four operations homework year 6

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Year 6 Four Operations

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Maths Resources & Worksheets > Year 6 Maths Resources & Worksheets >

Four Operations Resources and Worksheets

About these resources.

Differentiated maths resources for Autumn Block 2 (Four Operations) in small steps for KS2 children in Year 6. Each small step contains a range of resources including a teaching PowerPoint, varied fluency worksheets, reasoning and problem solving worksheets, homework or extension worksheets, discussion problems for collaborative learning, interactive games and a learning video clip. Coverage of the Autumn Block 2 (Four Operations) small steps include add and subtract integers, multiply 4 digits by 2 digits, short division, division using factors, long division, common factors, common multiples, prime numbers, square and cube numbers, order of operations, mental calculations, and reason from known facts. These Year 6 Autumn Block 2 (Four Operations) resources have been designed with the relevant Year 6 National Curriculum objectives in mind.

Add and Subtract Integers

Fully Resourced Step →

Multiply 4 Digits by 2 Digits

Solve problems with multiplication.

Additional Supporting Step →

Rules of Divisibility

Short Division

Division using factors, long division 1, long division 2, long division 3, long division 4, common factors, common multiples, prime numbers, square and cube numbers, order of operations, mental calculations, reason from known facts, 6 autumn block 2 consolidation pack.

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Rules of Divisibility – Varied Fluency

This worksheet includes a range of varied fluency questions for pupils to practise the main skill of recognising and using rules of divisibility.

Rules of Divisibility – Discussion Problems

This worksheet includes a discussion problem that can be used in pairs or in small groups to enable pupils to further their understanding of the concepts linked to recognising and using rules of divisibility.

Rules of Divisibility – Extension

This worksheet includes a range of varied fluency and reasoning and problem solving questions for pupils to further extend and practise the main skill of recognising and using rules of divisibility.

Rules of Divisibility – Reasoning and Problem Solving

This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of recognising and using rules of divisibility.

Rules of Divisibility Teaching PowerPoint

These lesson slides guide pupils through the prior learning of finding efficient methods of division, before moving on to the main skill of recognising and using rules of divisibility.

Solve Problems with Multiplication – Teaching PowerPoint

These lesson slides guide pupils through the prior learning of multiplying a 4-digit number by a 2-digit number, before moving on to the main skill of finding the most appropriate method to calculate with large numbers to solve problems.

Solve Problems with Multiplication – Discussion Problem

This worksheet includes a Discussion Problem that can be used in pairs or small groups to further pupils' understanding of the concepts taught in Solve Problems with Multiplication.

Solve Problems with Multiplication – Extension

This worksheet includes a range of Homework / Extension questions for pupils to practise the main skill of Solve Problems with Multiplication.

Solve Problems with Multiplication-Reasoning and Problem Solving

This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of Solve Problems with Multiplication.

Solve Problems with Multiplication- Varied Fluency

This worksheet includes a range of varied fluency questions for pupils to practise the main skill of solving problems with multiplication.

This resources includes a practical supporting activity for pupils to practise the main skill of using and applying rules of divisibility.

Year 6 Four Operations Consolidation Lesson Slides

These Year 6 Four Operations consolidation lesson slides are designed to support understanding of Autumn Block 2 - Four Operations.

Year 6 Four Operations Consolidation Lesson

This Year 6 Four Operations Consolidation lesson revisits the main teaching points from our Four Operations block.

Four Operations Consolidation Year 6 Autumn Block 2 Problem Solving Pack

This Four Operations Consolidation Year 6 pack has been designed to give children the opportunity to consolidate skills learned.

Free Year 6 Add and Subtract Integers Lesson Slides

These interactive Year 6 Add and Subtract Integers Lesson Slides are designed to support your teaching of this objective.

Free Year 6 Add and Subtract Integers Lesson

This Year 6 Add and Subtract Integers lesson includes teaching slides, prior learning, worksheets, interactive activities and extensions.

