column addition problem solving year 2

Addition Year 2 (aged 6-7)

Mental addition continues to be a key area of maths in Year 2. A great deal of emphasis will be placed upon it. During the year children will be expected to:

•    add mentally a 2-digit number and ones (e.g. 25 + 6 =)

•    add mentally a 2-digit number and whole tens (e.g. 25 + 20 =)

•    add mentally two 2-digit numbers (e.g. 23 + 32 =)

•    add three small numbers (e.g. 2 + 3 + 7 =) 

•    know by heart pairs of numbers that total 20

•    respond rapidly to oral questions such as ‘What is the total of 23 and 10?’ 

•    solve missing number problems such as 12 + ? = 17.    •    understand addition as combining sets to make a total and that it can be done in any order

•    understand that addition is the inverse of subtraction and use this to check answers

•    continue to solve one-step problems that involve addition using concrete objects and pictorial representations

•    begin to add using written methods in columns

There are a number of skills to help with addition that children need to be made aware of. These include: •    putting the larger number first (e.g. arrange 6 + 45 as 45 + 6 and count on) •    looking for pairs that make 10 when adding three small numbers (e.g. 3 + 5 + 7 = 10 + 5 = 15)  •    being able to partition numbers to make them easy to add (e.g. 12 + 23 = 12 + 20 + 3 = 32 + 3) •    using knowledge of doubles to make addition easy  (6 + 7 is double 6 plus 1) •    mentally adding 9 by adding 10 and subtracting 1

Our Year 2 addition worksheets are second to none, combining clear layout, lively graphics and perhaps most importantly, each set concentrates on just one skill. There are usually four pages for each set. If your child finds it tricky it is well worth using more of the sheets to consolidate learning. Also, don’t forget our superb addition games which provide unlimited practice , re-inforce learning and are a fun change.  

Developing mental arithmetic skills

Number lines and bar modelling are used in many schools to help children bridge the gap between using concrete objects/pictures and adding mentally with no aids.

A rekenrek is a counting frame, popular with the Maths Mastery approach.

Work out the additions shown on the rekenreks.

More addition using a rekenrek.

Use the number line to add three small numbers.

Missing numbers to fill in to make number sentences correct.

Try working out these addition sentences using teen numbers and single digits.

Finding pairs of numbers that add up to 20, and hopefully beginning to learn them.

Finding the missing number to make the total 20.

Finding numbers that make the total 20.

Using bar modelling to add two numbers to make 20.

Using double sided counters to represent number bonds.

Using bar models to represent number bonds to 100.

Number bonds to 100, working with whole tens.

Bar modelling: adding to make 100.

Use bar models to add a 1-digit number to a 2-digit number.

Use bar models to help add three small numbers.

Use bar models to add two 2-digit numbers.

Using bar modelling to complete addition statements up to 100.

Addition using images of base 10 blocks.

Fast mental addition skills

Plenty of practice of the skills needed to add mentally with speed and accuracy.

How many different ways can the chocolate box be filled with dark and white chocolates?

Try these adding to make the next whole ten questions - good revision and practice.

More adding to make the next whole ten.

These can often be done by counting on.

Plenty of addition of a single digit to a 2-digit number, with the help of a 1-100 number square.

Try adding a single digit to a multiple of 100. Four pages with the second pair getting quite difficult!

Clever tricks to add 9 quickly to any 2-digit number.

Addition of 2-digit numbers without crossing the tens boundary.

Some quickfire questions on adding multiples of 10 (2-digit numbers only)

More on adding pairs of multiples of 10.

Four bright, colourful worksheets on adding 2-digit numbers to multiples of ten.

Find the missing number to make a total of 20.

A selection of activities finding 3 numbers that add up to 20.

Completing number statements to make a total of 20.

Whiz through these pages as quickly as possible.

Using part-whole models to add 2-digit numbers to multiples of 10.

Single digit number grid revision. Good practice for developing fast addition skills.

Some quick number grid challenges on addition. Excellent for 'speed tests'.

More addition grids. All these are adding a single digit to a multiple of ten.

All these number sentences are adding a single digit to a multiple of ten.

Find the missing numbers to make 100, using multiples of 10 or 5.

Complete number statements to make a total of 100 using multiples of 5 and 10.

Sets of 15 quickfire addition questions.

Quick as you can to answer the questions on this Brainwhizz Challenge!

Quick 20 addition questions, all with answers 10 or below.

Speedy addition with answers up to 20.

Find different ways to make calculations correct.

Place value and addition in columns

The written method of addition, using columns, can be introduced later in Year 2 when children have a good understanding of place value, ensuring that no exchange is needed to begin with.

