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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.

How to Print or Save these sheets 🖶

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

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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Math Workbooks for Grade 2

Download & Print Only $2.50

2nd Grade Math Word Problems Worksheets

Math word problem worksheets for grade 2.

These word problem worksheets place 2nd grade math concepts in contexts that grade 2 students can relate to.  We provide math word problems for addition, subtraction, multiplication, time, money and fractions.

We encourage students to read and think about the problems carefully, and not just recognize an answer pattern.  We facilitate this by:

  • providing a number of mixed word problem worksheets (e.g. subtraction questions mixed in with addition questions)
  • sometimes including irrelevant data within word problems so students must understand the context before applying a solution

Addition word problems for grade 2

Simple addition (1-2 digits)

Slightly harder addition (1-3 digits)

Subtraction word problems for grade 2

Simple subtraction (1 and 2 digit numbers)

Subtracting 1-3 digit numbers

Mixed addition and subtraction word problems

Mixed addition and subtraction within 20

Mixed addition and subtraction (two digits)

More mixed addition and subtraction word problems

Multiplication word problems

Multiplication within 25

Measurement word problems

Length word problems

Time word problems

Time and elapsed time (1/2 hour intervals)

Time and elapsed time (5 minute intervals)

Money word problems

Counting money (coins and bills)

Fraction word problems

Understanding fractions

Write and compare fractions from a story

Mixed word problems

Mix of all above types of grade 2 word problems

Mix of just addition / subtraction / multiplication word problems  

math problem solving questions year 2

Sample Grade 2 Word Problem Worksheet

More word problem worksheets

Explore all of our math word problem worksheets , from kindergarten through grade 5.

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math problem solving questions year 2

45 year 2 maths questions

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

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Author Michelle Griczika

math problem solving questions year 2

Published February 2024

math problem solving questions year 2

  • 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.

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math problem solving questions year 2

Time answer sheet

math problem solving questions year 2

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math problem solving questions year 2

Lesson credits

math problem solving questions year 2

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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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 addition and subtraction 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

Third Space Learning online intervention lesson slide for year 2 fractions

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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Since 2013 these personalised one to one lessons have helped over 150,000 primary and secondary students become more confident, able mathematicians.

Learn how tutors develop pupils’ maths fluency or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

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FREE Fluent in Five Weeks 1 to 6 (Years 1 to 6)

Easy to implement daily arithmetic questions to build number fluency and confidence in 5 minutes a day.

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math problem solving questions year 2

Visual maths worksheets, each maths worksheet is differentiated and visual.

Year 2 Maths Worksheets

Our Year 2 Maths Worksheets are an excellent resource for helping pupils (aged 6-7) develop their foundational maths skills. With the Cazoom Maths Worksheets , children in year two can strengthen their knowledge of critical concepts such as addition, subtraction, measurements, shapes and more. These worksheets cover various topics, from counting to introductory algebra and geometry, providing exercises that improve problem-solving and critical thinking skills. Moreover, they offer the opportunity to focus on different aspects of mathematics, including times tables practice and mastery of various equations. Regular use of these year 2 maths PDF worksheets can contribute significantly towards a student’s academic success by encouraging active participation in the learning process. Our maths worksheets are used by over 50,000 teachers, parents and schools worldwide!

MATHS WORKSHEETS FOR YEAR 2 STUDENTS

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Try some free sample year 2 maths worksheets

Year 2 Addition Maths Worksheet

Outstanding Year 2 Maths Worksheets

  • Separate answers are included to make marking easy and quick.
  • Over 300 pages of the highest quality year 2 maths worksheets. Each worksheet is differentiated, including a progressive level of difficulty as the worksheet continues.
  • Single user licence for parents or teachers. Separate school licences are also available.
  • Single digital pdf download, with worksheets organised into high level chapters of Number, Measurement and Geometry, and further by subtopics. See below for the extensive range of sheets included.

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List of Topics

Our Year 2 PDF maths worksheets cover the full range of topics. See below the list of topics covered. All KS1 and KS2 worksheets can be accessed here.

