year 2 maths problem solving questions

45 year 2 maths questions

Learn how to master year 2 maths word problems with these 45 maths questions! Answers included.

Author Michelle Griczika

Published February 2024

• Key takeaways
• Addition & Subtraction : Adding and subtracting numbers is like solving puzzles and helps us with real-life situations.
• Word Problems : Solving word problems makes maths fun and helps us become better readers and problem solvers.
• Place Value : Understanding place value helps us read and write numbers correctly and compare their values.
• Measurement & Time : Measuring objects and telling time help us understand the world around us and manage our daily routines.
• Geometry (Shapes) : Recognizing shapes and their properties helps us see the world in a new way and understand how things are put together.

Table of contents

• Addition and Subtraction
• Word Problems
• Place Value
• Geometry (Shapes)

Did you know that ladybugs have spots on their backs?

If a ladybug has 2 spots on its back and it gets 1 more spot, how many spots will the ladybug have in total?

The lady bug will have 3 spots!

Year 2 maths word problems are like fun puzzles that help us use our maths skills to solve real-life situations. They are essential to year 2 maths, and practising them can help us become maths superstars!

• We can use addition and subtraction to determine how many cookies are left in a jar, how many friends are on the playground, or even how many apples are in a basket.
• Understanding place value is like being a number detective. It helps us read big numbers and know the value of each digit, so we can count things like how many toys we have or how many days until our birthday.
• Measuring things and telling time is like being an explorer in the real world. We can measure how tall we are, how long a pencil is, or even how much water is in a glass. And knowing how to read a clock helps us know when it’s time for fun activities or when it’s time to go to bed.
• Shapes are like building blocks of the world around us. We can learn about squares, triangles, and circles by looking at objects we see every day. It’s like being a shape detective, finding out how many sides and corners they have, and how they fit together like puzzle pieces in year 2 maths questions.

All of these skills are necessary for year 2 maths practice! Use these 45 maths questions to go over important maths skills needed to strengthen your student’s understanding and knowledge.

Today, we are going to practise different year 2 maths skills that cover measurement, addition and subtraction, and more! Once you are done, check your work with our answer sheet!

Section 1: Addition & subtraction

Section 2: word problems, section 3: place value, section 4: geometry (shapes), section 5: time.

What time is the clock below telling?

Time answer sheet

Parents, sign up for a DoodleMaths subscription and see your child become a maths wizard!

Lesson credits

Michelle Griczika

Michelle Griczika is a seasoned educator and experienced freelance writer. Her years teaching first and fifth grades coupled with her double certification in elementary and early childhood education lend depth to her understanding of diverse learning stages. Michelle enjoys running in her free time and undertaking home projects.

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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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Free Year 2 Maths Worksheets And Homework: Printable, Downloadable Or Just View Online

Sophie Bessemer

Here you can find all our free Year 2 maths worksheets and Year 2 maths resources, many of which are suitable for homework and home learning .

All our KS1 and KS2 maths worksheets are printable and most are in pdf format, but they can also be viewed online too. If you’re looking for other slides-based teaching resources and lesson plans, we recommend you look at our range of White Rose maths lessons.

The hope is that these pdf Year 2 maths worksheets and free resources can be used with minimal support from parents as part of a 6 or 7 year old’s Year 2 maths homework routine and by teachers as part of a planned lesson framework.

For parents working with their children at home we would recommend you focus on practising and improving pupils’ core numeracy skills using the numbers worksheets as these generally require less input than topics like geometry – 2d shapes and 3d shapes. Place value and number after all are the building blocks of Key Stage 1 and later Key Stage 2 maths.

We have also included some telling the time worksheets; these will require support from a teacher or parent but the method used is truly revolutionary.

National curriculum guidance is given where relevant and each Year 2 worksheet includes answer sheets.

If you’re a parent then our home learning hub is full of home learning packs , workbooks, tips and further teaching ideas for Year 2 Maths at home and maths homework . 

If you’re a teacher or school leader who is interested in improving maths attainment in your school or classroom, then Third Space Learning is here to support you with our online tutoring programme of maths interventions , together with maths resources and CPD.

