year 2 number and place value problem solving

Number & place value in Year 2 (age 6–7)

In Year 2, your child will learn to compare and order numbers from 1 to 100. They will recognise the place value of two-digit numbers, and will be able to use this to solve problems. They will also make more use of number lines and will be able to use less than (<), more than (>), and equals (=) symbols.

The key words for this section are number and place value .

What your child will learn

Take a look at the National Curriculum expectations for number and place value in Year 2 (ages 6–7):

Count in 2s, 3s, and 5s from 0, and in 10s from any number

Recognise the place value of two-digit numbers.

For example, in ’25’, they will understand that the first number (2) shows the number of tens, and the second number (5) shows the number of ones. So there are two tens and five ones in the number 25. Note that your child will say ones and not units when talking about place value.

Identify, represent, and estimate numbers shown in different ways

Your child will be expected to use objects, drawings/diagrams/pictures, number lines and 100 squares , and symbols to represent numbers. They will make these representations themselves, and will also be able to understand them when someone else has made them.

Your child will also start to estimate numbers based on different representations. For example, they will be able to say, ‘each of those piles of sticks has about 10 sticks, so we have about 30 sticks.’

Compare and order numbers from 0 to 100

Your child will be able to compare two numbers to say which one is bigger and which one is smaller. They will also be able to explain why:

47 is more than 29 as 47 has 4 tens compared with 29 which only has 2 tens.

Your child will learn to put a selection of numbers between 0 and 100 in order:

46, 19, 3, 76, 43, 79 in order from smallest to largest are 3, 19, 43, 46, 76, 79.

Your child will use the words will use the words  more , less , fewer , more than , less than , equal to , equivalent to , and the same value as when comparing numbers. They will use the word  fewer  when working with things that can be counted, and less when working with abstract numbers and things that are  continuous .

‘I have 3   fewer   sweets than you.’   ‘There is   less   water in the glass than in the bottle.’   ‘25 is   less  than 42.’

They will also be able to use the more than (>), less than (<) and equals (=) symbols to compare numbers.

Read and write numbers up to at least 100

Your child will read and write numbers to at least 100 in numerals (1, 2, 3, and so on) as well as in words (one, two, three, and so on).

Writing out the numbers 10–20 can be particularly tricky for children, so your child might need a bit more focus on these numbers to start with.

Use place value and number facts to solve problems

‘If I have 6 apples and you have 4 apples, how many apples do we have altogether?’

To solve this problem, your child needs to understand that zero can be used as a placeholder in numbers like 10, where the ‘1’ means that there is one ten, and the ‘0’ means there are no ones.

How to help at home

There are lots of ways you can help your child to understand number and place value. Here are just a few ideas:

1. Represent numbers creatively

Showing numbers in interesting ways really helps your child to understand number and place value. Objects from around the home like buttons, dried pasta shapes, marbles, or pencils are great to practise counting and organising numbers. For example, ’32’ could be represented by 32 marbles arranged into three groups of ten and two ones.

As well as objects, your child can use drawings, diagrams, or symbols to represent numbers. For example, you could draw 23 stick figures, then draw a circle around each group of ten, with three left outside of the circles. This shows that 23 is made from two tens and three ones.

Video: What is number?

Get a simple definition of the concept of number and the difference between cardinal, ordinal and nominal numbers with this fun animation.

2. Play a matching game

Your child will be expected to write numbers up to 100 using numerals and words. You could support their learning by playing a matching game.

Make two sets of simple cards or pieces of paper. On one set of cards, write numbers in numerals (for example, ’67’). On another set of cards, write the matching number names (for example, ‘sixty-seven’). Mix all the cards up and play snap.

Activity: Number words

3. Compare and order numbers

Encourage you child to talk through how they know that one number is bigger or smaller than another:

I know that 32 is smaller than 76, because 32 only has 3 tens, and 76 has 7 tens.

Encourage your child to use more than (>) and less than (<) symbols when comparing numbers. For example, they could write 32 < 76 or 76 > 32.

You could practise ordering with a card game. Write twenty two-digit numbers and the ‘>’ and ‘<‘ symbols on separate pieces of paper. Deal your child two numbers, face down. Ask them to turn over the pieces of paper and to use the ‘>’ and ‘<‘ symbols to show which number is bigger or smaller.

