- Home |
- About |
- Contact Us |
- Privacy |
- Copyright |
- Shop |
- Search Site
- Halloween Color By Number
- Halloween Dot to Dot
- Kindergarten Halloween Sheets
- 1st Grade Halloween Sheets
- Puzzles & Challenges
- Christmas Worksheets
- Easter Color By Number Sheets
- Printable Easter Dot to Dot
- Easter Worksheets for kids
- Kindergarten
- All Generated Sheets
- Place Value Generated Sheets
- Addition Generated Sheets
- Subtraction Generated Sheets
- Multiplication Generated Sheets
- Division Generated Sheets
- Money Generated Sheets
- Negative Numbers Generated Sheets
- Fraction Generated Sheets
- Place Value Zones
- Number Bonds
- Addition & Subtraction
- Times Tables
- Fraction & Percent Zones
- All Calculators
- Fraction Calculators
- Percent calculators
- Area & Volume Calculators
- Age Calculator
- Height Calculator
- Roman Numeral Calculator
- Coloring Pages
- Fun Math Sheets
- Math Puzzles
- Mental Math Sheets
- Online Times Tables
- Online Addition & Subtraction
- Math Grab Packs
- Online Math Quizzes
- Place Value
- Rounding Numbers
- Comparing Numbers
- Number Lines
- Prime Numbers
- Negative Numbers
- Roman Numerals
- Subtraction
- Multiplication
- Fraction Worksheets
- Learning Fractions
- Fraction Printables
- Percent Worksheets & Help
- All Geometry
- 2d Shapes Worksheets
- 3d Shapes Worksheets
- Shape Properties
- Geometry Cheat Sheets
- Printable Shapes
- Coordinates
- Measurement
- Math Conversion
- Statistics Worksheets
- Bar Graph Worksheets
- Venn Diagrams
- All Word Problems
- Finding all possibilities
- Logic Problems
- Ratio Word Problems
- All UK Maths Sheets
- Year 1 Maths Worksheets
- Year 2 Maths Worksheets
- Year 3 Maths Worksheets
- Year 4 Maths Worksheets
- Year 5 Maths Worksheets
- Year 6 Maths Worksheets
- All AU Maths Sheets
- Kindergarten Maths Australia
- Year 1 Maths Australia
- Year 2 Maths Australia
- Year 3 Maths Australia
- Year 4 Maths Australia
- Year 5 Maths Australia
- Meet the Sallies
- Certificates

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?
For full functionality of this site it is necessary to enable JavaScript.
Here are the instructions how to enable JavaScript in your web browser .
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.
How to Print or Save these sheets

Need help with printing or saving? Follow these 3 easy steps to get your worksheets printed out perfectly!
- How to Print support
Return to Math Salamanders UK Home Page
Return from Year 6 Maths Worksheets to Math Salamanders Homepage
Math-Salamanders.com
The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.
We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.
New! Comments
TOP OF PAGE

Math Salamanders Shop

Looking for some fun printable math games?
We have some great games for you to play in our Math Games e-books!

- Check out our store
NEW Online Age Calculator

Do you know how old you are...in weeks? days? hours?
Are you more than a million minutes old?
Find out how old you are to the nearest second!
- Online Age Calculator
NEW Fraction Calculators
We have updated and improved our fraction calculators to show you how to solve your fraction problems step-by-step!
Take a look and try them out!

- Adding Fractions Calculator

- Subtracting Fractions Calculator

- Multiply Fractions Calculator

- Divide Fractions Calculator
New Math Sheets & Resources
Check out our LATEST webpages.
- Number Lines 0 to 1
- 2 Digit Multiplication Worksheets
- Basic Fractions Worksheets
- Negative Numbers Games
- Multiplying Negative Numbers Online Practice
- Divide Negative Numbers Online Practice
- Adding Negative Numbers Online Practice
- Subtracting Negative Numbers Online Practice
Some of our TOP pages!
Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child
- Reverse Percentage Calculator
- List of Geometric Shapes
- Equivalent Fractions
- 3d Geometric Shapes
- Perimeter Worksheets
If you are a regular user of our site and appreciate what we do, please consider making a small donation to help us with our costs.
Get a free sample copy of our Math Salamanders Dice Games book with each donation!

FUN Math Games
Looking for a fun and motivating way to learn and practice math skills?
Why not try one of our free printable math games with your students!
- Fun Math Games
- Printable Math Certificates
Looking for some cool math certificates to hand out?
A certificate is a great way to praise achievement in math learning.
Check out our printable math certificate collection!
© 2010-2022 Math Salamanders Limited. All Rights Reserved.
- Privacy Policy
- Copyright Policy
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.
This site uses cookies to give you the most relevant information. Learn more
Log in or sign up to get access to this resource
Become a friend.
Access to this resource requires any key stage licence. Donate £33 to get individual access to your key stage.
Subscribe your School
Access to all key stages for up to 30 teachers.
Already have an account?
Log in to get access.
Teaching support from the UK’s largest provider of in-school maths tuition

resources downloaded

one to one lessons

schools supported
SATs prep without the stress
Weekly personalised one to one tuition designed to build familiarity with KS2 SATs questions and techniques
Hundreds of FREE online maths resources!
Daily activities, ready-to-go lesson slides, SATs revision packs, video CPD and more!

35 SATs Maths Questions And Answers With Worked Examples: Essential Maths Reasoning Practice For Year 6 [FREE]

Anantha Anilkumar
For Year 6, the toughest of their SATs maths questions are the reasoning questions.
With SATs 2023 coming up, your pupils need plenty of SATs exam practice to be familiar with both the types of SATs reasoning questions that can come up and the skills needed to answer them.
So here to make life easy for you we’ve put together a collection of 35 SATs maths questions, organised by the sorts of question that pupils can expect to encounter.
All these practice SATs questions have been based on questions from past SATs papers, our own free year 6 maths SATs papers , and our collections of year 6 reasoning questions that we put together for our Rapid Reasoning resource and which can help build stamina in maths .
The answers are all taken from the answer sheets we provide for each test paper.
Why The Focus On Maths Reasoning Questions For SATs?
Ever since the new national curriculum Key Stage 2 SATs in 2016, the emphasis in the all SATs papers has been very much on SATs reasoning questions. While there is one arithmetic paper, there are two reasoning papers; and the variety, breadth and level of challenge in the reasoning paper continues to impress us.
Most Year 6 pupils find the reasoning SATs maths questions the hardest part of these maths papers. Unsurprisingly! We teach thousands of pupils every week in the run up to SATs, and teaching them maths reasoning skills at KS2 is a big part of what we do.
We even recently took the decision to restructure our SATs lessons to introduce maths reasoning questions earlier in the learning journey as the level of challenge just at the end of the lesson was too high. So we feel the Year 6 teacher’s pain!
Whatever level pupils go on to perform at in maths, maths reasoning questions and numerical reasoning tests (such as those used by grammar and private schools) are likely to be a part of the practice they require.
If you find you have children in your class with much further to catch-up than the others then we may be able to support them with some personalised one to one tuition if you get in touch shortly.
35 SATs Maths Questions For KS2 Year 6 SATs
For the KS2 SATs tests, there are 7 types of maths reasoning question that are likely to come up:
- Single step worded problems
- Multiple step worded problems
- Problems involving measures
- Problems involving drawing
- Explanation questions
- Sequence questions
- Ordering questions
For each of these types we’ll examine an example SATs maths question from a previous SATs paper, looking at the question, the correct answer, and how to go about answering this question.
We’ll also look at further examples of each type of maths reasoning questions and answers from Third Space’s Rapid Reasoning resource, again with worked examples and an explanation of how to answer each.
Finally, at the end of this article we provide links to further Year 6 maths questions and assessments that you may find useful including plenty of arithmetic practice too.
Our aim is to provide you as part of your SATs practice with a sample of the types of KS2 SATs questions pupils can expect in the reasoning papers and how to teach the reasoning and problem solving skills they’ll need to answer them.
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 problems
The simplest type of reasoning question pupils are likely to encounter in the reasoning papers, single step problems are exactly that: pupils are asked to interpret a written question and carry out a single mathematical step to solve it.
Have a look at the question below:
Reasoning Question 1

Answer: 65p
A relatively easy question to interpret and solve – the first step is to recognise £2 and £1.35 as equivalent to 200 and 135. From here the simple mathematical step is subtraction i.e. 200-135=65.
The most crucial skill for primary school pupils in this question is a solid understanding of money as relating to place value. If this understanding is present, the mathematical step itself is quite easy.
Below are several more examples, taken from Third Space Learning’s Rapid Reasoning resources:
Reasoning Question 2

Answer : 7 hours 24 minutes
Pupils need to understand that one hour is equal to 60 minutes. From here the single mathematical step is short division: 444/60, with a remainder.
Reasoning Question 3

Answer : 48 cm 3
Pupils must calculate length by breadth by height, using the figures provided by the question.
Reasoning Question 4

Answer : 124 cm
A simple enough calculation (doubling) if pupils are aware that the diameter is twice the radius.
Reasoning Question 5

Answer : 7,590
A single, relatively simple rounding problem – pupils should recognise that ’94’ is the operative part of this figure.
SATs Maths Question Type 2: Multiple step worded problems
A more complex version of the single step worded problem, multi-step problems require pupils to interpret a written problem, but solving it then requires the use of two or three maths skills,
For example, consider this question from the 2019 KS2 maths SATs:

Answer: £1.85
This question encompasses three different maths skills: multiplying (and dividing) mixed numbers, addition and subtraction. Pupils can choose to work out the multiplication or division first, but must complete both before moving on.
Once these values have been worked out the next steps are relatively simple – adding the two values together, and subtracting the total from £5.
Multi-step problems are particularly valuable to include in practice tests because they require children to apply their knowledge of maths language and their reasoning skills several times across the course of a single question, usually in slightly different contexts.
More examples:

Answer : £5,520
There are two steps to this problem, but both are multiplications. The first is to work out how much money is made per day – 92 x £15. This sum is then multiplied by 4 – the number of days – to get to the solution.

Answer : 2,160 km
Another two step problem. The first step is to work out 10% of 5400 km. Then multiply this by 4 to solve 40%.