Free Year 2 Maths Worksheets and Tests

Register now with the Third Space Maths Hub (Use Chrome) to download all our free Year 2 maths worksheets, workbooks and resources

Year 2 Free Place Value Worksheets

Year 2 free addition, subtraction, multiplication, division worksheets, year 2 free fractions worksheets , other year 2 free worksheets .

• Also in this series…

Year 2 Maths Worksheets on place value: Worked Examples

Understanding place value is essential for all children of any age. In Year 2, children will need to know the value of digits in a two digit number as well as comparing numbers and continuing sequences. This worksheet shows children common errors that are made in the place value topic. Children then become ‘the teacher’ and check the answers and explain any errors they find. 

Download Year 2 place value worksheets: Worked Examples

Year 2 Maths Worksheets on addition and subtraction: Worked Examples

In Year 2, children will focus on adding and subtracting 2-digit numbers. It is important that children know addition and subtraction facts they were taught in Year 1, for example number bonds . This worksheet focuses on a range of addition and subtraction problems that have been incorrectly solved. Children will need to check and correct questions such as subtracting using a bar model, using known facts and missing number problems. 

Download Year 2 addition and subtraction worksheets: Worked Examples

Year 2 Maths Worksheets on multiplication and division: Independent Recap

Children will start to focus on more formal methods of multiplication and division when in Year 2, including understanding patterns in the 2s, 5s and 10s times tables . These worksheets allow children to work independently on the ten times tables, odd and even numbers, grouping and sharing through a range of question types (word problems, fluency questions and so on). 

Download Year 2 multiplication and division worksheets: Independent Recap

Year 2 Maths Worksheets on multiplication and division: Worked Examples

There are many misconceptions that can form when first looking at multiplication and division. This worksheet focuses on addressing common misconceptions or errors in multiplication and division. The worksheet covers understanding what equal groups are, the relationship between repeated addition and multiplication as well as finding missing numbers in given calculations. 

Download Year 2 multiplication and division worksheets: Worked Examples

Year 2 Maths Worksheets on times tables: Ultimate Times Tables 

In Year 2, children will start to learn their times tables after learning to count in 2s, 5s and 10s in Year 1. These games are a fun way of learning times table facts, including the related inverse division calculations.  

Download Year 2 times tables worksheets: Ultimate Times Tables

Year 2 Maths Worksheets on fractions: Independent Recap

There is a lot of new vocabulary introduced in fractions in Year 2 (including the use of actual fractions). These worksheets allow children to work independently through the new vocabulary and concepts introduced, so would be useful for homework or home learning tasks. The worksheets work through unit fractions and non-unit fractions, finding a half and finding a quarter. For each worksheet, there is at least one question that encourages children to explain their answers and develop their reasoning skills. 

Download Year 2 fractions worksheets: Independent Recap

Year 2 Maths Worksheets on fractions: Worked Examples

Many children struggle with the concept of fractions. At a young age, children can develop a range of misconceptions that could under them in future years. This worksheet aims to identify common misconceptions and errors children make in the Year 2 fractions topic (such as a fraction being equal parts) and encourage them to discuss them. 

Download Year 2 fractions worksheets: Worked Examples

Year 2 Maths Worksheets for improving mental maths skills, arithmetic and fluency: Fluent in Five

We recommend every primary school child starts their day with Fluent in Five. It’s 5-10 minutes of daily arithmetic questions and is available for every primary school year group. In Year 2 children have 3 questions per day to answer. They are given prompts of concrete or pictorial resources (such as counters or number lines) they could use to help them solve the question presented to them. You’d be amazed at how quickly young people will build their number confidence with this resource. 

Download Year 2 arithmetic worksheets: Fluent in Five

Year 2 Maths worksheets for telling the time

For some reason learning to tell the time proves a challenge for most children, regardless of their prior attainment in maths. If you have a child who’s struggling with telling the time these worksheets provide a step by step process to help them master it. The key is to start with a number line.

