fun year 6 maths problem solving

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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.

Get 1 FREE month of Doodle!

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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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.

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

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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 .

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National Curriculum In England: Mathematics Programmes Of Study

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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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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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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Problem-solving maths investigations for year 6.

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

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

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

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

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

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

You can find Hamilton's investigations for Year 6:

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

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

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

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

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A new KS2 maths challenge every day. Perfect as lesson starters - no prep required!

10 Ridiculously Fun Maths Lessons For KS2

Jodie Lopez

These top 10 fun KS2 Maths lessons are perfect for using with your Year 6 as a break from SATs, or with Years 3, 4 and 5 whenever you feel your lessons need a bit more of the fun factor.

From planning a holiday, to human bar charts; these fun KS2 maths lessons will make sure you’re teaching ridiculously exciting Maths.

Fun Maths Lesson 1: Human Bar Charts

Fun maths lesson 2: group graph gaffes, fun maths lesson 3. you’re the new maths teachers (cross curricular technology links), fun maths lesson 4. share a shape, fun maths lesson 5. where should we sit , fun maths lesson 6. chez le classroom (money), fun maths lesson 7. zero the hero, fun maths lesson 8. the apple scheme (cross curricular with pshe, geography and more), fun maths lesson 9. fill the jars, fun maths lesson 10. plan my holiday.

As well as being great for a mathematical understanding of bar charts, this outdoor maths lesson is also a fun way to get to know your class a bit better.

Take them out to the playground or anywhere you can find a straight line on the ground (i.e. the length of the tennis court or football pitch). This will be your X axis. Then the width can be your Y axis on the left.

Then ask children to stand behind each other in answer to various questions. So, for example, “stand here if your birthday is in January” (point to a place at the start of the X axis and wait for the January birthdays to line up).

Then “if your birthday is in February stand here” and so on down the axis. When they are all in place you have your human bar chart.

If you can get a helpful person to take a photo from a window above you can keep that too before moving on to the next question.

Other questions to ask (and form a bar chart around) might be the continents their families are from, or if they are meat eaters/vegetarian/pescatarian etc.

This works in any year group as you can up or lower the difficulty simply by asking simpler or more difficult questions.

You could even pre-write categories on the floor for younger children such as favourite animals or pets. With more advanced pupils you could discuss continuous versus non-continuous data and ask them to make what they think are the right gaps between columns for this.

From my experience, this is a guaranteed fun maths lesson that KS2 will love!

Looking for fun games and activities to boost pupils’ learning? We’ve got several articles sharing teacher approved maths activities and 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 and multiplication games you’ll want to bookmark whichever year group you teach!

Often we spend a long time teaching KS2 pupils how to accurately draw graphs and charts, but we get frustrated when they miss out vital elements such as the labels and key.

Also, when teaching each in isolation, it can be tricky to get a deeper understanding across of why they are using a particular graph type.

To combat this, I like to do a lesson all about the reasoning behind this by giving out lots of information sets to groups (or pairs) of pupils along with a laptop and asking them to use this free web tool to create graphs for each data set.

They need to then assess how the graph looks and discuss whether it fits its primary purpose, i.e. To give the data to the reader in the most effective way possible.

I encourage them to try at least two graph types per data set before deciding which type they think is best for that set.

For plenary each group/pair needs to explain their decisions and reasoning with the class. We then discuss which we collectively think works best for each.

Data can be anything that works across a couple of graphs, (it has enough information to complete necessary fields) but that doesn’t work well at all in some of the other types. So temperatures from a one week forecast of a particular place, or the favourite pets of the class, and so on. The list is potentially endless!

Let's Investigate: KS2 Maths Activities

24 open-ended Maths investigations designed for Years 5 and 6 and adaptable for Years 3 and 4

This one is a great fun Maths lesson for KS2 all about making Maths games. It can be a very quick, no prep, lesson to have up your sleeve which (if you get the intro and plenary right) can deepen understanding in Maths and highlight misconceptions.

As such it is perfect for non class-based teachers who might get pulled to any class at a moment’s notice!

Ask pupils to create a Maths game on either SMARTboard, ActivInspire software, PowerPoint or whatever package you usually use yourself.

If they have had lots of games and activities modelled this way by you then it can be a simple case of a bit of ICT input teaching them how to use the software.

Or they could even plan it using paper and post-it notes if you do not have the software on all computers for them to use, and generally they will then focus on the Maths element.

You can set a very specific challenge, for example teaching fractions to Year 3, and you may wish to give out to each individual or pair something they have personally either struggled with or really excelled at.

With the right encouragement and support both work well and pupils exceed expectations and show you exactly what you’d own modelling has gone for them!