Answer : £43.50
There are three steps involved in solving this problem: multiplication (doubling £51 and £36 to find the cost of two adult and two child tickets), addition (putting the two costs together) and division (dividing the total by four to obtain the mean cost).
Given the number of steps involved it can be easy for pupils to make arithmetic mistakes, and the mark scheme accounts for this by allowing for one mistake – but no more.

Answer : 11.45 kg
A two-step problem again: multiplying 3.45 kg by 4, then subtracting 2.35 kg from the total. As with the previous problem, the mark scheme again allows for at most one arithmetic error, assuming the method is correct.

Year 6 Rapid Reasoning (Weeks 1-6)
Download 6 weeks of Rapid Reasoning slides for your Year 6 pupils and help them get a head start on preparing for the SATs reasoning papers.
SATs Maths Question Type 3: Problems involving measures
As their name suggests, these questions ask pupils to solve a problem that includes one or more units of measurement.

Take a look at this question from 2018’s Reasoning Paper 3:

Answer: 40 washes
This is a two step problem; pupils must first be able to read and convert kilograms to grams (and therefore know the relationship between the two units), then divide 2600 by 65 to work out the number of washes possible.
Questions involving measures tend to be few in number in the KS2 exam papers, but they often provide an excellent way to couch key maths skills such as the four operations.
Further examples:

Answer : 50g
A relatively simple division problem, relying on pupils having knowledge that 200g is one fifth of a kilogram.

Answer : 1.1kg
Another three step problem – multiplying 500 by 4 to get the total mass of the four melons, multiplying 300 by 3 to get the total mass of the remaining three melons, and then subtracting 2000 from 900 to obtain the mass of the fourth melon.
It’s worth noting that the mark scheme allows either 1.1kg or 1,100g as acceptable answers – the units of measurement are not as important as obtaining the current figure.

Answer : 216cm
Interesting to note that in this problem (unlike the previous example), the units for the answer are specified – an answer given in metres will be marked as wrong, since cm is specified in the answer box. This is why we encourage pupils to keep an eye on whether units are provided in the answer box.

Answer : 170g
As with the melon question there are three steps involved to solve this problem: working out the mass of the four cars (4 x 80), working out the mass of the remaining three cars (3 x 50) and subtracting 150 from 320 to get the mass of the fourth car.
SATs Maths Question Type 4: Problems involving drawing
Problems involving drawing require pupils to construct an accurate drawing by following a set of instructions, or through reflection, translation, or scaling.
This type of question is quite rare, but there are some notable exceptions, such as the infamous Question 21 in Paper 2 of the 2019 Reasoning SATs:

Answer: Any pair of lines that make a square of 4 units, a rectangle of 6 units, and a square of 25 units.
This question is considerably more complex than it appears, and incorporates aspects of multiplication as well as spatial awareness. One potential solution is to work out the area of the card (35), then work out the possible square numbers that will fit in (understanding that square numbers produce a square when drawn out as on a grid), and which then leave a single rectangle behind.
A lot of work for a single mark!
Some further examples:

Answer : Any quadrilateral made by joining the dots that has 3 acute angles e.g. an arrowhead shape.

Answer : An accurately drawn angle.
The mark scheme here allows some room for error – “between 34 and 36 degrees” is acceptable .

As with the question above, a small amount of room for error is given – “between 139 and 141 degrees”.

Answer : a new triangle drawn with points at (2,1), (5,1) and (2,4).
Translation can be tricky for pupils. Encourage them to look at the triangle as three points, and to translate each point separately rather than trying to move ‘the whole triangle’.
SATs Maths Question Type 5: Explanation questions
An early form of the ‘Prove X’ questions that come up in GCSEs, these problems ask children to explain a mathematical statement or error.
As an example:

Answer: If the distance from P to R is 800m and the distance from P to Q is (Q -> R x 4), it must be 4/5 of 800 = 640m. Therefore Olivia is wrong.
More than most problems, this type requires pupils to actively demonstrate their reasoning skills as well as their mathematical ones. Here pupils must articulate either in words or (where possible) numerically that they understand that Q to R is 1/5 of the total, that therefore P to Q is 4/5 of the total distance, and then calculate what this is via division and multiplication.
Further examples from TSL’s Rapid Reasoning resources:

Answer : No; 20/100 is the same as 20 divided by 100, which equals 0.2.

Answer : No; multiplication and division have the same priority, so in a problem like 40 x 6 ÷2, you would carry out the multiplication first as it occurs first.
The mark scheme notes that vague answers or any answers with a mathematical error are unacceptable.

Answer : No
Any explanation that provides a counter-example is acceptable e.g. “Not if the number is 1”, “Not for 0” etc.

Answer : Any answer that refers to the fact that there is a 5 in the hundreds place, AND a 9 in the thousands place, so that the number has to be rounded up as far as the ten-thousands place.
SATs Maths Question Type 6: Sequence questions
Another relatively simple kind of reasoning question, sequence problems involve pupils completing mathematical sequences.
Consider this example:

Answer: 35 , 42, 49, 56 , 63, 70
Number sequence questions, particularly those that involve linear sequences or (as in this case) times tables, come up relatively frequently in the SATs maths tests. The question’s instructions point clearly to the solution: work out what the increase between numbers is, then apply this via addition or subtraction to find the missing numbers.
Higher attaining pupils might quickly pick up that this is in fact the 7 times table and rely on their knowledge of multiplication facts to obtain the answer – this should be encouraged so long as they then check their answer in the normal method to ensure they haven’t made a mistake.

Answer(s) : 5/8 and 2 1/8 (OR 17/8)
Both answers must be correct to receive the mark. Pupils must recognise that 3/4 is the same as 6/8, so that the following number must be three eighths higher.

Answer(s) : -19 and 9

Answer(s) : 128, 135 and 156.

Answer(s) : -10 and 22
This question can be a little tricky; pupils need to work out that the marks on the line represent increments of 4, and count backwards and forwards in 4s to obtain the missing numbers.
SATs Maths Question Type 7: Ordering questions
A slightly more complex variation of the sequence question, ordering problems require pupils to put a set of numbers, fractions or measures in the correct order.
A good example is this question from Paper 2 of the 2018 SATs:

Answer: 3/5, 3/4, 6/5
This question throws a stick in the wheels by including an improper fraction, but this is hardly unusual. These sorts of questions are just the place to find other ‘curveballs’ such as equivalent fractions, mixed numbers and decimals and fractions combined.
A good knowledge of the fundamentals of fractions is essential here: pupils must understand what a larger denominator means, and the significance of a fraction with a numerator greater than its denominator.

Answer : D,C,A,B
Encourage pupils to convert all the fractions to one denominator value to make ordering easier.

Answer : (descending down the ‘Place’ column) 3rd, 5th, 2nd, 4th
As with the example above, pupils should be encouraged to convert the fractions to make it easier to order them.

Answer : C, B, D, A

Answer : D, A, C, B
7 Top Tips For Answering SATs Questions
Now that we’ve covered how to answer some specific types of reasoning questions, here are some more generic tips for success in the reasoning papers. They may not all be applicable to every single question type, but will apply to at least two, usually more.
- Get pupils in the habit for any practice paper of identifying what information they’re given in a question, and what they need to know to solve the problem. This helps them start to form the steps needed to find the solution.
- Ask pupils to ‘spot the maths’ in a question – which calculations or skills do they actually need to use to solve the problem? This is useful even for arithmetic questions – it’s no surprise how often children can misread a question.
- Check the units! Especially in questions involving multiple measures, it can be easy to give the answer in the wrong one. The answer box might give a specific unit of measurement, so pupils should work to give their answer in that unit.
- In a similar vein, remind pupils to convert different units of measurement in a question into the same unit to make calculations easier e.g. kg to g.
- Encourage numerical answers where possible. Even in explanation questions demonstrating the mathematical calculation is a better explanation than trying to write it out.
- The bar model can be a useful way of visualising many different types of questions, and might make it easier to spot the ‘steps’ needed for the solution.
- Check your working out! Even if the working is ultimately irrelevant to the question, you can lose marks if it is wrong.
More SATs Questions and Maths Revision Resources
- 75 KS2 SATs Questions Reasoning and Arithmetic practice questions by topic – includes fractions, decimals, percentages; place value; addition and subtraction.
- 20 Year 6 SATs revision maths worksheets and more
- Third Space Learning’s recommended programme of maths revision for year 6
- KS2 SATs Papers 2016
- KS2 SATS Papers 2017
- KS2 SATs Papers 2018
- KS2 SATs Papers 2019
- KS2 SATs Paper 2022
- And for hundreds more free and premium maths resources join the Third Space Learning Mathshub .
Online 1-to-1 maths lessons trusted by schools and teachers Every week Third Space Learning’s maths specialist tutors support thousands of pupils across hundreds of schools with weekly online 1-to-1 lessons and maths interventions designed to plug gaps and boost progress. Since 2013 we’ve helped over 80,000 primary and secondary school pupils become more confident, able mathematicians. Learn more or request a personalised quote to speak to us about your school’s needs and how we can help.
Related Articles

FREE KS2 maths SATs practice papers
Get ready for SATs with this set of 6 maths SATs practice papers designed to help your Year 6 pupils improve test skills and build confidence.
Includes: - 2 arithmetic and 4 reasoning papers that follow the National Curriculum Assessments. - Mark schemes to diagnose and assess where your pupils need extra support.
Privacy Overview
Reasoning/Problem Solving Maths Worksheets for Year 6 (age 10-11)
Holiday problem solving.
A tricky selection of resources all linked to a holiday theme.

Very tricky to find the best options.

Very tricky calculations to find the best deal.

Finding the best deal is harder than it might seem!

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

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

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

Much trickier than it first looks, with many possible options to choose from. Some time is needed to complete this correctly.
Problem Solving
A variety of problem solving activities including time and money.

A perimeter/area investigation.

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

Find the cost of different numbers of houseplants.

Tricky addition which may need jottings to complete.

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

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

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

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

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

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

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

More on choosing the most appropriate method of calculating.
Investigate Numbers and Patterns
Investigate numbers and patterns, including sequences.

