ks1 problem solving worksheets

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Math Problem Worksheets Word Problems Hub Page

Welcome to the Math Salamanders' Math Problem Worksheets.

Here you will find a range of different math problem sheets to help you learn to apply your math facts to solve a range of problems.

There are a range of different word problems and fun math challenges for each grade.

We also have a selection of word problems sorted by math area including fractions and ratio.

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

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• Math Problems by Grade
• Math Problems by Topic

Math Problem Worksheets

Want to apply your math fact knowledge?

Looking for some fun math problems to solve?

Want to use your knowledge to solve some 'real life' problems.

Look no further! The pages you need are below!

Here is our selection of different Math problem worksheets.

Included in this page are a range of math problem pages from 1st grade to 5th grade. There are also fraction problems, ratio problems as well as addition, subtraction, multiplication and division problems.

Many of the problem sheets use 'real life' data, so your child can learn some interesting facts while they are solving problems, and also hopefully see the point of all the math facts they have learnt at the same time.

Each problem solving sheet comes with a separate answer sheet.

Math Problems By Grade

• 1st Grade Problems
• 2nd Grade Problems
• 3rd Grade Problems
• 4th Grade Problems
• 5th Grade Problems
• 6th Grade Problems
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First Grade Math Word Problems

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

Using these sheets will help your child to:

• Add and subtract with numbers to 12;
• order numbers to 100;
• solve a range of math problems.

All the math problem sheets in this section support Elementary math benchmarks.

• Math Problems for Children 1st Grade

Longer Math Problems

• First Grade Math Problems
• 1st grade Addition Word Problems
• 1st Grade Subtraction Word Problems
• 1st Grade Addition and Subtraction Problems

Second Grade Math Word Problems

Here are a range of problems solving sheets for 2nd graders. Most of the sheets contain 'real-life' problems related to animal facts.

Using the sheets will help your child to:

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

All the 2nd grade math problem worksheets in this section support Elementary math benchmarks.

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

• Second Grade Math Problems

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

• 2nd Grade Math Word Problems
• Addition Word Problems 2nd grade

These sheets involve solving a range of multiplciation problems.

• Multiplication Word Problems 2nd Grade

These sheets involve solving a range of division problems.

Using this link will open our 2nd Grade Math Salamanders website in a new browser window.

• 2nd Grade Division Worksheets

3rd Grade Math Word Problems

Here are a range of problems solving sheets for 3rd graders. Most of the sheets contain 'real-life' problems which involve real data.

• develop their knowledge of fractions;

All the 3rd grade sheets in this section support Elementary math benchmarks.

• 3rd Grade Math Problems
• Math Word Problems for kids 3rd Grade

These sheets involve solving 3-digit and 4-digit addition word problems.

• Addition Word Problems 3rd Grade (3- and 4-digits)

These sheets involve solving 3-digit and 4-digit subtraction problems.

• Subtraction Word Problems 3rd Grade
• 3rd Grade Addition and Subtraction Word Problems (3- and 4-digits)
• Multiplication Word Problem Worksheets 3rd Grade
• Division Worksheets Grade 3 Word Problems
• 4th Grade Math Problems

Here is our set of 4th grade math problems to help your child with their problem solving skills.

Each problem sheet comes complete with answers, and is available in both standard and metric units where applicable.

Many of the problems are based around 'real-life' problems and data such as the world's heaviest animals.

• apply their addition, subtraction and problem solving skills;
• solve a range of 'real life' problems;
• attempt more challenging longer problems.

Using the problems in this section will help your child develop their problem solving and reasoning skills.

• 4th Grade Math Word Problems
• Multiplication Word Problems 4th Grade
• Division Worksheets Grade 4 Word Problems
• 5th Grade Math Problems
• 5th Grade Math Word Problems

These sheets involve solving a range of ratio problems.