Adding boxes of buttons using whole tens.

More adding whole tens.

Number and place value: adding whole tens.

Adding tens and ones.

More adding tens and ones.

Number and place value: adding tens and ones

Addition of two single digit numbers, set out in columns.

Addition of a single digit to multiples of ten, set out in columns.

Addition of whole tens set out in columns.

Adding three small numbers laid out in columns.

More addition of three single digit numbers, set out in columns.

Word problems using addition

Children often find word problems harder to answer than simple addition questions as they need to work out what operation to carry out.

Four worksheets using the vocabulary of addition.

Word problems involving addition.

More real life addition word problems.

Joe and his friends went ten pin bowling and compared their scores.

Adding the cost of two types of chocolate. 2-digit addition with no crossing of the tens.

Word problems needing addition or subtraction to answer them.

Tricky word problems which need two steps to solve them.

Word problems needing two steps to solve.

More 2-step word problems using addition and subtraction.

More addition activities

More problem solving activities for addition, including fun puzzles and games and 'intelligent practice' for the more able.

Find the totals of repeated coins.

Comparing number sentences.

Let's look at the patterns of numbers created when adding.

Check answers are correct by working them out in a different order.

Important concepts on the relationship between addition and subtraction.

Work out what else you know if you know one fact.

It's amazing how much you really know, if you just think about it!

All these numbers are multiples of 5. Just link into pairs to make each pair add up to 100.

These are rather like a wordsearch, but harder! Find a row of 4 where all the answers are the same.

A board game of strategy and knowledge of addition facts to play with your child.

Put the numbers in the grid so that each row, column and diagonal add up to the same total.

Put the numbers in the circles so that each line adds up to 18.

Using knowledge to answer similar questions.

Using knowledge to answer related questions.

Answer related questions from known facts.

Finding pairs of numbers that add up to 50.

Addition and Subtraction statutory requirements for the new Programme of Study.

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Maths Resources & Worksheets > Year 2 Maths Resources & Worksheets >

Addition and Subtraction Resources and Worksheets

About these resources.

Differentiated maths resources for Autumn Block 2 (Addition and Subtraction) in small steps for KS1 children in Year 2 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 (Addition and Subtraction) small steps include fact families, check calculations, compare number sentences, related facts, bonds to 100 – tens, add and subtract 1s, 10 more and 10 less, add and subtract 10s, add 2-digit and 1-digit numbers, subtract 1-digit from 2-digits, add 2-digit numbers 1, add 2-digit numbers 2, subtract with 2-digits 1, subtract with 2-digits 2, bonds to 100 – tens and ones and add three 1-digit numbers. These Autumn Block 2 (Addition and Subtraction) resources have been designed with the relevant Year 2 curriculum objectives in mind.

Bonds to 10

Additional Supporting Step →

Fact Families

Fully Resourced Step →

Check Calculations

Compare number sentences, related facts, bonds to 100 – tens, add and subtract 1s, add by making 10, add to the next 10, 10 more and 10 less, add and subtract 10s, add 2-digit and 1-digit numbers, subtract 1-digit from 2-digits, subtract from a 10, add 2-digit numbers 1, add 2-digit numbers 2, subtract with 2 digits 1, subtract with 2-digits 2, mixed addition and subtraction, missing number problems, bonds to 100 – tens and ones.

Add Three 1-Digit Numbers

2 Autumn Block 2 Consolidation Pack

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Missing Number Problems Teaching PowerPoint

These lesson slides guide pupils through the prior learning of number bonds, before moving on to the main skill of finding missing numbers in calculations.

Subtract from a 10 Teaching PowerPoint

These lesson slides guide pupils through the prior learning of number bonds to 10, before moving on to the main skill of subtracting from a 10.

Add to the Next 10 Teaching PowerPoint

These lesson slides guide pupils through the prior learning of number bonds to 10, before moving on to the main skill of adding to the next 10.

Add by Making 10 Teaching PowerPoint

These lesson slides guide pupils through the prior learning of adding ones, before moving on to the main skill of adding by making 10.

Mixed Addition and Subtraction Teaching PowerPoint

These lesson slides guide pupils through the prior learning of subtracting two 2-digit numbers, before moving on to the main skill of solving addition and subtraction problems.

Bonds to 10 – Teaching PowerPoint

These lesson slides guide pupils through the prior learning of counting objects, before moving on to the main skill of using bonds to 10.

These practical activities include tasks covering a range of provision areas for pupils to practise the main skill of comparing objects.

Missing Number Problems – Reasoning and Problem Solving

This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of completing missing number problems.