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

Show all your calculating skills with just four fours.

A first look at triangle numbers.

More on triangle numbers.

Further investigations involving triangle numbers.

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

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

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

Investigate numbers and shapes; quite tricky.

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

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

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

Tips and hints on how to use a calculator to ensure correct answers.
Subscribe to our newsletter
The latest news, articles, and resources, sent to your inbox weekly.
© Copyright 2011 - 2023 Route One Network Ltd. - URBrainy.com 4.0

Free Mathematics Tutorials
Grade 6 maths word problems with answers.
Grade 6 maths word problems with answers are presented. Some of these problems are challenging and need more time to solve. Also detailed solutions and full explanations are included.
- Two numbers N and 16 have LCM = 48 and GCF = 8. Find N.
- If the area of a circle is 81pi square feet, find its circumference.
- Find the greatest common factor of 24, 40 and 60.
- In a given school, there are 240 boys and 260 girls. a) What is the ratio of the number of girls to the number of boys? b) What is the ratio of the number of boys to the total number of pupils in the school?
- If Tim had lunch at $50.50 and he gave 20% tip, how much did he spend?
- Find k if 64 ÷ k = 4.
- Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?
- What is x if x + 2y = 10 and y = 3?
- A telephone company charges initially $0.50 and then $0.11 for every minute. Write an expression that gives the cost of a call that lasts N minutes.
- A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?
- A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?
- A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?
- A small square of side 2x is cut from the corner of a rectangle with a width of 10 centimeters and length of 20 centimeters. Write an expression in terms of x for the area of the remaining shape.
- A rectangle A with length 10 centimeters and width 5 centimeters is similar to another rectangle B whose length is 30 centimeters. Find the area of rectangle B.
- A school has 10 classes with the same number of students in each class. One day, the weather was bad and many students were absent. 5 classes were half full, 3 classes were 3/4 full and 2 classes were 1/8 empty. A total of 70 students were absent. How many students are in this school when no students are absent?
- The perimeter of square A is 3 times the perimeter of square B. What is the ratio of the area of square A to the area of square B.
- John gave half of his stamps to Jim. Jim gave gave half of his stamps to Carla. Carla gave 1/4 of the stamps given to her to Thomas and kept the remaining 12. How many stamps did John start with?
- Two balls A and B rotate along a circular track. Ball A makes 4 full rotations in 120 seconds. Ball B makes 3 full rotation in 60 seconds. If they start rotating now from the same point, when will they be at the same starting point again?
- A segment is 3 units long. It is divided into 9 parts. What fraction of a unit are 2 parts of the segment?
- A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
- Carla is 5 years old and Jim is 13 years younger than Peter. One year ago, Peter's age was twice the sum of Carla's & Jim's age. Find the present age of each one of them.
- Linda spent 3/4 of her savings on furniture. She then spent 1/2 of her remaining savings on a fridge. If the fridge cost her $150, what were her original savings?
- The distance bewteen Harry and Kate is 2500 meters. Kate and Harry start walking toward one another and Kate' dog start running back and forth between Harry and Kate at a speed of 120 meters per minute. Harry walks at the speed of 40 meters per minute while Kate walks at the speed of 60 meters per minute. What distsnce will the dog have travelled when Harry and Kate meet each other?
Answers to the Above Questions
- a) 13:12 b)12:25
- 0.50 + N * 0.11
- 4.5 gallons
- 450 centimeters squared
- 108 cubic centimeters
- 1250 meters/minute
- Carla:5 years, Jim: 6 years, Peter: 19 years.
- 3000 meters

Popular Pages
- Grade 6 Math word Problems With Solutions and Explanations
- Middle School Math (Grades 6, 7, 8, 9) - Free Questions and Problems With Answers
- Grade 7 Math word Problems With Answers
- Math Word Problems with Answers for Grade 5
- Percent - Grade 6 Math Questions and Problems With Answers
Quick Links
- Privacy Policy
Year 6 problem solving questions
Apps can be a great way to help students with their algebra. Let's try the best Year 6 problem solving questions.
Proportions word problems
I'm so sad though that features like detailed explanation e, and the best part is that it's absolutely free, no ads, and does not require wifi and in app purchases. Phenomenal, it is absolutely really helpful. I'm one of those smart kids who don't want to put in effort to be smart.
Kristopher Kim

Year 6 Maths Problems
Clear up math tasks
Math can be a difficult subject for many people, but there are ways to make it easier.
Get Study is a great way to improve your grades.
Math learning that gets you
Math learning that gets you excited and engaged is the best way to learn and retain information.
Daily Math Word Problems

Problem solving maths year 6
To solve maths problems at year 6 it is very important for your child to be able to instantly recall addition and subtraction facts up to 20
KS2 Reasoning & Problem Solving Questions
Grade 6 Maths word Problems With Answers Two numbers N and 16 have LCM = 48 and GCF = 8. If the area of a circle is 81pi square feet, find its circumference.
Year 6 tasks
This feature details how NRICH can help you embed a problem-solving approach in your classroom.
Determine mathematic equation
To determine a mathematic equation, one would need to first identify the problem or question that they are trying to solve.
Clarify math tasks
We're here for you 24/7. Whether you need help with a product or just have a question, our customer support team is always available to lend a helping hand.
Explain math equations
One way to ensure that math tasks are clear is to have students work in pairs or small groups to complete the task. This allows for immediate feedback and clarification if needed.
Year 6 Maths Problems
Some questions in the Mid Primary section could be used with younger students as an oral problem solving activity to model how to solve the problems. Mid
- 24/7 Live Expert
- Obtain Help with Homework
- Passing Rate
- Instant Professional Tutoring
- Learn step-by-step
Grade 6 Math word Problems With Answers
What customers say.
Honestly this has helped me a ton in math, when I can't figure out how to do a problem or what I'm doing wrong, the only problem is it can't read graphs but that's all I can think of. I definitely recommend this app to all of you it's very LEGIT.
John Archer
The camera sometimes take a little time to focus, but that's the only thing everything else is actually really good love this app that helps me with my homework and things that I need to do over the summer and stuff, so if you're looking for an app that will help you, then you should get this app.
David Parker
Maths Problem Cards Year 6
Problem solving maths questions year 6
Problem solving maths questions year 6 is a mathematical tool that helps to solve math equations.

What customers are saying about us
Good for high school. It is very good and helpful but it requires money, and this is free also and the app size is low which is very good thing. I've been using it for a year now.
Even better after the sound is gone, s for situations that it cannot calculate an equation, it contains a very precise calculator built in, definitely recommend if you're having problems in math.
Year 6 tasks
35 sats maths questions year 6 sats reasoning practice.
This booklet contains over 40 reasoning and problem solving questions suitable for KS2 and KS3 classes. These are the questions that we have been putting
Decide math problems
With Decide math, you can take the guesswork out of math and get the answers you need quickly and easily.
Get Support
Our expert tutors can help you with any subject, any time.
Scan math problem
If you're struggling with a math problem, scanning it for key information can help you solve it more quickly.

Year 6 problem solving questions
This booklet contains over 40 reasoning and problem solving questions suitable for KS2 and KS3 classes. These are the questions that we have been putting

This collection of mixed KS2 topic word problems are perfect for helping your Year 6 maths class develop their problem solving skills.
Mathematics is the study of numbers, shapes, and patterns. It is used to solve problems in a variety of fields, including science, engineering, and finance.
In order to determine what the math problem is, you will need to look at the given information and find the key details. Once you have found the key details, you will be able to work out what the problem is and how to solve it.
Math can be tough, but with a little practice, anyone can master it.
Daily Math Word Problems
20 word problems for year 6: develop problem solving skills.
20 maths problem cards for year 6 children to help improve reasoning skills. Includes problems involving addition, subtraction, multiplication and division.
Solve math problems
Solving math problems can be a fun and rewarding experience.
Deal with mathematic equations
You can always count on our 24/7 customer support to be there for you when you need it.
Explain mathematic problems
Math is a subject that can be difficult for some students to grasp. However, with a little practice and perseverance, anyone can learn to love math!
Answers in 5 seconds
If you need help, our customer service team is available 24/7.
KS2 Reasoning & Problem Solving Questions
More ways to get app.

Maths Problem Cards Year 6
Some questions in the Mid Primary section could be used with younger students as an oral problem solving activity to model how to solve the problems. Mid
What our people say
With our country in lockdown, it's difficult to contact my math teacher and even more difficult to understand new equations that I struggle with. I think that I'd have an even better experience if i could buy plus.
Incredible, and they keep updating and adding more solutions for problems, absolute life saver for checking problems and understanding the math, how many homeworks i cheated, just kidding,this is the first all that actually works and i have been using it for a year ,it provides step by step and fomulas ,it actually teaches you more then you think,it allowed me to get better marks for my homework as i get to check my answer ,even if you cant scan you can type the question in ,it is really helpful ,i love it well deserved 5 stars.
The best part is that it recognizes the questions quickly, simple app and easy to use, this app is amazing for people who need help with math. Great user interface and its very fast, anyone who wants help with random hard HW questions, I would recommend this app over all others.
Maths Word Problems