Activity: Number statements

When your child is counting objects, ask them to estimate how many there are before they count them. Being able to make accurate estimates within mathematics is a valuable skill we use in everyday life. It will help them to tell if their answers to maths problems are reasonable or not.

When counting more than ten objects in a set, it is an important skill for your child to be able to group objects in groups of ten. For example, if they are counting 36 buttons, encourage them to begin by counting out buttons into groups of ten. They will then have 3 groups of ten buttons and 6 buttons on their own.

Activity: Counting coins

5. Partition numbers in different ways

Partitioning means to break numbers into parts. Use practical resources, such as straws grouped in tens, to partition numbers in different ways. For example, the number 54 can be partitioned into 50 + 4, 40 + 14, 30 + 24, 20 + 34, or 10 + 44.

This will help your child to see patterns in numbers as they develop their calculation skills.

6. Using number facts

To help reinforce your child’s understanding of number, try to find everyday opportunities for them to use known number facts to solve problems.

This is a really easy thing to do at home and in the shops. For example:

‘If we buy 7 apples and 3 bananas – how many pieces of fruit do we have altogether?’   ‘If we have 10 people coming to your party and we have 5 party bags, how many more do we need to buy?’

• Age 3–4 (Early Years)
• Age 4–5 (Reception)
• Age 5–6 (Year 1)
• Age 6–7 (Year 2)
• Age 7–8 (Year 3)
• Age 8–9 (Year 4)
• Age 9–10 (Year 5)
• Age 10–11 (Year 6)
• Year 1 (age 5–6)
• Year 2 (age 6–7)
• Year 3 (age 7–8)
• Year 4 (age 8–9)
• Year 5 (age 9–10)
• Year 6 (age 10–11)
• Help with times tables
• Ratio & proportion
• Learning to tell the time
• Numicon parent guide
• MyMaths parent guide
• Maths activity books

Year 2 Number and Place Value

Click on an objective for related worksheets and resources.

Classroom Stars

Year 2 | Place Value Problems Worksheets

Check out our fantastic Year 2 place value problem-solving worksheets ! These worksheets are packed with real-life questions all about place value that your pupils will love to tackle. Take, for instance, the mystery of Ben’s number, nestled between 36 and 45. Can they crack the code and guess one of Ben’s possible numbers? Then, your learners will be asked how many tens and ones a group of 2-digit numbers have. Lastly, children will finish this worksheet by solving a word problem related to boxes of crayons and using their place value skills.

Pupils apply their place value skills to solve real-world problems, reinforcing the practical importance of understanding how numbers are structured. This Year 2 place value problem-solving worksheet includes a variety of question types, from guessing numbers to counting tens and ones and solving word problems, covering a range of approaches to learning place value.

Our Year 2 place value problem-solving worksheets are aligned with KS1 number and place value on the primary national curriculum. All of our Year 2 number and place value worksheets can be combined with your ideas for primary maths activities, learning resources, teaching material, visual aids, games, differentiation, display boards, homework, and lesson plans.

You might also like our Year 2 Place Value Worksheets .

Explore all of our Year 2 maths worksheets .

Access this resource and thousands more for just £9.95 per year

You might also like...

Year 1 | Planning a Story Worksheets

Counting in 7s Flashcards

Counting Ladybirds: Numbers 0 to 10 Flashcards

You have subscribed to our newsletter.

You have joined the list to receive our newsletter! Be sure to look out for all our latest resources, news and reads from our blog.

New password created

Your new password has been created. A confirmation email has been sent to you.

Check your email

We have sent you an email with a link to create a new password.

Remember to check the junk folder in case the link was sent there.

Your message has been received

Thank you for getting in contact with us! A member of our team will do their best to get back to you as soon as possible.

Request for school membership received

Thank you for providing us with your details. A member of our team will get back to you as soon as possible with the next steps.

Email address updated

Your email address has been updated. A confirmation has been sent to your previous email address.

Download your free resource pack

Thank you for joining the list to receive our newsletter! Click below to download your free sample resource pack.

Username or Email

Remember Me

Lost Password?

Year 2: Number and Place Value

New Maths Curriculum (2014): Year 2 objectives.

Using materials and a range of representations, pupils should practise counting, reading, writing and comparing numbers to at least 100 and solving a variety of related problems to develop fluency. They should count in multiples of three to support their later understanding of a third.  