Mixed Addition and Subtraction – Discussion Problem

This worksheet includes one discussion problem that can be used in pairs or in small groups to enable pupils to further their understanding of the concepts linked to solving addition and subtractions.

Mixed Addition and Subtraction – Reasoning and Problem Solving

This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of solving addition and subtractions.

Mixed Addition and Subtraction – 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 solving addition and subtractions.

Mixed Addition and Subtraction – Varied Fluency

This worksheet includes a range of varied fluency questions for pupils to practise the main skill of solving addition and subtractions.

Missing Number Problems – Varied Fluency

This worksheet includes a range of varied fluency questions for pupils to practise the main skill of completing missing number problems

Missing Number Problems – 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 completing missing number problems

Missing Number Problems – Discussion Problems

This worksheet includes two discussion problems that can be used in pairs or in small groups to enable pupils to further their understanding of the concepts linked to missing number problems.

Add 2-Digit Numbers 1 – Practical Activities

These practical activities include tasks covering a range of provision areas for pupils to practise the main skill of adding 2-digit numbers

Subtract from a 10 – Practical Activities

These practical activities include tasks covering a range of provision areas for pupils to practise the main skill of subtracting from a 10.

Subtract from a 10 – Discussion Problem

This worksheet includes one discussion problem that can be used in pairs or in small groups to enable pupils to further their understanding of the concepts linked to subtracting from a 10.

Subtract from a 10 – 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 subtracting from a 10.

Subtract from a 10 – Reasoning and Problem Solving

This worksheet includes a range of varied fluency questions for pupils to practise the main skill of subtracting from a 10.

Subtract from a 10 – Varied Fluency

Add by Making 10 – Practical Activities

This worksheet includes a practical activity for pupils to practise the main skill of adding by making 10.

Add by Making 10 – Supporting Activity

This worksheet includes a supporting activity that can be used in pairs or in small groups to enable pupils to consolidate their understanding of adding by making 10.

Add by Making 10 – 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 adding by making 10.

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3. Try lots of different methods

Encourage your child to use a range of methods, including using objects, drawings, diagrams, and symbols, to solve addition and subtraction problems. To solve addition problems, your child might:

• Use objects. They could count all the objects in groups being added together to find their total (so for 2 + 3, they would count all the objects together: 1, 2, 3, 4, 5 ). Then, then could begin counting on from one group to find the total (so for 2 + 3, they might start at 3 and count on: 3, 4, 5 ).
• Use drawings such as number lines .
• Use formal written methods such as column addition.

To solve subtraction problems, your child might:

• Use objects and take some away to find the difference.
• Put objects from two groups into two lines and compare them to find the difference.
• Count backwards or use number lines .
• Use written methods such as column subtraction.

Your child could use rounding to estimate their answers before calculating accurately. It can also be helpful to use more than one method to double-check calculations. For example, your child could check a subtraction question by adding up the answer and the number they subtracted to see if they get back to the number they started from.

Choose an addition or subtraction calculation to solve with your child

 We are setting the table for our family of four and one guest. How many people are eating altogether?   I’ve put out 8 forks. Is that right or is it too many? How many do we need to put back in the drawer?

You have sent 20 invitations out for your party. We have heard back from everybody and 3 people have told us they can’t come. How many people are coming to your party?

Discuss which method your child would use for these questions. Try to find as many ways as you can to solve the problems, and talk about the methods you and your child each preferred and why.

4. Make up story problems

Story problems can be a fun way to help your child understand addition and subtraction. And you can have fun making them up! Why not see if your child would like to create a story problem for you?

When creating an addition story problem, you could support your child by giving them objects to use or a picture to inspire their story. Once they’ve completed the word problem, ask them if they could write the calculations in the problem using symbols (‘+’, ‘–’, and ‘=’).

5. Try missing number problems

Missing number problems can be quite tricky for children. You can support your child by making the most of opportunities to practise missing number problems practically. For example, you can ask for your child’s help if you have a number of something but need a higher number:

‘I have 5 buttons but I need 15 buttons. How many more do I need?’

Ask your child how they worked it out. Then, you could ask them to write a calculation using numbers and symbols to explain how they did it.

5 + ? = 15.   They could have counted on from 5 to 15 to get 10. They could have counted back 5 from 15 to get 10. They may have known that 15 – 5 = 10. … and so on.

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Column addition

Unit 5 – 2 weeks

The PowerPoint file contains slides you can use in the classroom to support each of the learning outcomes for this unit, listed below. The slides are comprehensively linked to associated pedagogical guidance in the  NCETM Primary Mastery Professional Development materials . There are also links to the ready-to-progress criteria detailed in the  DfE Primary Mathematics Guidance 2020 .