Year 6 maths
IXL offers hundreds of year 6 maths skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, state standards, or standardized test.
A. Whole numbers
- 1 Place values in whole numbers
- 2 Word names for numbers
- 3 Roman numerals
B. Multiplication
- 1 Multiply using area models I
- 2 Multiply using area models II
- 3 Multiply using the distributive property
- 4 Lattice multiplication
- 5 Multiply whole numbers
- 6 Multiply whole numbers: word problems
- 7 Multiply numbers ending in zeroes
- 8 Multiply numbers ending in zeroes: word problems
- 9 Multiply three or more numbers
- 10 Multiply three or more numbers: word problems
- 11 Estimate products
- 12 Properties of multiplication
- 13 Solve using properties of multiplication
C. Division
- 1 Divisibility rules
- 2 Divide by two-digit numbers
- 3 Divide by two-digit numbers: word problems
- 4 Division patterns with zeroes
- 5 Divide numbers ending in zeroes: word problems
- 6 Estimate quotients using compatible numbers
- 7 Estimate quotients
D. Exponents
- 1 Write multiplication expressions using exponents
- 2 Evaluate exponents
- 3 Find the missing exponent or base
E. Number theory
- 1 Prime or composite
- 2 Identify factors
- 3 Prime factorisation
- 4 Prime factorisation with exponents
- 5 Highest common factor
- 6 Lowest common multiple
- 7 HCF and LCM: word problems
- 8 Square numbers
F. Decimals
- 1 What decimal number is illustrated?
- 2 Decimal place values
- 3 Word names for decimal numbers
- 4 Put decimal numbers in order
- 5 Inequalities with decimals
- 6 Round decimals
- 7 Round whole numbers and decimals: find the missing digit
- 8 Decimal number lines
G. Addition and subtraction
- 1 Add and subtract whole numbers up to millions
- 2 Add and subtract whole numbers: word problems
- 3 Properties of addition
- 4 Estimate sums and differences of whole numbers
- 5 Estimate sums and differences: word problems
- 6 Add decimal numbers
- 7 Subtract decimal numbers
- 8 Add and subtract decimal numbers
- 9 Add and subtract decimals: word problems
- 10 Estimate sums and differences of decimals using rounding
- 11 Estimate sums and differences of decimals using benchmarks
- 12 Maps with decimal distances
H. Multiply and divide decimals
- 1 Multiply a decimal by a power of ten
- 2 Multiply a decimal by a one-digit number using the distributive property
- 3 Multiply a decimal by a one-digit whole number
- 4 Multiply a decimal by a two-digit number using area models
- 5 Multiply a decimal by a multi-digit whole number
- 6 Multiply decimals and whole numbers: word problems
- 7 Multiply two decimals
- 8 Estimate products of decimal numbers
- 9 Inequalities with decimal multiplication
- 10 Divide decimals by powers of ten
- 11 Decimal division patterns over increasing place values
- 12 Divide a decimal by a power of ten: find the missing number
- 13 Divide decimals using area models: complete the equation
- 14 Divide decimals by whole numbers
- 15 Divide decimals by whole numbers: word problems
I. Fractions and mixed numbers
- 1 Fractions and mixed numbers review
- 2 Understanding fractions: word problems
- 3 Find equivalent fractions using area models
- 4 Graph equivalent fractions on number lines
- 5 Equivalent fractions
- 6 Write fractions in lowest terms
- 7 Fractions: word problems
- 8 Lowest common denominator
- 9 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
- 14 Convert decimals to fractions or mixed numbers
- 15 Convert between decimals and fractions or mixed numbers
- 16 Put a mix of decimals, fractions and mixed numbers in order
J. Add and subtract fractions
- 1 Add and subtract fractions with like denominators using number lines
- 2 Add and subtract fractions with like denominators
- 3 Add and subtract fractions with like denominators: word problems
- 4 Inequalities with addition and subtraction of like fractions
- 5 Add fractions with unlike denominators using models
- 6 Add fractions with unlike denominators
- 7 Subtract fractions with unlike denominators using models
- 8 Subtract fractions with unlike denominators
- 9 Add and subtract fractions with unlike denominators: word problems
- • New! Estimate sums and differences of fractions using benchmarks
- 10 Add and subtract mixed numbers with like denominators
- 11 Add and subtract mixed numbers with unlike denominators
- 12 Add and subtract mixed numbers with like or unlike denominators: word problems
- 13 Estimate sums and differences of mixed numbers
K. Multiply fractions
- 1 Fractions of a number
- 2 Fractions of a number: word problems
- 3 Multiply unit fractions by whole numbers using number lines
- 4 Multiples of fractions
- 5 Multiply fractions by whole numbers using number lines
- 6 Multiply fractions by whole numbers I
- 7 Multiply fractions by whole numbers II
- 8 Estimate products of fractions and whole numbers
- 9 Multiply fractions by whole numbers: input/output tables
- 10 Multiply mixed numbers and whole numbers
L. Integers
- 1 Understanding integers
- 2 Integers on number lines
- 3 Graph integers on horizontal and vertical number lines
- 4 Compare and order integers using number lines
- 5 Compare integers
- 6 Put integers in order
- 7 Add integers using number lines
- 8 Subtract integers using number lines
M. Mixed operations
- 1 Add, subtract, multiply or divide two whole numbers
- 2 Add, subtract, multiply or divide two whole numbers: word problems
- 3 Evaluate numerical expressions
- 4 Evaluate numerical expressions with brackets
- 5 Identify mistakes involving the order of operations
- 6 Evaluate numerical expressions with brackets in different places
- 7 Add, subtract, multiply or divide two decimals
- 8 Add, subtract, multiply or divide two decimals: word problems
- 9 Evaluate numerical expressions involving decimals
- 10 Add, subtract or multiply two fractions
- 11 Add, subtract or multiply two fractions: word problems
N. Problem solving and estimation
- 1 Estimate to solve word problems
- 2 Multi-step word problems
- 3 Word problems with extra or missing information
- 4 Guess-and-check word problems
- 5 Distance/direction to starting point
- 6 Use logical reasoning to find the order
O. Ratios and rates
- 1 Write a ratio
- 2 Write a ratio: word problems
- 3 Identify equivalent ratios
- 4 Write an equivalent ratio
- 5 Unit rates and equivalent rates
P. Percents
- 1 What percentage is illustrated?
- 2 Convert fractions to percents using grid models
- 3 Convert between percents, fractions and decimals
- 4 Convert between percents, fractions and decimals: word problems
- 5 Compare percents to each other and to fractions
- 6 Compare percents and fractions: word problems
- 7 Estimate percents of numbers
- 8 Percents of numbers and money amounts
- 9 Percents of numbers: word problems
- 10 Find what percent one number is of another
- 11 Find what percent one number is of another: word problems
Q. Units of measurement
- 1 Estimate metric measurements
- 2 Convert and compare metric units of length
- 3 Convert and compare metric units of mass
- 4 Convert and compare metric units of volume
- 5 Convert and compare metric units
- 6 Convert metric units involving decimals
- 7 Conversion tables
- 8 Metric mixed units
- 9 Convert between cubic centimetres, millilitres and litres
- 10 Convert between square metres and hectares
- 11 Compare temperatures above and below zero
- 1 Find the number of each type of coin
- 2 Add and subtract money amounts
- 3 Add and subtract money amounts: word problems
- 4 Multiply money by whole numbers
- 5 Multiply money: word problems
- 6 Divide money amounts
- 7 Divide money amounts: word problems
S. Consumer maths
- 1 Which is the better coupon?
- 2 Unit prices
- 3 Unit prices with fractions and decimals
- 4 Sale prices
- 1 Elapsed time
- 2 Elapsed time: word problems
- 3 Find start and end times
- 4 Time units
- 5 Convert between 12-hour and 24-hour time
- 6 Reading schedules
- 7 Transportation schedules
U. Coordinate plane
- 1 Objects on a coordinate plane - first quadrant only
- 2 Objects on a coordinate plane - all four quadrants
- 3 Graph points on a coordinate plane
- 4 Quadrants
- 5 Coordinate planes as maps
- 6 Follow directions on a coordinate plane
V. Number sequences
- 1 Arithmetic sequences with whole numbers
- 2 Arithmetic sequences with decimals
- 3 Arithmetic sequences with fractions
- 4 Complete an increasing number sequence
- 5 Complete a geometric number sequence
- 6 Use a rule to complete a number sequence
- 7 Identify mistakes in number patterns
- 8 Number sequences: word problems
- 9 Number sequences: mixed review
- 10 Shape patterns
W. Variable expressions
- 1 Write variable expressions
- 2 Write variable expressions: word problems
- 3 Evaluate variable expressions with whole numbers
- 4 Identify terms and coefficients
X. One-variable equations
- 1 Does x satisfy an equation?
- 2 Which x satisfies an equation?
- 3 Write an equation from words
- 4 Model and solve equations using algebra tiles
- 5 Write and solve equations that represent diagrams
- 6 Solve one-step equations with whole numbers
- 7 Solve one-step equations: word problems
Y. Two-dimensional figures
- 1 Identify and classify polygons
- 2 Measure and classify angles
- 3 Find a missing angle - adjacent angles
- 4 Estimate angle measurements
- 5 Name angles
- 6 Identify complementary, supplementary, vertical, adjacent and congruent angles
- 7 Find measures of complementary, supplementary, vertical and adjacent angles
- 8 Transversal of parallel lines
Z. Symmetry and transformations
- 2 Reflection, rotation and translation
- 3 Translations: graph the image
- 4 Reflections: graph the image
- 5 Rotations: graph the image
- 6 Sequences of transformations: graph the image
AA. Three-dimensional figures
- 1 Identify polyhedra
- 2 Which figure is being described?
- 3 Nets of three-dimensional figures
- 4 Front, side and top view
- 5 Cross sections of three-dimensional figures
BB. Geometric measurement
- 1 Perimeter
- 2 Area of squares and rectangles
- 3 Area and perimeter of figures on grids
- 4 Area and perimeter: word problems
- 5 Rectangles: relationship between perimeter and area
- 6 Compare area and perimeter of two figures
CC. Data and graphs
- 1 Interpret picture graphs
- 2 Create picture graphs
- 3 Interpret dot plots
- 4 Create dot plots
- 5 Interpret stem-and-leaf plots
- 6 Create stem-and-leaf plots
- 7 Create frequency tables
- 8 Interpret bar graphs
- 9 Create bar graphs
- 10 Interpret double bar graphs
- 11 Create double bar graphs
- 12 Circle graphs with fractions
- 13 Interpret line graphs
- 14 Create line graphs
- 15 Interpret double line graphs
- 16 Create double line graphs
- 17 Choose the best type of graph
DD. Statistics
- 1 Calculate the mean
- 2 Calculate the median
- 3 Calculate the mode
- 4 Calculate the range
- 5 Interpret charts to find the mean
- 6 Interpret charts to find the median
- 7 Interpret charts to find the mode
- 8 Interpret charts to find the range
- 9 Mean, median, mode and range: find the missing number
EE. Probability
- 1 Combinations
- 2 Probability of one event
- 3 Make predictions
- 4 Experimental probability
- 5 Probability of opposite, mutually exclusive and overlapping events
- 6 Identify independent and dependent events
Accessibility links
- Skip to content
- Accessibility Help
Maths problems
Do you love solving problems and puzzles well, you're in the right place..
Bitesize has partnered with White Rose Maths to provide some problem solving questions to have a go at. If you want to solve more problems then find them on the White Rose Maths site here .
To start us off, here are six of teachers' favourite problems from the last three years. These problems gradually get more difficult as you move through the quiz, so don't worry if you get stuck. Why not try getting your family involved?

