• 5 Patterns of equivalent fractions
• 6 Write fractions in lowest terms
• 7 Lowest common denominator
• 8 Mixed numbers
• 9 Convert between improper fractions and mixed numbers
• 10 Graph and compare fractions on number lines
• 11 Compare fractions and mixed numbers
• 12 Put fractions in order
• 13 Arithmetic sequences with fractions
• 14 Geometric sequences with fractions
• 15 Round mixed numbers
• 16 Reciprocals
• 17 Relate division and fractions
• 18 Understand fractions as division: word problems
• 19 Fractions as division: decimal quotients

M. Add and subtract fractions

• 1 Decompose fractions multiple ways
• 2 Add and subtract fractions with the same denominator using number lines
• 3 Add and subtract fractions with the same denominator
• 4 Add and subtract fractions with the same denominator: word problems
• 5 Add three or more fractions with the same denominator
• 6 Add three or more fractions with the same denominator: word problems
• 7 Add and subtract mixed numbers with the same denominator
• 8 Add and subtract mixed numbers with the same denominator: word problems
• 9 Add up to 4 fractions with denominators of 10 and 100
• 10 Add fractions with different denominators using models
• 11 Add fractions with different denominators
• 12 Subtract fractions with different denominators using models
• 13 Subtract fractions with different denominators
• 14 Add and subtract fractions with different denominators
• 15 Add and subtract fractions with different denominators: word problems
• 16 Add three or more fractions with different denominators
• 17 Add three or more fractions with different denominators: word problems
• 18 Complete addition and subtraction sentences with fractions
• 19 Inequalities with addition and subtraction of fractions
• 20 Estimate sums and differences of mixed numbers
• 21 Add mixed numbers with different denominators
• 22 Subtract mixed numbers with different denominators
• 23 Add and subtract mixed numbers with different denominators
• 24 Add and subtract mixed numbers with different denominators: word problems
• 25 Complete addition and subtraction sentences with mixed numbers
• 26 Inequalities with addition and subtraction of mixed numbers

N. Multiply and divide fractions

• 1 Multiply unit fractions by whole numbers using number lines
• 2 Multiply unit fractions by whole numbers using models
• 3 Multiples of fractions
• 4 Multiply unit fractions and whole numbers: sorting
• 5 Multiply fractions by whole numbers using number lines
• 6 Multiplying fractions by whole numbers: choose the model
• 7 Multiply fractions and whole numbers: sorting
• 8 Multiply fractions by whole numbers
• 9 Multiply fractions by whole numbers: input/output tables
• 10 Fractions of a number
• 11 Fractions of a number: word problems
• 12 Scaling whole numbers by fractions: justify your answer
• 13 Scaling whole numbers by fractions
• 14 Multiply two unit fractions using models
• 15 Multiply two fractions using models
• 16 Multiply two fractions
• 17 Multiply fractions: word problems
• 18 Complete the fraction multiplication sentence I
• 19 Complete the fraction multiplication sentence II
• 20 Divide unit fractions by whole numbers using models
• 21 Divide unit fractions by whole numbers using area models
• 22 Divide unit fractions by whole numbers
• 23 Divide fractions by whole numbers

O. Integers

• 1 Understanding integers
• 2 Integers on number lines
• 3 Graph integers on horizontal and vertical number lines
• 4 Understanding opposite integers
• 5 Compare integers
• 6 Put integers in order

P. Add and subtract integers

• 1 Add integers using number lines
• 2 Subtract integers using number lines
• 3 Add and subtract integers using number lines

Q. Mixed operations

• 1 Add, subtract, multiply and divide whole numbers
• 2 Add, subtract, multiply and divide whole numbers: word problems
• 3 Write numerical expressions
• 4 Evaluate numerical expressions
• 5 Evaluate numerical expressions with brackets
• 6 Evaluate numerical expressions with brackets and square brackets
• 7 Evaluate numerical expressions with brackets in different places
• 8 Missing operators
• 9 Add, subtract, multiply and divide decimals
• 10 Add, subtract, multiply and divide decimals: word problems
• 11 Equations with mixed operations: true or false
• 12 Add, subtract, multiply and divide fractions and mixed numbers
• 13 Add, subtract and multiply fractions and mixed numbers: word problems