Add and Subtract Integers Year 6 Four Operations Free Resource Pack

Step 1: Add and Subtract Integers Year 6 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Autumn Block 2.

Free Add and Subtract Integers Year 6 Four Operations Learning Video Clip

Step 1: Renata is an astronaut who is travelling throughout space for important research. Use your knowledge of adding and subtracting integers to assist her on board the spaceship.

Four Operations Year 6 Add and Subtract Integers Free Discussion Problems

Step 1: Year 6 Add and Subtract Integers Discussion Problems includes two discussion problems which can be used in pairs or small groups to further pupils' understanding.

Free Add and Subtract Integers Homework Extension Year 6 Four Operations

Step 1: Free Add and Subtract Integers Homework provides additional questions which can be used as homework or an in-class extension for the Year 6 Free Add and Subtract Integers Resource Pack and are differentiated three ways.

Free Year 6 Add and Subtract Integers IWB Four Operations Activity

Step 1: Free Year 6 Add and Subtract Integers IWB Activity checks pupils' understanding of adding and subtracting integers up to 6-digits.

Year 6 Multiply 4 Digits by 2 Digits Lesson Slides

These interactive Year 6 Multiply 4 Digits by 2 Digits Lesson Slides are designed to support your teaching of this objective.

Year 6 Multiply 4 Digits by 2 Digits Lesson

This Year 6 Multiply 4 Digits by 2 Digits lesson includes teaching slides, prior learning, worksheets, interactive activities and extensions.

Multiply 4-Digits by 2-Digits Year 6 Four Operations Resource Pack

Step 2: Multiply 4-Digits by 2-Digits Year 6 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Autumn Block 2.

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Expected level of development

Australian Curriculum Mathematics V9 : AC9M6N06, AC9M6N04

Numeracy Progression : Additive strategies: P9, Multiplicative strategies: P9, Number and place value: P9

At this level, students apply knowledge of place value to add and subtract decimals, using digital tools where appropriate. They further develop whole-number multiplication and then strengthen their understanding of decimals by multiplying and dividing decimals and whole numbers. Students multiply by decimals and powers of ten.

Reinforce the idea that place value patterns extend in both directions. Use materials such as MAB: Base Ten Blocks and Cuisenaire rods to demonstrate the multiplicative relationships between the places in the base ten system. Contrast that with the number line to show the relationship between whole numbers and decimals.

Use classroom talks to collaboratively solve number problems that ask students to add and subtract decimals. Build a culture of using estimation before solving as a form of checking calculations, and then ask how close their result was to their estimation. Use questioning to elicit different strategies for addition and subtraction problems to at least hundredths. For example, one student may solve using partitioning, another may use place value parts, while the next may use the inverse relationship between addition and subtraction.  

Use number talks in a similar way to solve problems that require multiplicative thinking and solving problems that involve multiplication and division of decimals. Make explicit the effect of multiplying and dividing by 10, 100 and 1,000 in terms of place value. Address and correct misconceptions that the decimal point is shifting.

Provide opportunities to use real-world examples to calculate and solve problems involving decimals, including those that use linear measurements.

Use calculators to solve additive and multiplicative problems that involve decimals. Compare the answer using the calculator with their initial estimation.

Teaching and learning summary:

• Make explicit the use of place value models demonstrating ten times larger than the place to the right, and  1 10 as large as the place to the left.
• Present mathematical equations to solve problems with large whole numbers and decimals to the hundredths and thousandths.

• explain the multiplicative relationships between places in the base ten number system, including rational numbers
• use mental arithmetic, paper-and-pencil algorithms, and calculators to solve problems involving the multiplication and division of whole numbers and decimals
• describe the calculation strategies used and explain how the approach works.