Maths challenge: Can you predict the patterns?
Stretch your brain with these geometric teasers.

How to stay positive about maths when teaching your kids
Advice for parents from the National Numeracy charity

Challenge: Can you sort these monarchs into the correct order?
Put your memory to the test by re-arranging these familiar historical faces.
Check out BBC Bitesize KS2 maths for more activities, videos and guides for students.

Maths game - Guardians: Defenders of Mathematica
Use your times tables and more maths skills to defeat monsters and reclaim the Kingdom of Mathematica in this cool free game from BBC Bitesize.

Year 6 maths worksheets pdf | maths questions year 6
Year 6 maths worksheets pdf | maths questions year 6 - A collection of math worksheets for children between the ages 10 and 11 years old, U.K. math revision activities.
Adding money

Adding money printable math worksheet
Print here >
Addition circle drill

Addition circle drill printable math worksheet

Addition of 3 numbers printable math worksheet

Addition of 4 numbers printable math worksheet

Addition up to hundred thousands printable math worksheet
Addition up to millions printable math worksheet

Addition with regrouping printable math worksheet

Algebra evaluating expressions printable math worksheet
Algebra number problems

Algebra number problems printable math worksheet
Algebra solving for the variable

Algebra solving for the variable printable math worksheet
Pre algebra addition equations

Pre algebra addition equations printable math worksheet
Pre algebra equations

Pre algebra equations printable math worksheet
Add coins usd

Add coins usd printable math worksheet
Money buying

Money buying printable math worksheet

Shopping printable math worksheet
Addition of 3 decimals

Addition of 3 decimals printable math worksheet
Addition of decimals

Addition of decimals printable math worksheet
Algebra decimals

Algebra decimals printable math worksheet
Compare decimals

Compare decimals printable math worksheet
Convert fractions to decimals

Convert fractions to decimals printable math worksheet
Decimal patterns

Decimal patterns printable math worksheet

Illustrated decimal exercise

Illustrated decimal exercise printable math worksheet
Multiply decimals

Multiply decimals printable math worksheet
Round up decimals

Round up decimals printable math worksheet
Subtraction with decimals

Subtraction with decimals printable math worksheet
Basic long division

Basic long division printable math worksheet
Divide 2 by 1 digit numbers

Divide 2 by 1 digit numbers printable math worksheet
Divide 3 by 1 digit numbers

Divide 3 by 1 digit numbers printable math worksheet
Division circle drill

Division circle drill printable math worksheet
Division match up exercise

Division match up exercise printable math worksheet
- Division of whole numbers by fractions

Division of whole numbers by fractions printable math worksheet
Division table drill

Division table drill printable math worksheet
Long division

Long division printable math worksheet
Long division with remainder

Long division with remainder printable math worksheet
Addition of fractions

Addition of fractions printable math worksheet
Addition of mixed fractions

Addition of mixed fractions printable math worksheet

Division of fractions

Division of fractions printable math worksheet
Division of mixed fractions

Division of mixed fractions printable math worksheet
- Equivalent fractions

Equivalent fractions printable math worksheet
Fraction of numbers

Fraction of numbers printable math worksheet
Multiplication of mixed fractions

Multiplication of mixed fractions printable math worksheet
Simplify fractions

Simplify fractions printable math worksheet
Subtraction of fractions

Subtraction of fractions printable math worksheet
Subtraction of mixed fractions

Subtraction of mixed fractions printable math worksheet
Area of circles

Area of circles printable math worksheet
Area of circles 2

Area of circles 2 printable math worksheet
Circumference of circles

Circumference of circles printable math worksheet
Geometry identifying segments

Geometry identifying segments printable math worksheet
Measure angles with a protractor

Measure angles with a protractor printable math worksheet
Perimeter and area of complex shapes

Perimeter and area of complex shapes printable math worksheet
Perimeter and area of l shapes

Perimeter and area of l shapes printable math worksheet
Perimeter and area of rectangles

Perimeter and area of rectangles printable math worksheet
Polygons sides vertices

Polygons sides vertices printable math worksheet
Pythagorean theorem

Pythagorean theorem printable math worksheet

Shapes printable math worksheet
Solid and planar figures

Solid and planar figures printable math worksheet
Symmetrical shapes

Symmetrical shapes printable math worksheet
Symmetry real life objects

Symmetry real life objects printable math worksheet
Symmetry with shapes

Symmetry with shapes printable math worksheet
Bar and linear graphs practice sheet

Bar and linear graphs practice sheet printable math worksheet
- Coordinates

Coordinates printable math worksheet
Freedom of setting graph

Freedom of setting graph printable math worksheet
Graph and data

Graph and data printable math worksheet
Graphs locate in x y

Graphs locate in x y printable math worksheet
Linear graphs

Linear graphs printable math worksheet
Ploting graphs

Ploting graphs printable math worksheet

Tables printable math worksheet
Venn diagrams

Venn diagrams printable math worksheet
Venn diagrams 2

Venn diagrams 2 printable math worksheet
X y coordinate practice sheet

X y coordinate practice sheet printable math worksheet
Converting scales mm cm ft yd

Converting scales mm cm ft yd printable math worksheet
Measure angles

Measure angles printable math worksheet
Measure rectangles and calculate the area

Measure rectangles and calculate the area printable math worksheet
Meaurements thermometer

Meaurements thermometer printable math worksheet
Mix operations

Mix operations printable math worksheet
Multiplication by 1 digit numbers

Multiplication by 1 digit numbers printable math worksheet
Multiplication by 2 digit numbers

Multiplication by 2 digit numbers printable math worksheet
Multiplication match up

Multiplication match up printable math worksheet
Multiplication of fractions

Multiplication of fractions printable math worksheet
Multiplication table drill

Multiplication table drill printable math worksheet
Multiplication with money values

Multiplication with money values printable math worksheet
Counting patterns

Counting patterns printable math worksheet

Factors printable math worksheet
Greatest common factor

Greatest common factor printable math worksheet
Lowest common multiple

Lowest common multiple printable math worksheet
Prime and composite numbers

Prime and composite numbers printable math worksheet
Roman numerals

Roman numerals printable math worksheet
Round up numbers

Round up numbers printable math worksheet
Round up numbers up to millions

Round up numbers up to millions printable math worksheet
Scientific notation 1

Scientific notation 1 printable math worksheet
Scientific notation 2

Scientific notation 2 printable math worksheet
Patterns complex

Patterns complex printable math worksheet
Patterns easy

Patterns easy printable math worksheet
Subtract up to hundred thousands

Subtract up to hundred thousands printable math worksheet
Subtract up to millions

Subtract up to millions printable math worksheet
Subtraction circle drill

Subtraction circle drill printable math worksheet
Subtraction table drill

Subtraction table drill printable math worksheet
Telling time am pm

Telling time am pm printable math worksheet
Telling time roman numeral clocks

Telling time roman numeral clocks printable math worksheet
Time after specific time

