problem solving addition and subtraction year 2

Addition & subtraction in Year 2 (age 6–7)

In Year 2, your child will solve addition and subtraction problems involving numbers, quantities, and measures. They will use a range of objects, pictures, diagrams, and symbols such as ‘+’, ‘–’ and ‘=’.

The key words for this section are  commutative , difference , and place value .

What your child will learn

Solve problems with addition and subtraction.

Your child will use objects (like counters, straws, and fruit), pictures (like number lines, grids, and arrays), and symbols (‘+’, ‘–’, and ‘=’) to solve maths problems.

Your child will encounter problems that involve:

• Quantities (for example, ‘3 apples’)
• Measures (for example, ‘5 centimetres’).

Your child’s increasing knowledge of mental and written methods will give them lots of different ways to do this. They will choose a method that best fits any given problem.

Use addition and subtraction facts up to 20, and derive and use related facts up to 100

Your child will know and use addition and subtraction facts up to 20. Then, they will use their knowledge of number facts and their knowledge of place value to help them work out addition and subtraction facts up to 100. For example:

If children know that 2 + 6 = 8, then they can work out that 20 + 60 = 80.   2 has become ten times larger and 6 has become ten times larger, so the total will be ten times larger.

In the above example, try to avoid telling your child that they ‘add a zero’, as this does not help them with their understanding of number and place value. It might end up being more confusing when children are also learning that adding zero does not change a number, so, for example, 2 + 0 = 2.

Your child will be taught to look for all sorts of patterns in numbers to help them solve problems. For example:

If your child knows 3 + 4 = 7, can they use this knowledge to work out the answer to 13 + 4 = ?

Your child should notice that one ten has been added to the 3, so the total will increase by one ten.

Add and subtract numbers mentally, and using objects and pictures

• a two-digit number and 1s (for example, 42 +/– 4)
• a two-digit number and 10s (for example, 34 +/– 20)
• 2 two-digit numbers (for example, 56 +/– 37)
• adding 3 one-digit numbers (for example, 3 + 9 + 5).

Show that addition can be done in any order and subtraction cannot

Your child will learn that when they are adding numbers, they get the same total no matter what order they add the numbers together:

7 + 4 = 11 4 + 7 = 11

This means that addition is commutative .

With subtraction, the order of the numbers does matter, as we will get different answers:

7 – 4 = 3 4 – 7 = – 3

This means that subtraction is not commutative.

Use the inverse relationship between addition and subtraction to solve and check calculations

Your child will be taught to understand the inverse relationship between addition and subtraction, i.e. that addition and subtraction undo each other.

They will be expected to use their understanding of this inverse relationship to check their calculations. For example, if they have calculated 5 + 6 = 11, they can check their answer by solving 11 – 6 = 5 or 11 – 5 = 6.

How to help at home

There are lots of quick and easy ways that you can help your child with addition and subtraction. Here are just a few everyday ideas to support your child’s learning:

1. Use the language of addition and subtraction

Using the correct mathematical vocabulary will get your child used to deconstructing word problems, and will make them familiar with the kinds of words they will hear in school.

Try to use mathematical language like  add , altogether , more , plus , total ,   and sum when adding. When your child finds the answer to an addition calculation, encourage them to use the word total or sum . If they talk about the fact that you can add numbers in any order and get the same answer, encourage them to use the word commutative .

There is also a lot of mathematical vocabulary related to subtraction. When your child tells you the answer to a subtraction calculation, encourage them to refer to this as the difference . For example, ‘7 – 3 = 4’ could be read as ‘the difference between 7 and 3 is 4’. They should also try to use the language take away , subtract , minus , less, fewer , and so on.

Try writing out the addition and subtraction symbols (‘+’ and ‘–’) along with the related words on cards (for example,  add , altogether , more , plus , total , sum , take away , subtract , minus , less , and  fewer) . Help your child to link the words to the correct symbol. If necessary, help them to read some of the words.

2. Play the Addition and Subtraction Facts game

Encourage your child to practise addition and subtraction to 20. This will help them derive related facts such as:

3 + 7 = 10 10 – 7 = 3 7 = 10 – 3.

Once they’ve done this, they should be able to use their knowledge of place value to calculate more facts:

30 + 70 = 100 100 – 70 = 30 70 = 100 – 30.

You could play the Addition and Subtraction Facts game with your child to practise. Print out page 20 of the Maths in School: addition booklet . Take five of the questions and give your child five of the answers. Read out the first question and ask your child if they can find the answer. If your child does not know the answer immediately, ask them how they could work it out. For example, for the calculation 5 + 6 = ?, you could suggest that if they know 5 + 5 = 10, this could help them to work it out.

Try giving your child a simple calculation such as 5 + 3 = 8. Ask them to record as many related addition and subtraction facts as they know. For example, if they know that 5 + 3 = 8, then they should be able to work out that 3 + 5 = 8,  8 – 3 = 5, 8 – 5 = 3, 15 + 3 = 18, 50 + 30 = 80, and so on.

Activity: Making calculations

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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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.
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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 ...

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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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Addition and Subtraction KS1

This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

Find all the numbers that can be made by adding the dots on two dice.

Unit Differences

This challenge is about finding the difference between numbers which have the same tens digit.

Cuisenaire Counting

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Sort Them Out (1)

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Number Balance

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Arranging Additions and Sorting Subtractions

Order these four calculations from easiest to hardest. How did you decide?

Domino Sorting

Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

One Big Triangle

Make one big triangle so the numbers that touch on the small triangles add to 10.

Subtraction Slip

Can you spot the mistake in this video? How would you work out the answer to this calculation?

Pairs of Numbers

If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?

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Can you find two butterflies to go on each flower so that the numbers on each pair of butterflies adds to the number on their flower?

Equivalent Pairs

Can you match pairs of cards which show the same amount?

Number Lines

A resource to try once children are familiar with number lines, and they have begun to use them for addition. It could be a good way to talk about subtraction. Leah and Tom each have a number line. Can you work out where their counters will land?

Two Spinners

What two-digit numbers can you make with these two dice? What can't you make?

The Add and Take-away Path

Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

What Could It Be?

In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?

Heads and Feet

On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

Jumping Squares

In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

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In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

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Eggs in Baskets

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?

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Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

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Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.

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Doing and Undoing

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Sitting Round the Party Tables

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How Do You See It?

Here are some short problems for you to try. Talk to your friends about how you work them out.

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Column addition and subtraction year 2

Subject: Mathematics

Age range: 5-7

Resource type: Worksheet/Activity

Last updated

2 April 2024

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Column addition and subtraction starter for year 2.

Covering WTS, EXP and GD skills.

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