Some students may:

• have a very limited understanding of the terms multiplication and division, and may only recognise them in terms of ‘times’ and ‘share’. They may find it hard to give any meaning to calculations. This is one reason why they may have difficulty choosing the correct operation to perform when solving worded problems. Use classroom talks and explicit teaching to provide multiple examples to help students develop their understanding.
• believe that when multiplying or dividing a decimal by 10, 100 or 1,000 the decimal point shifts. Be sure to use the correct language when modelling this to students.

The Learning from home activities are designed to be used flexibly by teachers, parents and carers, as well as the students themselves. They can be used in a number of ways including to consolidate and extend learning done at school or for home schooling.

Learning intention

• We are learning to solve money problems involving multiplication and division.

Why are we learning about this?

• We use money to purchase items such as groceries or meals every day.
• Read the instructions for the task, Meal deal .
• Complete the questions.
• Which questions did you need to use division for to solve the problem?
• Reflect on the task. Rate yourself in how well you understand multiplication of decimals and division using decimals.
• Discuss three things you know about money and decimals.

Success criteria

• solve money problems involving multiplication and division.

Please note:  This site contains links to websites not controlled by the Australian Government or ESA. More information  here .

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Teaching strategies.

A collection of evidence-based teaching strategies applicable to this topic. Note we have not included an exhaustive list and acknowledge that some strategies such as differentiation apply to all topics. The selected teaching strategies are suggested as particularly relevant, however you may decide to include other strategies as well. 

Questioning

A culture of questioning should be encouraged and students should be comfortable to ask for clarification when they do not understand.

It has been shown that good feedback can make a significant difference to a student’s future performance.

Explicit teaching

Explicit teaching is about making the learning intentions and success criteria clear, with the teacher using examples and working though problems, setting relevant learning tasks and checking student understanding and providing feedback.

Classroom talks

Classroom talks enable students to develop language, build mathematical thinking skills and create mathematical meaning through collaborative conversations.

Concrete, Representational, Abstract (CRA model)

The CRA model is a three-phased approach where students move from concrete or virtual manipulatives, to making visual representations and on to using symbolic notation.

Teaching resources

A range of resources to support you to build your student's understanding of these concepts, their skills and procedures. The resources incorporate a variety of teaching strategies.

Fraction shape puzzles

Students investigate fractions through the relationships between various shapes.

Farm fence fractions

In this lesson, we explore fractions, decimals and perimeter.

Decimals: Adding and subtracting

In this lesson, students play a board game that draws on their knowledge of adding decimals to tenths, hundredths and thousandths.

All the digits

This problem requires students to think about place value and the way that standard column multiplication works.

How do you do it?

This resource offers opportunities for students to discuss their mental calculation strategies and make decisions about the effectiveness and efficiency of different strategies in different contexts.

The power of 10

This is a level 5 number activity from the Figure It Out series. It is focused on solving division problems involving decimals. A PDF of the student activity is included.

Getting partial - Multiplying decimals

This unit requires students to apply their number sense about the size of decimals to estimate and calculate the product of decimal fractions.

Branching out

This is a level 4 number activity from the Figure It Out series. It is focused on multiplying decimals with multiples of ten, and operating on fractions and decimals. A PDF of the student activity is included.

Spring fever

This is a level 5 number activity from the Figure It Out series. It is focused on solving multiplication and division involving decimals. A PDF of the student activity is included.

Relevant assessment tasks and advice related to this topic.

By the end of Year 6, students use all four operations with decimals and connect decimal representations of measurements to the metric system.

Assessment: Interpreting multiplication and division

Use this formative assessment task to help students interpret the meaning of multiplication and division.

Students create a budget for a sausage sizzle. Assess student’s proficiency in using four operations.