The extra bonus is that if any of the games are really good you can use them in your teaching…ensure you give them that as an incentive at the start and maybe give a prize at the end for the best ones.

More maths activity ideas

• Best KS1 and KS2 Maths Activities For Every Primary School Term
• 16 Fun Back To School Maths Activities
• 19 more brilliant end of term fun KS2 maths activities !

This lesson is perfect if your KS2 pupils are, or have recently been, quite loud and you need to calm the class or recover from a busy playtime duty!

First up, have a bag of 2D and 3D shapes ready. Ideally they need to be small enough to hide inside a small hand.

Ask each pupil to come to the front, reach into the bag, and take a shape. They should then hide it and sit down silently, not showing it to anyone. You need to be quite firm with this so you may wish to ask anyone you saw reveal theirs or talk about it to return it and take another, as absolute silence makes the game more special.

When everyone has a shape explain the rules. Then, when you say so (and only when you say so!) they need to walk in silence around the class and show their shape to one person at a time. Make sure there is no talking or hand gestures to convey meaning.

Each child must decide if their shape has any properties which match the properties of the person they showed it to. If they both agree (nods allowed or head shaking but that is all) then they stay together and move to someone else.

Gradually the pairs turn to threes and fours and so on. You wait until everyone has at least one other person with them. Still no talking until you ask a person randomly “Why did you decide to stay with this group?”

They will then give an answer like, “their shape also had three sides” and you check if everyone in the group has three sides. If not, then why did someone if a no three sided shape join? “I joined as theirs also has one flat face.” All answers are valid at this point

However, after each group has discussed it a bit, then ask the class if any of the reasons were not necessarily “shape related” such as if anyone made a choice based on colour? Or texture? Then agree that for the next round you only use stale related reasons. Then play again.

Repeat until you are also getting more advanced properties vocabulary (this somehow magically happens each time you praise some!) If you want to them write it into books ask each child to draw and describe their shape with all the properties that have been discussed about it.

Ask them to list it and write next to each of them another shape which shares that property, as appropriate; i.e. “Four sides (square)” for the person with a rectangle.

This fun KS2 Maths lesson gets everyone outside and moving and measuring, and is a great opportunity for cross-curricular teaching with science and geography. Take the class out with measuring equipment including thermometers, data loggers, and any other relevant equipment you have.

This lesson is an exploration. You will set the class a challenge to find the best place to sit at lunchtime. In groups, ask them to use the measuring equipment to measure various factors of four places in the outdoor area such as the sound level, air temperature, ground temperature, distance from football pitch or canteen.

The categories are up to you and should match your environment any interests if your class.

They then need to decide how to record their findings. Back in class they discuss the best place to sit based on all their measurements (expect to mediate some discussions but try not to give your personal view, leave that to them, just aid democracy a bit!)

Then each group to present their choice and reasons. They should include some of the factual information, for example how the ground here is coldest so we don’t want to sit there. They can also include personal choices based on the facts like “we chose to be close to/far away from the football pitch because…”

The main point is for them to get an understanding of how measurements fit into real world decisions and therefore how important accuracy is.

What better way to spend a Maths lesson than to be waited on hand and foot? Well when you transfer to your classroom into a French bistro, that is exactly what you get.

Give each table whatever props you have available – tablecloths, pre-printed menus, table numbers, aprons, pads and mini pencils etc. Ask them to set up their table restaurant. You can do this for them ready if you have break time first.

Give each table a pot of play money and ensure you keep some for yourself to pay. When ready you visit each table to ask for various items. They must add it up, ask for the money, then give you the right change. You can mix up groups or ensure the menus are differentiated by prices.

To save any table waiting for you maybe send your higher ability children round too. Or for an even more authentic vibe invite the out of class staff and SLT to visit the bistro. You could even lay on some real croissants for them if feeling generous!

If this has got your class in the mood, why not try some maths in French or if they need more help, here are some tips on teaching money .

Who doesn’t love Zero the Hero, the fantastic Maths superhero? He’s the key element in any fun KS2 Maths lesson and flies in to our aid whenever a placeholder is needed!

Whether you are multiplying by ten, or adding and ‘carrying’, Zero the Hero is your trusty friend.

Get some capes made with a zero on the back of each (well known pound shops sell great superhero capes and asks for…a pound) and each time you are doing some Maths practice with the whole class give your capes to two or three children or as many as you may need.

It is their job to fly into play when they feel needed! Every time they think a zero place holder is needed they need to jump up, shout “to the rescue!” and strike a superhero pose fitting of a Maths master! And with a little modification, this can also make a fantastic sports day maths activity.