As they become more confident with numbers up to 100, pupils should be introduced to larger numbers to develop further their recognition of patterns within the number system and represent them in different ways, including spatial representations. 

Pupils should partition numbers in different ways (e.g. 23 = 20 + 3 and 23 = 10 + 13) to support subtraction. They become fluent and apply their knowledge of numbers to reason with, discuss and solve problems that emphasise the value of each digit in two-digit numbers. They begin to understand zero as a place holder. 

Related Worksheets

Count in steps of 2, 3, and 5 from 0, and count in tens from any number, forward or backward, recognise the place value of each digit in a two-digit number (tens, ones), identify, represent and estimate numbers using different representations, including the number line, compare and order numbers from 0 up to 100; use and = signs, read and write numbers to at least 100 in numerals and in words, use place value and number facts to solve problems.

Having trouble logging in? Some users have reported difficulties following a site update. If this includes you, please email [email protected] so we can get you up and running.

Making great literacy lessons easy. Why join Plazoom?

Problem Solving: Year 2 – Number and Place Value – Maths Challenge

Resource Collection Challenge Maths

Subscribe today and receive…

• Unlimited access to 1000s of resources
• 80+ CPD guides and 60+ training videos
• Access to THREE whole-school curriculums: - Real Writing - Real Comprehension - Real Grammar
• The complete Word Whosh vocabulary building programme
• Free subscription to Teach Reading & Writing magazine, and digital access to all back issues
• Exclusive, member-only resource collections
• New resources added every week

These problem-solving worksheets provide extra challenge for Y2 children. A variety of problems are spread across three sections, enabling you to use the whole sheet during a single lesson or to select specific problems for different teaching sessions, or home learning.

Y2 maths objective: use place value and number facts to solve problems.

This resource is part of the Challenge Maths collection. View more from this collection

• answer sheets

Trending Today

Ks2 comprehension – classic literature…, ks1 and ks2 writing templates for…, year 1 home learning pack (1), year 6 spelling revision – ks2…, look inside.

Click through to see what this resource has to offer

More from this collection

Recognising place value: year 3 – number and place value – maths challenge, negative numbers: year 4 – number and place value – maths challenge, fractions of numbers: year 2 – fractions – maths challenge, converting standard measurements: year 6 – measurement – maths challenge, decimal equivalents: year 5 – fractions – maths challenge, converting time: year 4 – measurement – maths challenge, adding and subtracting fractions: year 3 – fractions – maths challenge, perimeters: year 4 – measurement – maths challenge, browse by year group, upgrade now.

Click 'Upgrade now' to activate your subscription. An invoice will appear on your accounts page and be sent by email. Once paid, the benefits of your full account will be unlocked within five days.

• International
• Schools directory
• Resources Jobs Schools directory News Search

Using place value to solve problems. Year 2, 2 lessons, differentiated, worksheets and IWB slides

Subject: Mathematics

Age range: 5-7

Resource type: Worksheet/Activity

Last updated

2 September 2022

• Share through email
• Share through twitter
• Share through linkedin
• Share through facebook
• Share through pinterest

Creative Commons "Sharealike"

Your rating is required to reflect your happiness.

It's good to leave some feedback.

Something went wrong, please try again later.

Empty reply does not make any sense for the end user

Campbell164

Thank you a great help recapping on Place Value

IWB resources and children's activities.<br /> Thanks so much for this...i was losing the will to live with this objective. Complete life saver

Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

Not quite what you were looking for? Search by keyword to find the right resource:

Or search by topic

Number and algebra

• The Number System and Place Value
• Calculations and Numerical Methods
• Fractions, Decimals, Percentages, Ratio and Proportion
• Properties of Numbers
• Patterns, Sequences and Structure
• Algebraic expressions, equations and formulae
• Coordinates, Functions and Graphs

Geometry and measure

• Angles, Polygons, and Geometrical Proof
• 3D Geometry, Shape and Space
• Measuring and calculating with units
• Transformations and constructions
• Pythagoras and Trigonometry
• Vectors and Matrices

Probability and statistics

• Handling, Processing and Representing Data
• Probability

Working mathematically

• Thinking mathematically
• Mathematical mindsets
• Cross-curricular contexts
• Physical and digital manipulatives

For younger learners

• Early Years Foundation Stage

Advanced mathematics

• Decision Mathematics and Combinatorics
• Advanced Probability and Statistics

Place Value KS1

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

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

Snail One Hundred

In this game, you throw a dice and move counters along the snail's body and in a spiral around the snail's shell. It is about understanding tens and ones.