Download KS1 telling the time: Activity Worksheets

Year 2 maths games worksheets and activities

Getting children fully engaged can be a struggle at times, especially towards the end of the summer term. We have over 20 great ideas for KS1 maths games which bring out the fun side of problem solving and get children excited about maths. Each gameplay outline includes a ‘What You Will Need’ section, so that you can be fully prepared to bring out Fraction Snap or Subtraction Bowling during your next lesson.  

Download Year 2 maths games and activities resource pack

Read More: 25 Fun Maths Games For Kids To Do At Home For Free!

Also in this series…

• Year 3 Maths Curriculum Toolkit for 6 & 7 Year Olds
• Year 3 Maths Worksheets
• Year 4 Maths Curriculum Toolkit for 7 & 8 Year Olds
• Year 4 Maths Worksheets
• Year 5 Maths Curriculum Toolkit for 9 & 10 Year Olds
• Year 5 Maths Worksheets
• Year 6 Maths Curriculum Toolkit for 10 & 11 Year Olds
• Year 6 Maths Worksheets

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Problem-solving maths investigations for year 2.

Hamilton provide an extensive suite of problem-solving maths investigations for Year 2 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor – high ceiling' activities for all.

Explore all our in-depth problem solving investigations for Year 2 .

Use problem-solving investigations within every unit to encourage children to develop and exercise their ability to reason mathematically and think creatively.

Investigations provide challenges that offer opportunities for the development of the key mathematical skills while deepening conceptual understanding. They are designed to be accessible in different ways to all children. An added bonus is the substantial amount of extra calculation practice they often incorporate! The problems are designed to help children identify patterns, to explore lines of thinking and to reason and communicate about properties of numbers, shapes and measures.

Hamilton provide a mix of our own specially commissioned investigations, that include guidance for teachers together with a child-friendly sheet to guide your pupils through the investigation, as well as links to investigations on other highly regarded websites.

I am very grateful for Hamilton Trust resources, particularly the maths investigations. Julia, teacher in Wiltshire

You can find Hamilton's investigations for Year 2:

• Individually, they are incorporated into every unit in our Year 2 flexible maths blocks .
• Collectively, they appear on our resources page where you can explore all our in-depth problem solving investigations for Year 2 .

Do read our extensive range of advice for more information about the investigations and for tips on how to use them effectively.

Hamilton’s problem-solving investigations are 'low floor, high ceiling' activities that give all children opportunities to develop mastery and mathematical meta-skills. Explore a set for a whole year group.

Hamilton’s Problem-solving Investigations provide school-wide solutions to the challenges of building investigative skills from Early Years to Year 6.

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Maths Resources & Worksheets >

Year 2 Resources and Worksheets

About these resources.

These Year 2 maths lessons for KS1 include teacher led IWB and PowerPoints, worksheets and activities for Year 2 primary teachers. There are lessons, worksheets and activities for each area of the curriculum. Our lessons are organised into blocks and steps to ensure full coverage for the National Curriculum in an order that builds and progresses across the year. Place Value, Addition and Subtraction, Money, Multiplication and Division, Statistics, Properties of Shapes Fractions, Length and Height and Time resources are covered. In addition, we have different question types including varied fluency, reasoning and problems solving, investigations and consolidation .

Maths Stem Sentences

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Other Maths Resources

Spring maths year 2 fractions resources & worksheets, spring maths year 2 length & perimeter resources & worksheets, spring maths year 2 multiplication & division resources & worksheets, spring maths year 2 properties of shape resources & worksheets, spring maths year 2 statistics resources & worksheets, summer block 1 (position and direction), summer block 2 (problem solving), summer block 3 (time), summer block 4 (mass, capacity and temperature), summer block 5 (investigations), times tables quizzes, year 2 autumn maths - addition and subtraction, year 2 autumn maths - money, year 2 autumn maths - multiplication and division, year 2 autumn maths - place value 1, year 2 consolidation packs.

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Year 2 Partition Numbers up to 100 Homework

Give children an extra opportunity to practise using part-whole models with this Year 2 Partition Numbers up to 100 Homework.