  • Adding to a Single Digit
  • Adding to a Two Digit Number
  • Adding to a Three Digit Number
  • Adding Three Numbers
  • Number Bonds up to 20
  • Number Bonds over 20

SUBTRACTION

  • Single Digit Subtraction
  • Two Digit Subtraction
  • Three Digit Subtraction
  • Working with the Difference
  • Multiplication and Division worksheets
  • Number and Place Value Worksheets
  • Fractions, Decimals and Percentages

MEASUREMENT

  • Metric Measures
  • Area and Perimeter
  • Properties of Shapes
  • Position and Direction
  • Transformations

ALGEBRA & STATISTICS

Year 2 Maths Worksheets (age 6-7)

Hundreds of maths worksheets for children ages 6 and 7, covering counting, number, shape, time and much more. We also have a great selection of challenges and problem solving activities.

Each category has many resources within so why not jump in and explore the site?

Popular Resources

Have a look at some of our popular resources in this category.

Preview of worksheet Halves, quarters and three quarters

Work out halves, quarters and three quarters of shapes and numbers.

Preview of worksheet Find a third

Find a third of small amounts.

Preview of worksheet Fractions: one half and one quarter (3)

More finding halves and quarters of sets of objects.

Preview of worksheet  Counting in halves and quarters

A different kind of number line: counting in quarters and halves.

Preview of worksheet Year 2 Assessment Paper

An assessment paper for children at the end of Year 2 (6-7 years old).Please note these are not intended to be used as a set of written questions where the child answers on paper in silence. The questions could be presented over a period of several days and can be read out loud. Encouraging discussion of the questions will give a much greater insight into the child's understanding.

Preview of worksheet Find half and quarter of small numbers

Finding halves and quarters of small numbers.

Preview of worksheet Add 3 small numbers (1)

Use the number line to add three small numbers.

Preview of worksheet Double and halve

Doubling and halving numbers up to 20.

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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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Free Math Worksheets — Over 100k free practice problems on Khan Academy

Looking for free math worksheets.

You’ve found something even better!

That’s because Khan Academy has over 100,000 free practice questions. And they’re even better than traditional math worksheets – more instantaneous, more interactive, and more fun!

Just choose your grade level or topic to get access to 100% free practice questions:

Kindergarten, basic geometry, pre-algebra, algebra basics, high school geometry.

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High school statistics, ap®︎/college statistics, precalculus, differential calculus, integral calculus, ap®︎/college calculus ab, ap®︎/college calculus bc, multivariable calculus, differential equations, linear algebra.

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Frequently Asked Questions about Khan Academy and Math Worksheets

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Find help from our team of math teachers who are here to help struggling students with their math skills. Find on-demand videos for every second-grade skill to teach students how to best tackle math problems. Teachers break down the concepts in an easily understandable format for younger students who need help with their math skills.

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120 Math Word Problems To Challenge Students Grades 1 to 8

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Written by Marcus Guido

Hey teachers! 👋

Use Prodigy to spark a love for math in your students – including when solving word problems!

  • Teaching Tools
  • Subtraction
  • Multiplication
  • Mixed operations
  • Ordering and number sense
  • Comparing and sequencing
  • Physical measurement
  • Ratios and percentages
  • Probability and data relationships

You sit at your desk, ready to put a math quiz, test or activity together. The questions flow onto the document until you hit a section for word problems.

A jolt of creativity would help. But it doesn’t come.

Whether you’re a 3rd grade teacher or an 8th grade teacher preparing students for high school, translating math concepts into real world examples can certainly be a challenge.

This resource is your jolt of creativity. It provides examples and templates of math word problems for 1st to 8th grade classes.

There are 120 examples in total.

The list of examples is supplemented by tips to create engaging and challenging math word problems.

120 Math word problems, categorized by skill

Addition word problems.

A teacher is teaching three students with a whiteboard happily.

Best for: 1st grade, 2nd grade

1. Adding to 10: Ariel was playing basketball. 1 of her shots went in the hoop. 2 of her shots did not go in the hoop. How many shots were there in total?

2. Adding to 20: Adrianna has 10 pieces of gum to share with her friends. There wasn’t enough gum for all her friends, so she went to the store to get 3 more pieces of gum. How many pieces of gum does Adrianna have now?

3. Adding to 100: Adrianna has 10 pieces of gum to share with her friends. There wasn’t enough gum for all her friends, so she went to the store and got 70 pieces of strawberry gum and 10 pieces of bubble gum. How many pieces of gum does Adrianna have now?