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The Four Operations - Year 6

Year 6 maths programme of study - Number (addition, subtraction, multiplication and division):

• multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
• divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context
• solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
• use their knowledge of the order of operations to carry out calculations involving the four operations
• solve problems involving addition, subtraction, multiplication and division

This Year 6 maths teaching resource includes a PowerPoint and differentiated worksheets for independent learning, to guide your class through using the four operations to solve calculations and multi-step problems as per the curriculum objectives listed above. It will help the children understand how to solve addition and subtraction problems in context, along with developing their understanding of long multiplication and short division. By exploring the four operations, the resource helps children learn which operation to use and why. The worksheets contain varied fluency, reasoning and problem solving to reinforce and consolidate the children's learning. The resource contains five lessons, which support the White Rose Small Steps guidance, and are designed to support a mastery approach to teaching maths.

Content includes:

• Lessons 1 and 2: Addition and Subtraction with 2 accompanying worksheets with answers
• Lesson 3: Long Multiplication with 1 accompanying worksheet with answers
• Lesson 4: Short Division with 1 accompanying worksheet with answers
• Lesson 5: Consolidation of skills learned so far with challenge cards

'The Four Operations - Year 6' is completely editable giving teachers the freedom to adapt the resource to suit their individual teaching needs.

Click on the images from the PowerPoint presentation to view the resource in more detail.

Get access to thousands of pages of resources. Find out more about membership here.

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Mixed 4 operations worksheets

Mixed practice.

These worksheets provide a mix of multi-digit addition, subtraction, multiplication and division questions. Great practice for students who are doing well on basic skills with the 4 operations.

We also have mixed math facts worksheets and thousands of math worksheets by grade level .

Sample mixed operations worksheet

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Year 6 Maths Worksheets UK Hub Page

Welcome to our Year 6 Maths Worksheets area.

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

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

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• This page contains links to other Math webpages where you will find a range of activities and resources.
• If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

Year 6 Maths Learning

Here are some of the key learning objectives for the end of Year 6:

• know and use Place value up to 10 million
• Counting on and back in steps of powers of 10 from any number up to 10 million
• Round numbers to any given degree of accuracy.
• Count forwards and backwards through zero with positive and negative numbers.
• Read Roman numerals to 1000 and recognise years written in Roman numerals
• solve multi-step problems using addition and subtraction in a range of contexts
• identify multiples and factors including common factors
• multiply and divide up to 4-digit numbers by up to 2 digits
• Use their knowledge of the order of operations to carry out calculations involving the four operations.
• Identify common factors, common multiples and prime numbers.
• solve problems involving addition, subtraction, multiplication and division
• simplify fractions
• compare and order fractions including mixed numbers
• add and subtract fractions with different denominators including mixed numbers
• multiply simple fractions together and simplify the answer
• divide proper fractions by whole numbers
• recall and use equivalence between simple fractions, decimals and percentages.
• Multiply and divide whole numbers and decimals up to 3dp by 10, 100 or 1000
• read, write, order and compare numbers up to 3dp
• round decimals with up to 3dp to the nearest whole
• solve problems with numbers up to 3dp
• work out percentages of different amounts
• solve problems using percentages
• use simple formulae
• express missing number problems using algebra
• find pairs of numbers that satisfy equations with two variables
• solve problems involving simple ratios
• solve problems involving similar shapes where the scale factor is known
• use, read, write and convert between standard units of measure
• measure, compare and calculate using different measures
• know that shapes with the same area can have different perimeters
• find the area of parallelograms and right triangles
• find the volume of cubes and cuboids
• convert between miles and km
• name and understand the parts of circles - radius, diameter and circumference
• draw 2D shapes accurately using dimensions and angles
• compate and classify 2D shapes by a range of properties
• find missing angles in triangles, quadrilaterals and regular shapes
• use coordinates in all 4 quadrants
• draw and translate simple shapes in all 4 quadrants
• interpret and construct pie charts and line graphs
• calculate the mean as an average

Please note:

Our site is mainly based around the US Elementary school math standards.

Though the links on this page are all designed primarily for students in the US, but they are also at the correct level and standard for UK students.

The main issue is that some of the spelling is different and this site uses US spelling.

Year 6 is generally equivalent to 5th Grade in the US.

On this page you will find link to our range of math worksheets for Year 6.