6th Grade Math Problems

• 6th Grade Percent Word Problems
• Unit Rate Problems 6th Grade
• Writing Inequalities from Word Problems

Math Problems By Topic

Addition problems, subtraction problems, multiplication problems, division problems.

• Inequalities Problems

Fraction Problems

Percentage problems, ratio problems, finding all possibilities problems.

Here you will find a range of addtion word problems to help your child apply their addition facts.

The worksheets cover addition problems from 1st to 3rd grade.

• Addition Word Problems 2nd grade (up to 100)

Here you will find a range of subtraction word problems to help your child apply their subtraction facts.

The worksheets cover subtraction problems from 1st to 3rd grade.

These sheets involve solving a range of subtraction word problems up to 100.

• Subtraction Word Problems 2nd grade

Addition & Subtraction Problems

Here you will find a range of addition and subtraction word problems to help your child apply their knowledge.

• 2nd Grade Addition and Subtraction Word Problems

Here you will find a range of multiplication word problems to help your child apply their multiplication facts.

The worksheets cover multiplication problems from 2nd to 5th grade.

• Multiplication Word Problems 5th Grade

Here you will find a range of division word problems to help your child apply their division facts.

The worksheets cover division problems from 3rd to 5th grade.

Inequalities Word Problems

These sheets involve changing a word problem into an inequality.

Here you will find a range of fraction word problems to help your child apply their fraction learning.

The worksheets cover a range of fraction objectives, from adding and subtracting fractions to working out fractions of numbers. The sheets support fraction learning from 2nd grade to 5th grade.

• Fraction Riddles for kids (easier)
• Free Printable Fraction Riddles (harder)
• Percentage Word Problems 5th Grade

Here you will find a range of ratio word problems to help your child understand what a ratio is and how ratios work.

The sheets support ratio learning at a 5th grade level.

This is our finding all possibilities area where all the worksheets involve finding many different answers to the problem posed.

The sheets here encourage systematic working and logical thinking.

The problems are different in that, there is typically only one problem per sheet, but the problem may take quite a while to solve!

• Finding all Possibilities problems
• Math Logic Problems

This is our logic problems area where all the worksheets involve using reasoning and logical thinking skills.

The sheets here are designed to get children thinking logically and puzzling the problems out.

There are a range of different logic problems from 1st through 5th grade!

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

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KS1 Resources & Worksheets > KS1 Mathematics Resources & Worksheets >

Resources and Worksheets

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Add Three 1-Digit Numbers

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

Year 6 Place Value Consolidation Lesson

This Year 6 Place Value Consolidation lesson revisits the main teaching points from our Place Value block.

KS1 Christmas Symbol Sudoku

KS1 Christmas Symbol Sudoku Activity designed with fun Christmas symbols for pupils to complete during the festive period.

Geometry Shape Consolidation Year 1 Autumn Block 3 Reasoning and Problem Solving

This resource is aimed at Year 1 Expected and has been designed to give children the opportunity to consolidate the skills they have learned in Autumn Block 3 – Geometry: Shape.

Place Value to 50 Consolidation Year 1 Spring Block 2 Reasoning and Problem Solving

These Place Value worksheets are fantastic at helping your pupils practice their reasoning and problem solving skills. This pack contains two different question types for Year 1 Spring block 2

Length and Height Consolidation Year 1 Spring Block 3 Reasoning and Problem Solving

These Length and Height worksheets are fantastic at helping your pupils practice their reasoning and problem solving skills. This pack contains two different question types for Year 1 Spring block 3.

Addition and Subtraction Consolidation Year 2 Autumn Block 2 Reasoning and Problem Solving

This resource is aimed at Year 2 Expected and has been designed to give children the opportunity to consolidate the skills they have learned in Autumn Block 2 – Addition and Subtraction.

Weight and Volume Consolidation Year 1 Spring Block 4 Reasoning and Problem Solving

These Weight and Volume worksheets are fantastic at helping your pupils practice their reasoning and problem solving skills. This pack contains two different question types for Year 1 Spring block 4.