4. Adding Slightly over 100: The restaurant has 175 normal chairs and 20 chairs for babies. How many chairs does the restaurant have in total?

5. Adding to 1,000: How many cookies did you sell if you sold 320 chocolate cookies and 270 vanilla cookies?

6. Adding to and over 10,000: The hobby store normally sells 10,576 trading cards per month. In June, the hobby store sold 15,498 more trading cards than normal. In total, how many trading cards did the hobby store sell in June?

7. Adding 3 Numbers: Billy had 2 books at home. He went to the library to take out 2 more books. He then bought 1 book. How many books does Billy have now?

8. Adding 3 Numbers to and over 100: Ashley bought a big bag of candy. The bag had 102 blue candies, 100 red candies and 94 green candies. How many candies were there in total?

Subtraction word problems

Best for: 1st grade, second grade

9. Subtracting to 10: There were 3 pizzas in total at the pizza shop. A customer bought 1 pizza. How many pizzas are left?

10. Subtracting to 20: Your friend said she had 11 stickers. When you helped her clean her desk, she only had a total of 10 stickers. How many stickers are missing?

11. Subtracting to 100: Adrianna has 100 pieces of gum to share with her friends. When she went to the park, she shared 10 pieces of strawberry gum. When she left the park, Adrianna shared another 10 pieces of bubble gum. How many pieces of gum does Adrianna have now?

Five middle school students sitting at a row of desks playing Prodigy Math on tablets.

Practice math word problems with Prodigy Math

Join millions of teachers using Prodigy to make learning fun and differentiate instruction as they answer in-game questions, including math word problems from 1st to 8th grade!

12. Subtracting Slightly over 100: Your team scored a total of 123 points. 67 points were scored in the first half. How many were scored in the second half?

13. Subtracting to 1,000: Nathan has a big ant farm. He decided to sell some of his ants. He started with 965 ants. He sold 213. How many ants does he have now?

14. Subtracting to and over 10,000: The hobby store normally sells 10,576 trading cards per month. In July, the hobby store sold a total of 20,777 trading cards. How many more trading cards did the hobby store sell in July compared with a normal month?

15. Subtracting 3 Numbers: Charlene had a pack of 35 pencil crayons. She gave 6 to her friend Theresa. She gave 3 to her friend Mandy. How many pencil crayons does Charlene have left?

16. Subtracting 3 Numbers to and over 100: Ashley bought a big bag of candy to share with her friends. In total, there were 296 candies. She gave 105 candies to Marissa. She also gave 86 candies to Kayla. How many candies were left?

Multiplication word problems

A hand holding a pen is doing calculation on a pice of papper

Best for: 2nd grade, 3rd grade

17. Multiplying 1-Digit Integers: Adrianna needs to cut a pan of brownies into pieces. She cuts 6 even columns and 3 even rows into the pan. How many brownies does she have?

18. Multiplying 2-Digit Integers: A movie theatre has 25 rows of seats with 20 seats in each row. How many seats are there in total?

19. Multiplying Integers Ending with 0: A clothing company has 4 different kinds of sweatshirts. Each year, the company makes 60,000 of each kind of sweatshirt. How many sweatshirts does the company make each year?

20. Multiplying 3 Integers: A bricklayer stacks bricks in 2 rows, with 10 bricks in each row. On top of each row, there is a stack of 6 bricks. How many bricks are there in total?

21. Multiplying 4 Integers: Cayley earns $5 an hour by delivering newspapers. She delivers newspapers 3 days each week, for 4 hours at a time. After delivering newspapers for 8 weeks, how much money will Cayley earn?

Division word problems

Best for: 3rd grade, 4th grade, 5th grade

22. Dividing 1-Digit Integers: If you have 4 pieces of candy split evenly into 2 bags, how many pieces of candy are in each bag?

23. Dividing 2-Digit Integers: If you have 80 tickets for the fair and each ride costs 5 tickets, how many rides can you go on?

24. Dividing Numbers Ending with 0: The school has $20,000 to buy new computer equipment. If each piece of equipment costs $50, how many pieces can the school buy in total?

25. Dividing 3 Integers: Melissa buys 2 packs of tennis balls for $12 in total. All together, there are 6 tennis balls. How much does 1 pack of tennis balls cost? How much does 1 tennis ball cost?