The Apple Scheme has a budget focus which can be used across the age ranges, you simply decide how hard to make the budget cut!

Put pupils into groups (can be individual with more able or older students) and give them a list of jobs that are commonly needed in a small town or village, such as a doctor, teacher, bank manager, road sweeper, shopkeeper, police person and so on. Tell them they are mayor of their town.

They need to decide how much to pay each member of their town. The pay is in “apples” and they can pay between 0 and 5 apples a week per person. Let them decide who earns what and how much to pay them.

If you want this to be a cross curricular project this can then involve many class discussions on: the worth of jobs, parity of pay, likelihood if someone leaving if not paid enough, impact of cost to study for certain jobs etc so great for PSHE and human geography.

Once they have decided you tell them there is now a recession. Then either give them an exact budget (45 apples a week) for the town, or tell them to cut wage spend by 10% (or harder if more able) and then they must decide whether to cut all wages, or some, or sack some jobs all together, to make the budget work.

A valuable budget lesson but one which makes them focus on human aspects while doing all sorts of calculations without even realising the amount of Maths they are doing in one lesson!

Another way to insert a wide range of calculations into a lesson without taking forever, is to use quick daily arithmetic activities like Fluent in Five .

A really fun one for a hot summer term day at the end of KS2. Take lots of jars, buckets, containers of all shapes, sizes and types, to the playground. Get the biggest buckets filled up to the brim. And ensure you warn your lovely premises manager what will happen.

You may wish to have waterproof aprons ready too. This challenge can be set in groups or pairs. Ask the children to find out the volume of as many containers as they can in the time given – including finding out how much water they had in their bucket to start with!

You will need to know the answer to each of them too so number each of them after you gave checked this out then have a list ready.

Each group needs at least one measuring jug and will hopefully figure out early on that this is a good one to use for the others! The more water they spill, the less likely they are to find out how much water was in their own bucket at the end (you can give different amounts in each bucket for differentiation).

The winning group has the most answers correct and must be within 10-20% of their bucket total (you can decide how generous to be with that but I suggest not telling them how generous you will be till the rand to avoid too much water spilt!

Set the scene:

“So I’m off on holiday and I need you, my class, to help me plan it. Here is a timetable of all the different excursions and trips I could book for.

These are also some other activities I would like to do (sunbathe for at least four hours, go shopping at the market for two hours).

This is a map of my resort with the routes and distances between each place. I want to get up at 8am each day and be in bed by 10pm. Here us a timetable for you to complete for me.”

Then let each group discuss and plan a holiday for you. All about time, and a bit of common sense for travelling between things, and maybe remembering you need to eat lunch! They need to look at the timings of events and think about how far each thing is from the next.

The blank timetable should have a space for each hour or half hour for each day of the holiday (differentiate here as required) so they can fill it in. You may want them to colour code it showing one colour for events and one for travel. Read more: Holiday maths activities

More fun seasonal maths activities:.

• Christmas maths quiz , Christmas maths activities and Christmas maths lessons !
• Awesome Autumn maths activities
• 15 free maths starters for KS2, suitable to use when ever your class needs an energy burst.
• Jubilee maths activities

DO YOU HAVE PUPILS WHO NEED MORE SUPPORT IN MATHS?

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Learn about the emphasis on building a positive maths mindset 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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5 challenging year 6 maths problems

Subject: Number

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

22 February 2018

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warksteacher

A couple of lovely contexts for children to apply their skills to - thanks.

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Fabulous, thanks, some great challenges

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Year 2 Numbers to 100 in Words Reasoning and Problem Solving

Are your pupils familiar with numbers to 100 in words? Perhaps you're looking for a further challenge to deepen their understanding? If so, how about downloading this Year 2 Numbers to 100 in Words Reasoning and Problem Solving resource. Packed full with two reasoning and four problem solving questions, children will have ample opportunity to flex their knowledge and you can assess their understanding. We recommend completing this activity following our Numbers to 100 in Words Varied Fluency resource. We've included an answer sheet to make marking quick and easy.

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National Curriculum Objective

Read and write numbers to at least 100 in numerals and in words Identify, represent and estimate numbers using different representations, including the number line  

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Past Contests, Solutions and Results

Problems, Solutions and Results from previous years can be found in the table below. These resources can be used by students to review and attempt past contests to gain a better understanding of the contest format and level of difficulty. Educators can use these resources to help their students prepare for contests or draw inspiration from some of these questions to create teaching materials, lesson plans or quizzes.

Below you will find resources from the last 10 years.

For the Gauss , Pascal, Cayley, and Fermat Contests, the CEMC Problem Set Generator can be used to create sets of past problems with customized topics.