Multiplication and Division Consolidation Year 1 Summer Block 1 Reasoning and Problem Solving

This Multiplication and Division Consolidation Year 1 resource will help your pupils consolidate their understanding of Summer Block 1: Multiplication and Division. This resource is themed around preparing for a party for the good fairy.

Measurement Money Consolidation Year 2 Autumn Block 3 Reasoning and Problem Solving

This resource is aimed at Year 2 Expected and has been designed to give children the opportunity to consolidate the skills they have learned in Autumn Block 3 – Measurement: Money.

Fractions Consolidation Year 1 Summer Block 2 Reasoning and Problem Solving

This Fractions Consolidation Year 1 resource will help your pupils consolidate their understanding of Summer Block 1: Fractions. It has been designed with a level of questions for Age Related Expectations for Year 1. This resource is themed around preparing for a Monster Pizza Party.

Statistics Consolidation Year 2 Spring Block 2 Reasoning and Problem Solving

These Statistics worksheets are fantastic at helping your pupils practice their reasoning and problem solving skills. This pack contains two different question types for Year 2 Spring Block 2.

Fractions Consolidation Year 2 Spring Block 4 Reasoning and Problem Solving

These Fractions worksheets are fantastic at helping your pupils practice their reasoning and problem solving skills. This pack contains two different question types for Year 2 Spring Block 4.

Make Equal Parts Year 2 Fractions Free Resource Pack

Step 1: These Make Equal Parts Year 2 worksheets are fantastic at helping your pupils practice their reasoning and problem solving skills. This pack contains two different question types for Year 2 Spring Block 4.

Recognise Equal Groups Year 2 Multiplication and Division Free Resource Pack

Step 1: This Recognise Equal Groups Year 2 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Autumn Block 4, Year 2: Multiplication and Division.

Free Year 1 Compare Lengths and Heights – Length and Height Discussion Problems

Step 1: Year 1 Compare Lengths and Heights Free Discussion Problems includes two discussion problems which can be used in pairs or small groups to further pupils' understanding.

Place Value Year 1 Numbers to 50 Free Discussion Problems

Step 1: Year 1 Numbers to 50 Free Discussion Problems includes two discussion problems which can be used in pairs or small groups to further pupils' understanding.

Properties of Shape Year 2 Recognise 2D and 3D Shapes Free Discussion Problems

Step 1: Year 2 Recognise 2D and 3D Shapes Free Discussion Problems includes two discussion problems which can be used in pairs or small groups to further pupils' understanding

Multiplication and Division Year 2 Make Equal Groups – Sharing Free Discussion Problems

Step 1: Year 2 Make Equal Groups - Sharing Free Discussion Problems includes two discussion problems which can be used in pairs or small groups to further pupils' understanding

Free Year 2 Recognise 2D and 3D Shapes Homework Extension Properties of Shape

Step 1: Free Recognise 2D and 3D Shapes Homework extension provides additional questions which can be used as homework or an in-class extension for the Year 2 Free Recognise 2D and 3D Shapes Resource Pack and are differentiated three ways.

Shape Year 1 3D Shapes Free Discussion Problems

Step 1: Year 1 3D Shapes Free Discussion Problems includes two discussion problems which can be used in pairs or small groups to further pupils' understanding.

Place Value Year 1 Add by Counting On Free Discussion Problems

Step 1: Year 1 Add by Counting on Free Discussion Problems includes two discussion problems which can be used in pairs or small groups to further pupils' understanding.

Free Make Equal Groups – Sharing Homework Extension Year 2 Multiplication and Division

Step 1: Free Make Equal Groups - Sharing Homework extension provides additional questions which can be used as homework or an in-class extension for the Year 2 Free Make Equal Groups - Sharing Resource Pack and are differentiated three ways.