Year 2 Tens and Ones Varied Fluency

Give your children lots of practice of counting in tens and ones to develop their understanding of place value with this differentiated Year 2 Tens and Ones Varied Fluency resource.

Year 2 Tens and Ones Fluency Matrix

This Year 2 Tens and Ones Fluency Matrix is the ideal resource for testing your pupils' fluency skills when studying tens and ones.

Year 2 Tens and Ones Discussion Problem

Our Discussion Problems offer your children an in-depth question that has more than one possible answer to promote discussion within groups, exploration of different ways of thinking and different methods of calculating.

Free Year 2 Autumn Week 1 Rapid Arithmetic

This Year 2 Autumn Week 1 Rapid Arithmetic resource includes five questions across three sections which develop in challenge to ensure a range of needs are catered for.

Free Year 2 Autumn Week 1 Maths in Minutes

This Year 2 Maths in Minutes contains three worksheets that are intended to be used independently.

Year 2 Tens and Ones Reasoning and Problem Solving

Develop children's reasoning and problem-solving skills with this Year 2 Tens and Ones Reasoning and Problem Solving resource.

Year 2 Autumn Week 2 Maths in Minutes

This Year 2 Autumn Week 2 Maths in Minutes resource is perfect for using in the autumn term for children to recap on previously taught year 1 objectives.

Year 2 Autumn Week 3 Maths in Minutes

This Year 2 Autumn Week 3 Maths in Minutes resource is designed to keep your children's knowledge and skills up to scratch!

Year 2 Make Groups of 10 Fluency Matrix

Are you looking for a way to support children in extending their fluency skills? This Year 2 Make Groups of 10 Fluency Matrix is the ideal resource to encourage children when learning all about making groups of 10 when counting to numbers up to 100.

Year 2 Partition Numbers up to 100 Fluency Matrix

If you would like to asses your pupils' fluency skills when partitioning numbers up to 100, then look no further!

Year 2 Partition Numbers up to 100 Varied Fluency

Get children confident with part-whole models with our Year 2 Partition Numbers up to 100 Varied Fluency resource.

Year 2 Partition Numbers up to 100 Reasoning and Problem Solving

Test children's understanding of part-whole models with our Year 2 Partition Numbers up to 100 Reasoning and Problem Solving worksheet.

Year 2 Partition Numbers up to 100 Discussion Problem

Master part-whole models with our Year 2 Partition Numbers up to 100 Discussion Problem.

Year 2 Compare Objects Fluency Matrix

Encourage children to develop their fluency skills when comparing groups of objects with this Year 2 Compare Objects Fluency Matrix.

Year 2 Compare Objects Reasoning and Problem Solving

This Year 2 Compare Objects Reasoning and Problem Solving resource contains a total of six questions; two are reasoning questions and four are problem solving.

Year 2 Estimate on a Number Line Varied Fluency

This Year 2 Estimate on a Number Line Varied Fluency resource contains a variety of questions that will assess children's understanding of estimating numbers on a number line to 100.

Year 2 Estimate on a Number Line Reasoning and Problem Solving

If your pupils have tackled estimating on a number line fluency questions, they may be ready for some reasoning and problem solving questions to really embed their knowledge.

Year 2 Estimate on a Number Line Supporting Activity

Looking for an activity to build on children's understanding of using number lines to estimate? This Year 2 Estimate on a Number Line Supporting Activity is sure to fit the bill!

Year 2 Estimate on a Number Line Discussion Problem

Give children a challenge to sink their teeth into with our Year 2 Estimate on a Number Line Discussion Problem.

Year 2 Number Lines up to 100 Reasoning and Problem Solving

Download this Year 2 Number Lines up to 100 Reasoning and Problem Solving resource to give your young learners an extra challenge when exploring number lines.

Year 2 Number Lines up to 100 Discussion Problem

Have your class been busy practising using number lines up to 100? If so, how about giving them a new challenge to encourage deeper thinking?