26. Interpreting Remainders: An Italian restaurant receives a shipment of 86 veal cutlets. If it takes 3 cutlets to make a dish, how many cutlets will the restaurant have left over after making as many dishes as possible?

Mixed operations word problems

A female teacher is instructing student math on a blackboard

27. Mixing Addition and Subtraction: There are 235 books in a library. On Monday, 123 books are taken out. On Tuesday, 56 books are brought back. How many books are there now?

28. Mixing Multiplication and Division: There is a group of 10 people who are ordering pizza. If each person gets 2 slices and each pizza has 4 slices, how many pizzas should they order?

29. Mixing Multiplication, Addition and Subtraction: Lana has 2 bags with 2 marbles in each bag. Markus has 2 bags with 3 marbles in each bag. How many more marbles does Markus have?

30. Mixing Division, Addition and Subtraction: Lana has 3 bags with the same amount of marbles in them, totaling 12 marbles. Markus has 3 bags with the same amount of marbles in them, totaling 18 marbles. How many more marbles does Markus have in each bag?

Ordering and number sense word problems

31. Counting to Preview Multiplication: There are 2 chalkboards in your classroom. If each chalkboard needs 2 pieces of chalk, how many pieces do you need in total?

32. Counting to Preview Division: There are 3 chalkboards in your classroom. Each chalkboard has 2 pieces of chalk. This means there are 6 pieces of chalk in total. If you take 1 piece of chalk away from each chalkboard, how many will there be in total?

33. Composing Numbers: What number is 6 tens and 10 ones?

34. Guessing Numbers: I have a 7 in the tens place. I have an even number in the ones place. I am lower than 74. What number am I?

35. Finding the Order: In the hockey game, Mitchell scored more points than William but fewer points than Auston. Who scored the most points? Who scored the fewest points?

Fractions word problems

A student is drawing on a notebook, holding a pencil.

Best for: 3rd grade, 4th grade, 5th grade, 6th grade

36. Finding Fractions of a Group: Julia went to 10 houses on her street for Halloween. 5 of the houses gave her a chocolate bar. What fraction of houses on Julia’s street gave her a chocolate bar?

37. Finding Unit Fractions: Heather is painting a portrait of her best friend, Lisa. To make it easier, she divides the portrait into 6 equal parts. What fraction represents each part of the portrait?

38. Adding Fractions with Like Denominators: Noah walks ⅓ of a kilometre to school each day. He also walks ⅓ of a kilometre to get home after school. How many kilometres does he walk in total?

39. Subtracting Fractions with Like Denominators: Last week, Whitney counted the number of juice boxes she had for school lunches. She had ⅗ of a case. This week, it’s down to ⅕ of a case. How much of the case did Whitney drink?

40. Adding Whole Numbers and Fractions with Like Denominators: At lunchtime, an ice cream parlor served 6 ¼ scoops of chocolate ice cream, 5 ¾ scoops of vanilla and 2 ¾ scoops of strawberry. How many scoops of ice cream did the parlor serve in total?

41. Subtracting Whole Numbers and Fractions with Like Denominators: For a party, Jaime had 5 ⅓ bottles of cola for her friends to drink. She drank ⅓ of a bottle herself. Her friends drank 3 ⅓. How many bottles of cola does Jaime have left?

42. Adding Fractions with Unlike Denominators: Kevin completed ½ of an assignment at school. When he was home that evening, he completed ⅚ of another assignment. How many assignments did Kevin complete?

43. Subtracting Fractions with Unlike Denominators: Packing school lunches for her kids, Patty used ⅞ of a package of ham. She also used ½ of a package of turkey. How much more ham than turkey did Patty use?

44. Multiplying Fractions: During gym class on Wednesday, the students ran for ¼ of a kilometre. On Thursday, they ran ½ as many kilometres as on Wednesday. How many kilometres did the students run on Thursday? Write your answer as a fraction.

45. Dividing Fractions: A clothing manufacturer uses ⅕ of a bottle of colour dye to make one pair of pants. The manufacturer used ⅘ of a bottle yesterday. How many pairs of pants did the manufacturer make?