Classroom slides for this unit

All spring term units, learning outcomes, related pages.

• Curriculum prioritisation in primary maths

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Year 2 Maths Worksheets UK Hub Page

Welcome to Math Salamanders Year 2 Maths Worksheets hub page.

In our Year 2 area, you will find a wide range of printable math worksheets and Maths activities for your child to enjoy.

Come and take a look at our dot-to-dot pages, or our maths games. Perhaps you would prefer our 2d shape worksheets, or learning about numbers using our number line worksheets?

Hopefully you will find something here to meet your child's maths requirements!

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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 2 Maths Learning

Here are some of the key learning objectives for the end of Year 2:

• know and use Place value up to 100
• Compare and order numbers up to 100
• Counting on and back in 1s and 10s
• count in 2s, 5s and 10s
• Position numbers on a number line up to 1000
• use addition and subtraction facts to 20
• use related facts for addition and subtraction
• add or subtract 1 or 10 from a 2-digit number
• add and subtract 2-digit numbers
• number bonds to 100 using tens only
• add three single-digit numbers
• recognise and make equal groups
• use the x symbol to write multiplication sentences
• use arrays and pictures to represent multiplication sentences
• know multiplication facts for the 2, 5 and 10 times table
• recognise and find a half, a quarter and a third
• understand and use fraction notation
• understand the equivalence of a half and two-quarters
• count on in halves, thirds and quarters up to 10
• count in pence: 1p, 2p ,5p, 10p and 20p
• count in pounds: £1, £2, £5, £10 and £20
• find a simple total or difference between two money amounts
• find the change from simple amounts
• tell the time: o'clock, half-past, quarter-past and to
• understand and compare durations of time
• compare and measure length, mass, volume, capacity and temperature
• read a variety of scales going up in 1s, 2s, 5s and 10s
• recognise 2D and 3D shapes
• count sides and vertices on 2D shapes
• count faces, edges and vertices on 3D shapes
• sort and make patterns with 2D and 3D shapes
• describe movement and turns
• make tally charts
• draw and interpret pictograms
• understand and use block diagrams

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 2 is generally equivalent to 1st Grade in the US.

On this page you will find link to our range of math worksheets for Year 2.

Quicklinks to Year 2 ...

• Place Value Zone

Operations Zone

• Mental Math Zone

Word Problems 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 2 Place Value Charts

Here you will find a range of Free Printable Place Value Charts for Year 2.

These printable charts will help your child learn to read and write numbers.

Some of the charts are partially filled to help your child learn their place value.

Using these sheets will help your child to:

• learn to count in tens and ones;
• learn to read and write numbers.
• Printable Number Charts 0-99
• Hundred Number Charts (100 Squares)
• Number Grid up to 200

Place Value and Counting Worksheets

Here you will find a range of Year 2 Place Value Worksheets.

These Year 2 maths worksheets will help your child learn their place value, reading, writing and ordering numbers up to 100.

There are also some money worksheets involving counting in dimes and pennies to support place value learning.

• learn to order numbers to 100;
• learn to count in dimes and pennies;
• learn to read and write numbers to 100.

Year 2 Place Value Worksheets

• Place Value to 20 Worksheets
• Math Place Value Worksheets Tens and Ones
• Ordering 2-digit numbers Worksheets
• Greater than Less than Worksheets - up to 2 digit numbers
• Printable Counting Worksheets to 50
• Missing Number Chart 1-100
• Counting by 2s Worksheets
• Math Worksheets Counting by 1s 5s and 10s

Number Line Worksheets

Here is our selection of free printable number line worksheets for Year 2 pupils.

These first grade math worksheets will give your child a good grasp of place value and number sequences up to 100.

• count on and back by ones;
• position numbers to 100 on a number line.
• Number lines to 20
• Number lines to 100

Year 2 Mental Maths Zone

Here you will find a range of printable mental math sheets designed especially for Year 2 children.

Each quiz tests the children on a range of math topics from number facts and mental arithmetic to geometry, solving word problems and measures questions.

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

• Year 2 Printable Mental Maths

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Year 2 Addition Worksheets

Here you will find a range of Free Printable Addition Worksheets to support Year 2.

The following first grade math worksheets involve adding different amounts.