Year 2 Estimate on a Number Line Fluency Matrix

Throughout this Year 2 Estimate on a Number Line Fluency Matrix, pupils will progress through the steps by labelling numbers on a number line; identifying which points are closest to a given number; and estimating which numbers are labelled with decreasing levels of support.

Year 2 Number Lines up to 100 Homework

This Year 2 Number Lines up to 100 Homework resource is the ideal activity if you're looking for an additional extension at the end of a lesson, or if you're wanting children to recap their learning at home.

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Reasoning/Problem Solving

Year 2 Reasoning

Many schools are using some of the ideas of the ‘mastery programme’ as used in Singapore and other parts of the Far East. The aim of this programme is to give children a deep understanding and fluency in the fundamentals of maths. Because this understanding is deep it will not have to be re-taught at a later time; something which happens all too often at the moment.

This new approach needs new resources, especially geared towards reasoning and problem solving. Thankfully we have always considered reasoning to be a key part of the maths curriculum and many of our resources in all categories are designed for this. But we also have a separate category in each year group called, ‘Reasoning and Problem Solving’ where you will find a rich source of material.  In Year 2 we have a large selection of  ‘How many ways ….’ type of practical exercises (e.g. How many different ways can you score 12 with 3 dice?) These encourage children to think logically and order their results so that they can be sure that they have all possible answers. A favourite of mine is the ‘Two Coin Challenge’. Progressing from these practical tasks are the more abstract challenges such as making 2-digit numbers from a set of number cards.

Finally, take some time out to play the maths games such as Nim which originated in China. They are great at developing logical thinking and developing a winning strategy. You should never lose if you go first! These pages really are not to be missed and we thoroughly recommend them.  

Money and shopping

Solving problems involving money and shopping.

What coins could you receive when given 10p change?

What totals can be made from just two coins?

I've got three coins. They are all different. What possible totals could I have?

Can I use just 7 coins to pay all amounts up to 20p?

Solving problems about shopping: quite tricky.

More solving problems about shopping: quite tricky.

Buy shapes which are priced according to the number of sides.

'How many ways' investigations

Challenges which ask how many possible ways there are to solve a problem.

Three boxes and 20 buttons. How many different ways can the buttons be put in the boxes so that each box has an even number?

19 buttons to sort into odd numbers.

How many presents could each of the three girls have got from a total of 20. They all got an even number of presents!

How many ways can the apples be put in the boxes so that there is an even number of apples in each box?

How many ways can the balloons be coloured? A logical thinking exercise.

How many different addition, subtraction and multiplication questions can be made with the cards shown?

How many different addition sentences can be made using the numbers shown?

Create a number plate for the gorillas new car: but you can only use the digits 1, 2 or 3!

How many different ways can various jars be filled with jam?

How many different ways can various buckets be filled with water?

How many different ways can various containers be filled with shampoo?

How many different ways can various containers be filled with bubble bath?

Investigating combinations of fruit.

Investigating combinations of packs of toy farm animals.

Investigating combinations of groups of children.

Find all the ways of jumping forward.

Three very athletic runners sharing a 19 mile relay. They each run an odd number of miles. How could they do this?

Mini investigations into how many different ways totals can be made from three numbers.

A mini investigation for superbrains. How many ways can you make 100, just using the numbers and signs shown?

Can you find 10 different ways of making 12 with 3 cards? (One card is zero, which makes it trickier!)

Number challenges

A variety of number problems and challenges

Making 2-digit numbers.

Using only the numbers 3 and 2 and the + and - signs, can all the numbers up to 20 be made?

A colourful set of number problems involving beads.

Colourful pages on solving number problems involving buttons.

Roll two dice and add the totals. Record and sort the results. What do you notice?

How many different ways can you score a total with two dice?

Using grids to reason about place value of numbers.

Use three dice to see how many different ways a score of 12 can be made.

Solve number problems with dice (1)

More number problems with dice.

Find as many ways as possible to complete the number sentence.

Make and order 2-digit numbers from a selection of number cards.

Number sentences with missing digits using addition, subtraction, multiplication and division.