R. Problem solving

• 1 Make the largest possible quotient
• 2 Write numerical expressions for word problems
• 3 Multi-step addition and subtraction word problems
• 4 Multi-step word problems
• 5 Multi-step word problems involving remainders
• 6 Multi-step word problems: identify reasonable answers
• 7 Word problems with extra or missing information
• 8 Guess-and-check problems
• 9 Find the order
• 10 Use Venn diagrams to solve problems

S. Ratios and rates

• 1 Write a ratio
• 2 Write a ratio using a fraction
• 3 Write a ratio: word problems
• 4 Identify equivalent ratios
• 5 Write an equivalent ratio
• 6 Ratio tables
• 7 Unit rates
• 8 Equivalent rates
• 9 Ratios and rates: word problems
• 10 Do the ratios form a proportion?
• 11 Solve the proportion
• 12 Scale drawings: word problems

T. Percents

• 1 What percentage is illustrated?
• 2 Understanding percents: bar models
• 3 Convert fractions to percents using grid models
• 4 Convert between percents, fractions and decimals
• 5 Convert between percents, fractions and decimals: word problems
• 6 Compare percents to each other and to fractions
• 7 Compare percents and fractions: word problems
• 8 Percent of a number
• 9 Percent of a number: word problems
• 10 Compare percents of numbers
• 1 Add and subtract money amounts
• 2 Add and subtract money amounts: word problems
• 3 Multiply money amounts
• 4 Multiply money amounts: word problems
• 5 Multiply money amounts with decimals
• 6 Multiply money amounts with decimals: word problems
• 7 Divide money amounts
• 8 Divide money amounts: word problems
• 9 Divide money amounts with decimals
• 10 Divide money amounts with decimals: word problems
• 11 Price lists
• 12 Unit prices

V. Number sequences

• 1 Use a rule to complete an addition or subtraction pattern
• 2 Use a rule to complete a number pattern
• 3 Use a two-step rule to complete a number pattern
• 4 What is true about the addition pattern?
• 5 What is true about the multiplication pattern?
• 6 Complete a linear number sequence
• 7 Complete an increasing number sequence
• 8 Complete a geometric number sequence
• 9 Linear sequences: word problems
• 10 Number sequences: word problems
• 11 Number sequences: mixed review
• 12 Shape patterns

W. Coordinate plane

• 1 Describe the coordinate plane
• 2 Objects on a coordinate plane
• 3 Graph points on a coordinate plane
• 4 Coordinate planes as maps
• 5 Objects on a coordinate plane - all four quadrants
• 6 Graph points on a coordinate plane - all four quadrants
• 7 Quadrants

X. Equations and variables

• 1 Write variable expressions
• 2 Write variable expressions: word problems
• 3 Evaluate variable expressions
• 4 Properties of addition with variables
• 5 Properties of multiplication with variables
• 6 Identify equivalent expressions using bar models
• 7 Write a one-step equation from words
• 8 Model and solve one-step equations using algebra tiles
• 9 Write and solve one-step equations that represent diagrams
• 10 Solve one-step addition and subtraction equations with whole numbers
• 11 Solve one-step multiplication and division equations with whole numbers
• 12 Solve one-step equations with whole numbers
• 13 Write one-step equations: word problems
• 14 Solve one-step equations: word problems
• 15 Does (x, y) satisfy an equation?
• 16 Find a value using two-variable equations
• 17 Complete a table for a two-variable relationship
• 18 Complete a table from a graph
• 19 Graph a two-variable relationship
• 20 Write a two-variable equation

Y. Data and graphs

• 1 Read a table
• 2 Interpret pictograms
• 3 Create pictograms
• 4 Interpret line graphs
• 5 Create line graphs
• 6 Interpret bar graphs for categorical data
• 7 Create bar graphs for categorical data
• 8 Interpret double bar graphs for categorical data
• 9 Create double bar graphs for categorical data
• 10 Interpret bar graphs for grouped data
• 11 Create bar graphs for grouped data
• 12 Interpret line plots
• 13 Create line plots
• 14 Interpret frequency charts: one-step problems
• 15 Interpret frequency charts: multi-step problems
• 16 Create frequency charts
• 17 Interpret stem-and-leaf plots
• 18 Create stem-and-leaf plots
• 19 Pie charts
• 20 Pie charts and central angles
• 21 Choose the best type of graph