Time after specific time printable math worksheet
- Types of Angles 1
- Types of Angles 2
- Perimeter and Area of L- shapes 1
- Perimeter and Area of L- shapes 2
- Perimeter and Area of L- shapes 3
- Perimeter and Area of L- shapes 4
- Perimeter and Area of several shapes 1
- Perimeter and Area of several shapes 2
- Perimeter and Area of several shapes 3
- Perimeter and Area of rectangles and squares 1
- Perimeter and Area of rectangles and squares 2
- Perimeter and Area of rectangles and squares 3
- Perimeter and Area of rectangles and squares 4
- Perimeter and Area of rectangles and squares 5
- Perimeter and Area of rectangles and squares 6
- Perimeter and Area of triangles 1
- Perimeter and Area of triangles 2
- Perimeter and Area of triangles 3
- Perimeter and Area of triangles 4
- Circumference & Area of circles 1
- Circumference & Area of circles 2
- Circumference & Area of circles 3
- Circumference & Area of circles 4
- Pythagorean Theorem with triangles 1
- Pythagorean Theorem with triangles 2
- Pythagorean Theorem with triangles 3
- Pythagorean Theorem with triangles 4
- Pythagorean Theorem with triangles 5
- Pythagorean Theorem with triangles 6
- Pythagorean Theorem with triangles 7
Addition & Subtraction Worksheets
- Addition Worksheet 1
- Addition Worksheet 2
- Addition Worksheet 3
- Addition Worksheet 4
- Addition worksheet 5
- Addition worksheet 6
- Addition worksheet 7
- Addition worksheet 8
- Addition worksheet 9
- Addition worksheet 10
- Addition worksheet 11
- Addition worksheet 12
- Addition worksheet 13
- Addition worksheet 14
- Addition worksheet 15
- Addition worksheet 16
- Addition worksheet 17
- Addition worksheet 18
Subtraction Worksheets
- Subtraction 1
- Subtraction 2
- Subtraction 3
- Subtraction 4
- Subtraction 5
- Subtraction 6
- Subtraction 7
- Subtraction 8
- Subtraction 9
- Subtraction 10
- Subtraction 11
- Subtraction 12
- Subtraction 13
Algebra Worksheets
- Algebra Finding the value of the equation - Finding X sheet 1
- Algebra Finding the value of the equation - Finding X Sheet 2
- Defined variable 1
- Defined variable 2
- Defined variable 3
- Defined variable 4
- Number problems 1
- Number problems 2
- Number problems 3
- Number problems 4
- Pre-algebra addition sheet 1
- Pre-algebra addition sheet 2
- Pre-algebra addition sheet 3
- Pre-algebra addition with decimals sheet 1
- Pre-algebra addition with decimals sheet 2
- Pre-algebra addition with decimals sheet 3
- Pre-algebra division sheet 1
- Pre-algebra division sheet 2
- Pre-algebra division with decimals sheet
- Pre-algebra Multiplication & Addition sheet 1
- Pre-algebra Multiplication & subtraction sheet 1
- Pree-algebra Multiplication sheet 1
- Pre-algebra Multiplication sheet 2
- Pre-algebra Multiplication sheet 3
- Pre-algebra Multiplication with decimals sheet 1
- Pre-algebra Multiplication with decimals sheet 2
- Pre-algebra subtraction with decimals sheet 1
- Pre-algebra subtraction with decimals sheet 2
- Pre-algebra subtraction with decimals sheet 3
- Pre-algebra subtraction sheet 1
- Pre-algebra subtraction sheet 2
- Pre-algebra subtraction sheet 3
- Algebra worksheets - Single variable sheet 1
- Algebra worksheets - Single variable sheet 2
- Algebra worksheets - Single variable sheet 3
- Algebra worksheets - Single variable sheet 4
Decimals Worksheets
- Converting Fractions to decimals worksheet 1
- Converting Fractions to decimals worksheet 2
- Converting Fractions to Percentage
- Converting percentage to decimals
Division Worksheets
- Long Division Exercise
- Division with remainder Exercise
- Division word problem exercise
- Division problems - 1
- Division problems - 2
- Division problems - 3
- Division problems - 4
- Division problems - 5
- Division exercise 5
- Division exercise 6
- Division exercise 7
- Division exercise 8
- Division exercise 9
- Division exercise 10
- Long division exercise 11
- Long division exercise 12
- Long division exercise 13
- Long division exercise - with remainder 14
- Long division exercise - with remainder 15
- Long division exercise - with remainder 16
- Long division exercise 17
Fractions Worksheets
- Adding Fractions Worksheet Exercise
- Addition of fractions worksheet 2
- Comparison of fractions
- Adding Mixed Fractions Worksheet Exercise
- Converting Fractions to Percents
- Dividing Fractions Problem
- Equivalent Fractions Worksheet
- I mproper Fractions Worksheet Exercise
- Mixed to improper fractions worksheet exercise
- Multiplying fractions worksheet
- Multiplying fractions with whole numbers
- Subtracting fractions Worksheet
Graphs Worksheets
- Coordinates 1
- Coordinates 2
- Coordinates 3
- Plotting Graphs - Plotting temperatures
- Plotting altitudes - Plot altitudes at which the plane was flying
- Plotting X Y coordinates - Finding places
- Using coordinates to plot X and Y axis on graph
- Graphs and data 1
- Graphs and data 2
- Graphs and data 3
- Graphs and data 4
- Graphs and data 5
- Graphs and data 6
- Graphs and data 7
- Graphs and data 8
LCM (Lowest Common Multiple) & HCF (Highest Common Factor)
- Greatest common factor (HCF)
- Least Common Multiple
Metric System
- Kilometer hectometer dekameter meter decimeter centimeter millimeter worksheet
- Comparing objects to forms of standard measurements
Multplication Worksheets
- Multiplication worksheet 1
- Multiplication worksheet 2
- Multiplication Worksheet 3
- Multiplication worksheet 4
- Multiplication worksheet 5
- Multiplication worksheet 6
- Multiplication worksheet 7
- Multiplication worksheet 8
- Multiplication worksheet 9
- Multiplication worksheet 10
- Multiplication worksheet 11
- Multiplication worksheet 12
- Multiplication worksheet 13
- Multiplication worksheet 14
- Multiplication worksheet 15
- Multiplication worksheet 16
- Multiplication worksheet 17
- Multiplication worksheet 18
- Multiplication worksheet 19
- Multiplication worksheet 20
- Multiplication worksheet 21
Order of Operation - BODMAS
- Order of operations worksheet
- Sum up coins
- Value of coins in cents, dollars ....
Powers (Logarithms)
- Powers/Logarithms worksheet
- Subtractions worksheet 1
- Subtractions worksheet 2
Rounding up Numbers Math Worsheets
- Rounding up to the nearest hundred, 100 and thousand 1,000
- Rounding up numbers
- Rounding up numbers 1
- Rounding up numbers 2
- Rounding up numbers 3
- Rounding up numbers 4
- Rounding up numbers 5
- Rounding up numbers 6
- Rounding up numbers 7
- Rounding up numbers 8
- Rounding up numbers 9
- Rounding up numbers 10
- Rounding up numbers 11
- Rounding up numbers 12
- Rounding up numbers 13
- Rounding up numbers 14
- Rounding up numbers 15
- Addition of two one digit numbers
- Addition of 3 numbers vertically
- Addition of three numbers
- Addition of one to two digit numbers 1
- Addition of one to two digit numbers 2
- Calculate angles 1
- Calculate angles 2
- Long division sheet
- Find exponents of numbers 1
- Find exponents of numbers 2
- Addition of mix fractions
- Addition of fraction
- Simplification of fractions
- Measurements
- Money & Purchases
- Multiplication
- Multiplication 1
- Multiplication 2
- Multiplication 3
- Lowest Common Multiple ( L.C.M ) worksheet
- Prime / composite numbers worksheet
- Round up numbers worksheet
Percentages & Ratios
- Percentages of numbers sheet 1
- Percentages of numbers sheet 2
- Ratios & percentages sheet
Place value
- Place value worksheet
Reading time worksheet
- 5th Grade - Free Math Worksheets, Games, Tests etc - MathFox .
Interactive Math Games - 5 th Grade

Interactive Math Quizzes - 6th Grade

- Money - USD - Learn how to sum up coins, dimes, nickels, dollars...etc
- Fractions with Money and pie chart representation

- Adding like terms in algebra equations
- Fractions to Decimals Interactive Quiz Exercise
- Long Division Interactive quiz exercise
- Adding mixed fractions - quiz exercise
- Addition of fractions - quiz exercise
- Subtraction of Fractions quiz exercise
- Mixed to improper fractions quiz
- Multiplying Fractions Quiz Exercise
- Metric System Quiz Exercise
- Matching objects to metric systems or forms of measurements - quiz
- Greatest Common Factor quiz
- Lowest Common Multiple - quiz
- Multiplication Quiz Exercise
- Multiplication Price List Quiz Exercise
- Order of operation -Brackets - Of - Division - Multiplication - Addition - Subtraction
- Powers quiz - What is two to the second power?
- Subtraction quiz exercise
- Decimals multiplied by 10 to 100 quiz
- Decimals multiplied by decimals quiz
- Decimals to whole numbers
- Decimals multiplied by single numbers quiz
- Decimals Sequence quiz
- Fractions multiplied by fractions
- Fractions multiplied by whole numbers
- Multiplying three fractions
- Fractions subtraction Exercise Quiz
- Rounding Fractions to the nearest whole numbers
- Common Factors - Greatest Common Factors Quiz
- Common Factors Matching Exercise
- Divisibility Exercise Quiz
- Factorisation Exercise Quiz
- Factors Quiz Exercise
- Lowest Common Multiple
- Multiples of Numbers
- Intergers Sentence Exercise
- Intergers greater than and less than
- Prime and Composite Numbers
- Intergers Number Line Quiz
- Ratios Equivalent Rates and Rates Per Unit
- Comparing Percentages Exercise
- Converting percentages to decimals and fractions
- Percentage of numbers quiz
- Proportions Quiz Exercise
- Equivalent Ratios
- Ratio Tables Quiz
- Ratios Word problem quiz
- Ratios with illustrations quiz
- Scale Drawings Quiz
- Price list Quiz - Hit the back button after taking this quiz
- Number Progressions quiz - Arithmetic and Geometric Progressions
- Roman Numerals to thousands Quiz
- spelling Numbers to millions quiz
- spelling numbers to thousands quiz
- Illustrated Patterns quiz
- Patterns word problem quiz
- Progressions Arithmetic and Geometric Progressions Quiz
- Converting units quiz
- Time elapsed quiz
- Addition of decimal numbers quiz
- Decimals - completing the sequence quiz
- Fractions to Decimals quiz
- Illustrated decimals exercise test
- Geometry segments quiz
- Triangles - Kinds of triangles quiz
- Symmetry Geomerty quiz
We offer PDF printables in the highest quality.
- Preschool/kindergarten
- Grade 1 worksheets.
- Grade 2 - 6 Worksheets
Fun Games for Teaching Maths
- Penalty shooting game
- En Garde Duel Game
- Fling the teacher fun game
- More More Games.
Parents, teachers and educators can now present the knowledge using these vividly presented short videos. Simply let the kids watch and learn.
Quizzes are designed around the topics of addition, subtraction, geometry, shapes, position, fractions, multiplication, division, arithmetic, algebra etc.
Access the materials by looking at topics - Addition, Subtraction, Multiplication, Geometry, Trigonometry, algebra, Decimals, Division and more.
Picture this: a hassle-free math teaching session. How? Well, educational worksheets have proved to be particularly helpful and efficient for small children. So, it is essential to make the whole math teaching method exciting and intuitive.This is especially true for elementary learners with attention spans that exist for mere seconds before shifting to another. One way to achieve that is by using the Year 6 maths worksheets pdf pack herein. These worksheets offer a fundamentally different viewpoint on learning math principles, especially in Year 6. The worksheets provided here include all of the elements needed to provide a thoroughly immersive and exciting program that will persistently catch the learner's attention while teaching them the basics of mathematical operations in their fifth year of continuous study. Use these worksheets in your classes and notice the improvement in how your year 6 students learn. Add in some other learning tips here and there, and your classroom will be transformed for ever. The year 6 maths worksheets pdf free collection offered here is actually a complete revision test of all math topics studied at this level. Students will have a chance to review several notions either in the regular classroom or at home. Teachers can use these as test sheets in the classroom. Parents on the other hand who do not have good math skills will find it easy to use these sheets since there are answer keys attached to the second page of each sheet. Reviewing notions learned in school has never been this easy, year 6 maths revision worksheets give students a chance to review with so many problems ahead of their exams; getting them in a position to easily ace an A+ in all areas of competency. This level is for children between 10 years to 11 years old. We cover several topics in this level as follows:
- Year 6 algebra worksheets – This is one of the main competencies studied in key stage 2. Children learn how to solve math problems that contain alpha numeric expressions. Combining letters and numbers in equations may seem a little confusing at the start but with more revision, children will get a hold of the required tricks. There are activities here on algebraic expressions, linear equations, making the subject of the formula, L.C.M and H.C.F, and more.
- Long division questions year 6 – By now although children are versed with the notion of division, long division is still a stumbling block for some. We offer worksheets on this topic in which children get to divide large numbers through the long division method and find a remainder. Some numbers are divisible by others, hence there is no remainder in such cases. It is important to remember the rules of divisibility to be able to tell upfront if a number is divisible by another. Revising with the long division worksheets year 6 pack will dispel this myth.
- Percentage word problems year 6 – Students will be asked to find the percentage of numbers for example, 50% of 10 is 5 and so on. Percentages as a math skill can be applied in many word type problems like financial arithmetic, simple proportions, compound interest and more. Check out all the possible applications of percentages out there. Get a percentage word problems year 6 pdf sheet and start practicing now.
- Addition and subtraction word problems year 6 – This section covers the usual addition and subtraction notions involving large numbers. Children will also perfect their skills in addition with and without carrying. Same thing for subtraction. In addition this section, children will learn how to apply these skills in solving word problems and logic exercise which require more than one operation. This competency is applicable at almost all levels of key stage 2 math.
- Fraction word problems year 6 – Fractions represent portions of entire entities. However, it goes beyond that and gets more interesting when students start adding and subtracting it. These go through complex steps that students need to master. In addition, students will learn to divide and multiply fractions. Having mastered these skills, test your understanding by solving fraction word problems. Come back for more fraction questions for year 6.
- Ratio word problems year 6 – Like percentages, ratios are an expression of a relationship between entities. Around this concept, there are several activities which children can test on such as converting ratios to fractions, percentages and vice versa. Students will also solve problems in which they have to use ratio values to solve the distribution of money amongst subjects. Solve all ratio questions year 6 activities and become a pro at it.
- Multiplication word problems year 6 – Finding the product of two numbers is a skill children are quite familiar with, however, they continue to practice these skill in its application in multiplication word problems. Multiplying large numbers in some cases will require addition with regrouping skills. Year 6 multiplication worksheets in this section cover this topic in varied ways.
- Bodmas questions year 6 – We cover a series of questions through our bodmas worksheets year 6 collection. Bodmas is actually an acronym for Brackets, Of, Division, Multiplication, Addition and Subtraction. To solve problems containing several operations, children need to follow the right order. Without this order in mind, the answer will be incorrect most of the time. Solving mixed operations problems requires an understanding of bodmas.
- Area worksheets year 6 – Finding the area of figures is a big part of geometry studied in this level. Children will find the area of a square and rectangle through the simple formula of the length times the width, for circles they will use pie radius squared but for more complex shapes, they will require more advanced techniques. Check out this section for a complete revision of geometry.
- Maths word problems year 6 worksheets – Most of the topics covered in year 6 math, have word problems that go along with the relevant notions studied with hard numbers. Students get to review such skills and develop competencies in math logic.
Revision at home with these year 6 homework sheets has never been easier. Parents and teachers love these resources and we are constantly updating this section. Remember to come back for more.
Math practice for kids
- Math Worksheets
- Math Video Slides
- Math Quizzes
- Math Downloads
PRINTABLE EXERCISES
- Algebra & More
Interactive Math
- Subtraction Games
- Multiplication Quizzes
- Geometry Exercises
- Video Lessons
Teach Starter Teach Starter
Daily maths word problems - year 6 (worksheets).