Recognising that subtraction is the inverse of addition and the relationship between multiplication and division.

All the signs are missing. Find the correct signs to complete the number sentences.

Put the addition or subtraction signs in to make the number sentences correct. Hard, as there is more than one sign!

Problem solving: finding the right sign.

How many patterned tiles are there altogether?

Find how many tiles there are in the pattern.

Further challenges and investigations

More great investigations and challenges for children in Year 2.

Place the toys on the correct shelves.

Use the balance scales to work out which shelves the items go on.

These pages are all to do with sequencing.

Finding the lengths of pencils in a line.

Finding more than the given numbers.

Monsters and legs problems.

Writing addition statements as multiplication.

Put the numbers in the boxes so that the total of the row across adds up to the same as the total of the column down. Several ways to do this, leading to further investigations.

How long will it take to complete a page of addition, subtraction, multiplication and division questions?

Find a route through the maze from IN to OUT adding the numbers as you go.

Dominoes are a great resource for sorting. Try these ideas to begin with.

Roll two dice and add the totals. Record and sort results.

Sam's got a great aim but how many can he score with four beanbags?

What possible scores could I get with four darts?

Harder four dart totals.

Word problems

Use knowledge of maths to solve problems written in words.

Some tricky word problems to solve.

A great selection of one and two-step word problems.

More tricky one-step and two-step word problems.

Addition and subtraction related to the six digits shown.

A selection of mathematical games for one or more players.

An easy version of the game of Nim. Great for logical thinking and you can always win (if you know what you are doing!)

The very simplest forms of magic squares and some ideas on how to turn them into colour patterns.

How many counters can you place on the grid without getting 3 in a row?

Fill in the puzzle so that every row, column and diagonal contains the numbers 1 to 4.

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Category: Practice Questions

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Combined Mean Practice Questions

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Cost per Metre Practice Questions

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Profit Practice Questions

Money (Paying) Practice Questions

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Money – Midpoint Practice Questions

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Greatest Number (Money) Practice Questions

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Mode from a table practice questions, multipliers practice questions, range from a frequency table practice questions, cost per litre video.

Cost per Litre Practice Questions

Turning Points using Completing the Square Practice Questions

Mean from a Frequency Table Practice Questions

Population Density Practice Questions

Odd and Even Numbers Practice Questions

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Reasoning and Problem Solving Questions Collection - KS1 and KS2

Subject: Mathematics

Age range: 5-7

Resource type: Worksheet/Activity

Last updated

10 March 2023

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These booklets each contain over 40 reasoning and problem solving questions suitable for KS1, KS2 and KS3 classes. These are the questions that we have been putting out each day in March 2016 on Twitter in the run up to SATS.

The answers are provided with some simple notes at the back of the booklet and for some problems supplementary questions and variation has been provided.

As always we welcome any feedback on the work we are doing and the materials that we are releasing. Thank you for taking an interest in our work. The White Rose Maths Hub Team

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We are pleased to let you know that your resource Reasoning and Problem Solving Questions Collection - KS1 and KS2, has been hand-picked by the Tes resources content team to be featured in https://www.tes.com/teaching-resources/blog/fluency-reasoning-and-problem-solving-primary-maths in April 2024 on https://www.tes.com/teaching-resources/blog. Congratulations on your resource being chosen and thank you for your ongoing contributions to the Tes Resources marketplace.

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graceamfo18

A very good and engaging way to teach mastery of maths. Thank you for sharing

thank you for sharing, this is really good

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Daily Maths Word Problems - Year 2 (Worksheets)

Updated:  18 Aug 2020

A set of 20 problem-solving questions suited to Year 2 students.

Non-Editable:  PDF

Pages:  1 Page

• Curriculum Curriculum:  NC

Years:  1 - 2

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This set of  problem-solving  questions has been designed to support teachers when teaching students about problem-solving in mathematics . It provides students with the opportunity to work through 20 maths word problems.

An answer sheet has been included.

Use this resource in conjunction with the Daily Maths Problems PowerPoint : 

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Error in the wording of Question 3 corrected.

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