Z. Probability and statistics

• 1 Understanding probability
• 2 Find the probability
• 3 Find the probability as a fraction
• 4 Experimental probability
• 5 Use collected data to find probabilities and make predictions
• 6 Make predictions
• 7 Identify statistical questions
• 8 Find the mode
• 9 Find the mean
• 10 Find the median
• 11 Find the range
• 12 Mode: find the missing number
• 13 Mean: find the missing number
• 14 Median: find the missing number
• 15 Range: find the missing number
• 16 Interpret charts to find mode
• 17 Interpret charts to find mean
• 18 Interpret charts to find median
• 19 Interpret charts to find range
• 20 Identify representative, random and biased samples
• 1 Convert time units
• 2 Add and subtract mixed time units
• 3 Elapsed time
• 4 Find start and end times: word problems
• 5 Convert between 12-hour and 24-hour time
• 6 Time zones - 12-hour time
• 7 Time zones - 24-hour time
• 8 Schedules and timelines - 12-hour time
• 9 Schedules - 24-hour time
• 10 Time patterns

BB. Units of measurement

• 1 Choose the more reasonable temperature
• 2 Calculate temperature differences
• 3 Choose the appropriate metric unit of measure
• 4 Compare and convert metric units of length
• 5 Compare and convert metric units of mass
• 6 Compare and convert metric units of volume
• 7 Convert metric mixed units
• 8 Add and subtract metric mixed units
• 9 Multi-step problems with metric unit conversions
• 10 Choose the appropriate imperial unit of measure
• 11 Compare and convert imperial units of length
• 12 Compare and convert imperial units of weight
• 13 Compare and convert imperial units of volume
• 14 Imperial mixed units
• 15 Convert between miles and kilometres
• 16 Convert between metric and imperial units
• 17 Precision

CC. Two-dimensional figures

• 1 Is it a polygon?
• 2 Regular and irregular polygons
• 3 Number of sides in polygons
• 4 Interior angles of polygons
• 5 Sort polygons into Venn diagrams
• 6 Properties of polygons
• 7 Lines, line segments and rays
• 8 Parallel, perpendicular and intersecting lines
• 9 Parts of a circle
• 1 Types of angles
• 2 Measure angles with a protractor
• 3 Draw angles with a protractor
• 4 Find a missing angle - vertical angles
• 5 Find a missing angle - adjacent angles
• 6 Find a missing angle - supplementary angles
• 7 Find a missing angle - vertical, adjacent and supplementary angles
• 8 Find a missing angle - complementary angles
• 9 Find measures of complementary and supplementary angles

EE. Triangles and quadrilaterals

• 1 Classify triangles
• 2 Find missing angles in triangles
• 3 Parallel sides in quadrilaterals
• 4 Sides and angles of quadrilaterals
• 5 Identify parallelograms
• 6 Identify trapeziums
• 7 Identify rectangles
• 8 Identify rhombuses
• 9 Classify quadrilaterals
• 10 Pick all the names for a quadrilateral
• 11 Draw quadrilaterals
• 12 Graph triangles and quadrilaterals
• 13 Identify the relationships between quadrilaterals
• 14 Describe relationships among quadrilaterals
• 15 Find missing angles in quadrilaterals

FF. Symmetry and transformations

• 1 Lines of symmetry
• 2 Draw lines of symmetry
• 3 Count lines of symmetry
• 4 Rotational symmetry
• 5 Rotational symmetry: amount of rotation
• 6 Identify reflections, rotations and translations
• 7 Translations: graph the image
• 8 Reflections: graph the image
• 9 Combinations of reflections, rotations and translations
• 10 Identify congruent and similar figures
• 11 Identify similar triangles and quadrilaterals

GG. Three-dimensional figures

• 1 Identify three-dimensional figures
• 2 Count vertices, edges and faces
• 3 Which figure is being described?
• 4 Nets of three-dimensional figures
• 5 Three-dimensional figures viewed from different perspectives

HH. Geometric measurement

• 1 Find the perimeter of rectangles using formulas
• 2 Perimeter with whole number side lengths
• 3 Perimeter with decimal side lengths
• 4 Area of squares and rectangles
• 5 Understanding area of a parallelogram
• 6 Area of parallelograms
• 7 Understanding area of a triangle
• 8 Area of right triangles
• 9 Area of triangles
• 10 Area of compound figures
• 11 Area between two rectangles
• 12 Area and perimeter of figures on grids
• 13 Area and perimeter: word problems
• 14 Use area and perimeter to determine cost
• 15 Relationship between area and perimeter
• 16 Volume of figures made of unit cubes
• 17 Volume of cubes and cuboids
• 18 Relationship between volume and the area of the base: word problems
• 19 Compare volumes and dimensions of cuboids: word problems