Multiplication and Division Year 2 Recognise Equal Groups Free Discussion Problems

Step 1: Year 2 Recognise Equal Groups Free Discussion Problems includes two discussion problems which can be used in pairs or small groups to further pupils' understanding.

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Problem solving (Part 1)

Switch to our new maths teaching resources.

Slide decks, worksheets, quizzes and lesson planning guidance designed for your classroom.

Lesson details

Key learning points.

• In this lesson, we will learn how to use different strategies to solve questions involving money.

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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Problem solving

Resources to teach problem solving skills

This collection of teaching resources aims to help children develop maths problem solving skills. It features word problems, maths challenges, problem-solving questions and a variety of worksheets and problem solving activities to help your primary school learners develop the problem solving strategies for real life contexts.

Why teach problem solving skills?

Problem solving is a skill that involves a variety of mathematical skills that will help children in real life. From addition and subtraction to fractions, decimals and percentages, we need problem-solving strategies to solve day-to-day problems involving time, money and measurement. Problem solving is an integral strand of the KS2 maths curriculum and children will be tested on their problem-solving skills in their SATs and onwards.

Have you seen our teaching packs for problem solving in maths?

If you’re teaching upper key stage 2, you may like our problem-solving teaching packs: Problem solving - number and Problem solving – measurement, geometry and statistics . Both packs comprise scaffolded word problems and differentiated activities based upon the relevant problem-solving objectives in the national curriculum. Or you may prefer Challenging maths , packed with maths mastery style questions, word problems and games to enrich your maths lessons and turn your year 5/6 class into true problem solvers!

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Maths - Key Stage 1 (5-7 year olds)

Problem solving.

Bead Numbers - Place Value

Bead Numbers is a place value investigation involving a tens and ones abacus. The game provides a good context for encouraging learners to think systematically.

Shape Patterns

Shape Patterns is a sequencing game where children from 3 to 8 years of age need to complete the pattern of different coloured 2D shapes. Three levels of difficulty.

• Key Stage 1
• Key Stage 2
• Key Stage 3

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
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Patterns and Sequences KS1

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

Chairs and Tables

Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

Next Domino

Which comes next in each pattern of dominoes?

A City of Towers

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

Domino Patterns

What patterns can you make with a set of dominoes?

Repeating Patterns

Try continuing these patterns made from triangles. Can you create your own repeating pattern?

Cube Bricks and Daisy Chains

Daisy and Akram were making number patterns. Daisy was using beads that looked like flowers and Akram was using cube bricks. First they were counting in twos.

Poly Plug Pattern

Create a pattern on the small grid. How could you extend your pattern on the larger grid?

Caterpillars

These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

Missing Middles

Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?

Three Ball Line Up

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

Street Sequences

Investigate what happens when you add house numbers along a street in different ways.

Circles, Circles

Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

Break it Up!

In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

Counting Stick Conjectures

How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?

Triple Cubes

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

School Fair Necklaces

How many possible symmetrical necklaces can you find? How do you know you've found them all?

Hundred Square

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

Home → Maths   → Year Groups  → KS1

You made it through the first year and now it’s time for Key Stage 1! Maths anxiety can increase as children get older but it doesn’t have to. As parents, we can help our child succeed in KS1 maths by learning what to expect. Explore KS1 maths topics below, including tips for KS1 maths SATs, and have a go at some practice questions!

Select a KS1 maths topic

Explore the maths topics covered in KS1 maths and have a go at some fun, interactive practice questions!

Number and place value

Learn how to count, read and write numbers up to 100

Find out more

Addition and subtraction

Explore strategies for mental and written problem solving

Addition or Subtraction

Multiplication and division

Discover key multiplication and division facts & strategies

Multiplication or Division

Find out about data and how to read bar charts and graphs

Measurement

Explore time, volume and length and quantities

Learn how to identify 2D and 3D shapes

Position and direction

Discover how to arrange objects into patterns

Fractions, decimals and percentages

Learn what a fraction is and how to order them

Fractions or Decimals

Discover key multiplication and division facts

Looking for a different year group?

