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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

Top of Page

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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year 6 maths problem solving questions

35 year 6 maths questions

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

headshot of amber watkins #2

Author Amber Watkins

year 6 maths problem solving questions

Published February 2024

year 6 maths problem solving questions

  • 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.

Year 6 maths word problems

Let’s begin by covering maths word problems.

Doodle-Blog-NumberIcons_1

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? 

Doodle-Blog-NumberIcons_2

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?

Doodle-Blog-NumberIcons_3

 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.

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

year 6 maths problem solving questions

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 =

year 6 maths problem solving questions

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.

year 6 maths problem solving questions

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 !

year 6 maths problem solving questions

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

year 6 maths problem solving questions

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.

year 6 maths problem solving questions

0 is in the tens place.

year 6 maths problem solving questions

2 is in the ones place.

year 6 maths problem solving questions

Division using area models answer sheet

year 6 maths problem solving questions

Multiplying using square models answer sheet

year 6 maths problem solving questions

Multiplying fractions and whole numbers using expanded form answer sheet

year 6 maths problem solving questions

Multiplying fractions using a number line answer sheet

year 6 maths problem solving questions

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

year 6 maths problem solving questions

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

Problem solving.

A variety of problem solving activities including time and money.

Preview of worksheet Farmers fields

A perimeter/area investigation.

Preview of worksheet Nought to twelve

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

Preview of worksheet Cost of houseplants

Find the cost of different numbers of houseplants.

Preview of worksheet Buying three houseplants

Tricky addition which may need jottings to complete.

Preview of worksheet Single step 'real life' problems

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.

Preview of worksheet Multi step 'real life' problems

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

Preview of worksheet Solve problems involving money

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

Preview of worksheet Solve problems involving length mass or capacity

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

Preview of worksheet Solve problems involving time

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

Preview of worksheet More time problems

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

Preview of worksheet Choose appropriate methods of calculating (1)

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

Preview of worksheet Choose appropriate methods of calculating (2)

More on choosing the most appropriate method of calculating.

Preview of worksheet Meal deal

Tricky calculations working out the best and worst meal deals.

Preview of worksheet Vending machine

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

Investigate Numbers and Patterns

Investigate numbers and patterns, including sequences.

Preview of worksheet Multiply by 11

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

Preview of worksheet Four fours

Show all your calculating skills with just four fours.

Preview of worksheet Triangle numbers 1

A first look at triangle numbers.

Preview of worksheet Triangle numbers 2

More on triangle numbers.

Preview of worksheet Triangle numbers 3

Further investigations involving triangle numbers.

Preview of worksheet Recognise patterns in numbers and shapes

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

Preview of worksheet Investigate and predict

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

Preview of worksheet Investigate numbers

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

Preview of worksheet Investigate numbers and shapes

Investigate numbers and shapes; quite tricky.

Preview of worksheet Number sequences

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

Preview of worksheet Number patterns

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

Preview of worksheet Egyptian multiplication

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

Preview of worksheet Develop calculator skills

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.

Preview of worksheet Day trips

Very tricky to find the best options.

Preview of worksheet Skiing holiday in Switzerland

Very tricky calculations to find the best deal.

Preview of worksheet City break to Edinburgh

Finding the best deal is harder than it might seem!

Preview of worksheet Holiday to The Isle of Wight

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

Preview of worksheet Maths Rats trip to Llandudno

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

Preview of worksheet Maths Rats holiday in Snowdonia

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

Preview of worksheet Maths Rats holiday in Anglesey

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.

Preview of worksheet Tricky twenty

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

Preview of worksheet All the digits

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

Preview of worksheet Puzzle anagrams

Find the mathematical words in these anagrams.

Preview of worksheet Puzzle: calculator words

Turn your calculator upside down to read the words!

Preview of worksheet Dizzy digits

A calculator is needed for this fun challenge.

Preview of worksheet Puzzle: four lines

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

Preview of worksheet Head over tails

How many moves to get all the coins on heads?

Preview of worksheet Puzzle: Seven Up!

Nifty little puzzle with more than one solution.

Preview of worksheet Puzzle: a square triangle

More to do with square numbers than shapes!

Preview of worksheet Circle squares

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

Preview of worksheet Funky 15

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

Preview of worksheet Primes to make squares

Can you make prime numbers by adding two square numbers?

Preview of worksheet Maximum change

Lots of coins and not change for £1.

Preview of worksheet Code breaker

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

Preview of worksheet Puzzle: 12 To 15

Logical thinking needed here.

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Resources tagged with: NC Yr 6

There are 50 NRICH Mathematical resources connected to NC Yr 6 , you may find related items under NC .

year 6 maths problem solving questions

4 by 4 Mathdokus

Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

year 6 maths problem solving questions

Different Deductions

There are lots of different methods to find out what the shapes are worth - how many can you find?

year 6 maths problem solving questions

Name That Triangle!