II. Financial literacy

• 1 Identify advantages and disadvantages of payment methods
• 2 Evaluate payment methods
• 3 Reading financial records
• 4 Keeping financial records
• 5 Balance a budget
• 6 Adjust a budget

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Australian Curriculum: Mathematics

Students are entering a new section of math that consists of algebra, geometry, decimals, and more complicated division problems. When there is not a parent or teacher around, students have access to on-demand videos for their sixth-grade mathematical lessons. Our video tutorials are taught by math teachers who go through the problem solving process.

• The key to learning math is repetition, and our math teachers go through multiple examples. 
• Math teachers show students step-by-step directions on how to solve these more complex problems.
• Students learn money, ratios, decimals, graphing, and other concepts from the 6th grade curriculum.

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Daily Maths Word Problems - Year 6 (Worksheets)

Updated:  17 Apr 2024

A set of 20 problem-solving questions suited to year 6 students.

Non-Editable:  PDF

Pages:  6 Pages

• Curriculum Curriculum:  AUS V8, VIC, AUS V9
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Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers

Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers and make estimates for these computations

Use mathematical modelling to solve practical problems, involving rational numbers and percentages, including in financial contexts; formulate the problems, choosing operations and efficient calculation strategies, and using digital tools where appropriate; interpret and communicate solutions in te

This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics.

It provides students with the opportunity to work through 20 maths word problems, identifying the important information and how they can work it out using a variety of methods.

An answer sheet has been included.

Use this resource in conjunction with the Daily Maths Problems PowerPoint : [resource:607261]

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10 Comments

Write a review to help other teachers and parents like yourself. If you'd like to request a change to this resource, or report an error, select the corresponding tab above.

Pls tell me the answer of Millie held a two-hour cookie sale to raise money for her school. Cookies were priced at $3 each. Millie raised $48 in the first hour. At the end of the sale, Millie had raised $105. How many cookies did Millie sell in the second hour?

Hi Simba, You can find the answers on the last page of this resource. If you need assistance with anything else, please don't hesitate to get in touch!

Hello, would it be possible to have the questions related to Australia's system of measurement please e.g. miles to kilometres and Fahrenheit to Celsius Thank you!

Hi Lauren, I think the issue has been fixed now. You can download this resource again. If there is anything else I can assist you with, please don't hesitate to contact me.

Resource updates

Question 8 needed adjustments on the quantities to make the problem work. This has been updated

Fixed the answer on Question 20.

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The problem-solving investigations below match Hamilton’s weekly maths plans. We now also provide Year 6 maths as  short blocks . We will eventually be phasing out the plans, as we believe our short blocks offer you all of the same advantages and more, including the integration of the problem-solving investigations into each unit of study. Find out more about the  advantages of Hamilton's short blocks .

Please note, we do not provide Investigations for Year 6 Summer Term in order to make space for SATs.

Children follow a logic to convert arrangements of dominoes to numbers, and then perform a giant addition. They then create their own domino additions and explore addition patterns. 

Children use logical thinking and number bonds to solve a mathematical puzzle involving multiplying by 10 and 100 and adding decimal numbers.

Children subtract 5-digit numbers and look for patterns in the digital roots. 

Children draw a circle and then use straight lines and angles to construct an ellipse within it.

Children complete a magic multiplication square using their knowledge of number properties and relationships. They then explore factors and multiples to create a new multiplication magic square.

Children multiply numbers starting with 9 by 9 and add single-digit numbers in a decreasing sequence. They identify and describe the patterns and start to explain them.

Using a magic square to generate 3-digit numbers, children create divisions with dividends containing specified fractions.

Children use two dice with decimal numbers to find largest and smallest possible differences, and use mathematical reasoning to calculate the probability of getting close to a specified target.

Children use systematic working to calculate the number of possibilities of making weights, and then look for patterns utilising line graphs.

Children use dominoes to create fractions. They explore sums of fractions using equivalent fractions and related denominators.

Children explore patterns in the squares of numbers with reversed digits to find pairs of ‘stunning squares’.

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