Quicklinks to Year 6 ...

• Place Value Zone
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Word Problems Zone

Fractions percents ratio zone.

• Percentages Zone
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Geometry Zone

Data analysis zone.

• Fun Zone: games and puzzles

Coronavirus Stay At Home Support

For those parents who have found themselves unexpectedly at home with the kids and need some emergency activities for them to do, we have started to develop some Maths Grab Packs for kids in the UK.

Each pack consists of at least 10 mixed math worksheets on a variety of topics to help you keep you child occupied and learning.

The idea behind them is that they can be used out-of-the-box for some quick maths activities for your child.

They are completely FREE - take a look!

• Free Maths Grabs Packs

Place Value & Number Sense Zone

Year 6 number worksheets.

Here you will find a range of Free Printable Year 6 Number Worksheets.

Using these Year 6 maths worksheets will help your child to:

• use place value with numbers up to 10 million;
• use place value with up to 3 decimal places;
• understand how to use exponents (powers) of a number;
• understand and use parentheses (brackets);
• understand and use multiples and factors;
• extend their knowledge of prime and composite (non-prime) numbers up to 100;
• know and be able to use the PEMDAS (or PEDMAS) rule.
• Place Value Worksheets to 10 million
• Place Value to 3dp
• Ordering Decimals Worksheets
• PEMDAS Rule Support Page
• PEMDAS Problems Worksheets
• Balancing Math Equations
• Roman Numerals worksheets

Ordering Large Numbers and Decimals to 3dp

The sheets in this section involve ordering lists of decimals to 3 decimal places and also large numbers up to 100 million.

There are sheets with decimals up to 10, and also sheets with numbers from -10 to 10.

• Ordering Large Numbers up to 100 million
• Ordering Decimals to 3dp

Rounding Decimals

• Rounding to the nearest tenth
• Rounding Decimal Places Sheets to 2dp
• Rounding Decimals Worksheet Challenges

Year 6 Decimal Counting Worksheets

Using these sheets will support you child to:

• count on and back by multiples of 0.1;
• fill in the missing numbers in sequences;
• count on and back into negative numbers.
• Counting By Decimals

Year 6 Mental Maths Zone

Each worksheet tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math quiz!

• Year 6 Mental Maths Tests

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Year 6 Addition Worksheets

• add decimals including tenths and hundredths mentally;
• add a columns of multi-digit numbers, including decimals.
• Decimal Addition Fact Worksheets
• 5th Grade Addition Worksheets BIG Numbers
• Decimal Column Addition Worksheets
• Money Worksheets (randomly generated)

Year 6 Subtraction Worksheets

Using these sheets will help your child to:

• subtract decimals including tenths and hundredths mentally;
• subtract multi-digit numbers, including decimals using column subtraction.
• Subtracting Decimals Worksheets (mental)
• Subtraction Worksheets up to Billions (columns)
• Column Subtraction with Decimals

Year 6 Multiplication Worksheets

• extend their knowlege of multiplication to decimals;
• use their multiplication tables to answer related facts, including decimals;
• multiply a range of decimals with up to 2 decimal places (2dp) by a whole number;
• multiply different money amounts by a whole number.
• Multiplying Decimals by 10 and 100
• Multiplication Fact Sheet Decimals
• Decimal Multiplication Worksheets to 1dp
• Decimal Multiplication Worksheets to 2dp
• Free Multiplication Worksheets (randomly generated)
• Multiply and Divide by 10 100 (decimals)
• Multiplication & Division Worksheets (randomly generated)
• Multiplication Word Problems

Division Worksheets 5th Grade

Using these Year 6 maths worksheets will help your child learn to:

• divide any whole number up to 10000 by a two digit number;
• express any division with a remainder in the form of a mixed number (a number with a fraction part).
• Long Division Worksheets (whole numbers)
• Long Division of Decimal Numbers
• Decimal Division Facts
• Division Facts Worksheets (randomly generated)

Year 6 Maths Problems

• apply their addition, subtraction, multiplication and division skills;
• apply their knowledge of rounding and place value;
• solve a range of problems including "real life" problems and ratio problems.