46. Multiplying Fractions with Whole Numbers: Mark drank ⅚ of a carton of milk this week. Frank drank 7 times more milk than Mark. How many cartons of milk did Frank drink? Write your answer as a fraction, or as a whole or mixed number.

Decimals word problems

Best for: 4th grade, 5th grade

47. Adding Decimals: You have 2.6 grams of yogurt in your bowl and you add another spoonful of 1.3 grams. How much yogurt do you have in total?

48. Subtracting Decimals: Gemma had 25.75 grams of frosting to make a cake. She decided to use only 15.5 grams of the frosting. How much frosting does Gemma have left?

49. Multiplying Decimals with Whole Numbers: Marshall walks a total of 0.9 kilometres to and from school each day. After 4 days, how many kilometres will he have walked?

50. Dividing Decimals by Whole Numbers: To make the Leaning Tower of Pisa from spaghetti, Mrs. Robinson bought 2.5 kilograms of spaghetti. Her students were able to make 10 leaning towers in total. How many kilograms of spaghetti does it take to make 1 leaning tower?

51. Mixing Addition and Subtraction of Decimals: Rocco has 1.5 litres of orange soda and 2.25 litres of grape soda in his fridge. Antonio has 1.15 litres of orange soda and 0.62 litres of grape soda. How much more soda does Rocco have than Angelo?

52. Mixing Multiplication and Division of Decimals: 4 days a week, Laura practices martial arts for 1.5 hours. Considering a week is 7 days, what is her average practice time per day each week?

Comparing and sequencing word problems

Four students are sitting together and discussing math questions

Best for: Kindergarten, 1st grade, 2nd grade

53. Comparing 1-Digit Integers: You have 3 apples and your friend has 5 apples. Who has more?

54. Comparing 2-Digit Integers: You have 50 candies and your friend has 75 candies. Who has more?

55. Comparing Different Variables: There are 5 basketballs on the playground. There are 7 footballs on the playground. Are there more basketballs or footballs?

56. Sequencing 1-Digit Integers: Erik has 0 stickers. Every day he gets 1 more sticker. How many days until he gets 3 stickers?

57. Skip-Counting by Odd Numbers: Natalie began at 5. She skip-counted by fives. Could she have said the number 20?

58. Skip-Counting by Even Numbers: Natasha began at 0. She skip-counted by eights. Could she have said the number 36?

59. Sequencing 2-Digit Numbers: Each month, Jeremy adds the same number of cards to his baseball card collection. In January, he had 36. 48 in February. 60 in March. How many baseball cards will Jeremy have in April?

Time word problems

66. Converting Hours into Minutes: Jeremy helped his mom for 1 hour. For how many minutes was he helping her?

69. Adding Time: If you wake up at 7:00 a.m. and it takes you 1 hour and 30 minutes to get ready and walk to school, at what time will you get to school?

70. Subtracting Time: If a train departs at 2:00 p.m. and arrives at 4:00 p.m., how long were passengers on the train for?

71. Finding Start and End Times: Rebecca left her dad’s store to go home at twenty to seven in the evening. Forty minutes later, she was home. What time was it when she arrived home?

Money word problems

Best for: 1st grade, 2nd grade, 3rd grade, 4th grade, 5th grade

60. Adding Money: Thomas and Matthew are saving up money to buy a video game together. Thomas has saved $30. Matthew has saved $35. How much money have they saved up together in total?

61. Subtracting Money: Thomas has $80 saved up. He uses his money to buy a video game. The video game costs $67. How much money does he have left?

62. Multiplying Money: Tim gets $5 for delivering the paper. How much money will he have after delivering the paper 3 times?

63. Dividing Money: Robert spent $184.59 to buy 3 hockey sticks. If each hockey stick was the same price, how much did 1 cost?

64. Adding Money with Decimals: You went to the store and bought gum for $1.25 and a sucker for $0.50. How much was your total?

65. Subtracting Money with Decimals: You went to the store with $5.50. You bought gum for $1.25, a chocolate bar for $1.15 and a sucker for $0.50. How much money do you have left?

67. Applying Proportional Relationships to Money: Jakob wants to invite 20 friends to his birthday, which will cost his parents $250. If he decides to invite 15 friends instead, how much money will it cost his parents? Assume the relationship is directly proportional.

