common factors homework year 6

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Year 6 | Factors and Multiples Worksheets

In these Year 6 worksheets on factors and multiples , your learners are presented with a series of questions, requiring them to determine the lowest common multiple of pairs of given numbers. They repeat this task by finding the greatest common factor of pairs of given numbers. Finally, children complete a table by identifying the number that links the same factors and multiples.

This worksheet serves as a valuable tool to expand your children’s knowledge and understanding of common factors and multiples, fostering the recognition of how they can be interconnected.

Our Year 6 calculation worksheets are created to match the KS2 primary national curriculum and can be integrated with your ideas and teaching strategies for learning activities, homework, differentiation and lesson plans.

You might also like our Year 6 long division worksheets .

Explore the rest of our Year 6 maths worksheets .

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Year 6 Properties of Number: Common Factors and Multiples

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

27 February 2024

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This Year 6 Common Factors and Multiples Question Set covers the national curriculum objective to identify common factors, common multiples and prime factors.

Registering for an LbQ account will give you access to the questions included in this resource and many 1,000s more. These 5 questions are a small selection from a much bigger Question Set of the same topic; they can be used as a teaching starter, plenary or activity for pupils. It is designed to provide teachers a taste of what our content is all about.

LbQ Maths Question Sets are based around the principles of mastery and have been developed by teachers and subject matter experts. Each Question Set targets a curriculum objective, though some objectives need more than one set, and has been guided by the White Rose Maths curriculum breakdown.

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A collection of math worksheets on finding factors, greatest common factors, and factor trees, as well as prime numbers & composite numbers.

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Factor Trees

Prime Numbers

Greatest common factor (gcf), proper factors and perfect numbers.

Worksheets in which students determine the least common multiple, or LCM, for each number set

Here you'll find resources to help students review multiples of given numbers.

Simplifying fractions, equivalent fractions, operations with fractions. Also includes adding, subtracting, multiplying, and dividing fractions.

Practice basic multiplication skills with these printable worksheets and games

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Common Factors, Multiples and Prime Numbers (Year 6)

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This extensive PowerPoint provides explanations and practice for children learning about common factors, multiples and prime numbers. They will recap what each of these terms means, work through examples and tackle a prime numbers grid in the final slide.

• Key Stage: Key Stage 2
• Subject: Maths
• Topic: Multiplication & Division
• Topic Group: Calculations
• Year(s): Year 6
• Media Type: PowerPoint
• Resource Type: PowerPoint
• Last Updated: 05/10/2022
• Resource Code: M2PAT142
• Curriculum Point(s): Identify common factors, common multiples and prime numbers.

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Year 6 Maths Worksheets UK Hub Page

Welcome to our Year 6 Maths Worksheets area.

Here you will find a wide range of free printable Year 6 Maths Worksheets for your child to enjoy.

Come and take a look at our rounding decimal pages, or maybe some of our adding and subtracting fractions worksheets. Perhaps you are looking for some worksheets about finding angles in a triangle, or need some ratio problem worksheets to help your child learn about ratio?

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• This page contains links to other Math webpages where you will find a range of activities and resources.
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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.

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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.

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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.

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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
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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
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Rounding Decimals

• Rounding to the nearest tenth
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• 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.

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Year 6 Addition Worksheets

• add decimals including tenths and hundredths mentally;
• add a columns of multi-digit numbers, including decimals.
• Decimal Addition Fact Worksheets
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• 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
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• Decimal Multiplication Worksheets to 1dp
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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
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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.

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These sheets involve solving many 'real-life' problems involving data.

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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.
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• Free Printable Fraction Riddles (harder)

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

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• 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.

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• 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)
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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

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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

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Common Factors Lesson

This Year 6 Common Factors lesson covers the prior learning of finding common factors using arrays, before moving onto the main skill of finding common factors.

The lesson starts with a prior learning worksheet to check pupils’ understanding. The interactive lesson slides recap the prior learning before moving on to the main skill. Children can then practise further by completing the activities and can extend their learning by completing an engaging extension task.

National Curriculum Objective Mathematics Year 6: (6C5) Identify common factors, common multiples and prime numbers

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Lesson Slides

These lesson slides guide pupils through the prior learning of finding common factors using arrays, before moving onto the main skill of common factors. There are a number of questions to check pupils' understanding throughout.

Modelling PowerPoint

This powerpoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving worksheets as part of this lesson.

These are the same as the lesson slides on Classroom Secrets. You can assign this as an activity for pupils to access individually in school or remotely from home.

Video Tutorial

Martin recaps what a factor is and then shows pupils how to find common factors of different numbers in this Common Factors Video Tutorial.

1 Prior Learning

This worksheet recaps prior learning of finding common factors using arrays, before moving onto the main skill of finding common factors.

Interactive Activity

This Year 5 Common Factors Game is designed to check pupils' understanding of common factors.

2 Practical Activities

Supporting Activities

This common factors supporting activities sheet contains suggestions for additional tasks you might wish to use to support pupils' understanding of the concepts taught in the lesson.

2 Varied Fluency

This differentiated worksheet includes varied fluency questions for pupils to practise the main skill of this lesson.

This Year 6 Common Factors Reasoning Practice checks your child's understanding of identifying common factors.

2 Reasoning & Problem Solving

This differentiated worksheet includes reasoning and problem solving questions to support the teaching of this step.

This common factors extension task includes a challenge activity which can be used to further pupils' understanding of the concepts taught in the common factors lesson.

This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of common factors.

Discussion Problem

This worksheet includes two discussion problems which can be used in pairs or small groups to further pupils' understanding of the concepts taught in this lesson.

Interactive Challenge Activity

This Year 6 Common Factors Maths Challenge is designed to check pupils' ability to find common factors of two numbers.

This differentiated worksheet includes varied fluency and reasoning and problem solving questions to support the teaching of this step.

2 Additional Activities

Consolidation Pack

This resource is aimed at Year 6 Expected and has been designed to give children the opportunity to consolidate the skills they have learned in the Autumn Block 2 Four Operations Block.

Learning Video Clip

Renata and Buzz are travelling into space in order to carry out important research. They will need to be able to work out the common factors of numbers in order to complete their mission.

Home Learning Pack

This Autumn week 4 Maths pack contains varied fluency, reasoning and problem solving worksheets.

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