These sheets involve solving one or two more challenging longer problems.

• Year 6 Math Problems (5th Grade)

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

• Year 6 Math Word Problems (5th Grade)

These sheets involve solving a range of ratio problems.

Year 6 Fraction Worksheets

Year 6 percentage worksheets, year 6 ratio worksheets.

• compare and order fractions;
• add and subtract fractions and mixed numbers;
• understand how to multiply fractions by a whole number;
• understand how to multiply two fractions together, including mixed fractions;
• understand the relationship between fractions and division;
• know how to divide fractions and mixed fractions;
• convert decimals to fractions.
• Comparing Fractions Worksheet page
• Adding Fractions Worksheets
• Adding Improper Fractions
• Subtracting Fractions Worksheets
• Adding Subtracting Fractions Worksheets
• Improper Fraction Worksheets
• Converting Decimals to Fractions Worksheets
• Fractions Decimals Percents Worksheets
• Multiplying Fractions Worksheets
• Dividing Fractions by Whole numbers
• Divide Whole numbers by Fractions
• Simplifying Fractions Worksheets
• Free Printable Fraction Riddles (harder)

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

We have a range of percentage sheets from quite a basic level to much harder.

• Percentage of Numbers Worksheets
• Money Percentage Worksheets
• Percentage Word Problems

These Year 6 Ratio worksheets are a great way to introduce this concept.

We have a range of part to part ratio worksheets and slightly harder problem solving worksheets.

• Ratio Part to Part Worksheets
• Ratio and Proportion Worksheets

Year 6 Geometry Worksheets

• know how to find missing angles in a range of situations;
• learn the number of degrees in a right angle, straight line, around a point and in a triangle;
• know how to calculate the area of a triangle;
• know how to calculate the area of a range of quadrilaterals.
• learn the formulas to calculate the area of triangles and some quadrilaterals;
• write and plot coordinates in all 4 quadrants.
• (5th Grade) Geometry - Angles
• Area of Quadrilaterals
• 5th Grade Volume Worksheets
• Coordinate Worksheets (1st Quadrant)
• Coordinate Plane Worksheets (All 4 Quadrants)
• Parts of a Circle Worksheets

Measurement Zone, including Time & Money

Year 6 measurement worksheets.

Using these sheets will help your child understand how to:

• learn how to read a standard scale going up in different fractions: halves, quarters, eighths and sixteenths;
• learn how to read a metric scale going up in 0.1s, 5s, 10s, 25s, 50s & 100s;
• learn how to estimate a measurement of length, weight or liquid;
• convert temperatures in Celsius and Fahrenheit.
• (5th Grade) Measurement Worksheets

Time Puzzles - harder

Here you will find our selection of harder time puzzles.

• Time Word Problems Worksheets - Riddles (harder)

Using these sheets will help you to:

• find the mean of up to 5 numbers;
• find a missing data point when the mean is given.
• Mean Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 6 maths games.

• Year 6 Math Games (5th Grade)

Year 6 Maths Puzzles

The puzzles will help your child practice and apply their addition, subtraction, multiplication and division facts as well as developing their thinking and reasoning skills in a fun and engaging way.

• Printable Math Puzzles

Math Salamanders Year 6 Maths Games Ebook

Our Year 6 Maths Games Ebook contains all of our fun maths games, complete with instructions and resources.

This ebooklet is available in our store - use the link below to find out more!

• Year 6 Maths Games Ebook

Other UK Maths Worksheet pages

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• Four Operations (Week 6)
• week 6 year 6 4 operations.rtf
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Four Operations Worksheets - Worksheet generator.

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

3 June 2019

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Such a useful resource and will save a lot of time searching or making activity sheets! Thank you!

Liz-Allen-MacNeill

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