68. Applying Percentages to Money: Retta put $100.00 in a bank account that gains 20% interest annually. How much interest will be accumulated in 1 year? And if she makes no withdrawals, how much money will be in the account after 1 year?

Physical measurement word problems

A girl is doing math practice

Best for: 1st grade, 2nd grade, 3rd grade, 4th grade

72. Comparing Measurements: Cassandra’s ruler is 22 centimetres long. April’s ruler is 30 centimetres long. How many centimetres longer is April’s ruler?

73. Contextualizing Measurements: Picture a school bus. Which unit of measurement would best describe the length of the bus? Centimetres, metres or kilometres?

74. Adding Measurements: Micha’s dad wants to try to save money on gas, so he has been tracking how much he uses. Last year, Micha’s dad used 100 litres of gas. This year, her dad used 90 litres of gas. How much gas did he use in total for the two years?

75. Subtracting Measurements: Micha’s dad wants to try to save money on gas, so he has been tracking how much he uses. Over the past two years, Micha’s dad used 200 litres of gas. This year, he used 100 litres of gas. How much gas did he use last year?

A tablet showing an example of Prodigy Math's battle gameplay.

76. Multiplying Volume and Mass: Kiera wants to make sure she has strong bones, so she drinks 2 litres of milk every week. After 3 weeks, how many litres of milk will Kiera drink?

77. Dividing Volume and Mass: Lillian is doing some gardening, so she bought 1 kilogram of soil. She wants to spread the soil evenly between her 2 plants. How much will each plant get?

78. Converting Mass: Inger goes to the grocery store and buys 3 squashes that each weigh 500 grams. How many kilograms of squash did Inger buy?

79. Converting Volume: Shad has a lemonade stand and sold 20 cups of lemonade. Each cup was 500 millilitres. How many litres did Shad sell in total?

80. Converting Length: Stacy and Milda are comparing their heights. Stacy is 1.5 meters tall. Milda is 10 centimetres taller than Stacy. What is Milda’s height in centimetres?

81. Understanding Distance and Direction: A bus leaves the school to take students on a field trip. The bus travels 10 kilometres south, 10 kilometres west, another 5 kilometres south and 15 kilometres north. To return to the school, in which direction does the bus have to travel? How many kilometres must it travel in that direction?

Ratios and percentages word problems

Best for: 4th grade, 5th grade, 6th grade

82. Finding a Missing Number: The ratio of Jenny’s trophies to Meredith’s trophies is 7:4. Jenny has 28 trophies. How many does Meredith have?

83. Finding Missing Numbers: The ratio of Jenny’s trophies to Meredith’s trophies is 7:4. The difference between the numbers is 12. What are the numbers?

84. Comparing Ratios: The school’s junior band has 10 saxophone players and 20 trumpet players. The school’s senior band has 18 saxophone players and 29 trumpet players. Which band has the higher ratio of trumpet to saxophone players?

85. Determining Percentages: Mary surveyed students in her school to find out what their favourite sports were. Out of 1,200 students, 455 said hockey was their favourite sport. What percentage of students said hockey was their favourite sport?

86. Determining Percent of Change: A decade ago, Oakville’s population was 67,624 people. Now, it is 190% larger. What is Oakville’s current population?

87. Determining Percents of Numbers: At the ice skate rental stand, 60% of 120 skates are for boys. If the rest of the skates are for girls, how many are there?

88. Calculating Averages: For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average?

Probability and data relationships word problems

Two students are calculating on a whiteboard

Best for: 4th grade, 5th grade, 6th grade, 7th grade

89. Understanding the Premise of Probability: John wants to know his class’s favourite TV show, so he surveys all of the boys. Will the sample be representative or biased?

90. Understanding Tangible Probability: The faces on a fair number die are labelled 1, 2, 3, 4, 5 and 6. You roll the die 12 times. How many times should you expect to roll a 1?

91. Exploring Complementary Events: The numbers 1 to 50 are in a hat. If the probability of drawing an even number is 25/50, what is the probability of NOT drawing an even number? Express this probability as a fraction.

92. Exploring Experimental Probability: A pizza shop has recently sold 15 pizzas. 5 of those pizzas were pepperoni. Answering with a fraction, what is the experimental probability that he next pizza will be pepperoni?