Round the Two Dice

This activity focuses on rounding to the nearest 10.

Two-digit Targets

You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

Light the Lights

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

If you put three beads onto a tens/ones abacus you can make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?

Largest Even

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

Digit Addition

Try out this number trick. What happens with different starting numbers? What do you notice?

Find out why teachers and school leaders love PlanBee

• 📚 Cross-Curricular Topics
• ✂️ Design & Technology
• ♻️ Education for Social Responsibility
• 🌍 Geography
• ⛪️ Religious Education
• 🎉 Special Days
• 🦸‍♀️ Special People
• 🏫 Whole School CURRICULUM PACKS
• Vision and Principles
• Our Curriculum Offer
• Whole School Curriculum Packs
• Become a Whole School Member
• FREE Schemes of Work
• Sample Packs
• Learn at Home
• Objective Checker
• How does it work?
• Special Offers
• BECOME A MEMBER 🧡

Let's solve place value problems

This Year 2 'Let's solve place value problems' scheme of work is a great way to familiarise your class with numbers to one hundred. By the end of the week, they will be able to identify, make and represent the numbers in a variety of different ways and they will have recapped their knowledge of how to use place value to solve number problems.

#TheCompleteSeries5lessons

With detailed lesson plans, engaging slides, differentiated worksheets and many other resources, these 'Let's solve place value problems' lessons provide all you need to teach this useful scheme of work.

#Lesson1UsingVennDiagrams

The first lesson in this series encourages your class to identify and discuss how numbers have been sorted into different Venn diagrams. Your class will have the opportunity to work out the rule that has been used to sort numbers, as well as adding more numbers to the different sections of the Venn diagram.

What's included:

• Lesson plan
• Activity ideas
• Missing number grids
• Venn diagrams
• Photo sheet

#Lesson2GuessMyNumber

The second lesson in this series focuses on using the place value of digits to solve number problems. Your class will be encouraged to work out which number is being described from a series of clues. Numbers are shown in various forms such as numerals, words and represented using base ten blocks.

• Question cards
• Number sets
• Jigsaw cards

#Lesson3RepresentingNumbersWithCoinsBeads

The third lesson in this series encourages your class to explain why different representations of coins and beads denote certain numbers.

These activities will promote the use of mathematical language, reinforcing the use of place value skills as well as representing numbers in different forms.

• Differentiated worksheets
• Number cards

#Lesson4OrderingNumbers

During the fourth lesson in this series, your class will apply their knowledge of number facts and place value to order dates and prices. The exciting activities include ordering famous people by the age they were at significant points in their lives and sorting temperatures in the United Kingdom and around the world. Your class will also have the opportunity to order money and date cards.

• Temperature cards
• Number card sets

#Lesson5SecretNumber

In the fifth and final lesson in this series, your class will continue to apply their knowledge of number facts and place value to solve a range of problems. During the teaching input the children will read several clues to work out a secret number using a hundred square to help. Finally the children will take part an end of unit quiz recapping various place value number problems they covered throughout the scheme.

• End of Unit quiz
• Market stall cards
• Fifty grids
• Hundred squares

Free Overview (Medium-Term Plan)

Download a free overview to support your teaching of this scheme of work.

Free Assessment Grid

Download a free, editable assessment grid to support your teaching of this scheme of work.

Curriculum Objectives covered

• Year 2 - count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward
• Year 2 - recognise the place value of each digit in a two-digit number (tens, ones)
• Year 2 - identify, represent and estimate numbers using different representations, including the number line
• Year 2 - use place value and number facts to solve problems

Customer Reviews

Added to your cart:.

What's Your Email?

Let customers speak for us

Thank you so much- I saved hours searching for things and making my own resources. The plans were very easy to use and the resources are excellent (and easy to match up to the activities as they are all labelled in a way that works well). Ill definitely use again!

Thank you for your review - we are so pleased to hear that you have found our resources useful, and that they have saved you time!

Blank Jigsaws

Thanks, Chris!

South America

Thanks, Charlotte!

Thank you - we have found this very useful when introducing show not tell and using it in our writing.

That's great to hear, Jenni! Thank you for taking the time to leave us a review :-)

Intrepid Explorers

Thank you, Luiza!