• learn their addition facts to 12+12;
• learn to solve an addition fact where one of the addends is missing;
• learn to add numbers in columns up to 100.
• Number Bonds to 10 and 12
• Addition Sentences to 12
• Addition Fact Practice to 12
• Addition Facts to 20 Worksheets
• Adding tens
• Addition Word Problems
• 2 Digit Addition Without Regrouping
• 2 Digit Addition Worksheets With Regrouping
• Free Addition Worksheets (randomly generated)

Year 2 Subtraction Worksheets

Here you will find a range of Year 2 Subtraction Worksheets.

The following worksheets involve using the Math skills of subtracting.

Using these Year 2 maths worksheets will help your child to:

• learn their addition and subtraction facts to 12;
• learn to subtract 2 digit numbers.
• Subtraction Facts to 12
• Subtracting tens
• Subtraction Word Problems
• Two Digit Subtraction Worksheets Without Regrouping
• 2 Digit Subtraction Worksheets With Regrouping
• Free Subtraction Worksheets (randomly generated)

Addition & Subtraction Worksheets

If you need to mix and match addition and subtraction fact questions within the same sheet, then use this section here.

The addition and subtraction worksheets involve counting on and back with numbers to 12.

• Math Activities Addition and Subtraction to 12
• Add and Subtract 10 Worksheets
• Addition Subtraction Worksheets (randomly generated)
• Addition and Subtraction Problems

Year 2 Maths Word Problems

Here you will find a range of math word problems aimed at Year 2 level. Each problem sheet is based on an interesting theme such as parties or the seaside.

• Add and subtract with numbers to 12;
• order numbers to 100;
• solve a range of math problems.
• Maths Problems for Year 2

Longer Math Problems

• Year 2 Maths Problems (1st Grade)

Year 2 Geometry Worksheets

Here is a range of free geometry worksheets for Year 2 pupils.

The following worksheets will help your child to:

• Identify and name a range of 2d and 3d shapes;
• Draw 2d shapes;
• Know some of the properties of 2d shapes.
• Year 2 Geometry Worksheets (1st Grade)

Measurement Zone, including Time & Money

Year 2 measurement worksheets.

Here is our selection of measurement worksheets for Year 2 pupils.

These sheets involve reading scales going up in ones to find the weight or liquid capacity.

Using these sheets will help children to consolidate their counting as well as learning to read a simple scale.

• Year 2 Measurement Worksheets (1st Grade)

Year 2 Money Worksheets

Here you will find a range of free printable First Grade Money Worksheets.

The following worksheets involve counting different amounts of money in pennies, nickels and dimes.

• learn the names and values of the US coins;
• learn to count up different amounts of money to £1 in coins.
• Free Counting Money Worksheets UK Coins (easier)
• Free Money Worksheets UK Coins up to £1

Printable Money Resources

• Printable Money Flashcards
• Kids Counting Money Dominoes

Telling the Time Worksheets

Here is our selection of telling the time worksheets for 1st grade.

• read o'clock and half-past times;
• convert o'clock and half-past times to digital;
• draw clock hands correctly to mark out o'clock and half-past.

The year 2 maths worksheets in this section will help your child learn to tell simple times on an analogue clock.

• Telling Time Worksheets o'clock and half-past
• Clock Worksheets - Quarter Past and Quarter To

Year 2 Bar Graph Worksheets

Here is our selection of bar graphs for first graders.

These Year 2 maths worksheets involve reading and interpreting a range of bar graphs and picture graphs with a scale going up in ones.

Using these sheets will help children to understand how bar graphs work.

• Year 2 Picture/Bar Graphs (First Grade)

Fun Zone: Puzzles, Games and Riddles

Year 2 Maths Games

Here you will find a range of free printable Math games. All children like to play Math games, and you will find a good range of Maths Games at a Year 2 level here for your child to play and enjoy.

• Year 2 Maths Games (First Grade)

Year 2 Maths Puzzles

Here you will find a range of printable Year 2 level math puzzles for your child to enjoy.

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

Using these puzzles will help your child to:

• develop thinking and reasoning skills;
• develop perseverance.
• Year 2 Maths Puzzles (1st Grade)
• Dot to Dot up to 50

Math Salamanders Year 2 Maths Games Ebook

Our Year 2 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 2 Maths Games Ebook

Other UK Maths Worksheet pages

See below for our other maths worksheets hub pages designed for children in the UK.

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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.

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NEW! Year 2 addition word problems

Subject: Mathematics

Age range: 5-7

Resource type: Worksheet/Activity

Last updated

27 October 2016

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Karen.barrow

Empty reply does not make any sense for the end user

Saved me time! Thanks :)

Tompartington

Exactly what I was looking for. Brilliant that it is editable too! Thank you.

Thank you for making it editable! Can add pictures for LA

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