93. Introducing Data Relationships: Maurita and Felice each take 4 tests. Here are the results of Maurita’s 4 tests: 4, 4, 4, 4. Here are the results for 3 of Felice’s 4 tests: 3, 3, 3. If Maurita’s mean for the 4 tests is 1 point higher than Felice’s, what’s the score of Felice’s 4th test?

94. Introducing Proportional Relationships: Store A is selling 7 pounds of bananas for $7.00. Store B is selling 3 pounds of bananas for $6.00. Which store has the better deal?

95. Writing Equations for Proportional Relationships: Lionel loves soccer, but has trouble motivating himself to practice. So, he incentivizes himself through video games. There is a proportional relationship between the amount of drills Lionel completes, in x , and for how many hours he plays video games, in y . When Lionel completes 10 drills, he plays video games for 30 minutes. Write the equation for the relationship between x and y .

Geometry word problems

Best for: 4th grade, 5th grade, 6th grade, 7th grade, 8th grade

96. Introducing Perimeter:  The theatre has 4 chairs in a row. There are 5 rows. Using rows as your unit of measurement, what is the perimeter?

97. Introducing Area: The theatre has 4 chairs in a row. There are 5 rows. How many chairs are there in total?

98. Introducing Volume: Aaron wants to know how much candy his container can hold. The container is 20 centimetres tall, 10 centimetres long and 10 centimetres wide. What is the container’s volume?

99. Understanding 2D Shapes: Kevin draws a shape with 4 equal sides. What shape did he draw?

100. Finding the Perimeter of 2D Shapes: Mitchell wrote his homework questions on a piece of square paper. Each side of the paper is 8 centimetres. What is the perimeter?

101. Determining the Area of 2D Shapes: A single trading card is 9 centimetres long by 6 centimetres wide. What is its area?

102. Understanding 3D Shapes: Martha draws a shape that has 6 square faces. What shape did she draw?

103. Determining the Surface Area of 3D Shapes: What is the surface area of a cube that has a width of 2cm, height of 2 cm and length of 2 cm?

104. Determining the Volume of 3D Shapes: Aaron’s candy container is 20 centimetres tall, 10 centimetres long and 10 centimetres wide. Bruce’s container is 25 centimetres tall, 9 centimetres long and 9 centimetres wide. Find the volume of each container. Based on volume, whose container can hold more candy?

105. Identifying Right-Angled Triangles: A triangle has the following side lengths: 3 cm, 4 cm and 5 cm. Is this triangle a right-angled triangle?

106. Identifying Equilateral Triangles: A triangle has the following side lengths: 4 cm, 4 cm and 4 cm. What kind of triangle is it?

107. Identifying Isosceles Triangles: A triangle has the following side lengths: 4 cm, 5 cm and 5 cm. What kind of triangle is it?

108. Identifying Scalene Triangles: A triangle has the following side lengths: 4 cm, 5 cm and 6 cm. What kind of triangle is it?

109. Finding the Perimeter of Triangles: Luigi built a tent in the shape of an equilateral triangle. The perimeter is 21 metres. What is the length of each of the tent’s sides?

110. Determining the Area of Triangles: What is the area of a triangle with a base of 2 units and a height of 3 units?

111. Applying Pythagorean Theorem: A right triangle has one non-hypotenuse side length of 3 inches and the hypotenuse measures 5 inches. What is the length of the other non-hypotenuse side?

112. Finding a Circle’s Diameter: Jasmin bought a new round backpack. Its area is 370 square centimetres. What is the round backpack’s diameter?

113. Finding a Circle's Area: Captain America’s circular shield has a diameter of 76.2 centimetres. What is the area of his shield?

114. Finding a Circle’s Radius: Skylar lives on a farm, where his dad keeps a circular corn maze. The corn maze has a diameter of 2 kilometres. What is the maze’s radius?

Variables word problems

A hand is calculating math problem on a blacboard

Best for: 6th grade, 7th grade, 8th grade

115. Identifying Independent and Dependent Variables: Victoria is baking muffins for her class. The number of muffins she makes is based on how many classmates she has. For this equation, m is the number of muffins and c is the number of classmates. Which variable is independent and which variable is dependent?

116. Writing Variable Expressions for Addition: Last soccer season, Trish scored g goals. Alexa scored 4 more goals than Trish. Write an expression that shows how many goals Alexa scored.