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 out using a variety of methods.
An answer sheet has been included.

teaching resource
Daily maths problems - year 6.
A 44 slide editable PowerPoint Template for problem solving in mathematics.
Use mathematical modelling to solve practical problems, involving rational numbers and percentages, including in financial contexts; formulate the problems, choosing operations and efficient calculation strategies, and using digital tools where appropriate; interpret and communicate solutions in te
Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers
Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers and make estimates for these computations

Teach Starter Publishing
We create premium quality, downloadable teaching resources for primary/elementary school teachers that make classrooms buzz!
Find more resources like this
- Problem-Solving
- Word Problems
10 Comments
Write a review to help other teachers and parents like yourself. If you'd like to request a change to this resource, or report an error, select the corresponding tab above.

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

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

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

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

Hi. We are having issues with getting the “correct” answer for number 8?!

Hi Grace, thank you for bringing this to our attention. I have adjusted the question and answer for question 8 so it can now be solved correctly. You can now download the updated version. If you need more assistance, please do not hesitate to contact me.

Answer for question 20 is incorrect. The correct answer is $262.95. The group left a 15% tip of the original bill, therefore need to work out the original bill first before adding the 15%. Working out is: 7 x $43.20 = $302.40 Bill x 115% = $302.40 Therefore Bill = $302.40 divided by 115% = $262.95 Using calculator, replace 115% with 1.15. Reverse check: $262.95 x 0.15 = $39.4425 $262.95 + $39.4425 = $302.3925 You cannot just take 85% of the amount the group paid to get the original bill!
Hello Neil, Thanks so much for noticing this. The resource has been fixed and is ready for you to download again.

I think that the word of question 2 should be "how much does each pencil cost if" rather than "how much did the pencils cost?" as this implies the whole of the pencils.

Hi Alexander, thanks for your comment and for highlighting the need to reconsider the wording of question 2. I am looking into it now for you. Have a great day.
Resource updates
Question 8 needed adjustments on the quantities to make the problem work. This has been updated
Fixed the answer on Question 20.
Suggest a Change
Would you like something changed or customised on this resource? While our team makes every effort to complete change suggestions, we can't guarantee that every change will be completed.
Report an Error
Did you spot an error on this resource? Please let us know and we will fix it shortly.
Are you having trouble downloading or viewing this resource? Please try the following steps:
- Check that you are logged in to your account
- For premium resources, check that you have a paid subscription
- Check that you have installed Adobe Reader ( download here )
If you are still having difficulty, please visit the Teach Starter Help Desk or contact us .

Pizza Fraction Posters
Display information about fractions, decimals and percentages with this poster pack.

Equivalent Fractions on a Number Line – Differentiated Worksheets
Practise placing equivalent fractions on a number line with this cut-and-paste worksheet.

Simple Fractions – Task Cards
Identify unit fractions on a number line, aim to understand fraction models and discover dividing shapes into equal parts with this free set of 24 task cards.

Pop Art Products - Basketball Colour By Number Worksheet
Bring some pop art into the classroom with a multiplication colour-by-number worksheet.

Colour by Number Worksheet - Multiplication Facts (Rabbit)
Bring some colorful fun into your maths lessons with a multiplication colour by number worksheet.

Year 3 Fractions – Differentiated Assessment
Use this differentiated fractions test to assess concepts such as identifying fractions, using fraction models and determining the fraction of a set.

Basketball Mystery Grid - Addition to 20
Consolidate the skill of adding single-digit numbers up to twenty with a basketball-themed colour-by-number worksheet.

Halves and Quarters – Cut and Paste Worksheet
Practise sorting objects to consolidate students’ understanding of halves and quarters.

Fraction Strips
Promote hands-on learning in your classroom with this set of printable fraction strips.

Unit Fraction Puzzles
Find matching representations of fractions on a number line and visual models while piecing together a 4-piece puzzle.
Problem solving year 6
Problem solving year 6 can help students to understand the material and improve their grades.
Problem Solving
We hope to release more questions like this over the course of next year including some open ended problems. Please keep a look out for our work.
If you're looking to improve your educational performance, start by ensuring that you're getting enough sleep each night.
Math is a way of determining the relationships between numbers, shapes, and other mathematical objects.
One way to think about math problems is to consider them as puzzles. To solve a math problem, you need to figure out what information you have.
There's more to your application than just filling out the forms.
Maths Problem Cards Year 6
Questions 1, 4 and 7 (Problem Solving). Developing Use cards to create an algebraic equation and then create a matching word.

Year 6 Maths Problems
Ks2 reasoning & problem solving questions.

Daily Math Word Problems

Level: Year 6
Author: Leanne McMahon
Description:
According to the Australian Curriculum by the end of Year 6 students should be able to select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers. This is a skill that requires a great deal of practice and should be taught throughout the year, rather than as a designated unit. The following suggestions include a list of popular strategies for problem solving and some age-appropriate problems for students to work on.
List of Resources:
- Jo Boaler’s Weeks of inspirational Math are great sources of problems for all ages: https://www.youcubed.org/week-inspirational-math/
- NRICH is a great go-to for problem solving: https://nrich.maths.org/10334
- NCTM’s Illuminations has interactives as well as problems (Search for Problem Solving): https://illuminations.nctm.org/Default.aspx
- AAMT’s ReSolve is an Australian site that seeks to teach mathematics by inquiry: https://www.resolve.edu.au/
This activity covers the following Australian Curriculum – Mathematics Content:
- Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123)
For any questions or queries please contact: [email protected]

We acknowledge and pay respect to the Traditional Owners of the land upon which we operate
Planning ICE-EM Textbooks Teacher PD Maths Education Research PD Handouts Teacher Content Modules
Middle Years (SAMS) Senior Years (SAMS)
Number and Algebra Measurement and Geometry Units of Work Games
Maths Videos Podcasts Careers

- International
- Schools directory
- Resources Jobs Schools directory News Search
Measurement Word Problems - SATs Style - Year 6
Subject: Mathematics
Age range: 7-11
Resource type: Worksheet/Activity