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

year 6 maths problem solving questions

Number Lines in Disguise

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

year 6 maths problem solving questions

Price Match

Can you find pairs of differently sized windows that cost the same?

year 6 maths problem solving questions

Finding 3D Stacks

Can you find a way of counting the spheres in these arrangements?

year 6 maths problem solving questions

Extending Fraction Bars

Can you compare these bars with each other and express their lengths as fractions of the black bar?

year 6 maths problem solving questions

More Fraction Bars

What fraction of the black bar are the other bars? Have a go at this challenging task!

year 6 maths problem solving questions

Always, Sometimes or Never? Shape

Are these statements always true, sometimes true or never true?

year 6 maths problem solving questions

Always, Sometimes or Never? Number

year 6 maths problem solving questions

Round the Three Dice

What happens when you round these three-digit numbers to the nearest 100?

year 6 maths problem solving questions

Round the Four Dice

This activity involves rounding four-digit numbers to the nearest thousand.

year 6 maths problem solving questions

Use the information on these cards to draw the shape that is being described.

year 6 maths problem solving questions

Dicey Perimeter, Dicey Area

In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?

year 6 maths problem solving questions

Domino Sets

How do you know if your set of dominoes is complete?

year 6 maths problem solving questions

Making Spirals

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.

year 6 maths problem solving questions

Round a Hexagon

This problem shows that the external angles of an irregular hexagon add to a circle.

year 6 maths problem solving questions

Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?

year 6 maths problem solving questions

So It's Times!

How will you decide which way of flipping over and/or turning the grid will give you the highest total?

year 6 maths problem solving questions

After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

year 6 maths problem solving questions

Button-up Some More

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

year 6 maths problem solving questions

Counting Cogs

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

year 6 maths problem solving questions

Doughnut Percents

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

year 6 maths problem solving questions

Next Size Up

The challenge for you is to make a string of six (or more!) graded cubes.

year 6 maths problem solving questions

I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?

year 6 maths problem solving questions

What can you see? What do you notice? What questions can you ask?

year 6 maths problem solving questions

Treasure Hunt

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

year 6 maths problem solving questions

First Connect Three

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

year 6 maths problem solving questions

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

year 6 maths problem solving questions

Factor-multiple Chains

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

year 6 maths problem solving questions

Fraction Fascination

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

year 6 maths problem solving questions

Triangles All Around

Can you find all the different triangles on these peg boards, and find their angles?

year 6 maths problem solving questions

Diagonal Sums

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

year 6 maths problem solving questions

Ten Hidden Squares

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

year 6 maths problem solving questions

Orange Drink

A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

year 6 maths problem solving questions

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

year 6 maths problem solving questions

Sponge Sections

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

year 6 maths problem solving questions

Factor Lines

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

year 6 maths problem solving questions

Would You Rather?

Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

year 6 maths problem solving questions

Plenty of Pens

Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

year 6 maths problem solving questions

Mystery Matrix

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

year 6 maths problem solving questions

The Moons of Vuvv

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

year 6 maths problem solving questions

Where Are They?

Use the isometric grid paper to find the different polygons.

Rectangle Tangle

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

year 6 maths problem solving questions

Pumpkin Pie Problem

Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

Quadrilaterals

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

year 6 maths problem solving questions

Two and Two

How many solutions can you find to this sum? Each of the different letters stands for a different number.

year 6 maths problem solving questions

Making Cuboids

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

Round and Round the Circle

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

year 6 maths problem solving questions

Doplication

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

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YEAR 6 PROBLEMS SOLVING AND REASONING - GREATER DEPTH

YEAR 6 PROBLEMS SOLVING AND REASONING - GREATER DEPTH

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

joel140907

Last updated

1 April 2019

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  1. Year 6 Maths Worksheets

    Using these Year 6 maths worksheets will help your child to: ... fraction and measures questions. A great way to revise topics, or use as a weekly math quiz! Year 6 Mental Maths Tests ... These sheets involve solving many 'real-life' problems involving data. Year 6 Math Word Problems (5th Grade) ...

  2. 35 SATs Maths Questions Year 6 SATs Reasoning Practice

    For more word problems like this, check out our collection of 2-step and multi-step word problems for you as well as tips on how to use the bar model to answer Year 6 word problems. For advice on how to teach children to solve problems like this, check out these maths problem solving strategies. SATs Maths Question Type 1: Single step worded ...

  3. 35 Year 6 Maths Questions

    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.

  4. Year 6 Maths Problems

    Different activity sheets that give children questions that look at their fluency, reasoning or problem solving skills for that area of Maths with the answers included. Example questions from the sample reasoning papers and 2016 reasoning papers are also being included for mini practise. More topics will continue to be included.

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    4.2 (5 reviews) Year 6 Diving into Mastery: Step 10 Solve Problems with Two Unknowns Teaching Pack. 5.0 (1 review) Year 6 Diving into Mastery: Step 7 Multiply up to a 4-Digit Number by a 2-Digit Number Teaching Pack. 4.4 (5 reviews) Year 6 Calculation Addition and Subtraction Problems Maths Mastery Challenge Cards.