117. Writing Variable Expressions for Subtraction: Elizabeth eats a healthy, balanced breakfast b times a week. Madison sometimes skips breakfast. In total, Madison eats 3 fewer breakfasts a week than Elizabeth. Write an expression that shows how many times a week Madison eats breakfast.

118. Writing Variable Expressions for Multiplication: Last hockey season, Jack scored g goals. Patrik scored twice as many goals than Jack. Write an expression that shows how many goals Patrik scored.

119. Writing Variable Expressions for Division: Amanda has c chocolate bars. She wants to distribute the chocolate bars evenly among 3 friends. Write an expression that shows how many chocolate bars 1 of her friends will receive.

120. Solving Two-Variable Equations: This equation shows how the amount Lucas earns from his after-school job depends on how many hours he works: e = 12h . The variable h represents how many hours he works. The variable e represents how much money he earns. How much money will Lucas earn after working for 6 hours?

How to easily make your own math word problems & word problems worksheets

Two teachers are discussing math with a pen and a notebook

Armed with 120 examples to spark ideas, making your own math word problems can engage your students and ensure alignment with lessons. Do:

  • Link to Student Interests:  By framing your word problems with student interests, you’ll likely grab attention. For example, if most of your class loves American football, a measurement problem could involve the throwing distance of a famous quarterback.
  • Make Questions Topical:  Writing a word problem that reflects current events or issues can engage students by giving them a clear, tangible way to apply their knowledge.
  • Include Student Names:  Naming a question’s characters after your students is an easy way make subject matter relatable, helping them work through the problem.
  • Be Explicit:  Repeating keywords distills the question, helping students focus on the core problem.
  • Test Reading Comprehension:  Flowery word choice and long sentences can hide a question’s key elements. Instead, use concise phrasing and grade-level vocabulary.
  • Focus on Similar Interests:  Framing too many questions with related interests -- such as football and basketball -- can alienate or disengage some students.
  • Feature Red Herrings:  Including unnecessary information introduces another problem-solving element, overwhelming many elementary students.

A key to differentiated instruction , word problems that students can relate to and contextualize will capture interest more than generic and abstract ones.

Final thoughts about math word problems

You’ll likely get the most out of this resource by using the problems as templates, slightly modifying them by applying the above tips. In doing so, they’ll be more relevant to -- and engaging for -- your students.

Regardless, having 120 curriculum-aligned math word problems at your fingertips should help you deliver skill-building challenges and thought-provoking assessments.

The result?

A greater understanding of how your students process content and demonstrate understanding, informing your ongoing teaching approach.

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  • April 7, 2024 The Sunday Read: ‘What Deathbed Visions Teach Us About Living’
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The Sunday Read: ‘What Deathbed Visions Teach Us About Living’

Researchers are documenting a phenomenon that seems to help the dying, as well as those they leave behind..

By Phoebe Zerwick

Read by Samantha Desz

Produced by Jack D’Isidoro and Aaron Esposito

Narration produced by Anna Diamond and Emma Kehlbeck

Original music by Aaron Esposito

Engineered by Sophia Lanman and Sharon Kearney

Listen and follow The Daily Apple Podcasts | Spotify

Chris Kerr was 12 when he first observed a deathbed vision. His memory of that summer in 1974 is blurred, but not the sense of mystery he felt at the bedside of his dying father. Throughout Kerr’s childhood in Toronto, his father, a surgeon, was too busy to spend much time with his son, except for an annual fishing trip they took, just the two of them, to the Canadian wilderness. Gaunt and weakened by cancer at 42, his father reached for the buttons on Kerr’s shirt, fiddled with them and said something about getting ready to catch the plane to their cabin in the woods. “I knew intuitively, I knew wherever he was, must be a good place because we were going fishing,” Kerr told me.

Kerr now calls what he witnessed an end-of-life vision. His father wasn’t delusional, he believes. His mind was taking him to a time and place where he and his son could be together, in the wilds of northern Canada.

Kerr followed his father into medicine, and in the last 10 years he has hired a permanent research team that expanded studies on deathbed visions to include interviews with patients receiving hospice care at home and with their families, deepening researchers’ understanding of the variety and profundity of these visions.

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