Last updated
- Share through email
- Share through twitter
- Share through linkedin
- Share through facebook
- Share through pinterest
A selection of word problems used for a Year 6 measurement revision lesson, focusing on converting between units. Some of the questions are from previous SATs papers and some are similar but with numbers/wording changed. Answers are included.
Creative Commons "Sharealike"
Your rating is required to reflect your happiness.
It's good to leave some feedback.
Something went wrong, please try again later.
Very helpful resource including answers. Thank you for sharing.
Empty reply does not make any sense for the end user
Good worksheet!
Useful. A little more variety is needed, perhaps, but it is always amazing that teachers take the time to share their resources free of charge. Thank you.
Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.
Not quite what you were looking for? Search by keyword to find the right resource:
Cookie Consent
We use cookies to help provide a better website experience for you, and help us to understand how people use our website. Our partners will also collect data and use cookies for ad personalisation and measurement.
Clicking "Accept" will allow us and our partners to use cookies, learn more in our cookie policy or to change your cookie preferences, click "Manage".
To find out more about cookies and the types of cookies we are setting please visit our cookie policy .
If you'd prefer that certain types of cookie are not saved on your browser when visiting our website, use the toggles below to adjust those preferences and click "Save choices".
Strictly Necessary
These cookies are necessary for the website to function and without them you would not be able to reliably use the website. For example, logging into your account or completing forms.
Analytics Cookies
A series of cookies that collect anonymised data on how users interact with our website. This anonymous data helps us improve the website with a focus on its users, for example, ensuring the most popular content is easier to access.
View associated providers +
Marketing Cookies
These cookies track your online activity to help advertisers deliver more relevant and personalised advertising or to limit how many times you see an ad. These cookies can share that information with other organisations or advertisers.
Problems of the day

March Problems of the Day 2020 – KS2/KS3 Full Set
Here's the full set of KS2/KS3 problems from this year, along with answers.
March Problems of the Day 2020 – KS1 Full Set
Here's the full set of KS1 problems from this year, along with answers.
March Problems of the Day 2019 – GCSE Full Set
A set of GCSE problems covering content for foundation, foundation/higher crossover and higher. We hope they are useful in the run up to the exams. Good luck! #MathsEveryoneCan
March Problems of the Day 2019 – KS2 Full Set
Here is the full set of questions for KS2 Problems of the Day from March 2019.
March Problems of the Day 2019 – KS1 Full Set
Here is the full set of KS1 Problems of the Day that were released throughout March 2019.
March Problems of the Day 2018 – KS2 Full Set
For the month of March, each day we publish some reasoning and problem solving questions for use with your classes in the run-up to SATs. Practice is crucial to maths success, and our questions are designed to support your daily routines. These problems can be used across Y5 and Y6 throughout the year.
March Problems of the Day 2018 – KS1 Full Set
For the month of March, each day we publish some reasoning and problem solving questions for use with your classes in the run up to SATs. Practice is crucial to maths success, and our questions are designed to support your daily routines. These problems can be used across Y1 and Y2 throughout the year.
Problem solving questions maths year 6
Grade 6 maths word problems with answers are presented. Some of these problems are challenging and need more time to solve. Also detailed solutions and full

Maths Word Problems
Grade 6 math word problems with answers.

This helped clear up questions I had on my homework, even though some of the techniques in there were different. It's really great for helping people understand the concept of the work, but I feel like it may be easy to abuse, as in use and not get the concept.
Joseph Young

Get calculation support online
Instant Expert Tutoring
Free time to spend with your friends
GET SUPPORT INSTANTLY
KS2 Reasoning & Problem Solving Questions
20 maths problem cards for year 6 children to help improve reasoning skills. Includes problems involving addition, subtraction, multiplication and division.
With Instant Expert Tutoring, you can get help from a tutor anytime, anywhere.
Looking for a little help with your math homework? Check out our online calculation assistance tool!
If you want to get the best homework answers, you need to ask the right questions.
Solving math equations can be challenging, but it's also a great way to improve your problem-solving skills.
Problem solving questions year 2
Problem solving questions year 2 is a mathematical instrument that assists to solve math equations.

Daily Math Word Problems
Problem solving.
Primary Resources - free worksheets, lesson plans and teaching ideas for primary and elementary teachers.
No matter what you're working on, Get Tasks can help you get it done.
Solve mathematic questions
To solve a math equation, you need to find the value of the variable that makes the equation true.
Improve your theoretical performance
The best way to improve your theoretical performance is to practice as often as possible.
Get homework writing help
Get help from our expert homework writers!

Problem Solving Tasks for the following: Place Value Addition and Subtraction Multiplication and Division Fractions Money.
Learning math can be fun and rewarding!
You can get help with your calculations online from a variety of sources.
To determine what the math problem is, you will need to take a close look at the information given and use your problem-solving skills. Once you have determined what the problem is, you can begin to work on finding the solution.
It contains no unnecessary and inappropriate ads and it is very east to use, best app for solving maths(especially calculus), highly recommended. So tickled with the detailed instructions and easy navigations, it is super good.
Robert Ridgeway
So awesome I did not know you could take a picture instead of typing. I love this app. But overall, it's a great app. I did me going it will do you the same.

IMAGES
VIDEO
COMMENTS
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
Maths Problem-solving Maths Investigations for Year 6 By Nick Barwick 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.
Year 6 Maths Worksheets for problem solving and reasoning: Rapid Reasoning Children often struggle with maths reasoning at KS2, e specially in lower Key Stage 2. This set of more than 120 maths reasoning questions includes modelled answers and step by step guidance to support pupils through solving them.
For Year 6, the toughest of their SATs maths questions are the reasoning questions. With SATs 2023 coming up, your pupils need plenty of SATs exam practice to be familiar with both the types of SATs reasoning questions that can come up and the skills needed to answer them.
6 pages Solve problems involving time Solve problems involving time 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 An atlas with time zones is needed for the first activity and there are line graphs on time to interpret. 5 pages
Grade 6 maths word problems with answers are presented. Some of these problems are challenging and need more time to solve. Also detailed solutions and full explanations are included. Two numbers N and 16 have LCM = 48 and GCF = 8. Find N. If the area of a circle is 81pi square feet, find its circumference.
Year 6 problem solving questions. Different activity sheets that give children questions that look at their fluency, reasoning or problem solving skills for that area of Maths with the Get Started. Daily Math Word Problems Grade 6 Maths word Problems With Answers Two numbers N and 16 have LCM = 48 and GCF = 8. ...
Problem solving maths year 6 - Some questions in the Mid Primary section could be used with younger students as an oral problem solving activity to model how. Problem solving maths year 6.
Maths Problem Cards Year 6 Paper 2: reasoning and problem solving. Published Spring 2016. First name Year 6. These assessments have been designed by the White Rose Maths Hub.
20 Word Problems For Year 6: Develop Problem Solving Skills Some questions in the Mid Primary section could be used with younger students as an oral problem solving activity to model how to solve the problems. Mid 783 Tutors 4.5/5 Quality score 93803 Clients Get Homework Help
1 Multiply using area models I 2 Multiply using area models II 3 Multiply using the distributive property 4 Lattice multiplication 5 Multiply whole numbers 6 Multiply whole numbers: word problems 7 Multiply numbers ending in zeroes 8 Multiply numbers ending in zeroes: word problems 9 Multiply three or more numbers 10
Well, you're in the right place. Bitesize has partnered with White Rose Maths to provide some problem solving questions to have a go at. If you want to solve more problems then find them on the ...
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.
A 44 slide editable PowerPoint Template for problem solving in mathematics. This PowerPoint presentation 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 ...
year 6 problem solving area of a triangle powerpoint area of a triangle year 6 morning starter year 6 maths morning starter algebra white rose algebra year 6 year 6 maths scale factor long division year 6 rules of divisibility multiplying fractions fractions year 6 percentages year 6 algebra percentages year 6 order of operations year 6 common …
Best of all, Year 6 maths problem solving questions is free to use, so there's no sense not to give it a try! Solve Now. Daily Maths Word Problems. Grade 6 maths word problems with answers are presented. Some of these problems are challenging and need more time to solve. Also detailed solutions and full
Year 6 maths worksheets pdf | maths questions year 6 Year 6 maths worksheets pdf | maths questions year 6 - A collection of math worksheets for children between the ages 10 and 11 years old, U.K. math revision activities. Adding money Adding money printable math worksheet Print here > Addition circle drill
In Maths Problem-Solving Upgrade to Download PDF | 6 pages | Years: 6 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.
Problem solving year 6 - This Problem solving year 6 helps to quickly and easily solve any math problems. Math Methods Solve Now Problem solving year 6 ... Year 6 tasks. Questions 1, 4 and 7 (Problem Solving). Developing Use cards to create an algebraic equation and then create a matching word. 1.
According to the Australian Curriculum by the end of Year 6 students should be able to select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers.
Topics Weather and Seasons Everyday Life Festivals and Celebrations Places Songs and rhymes Useful EAL Packs EYLF Outcomes Outcome 1 - Identity and Family Outcome 2 - Belonging and Community Outcome 3 - Health and Wellbeing Outcome 4 - Learning and Development Outcome 5 - Language and Communication
File previews. docx, 453.47 KB. A selection of word problems used for a Year 6 measurement revision lesson, focusing on converting between units. Some of the questions are from previous SATs papers and some are similar but with numbers/wording changed. Answers are included.
For the month of March, each day we publish some reasoning and problem solving questions for use with your classes in the run-up to SATs. Practice is crucial to maths success, and our questions are designed to support your daily routines. These problems can be used across Y5 and Y6 throughout the year. Download
year 6 problem solving maths maths year 6 year 6 maths reasoning questions year 6 word problems year 6 maths reasoning maths reasoning year 6 year 6 reasoning maths year 6 maths maths year 6 reasoning problem solving year 6 reasoning questions money maths problem solving year 6 maths problems maths problems year 6 key stage 2 calculation mixed …
year 6 problem solving maths year 6 word problems year 6 maths reasoning maths year 6 year 6 reasoning questions maths reasoning year 6 money maths problem solving year 6 year 6 maths maths problems maths problem solving year 6 maths worksheets year 6 english maths problems year 6 Ratings & Reviews Curriculum Links Make a Request Resource Updates
Problem solving questions maths year 6. One tool that can be used is Problem solving questions maths year 6. Get Started. 35 SATs Maths Questions Year 6 SATs Reasoning Practice. This booklet contains over 40 reasoning and problem solving questions suitable for KS2 and KS3 classes. These are the questions that we have been putting
This maths problem-solving question worksheets / worksheet consists of 10 simple 2-step addition and subtraction word problems for Year 2. Top Experts GetStudy is an educational website that provides students with information on how to study for their classes.