  6. Maths Problem Cards Year 6 (teacher made)

    These maths problems year 6 Cards are a fun activity and require children to use a variety of different calculations to solve each one. ... maths problem solving year 6 . problem solving year 6 ... Year 6 SATs Maths Reasoning Questions - KS2 Assessment Pack. KS2 Ultimate Times Table Activity Pack.

  7. Daily Maths Word Problems

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

  8. 100 Reasoning and Problem Solving Questions for Year 6

    Speak to us about resources or 1-to-1 maths for your school 020 3771 0095. Login. Register for free ... SATs, Home Learning. 100 Reasoning and Problem Solving Questions for Year 6. 100 Reasoning and Problem-Solving SATs-style questions for Year 6 complete with an answers. 25 Addition and Subtraction Questions; 25 Fractions, Decimals and ...

  9. Problem solving

    Teachit. Year 6 Maths Problem solving learning resources for adults, children, parents and teachers.

  10. Year 6 Calculation Solve Problems Maths Mastery Challenge Cards

    Use this set of 5 challenge cards to reinforce your teaching on year 6 calculation maths mastery and test your students' knowledge. Great as an opening or finishing activity. The above video may be from a third-party source. We accept no responsibility for any videos from third-party sources. Please let us know if the video is no longer working.

  11. Free Year 6 Maths Worksheets & SATs Revision Worksheets (Downloadable)

    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.

  12. 20 Word Problems For Year 6: Develop Problem Solving Skills

    Our collection of year 6 maths worksheets are is a great place to start. To help child practice their problem solving skills, we have put together a collection of 20 word problems, organised by topic. This collection encompasses the types of questions children may encounter in the two reasoning papers. All Kinds of Word Problems Four Operations.

  13. Maths Problem Cards Year 6 (Teacher-Made)

    20 maths problem cards for year 6 children to help improve reasoning skills. Includes problems involving addition, subtraction, multiplication and division. ... maths problem solving year 6 . reasoning year 6 ... Year 6 SATs Maths Reasoning Questions - KS2 Assessment Pack. Year 6 Maths GL Style Revision Flashcards. Year 6 Addition, Subtraction ...

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

    Plenty of problem solving to do in Year 6, together with explaining why particular methods have been chosen. ... Reasoning/Problem Solving Maths Worksheets for Year 6 (age 10-11) ... Questions which need an understanding of a.m., p.m., 24 hour clock, leap years as well as using graphs. 6 pages More time problems More time problems ...

  15. IXL

    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.

  16. NRICH topics: NC NC Yr 6

    Explore a variety of mathematical problems and activities suitable for Year 6 students, tagged with the National Curriculum objectives. These resources are designed by NRICH, a project that aims to enrich learning and develop mathematical thinking and problem-solving skills.

  17. Year 6 Problems Solving and Reasoning

    YEAR 6 PROBLEMS SOLVING AND REASONING - GREATER DEPTH. Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity.

  18. IXL

    Graph and compare fractions on number lines. 10. Compare fractions with like and unlike denominators. 11. Compare fractions: word problems. 12. Convert between improper fractions and mixed numbers. 13. Convert fractions or mixed numbers to decimals.

  19. Maths Problem Cards Year 6 (teacher made)

    These maths problems year 6 Cards are a fun activity and require children to use a variety of different calculations to solve each one. ... maths problem solving year 6 . maths reasoning year 5 ... Year 6 SATs Maths Reasoning Questions - KS2 Assessment Pack. Year 6 SATs Maths Reasoning Week of Workouts (Ages 10 - 11) ...

  20. Fluency Reasoning PPT

    Maths reasoning, fluency and problem-solving skills are incredibly important. Being able to use and apply maths and number skills will enable children to develop their confidence and mastery in maths. This fantastic year 6 autumn-themed morning starter PowerPoint is the perfect way to help children develop their key skills each day with a variety of year 6 problem solving questions that ...

  21. Open-Ended Year 6 Maths Investigations (teacher made)

    Year 6 Maths Mastery Resources: a comprehensive set of teaching materials, perfect for developing your pupils' fluency, reasoning and problem-solving skills. Maths Investigations : a huge range of worksheets and games, which are perfect for developing your pupils' maths knowledge and skills.

  22. 25 Year 6 Algebra Questions And Answers

    Prepare for Year 6 SATs with 25 algebra questions and key vocabulary insights. Boost algebraic skills for success in Key Stage 2 maths SATs. ... pupils progress to writing missing expressions and solving equations for a range of real-life problem solving scenarios. Question 11: express missing number problems . ... Year 6 has a maths test every ...

  23. PDF 100 Reasoning and Problem Solving Questions for SATs

    Page 6 of 45 100 Reasoning & Problem Solving Questions for SATs thirdspacelearning.com 9 Circle two numbers that have a difference of 230 340 580 250 810 120 1 mark 10 7.34 + 32.08 + 403.9 = 1 mark 11 Mrs Redley spent £23,407 on a new kitchen and then spent £2,073 on her grandchildren's Christmas presents.