What do children learn in KS1 maths?

In Key Stage 1 maths curriculum , kids explore a wide breath of content to help develop their knowledge of core concepts and gain an understanding of how maths is used in everyday life. From fractions to shapes, they learn lots of key skills that’ll place them in great stead for KS2! The main topics they learn about are…    

1. Number and place value: In the KS1 maths curriculum, children learn to count, read, write and represent numbers up to 100. They also learn how to compare numbers and use the place value system.  

2. Addition and subtraction: Children learn various strategies for mental and written addition and subtraction. They also explore number bonds, counting techniques and inverse operations.  

3. Multiplication and division: Kids develop their understanding of multiplication and division and learn how to solve problems using multiplication and division facts, arrays and pictorial representations.  

4. Fractions : Learners discover how to recognise, name, find and write fractions in relation to length, shapes and quantity.

  5. Measurement: In KS1 maths, children learn how to use appropriate units, estimate measurements and read scales, including length, capacity and time.  

6. Properties of shapes: Learners explore the fundamentals of shapes, including how to recognise and name different types of 2D and 3D shapes.  

7. Position and direction: Children  learn how to describe position, direction and movement, as well as how to organise objects into patterns and sequences. 

8. Statistics: In the KS1 curriculum, kids explore how to collect and organise data. They also learn how to create graphs and interpret data using a variety of graphs.

Get ready for KS1 maths SATs

In Year 2, children complete maths and English SATs papers. Explore what’s covered in the exams and how you can help your child or pupils prepare for them!

KS1 SATs papers 2024: what's included?

See what’s covered in KS1 SATs and how you can help your child prepare for them

How Doodle can help kids prepare for SATs

Our apps cover the whole KS1 curriculum, making them perfect study buddies

Getting prepared for KS1 maths SATs papers

KS1 maths SATs may seem worrying, but these tips will help you feel prepared!

KS1 SATs papers: what's included?

See what’s covered in KS1 SATs and how you can help your child prepare for them

Our apps cover the whole KS1 curriculum, making them the ultimate study buddies

KS1 maths FAQs

DoodleMaths  is an award-winning app that's filled with fantastic maths games for KS1!

From working in a messy bakery to helping a monkey collect coconuts, all of its games are specifically designed to develop instant recall and mental maths skills, transforming learning into a fun adventure.

Best of all, all of its questions feel like a game, with every exercise using interactive activities and explanations to help bring the subject to life!

Create an account today to enjoy a  free 7-day trial .

There are lots of ways that you can help your child or pupils to learn KS1 maths:

• Rather than explaining concepts, use visual representations to explore them, such as number lines and grids.
• Nothing beats doodling! Encourage your child or pupils to draw pictures to help them understand concepts or have a go at working out the answer to a question.
• Use real-life items to explore number, such as Smarties or pebbles. Encourage your child to sort the items into different amounts; doing this will help them understand concepts such as addition and fractions!
• Boosting their instant recall skills will help them with their mental maths and speed answering questions. Learning times tables in a specific order and using fun activities is a great way to help with this!

An array is an arrangement of items (such as pictures or numbers) in columns or rows.

They let children visualise what happens when they multiply or divide numbers together, helping them master times tables and division!

Reasoning is basically detective work: it's when learners use what they already know to work out the answer to a question.

For example, if a child knows what 12 - 5 is, they can use this knowledge to work out what 12 - 6 is.

"I know that 12 - 5 is 7. As 6 is 1 higher than 5, the answer must be 1 higher than 7."

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

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Addition and Subtraction Word Problems- Year 1- DIFFERENTIATED

Subject: Mathematics

Age range: 5-7

Resource type: Worksheet/Activity

Last updated

22 February 2018

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