solving word problems involving addition

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Addition Word Problem Worksheets

The addition word problem worksheets presented here involve performing addition operations with regrouping and without regrouping. Our extensive and well-researched word problem worksheets feature real-life scenarios that involve single-digit addition, two-digit addition, three-digit addition, and addition of large numbers. These pdf handouts are designed to provide ample practice for elementary school children. Free worksheets are included.

Single-digit Addition Word Problems

These printable practice worksheets involve simple addition of single-digit numbers. Read the word problems and perform addition operations to arrive at the answers.

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Addition Word Problems: Sum up to 20

Featured in these worksheets are engaging word problems whose sums add up to 20. Addends may have a combination of single-digit and two-digit numbers.

Addition Problems: Two-digit and Single-digit

A number of real-life scenarios in the form of word problems featured in the addition worksheets here involve single digit and two-digit addends.

Two-digit Addition Problems - No Regrouping

The word problems in this section do not require regrouping or carrying. Find the answers to the word problems that feature two-digit addends.

Two-digit Addition Problems - With Regrouping

All two-digit addition word problems presented in this set of worksheets here require regrouping (carry over). Follow the place value columns to sum up the two-digit addends.

Theme based Word Problems

Presented here are worksheets with three colorful themes - Fall Season, Aquarium and Theme Park. Read the questions and solve the word problems. Answer keys are included.

Three-digit and Two-digit Addition

A total of 15 addition word problems spread over three PDF worksheets presented here require you to sum up three-digit addends with the two-digit addends.

Three-digit Addition Word Problems

Enhance your arithmetic skills. Read the word problems and sum up three-digit addends in these printable worksheets. Some problems may require regrouping. Answer key included in each worksheet.

Multi-digit Addition Word Problems: Adding Large Numbers

The word problems presented in the worksheets here feature large numbers with addends up to eight digits.

Related Worksheets

» Subtraction Word Problems

» Multiplication Word Problems

» Division Word Problems

» Math Word Problems

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Addition word problems for grade 3

Simple addition worksheets.

These third grade math worksheets have word problems on simple addition. The focus here is on solving real life situations by using addition.

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Worksheet on Word Problems on Addition

In 4th grade worksheet on word problems on addition, all grade students can practice the questions on word problems based on addition. This exercise sheet on addition can be practiced by the students to get more ideas to solve the worksheet on word problems on addition.

1.  In an examination, 75,236 students passed and 14,892 students failed. Find how many students appeared for the examination. 

2.  There are 3,786 men, 3,672 women and 1,508 children in a village. Find the total population of the village. 

3.  There are 5,873 male and 6,389 female primary teachers in a city. Find the total number of teachers in the city.

4. In a school there are the following numbers of students: 127 in grade one, 120 in grade two, 110 in grade three, 100 in grade four and 93 in grade five. Find the total number of students in the school.

5. A man plucked 435 mangoes from one tree, 450 mangoes from the second tree and 295 mangoes from the third tree. Find the total number of mangoes plucked from the trees.

6. A school library has 3,730 books in French, 2,531 books in English, and 5,368 books in other languages. How many books are there in library?

7. There are 37,536 bags of wheat, 35,380 bags of rice and 25,240 bags of gram in a store. Find the total number of bags in the store.

8. A school management spent $ 26,756 on teachers pay, $ 325,378 on building construction, $ 5,780 on games and $ 8,235 on other work. Find the total amount spent on different items by the school management.

9. A man plucked 375 apples from one tree, 504 apples from the second tree and 229 apples from the third tree. Find the total number of apples plucked from the trees.

10. A toy factory manufactured 52,253 toys in January, 50,375 toys in February and 608,368 toys in March. How many toys were manufactured in the above mentioned months in total?

11. Mr. Jones goes to the shop to buy furniture for his house. He buys a double bed for $57930 and a sofa for $39860. What is the total amount spent by Mr. Jones at the shop.

12. According to a census, there were 45779 females in a town.  The number of males is 2336 more. What is the total population of the town?

13. 7883 people visited the zoo on Friday, 6596 on Saturday and 8224 on Sunday. How many people visited the zoo on these 3 days?

14. Ron is studying aboard. During his holidays, he travels to his home town. To reach his home town he covered 4562 km by air and 1057 km by bus. What is the total distance travelled by him to reach the home town?

15. Ron deposited $13645 in bank on Tuesday and $6880 on Wednesday. What is the amount of money deposited by him in bank in these 2 days?

16. Shelly went to buy furniture for her room and had $15000. She selects two different tables at the shop –

(i) a square table costing $9640

(ii) a round table costing $7890.

She has already bought a chair for $5999. Which table would she be able to buy?

17. An overhead tank has 4670 litres of water. If 2770 litres of water is added more to the tank, what is the total amount of water in the tank? Give any two ways in which we can conserve water.

18. During a cricket match, 3670 people watched the match from South End, 2270 from North End and 2850 from East End. How many people watched the match?

19. A cycle factory produced 6589 cycles in year 2010, 4869 cycles in 2011 and 2586 in 2012. What was the production in these three years?

20. At a meeting addressed by a political leader, there were 2,649 men 3,259 women and 837 children. How many people were present at the meeting?

21. In an election, there were three candidates. The first candidate got 1975 votes, the second candidate got 4688 votes and the third candidate got 2149 votes. In all how many votes were polled?

22. In an examination 5,865 boys and 2,954 girls appeared. How many students in all appeared in the examination?

23. A number is 468 more than 9268. Find the number.

24. A company produced 2,756; 1,751 and 3,058 pencils in three successive months. In all, how many pencils were produced by the company in these three months?

25. James has 12589 stamps and Mary has 34879 stamps in their albums. How many stamps do they have altogether?

26. There are 3592 cows, 4692 buffaloes and 1296 other cattle in a village. What is the population of the cattle?

27. A village has 24,925 women 17,840 men and 4,540 children. What is the population of the village?

28. A factory produced 17,895 toys in the 1st year, 26,004 toys in the 2nd year and 34,924 in the 3rd year. How many toys were produced in these years?

1.  90,128

2.  8,966

3.  12,262

4.  550

5.  1,180

6.  11,629

7.  98,156

8.  $ 3,66,149

9.  1,108

10.  7,10,996

11. $97,790

14. 5,619 km

15. $20,525

16. Round table

17. 7,440 litres

23.  9,736

26.  9,580

If students have any queries regarding the questions in the worksheet on word problems on addition please contact us so that we can help you. However, suggestions for further improvement, from all quarters would be greatly appreciated.

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Worksheet on Addition.

Worksheet on Word Problems on Addition.

Worksheet on Subtraction.

Worksheet on Mixed Addition and Subtraction.

Worksheet on Word Problems on Addition an d   S ubtraction.

Worksheet by Adding or Subtracting.

Worksheet on Addition and Subtraction.

Worksheet on Estimating Sums and Differences.

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Worksheet on Multiplication of a Number by a 2-Digit Number.

Worksheet on Multiplication of a Number by a 3-Digit Number.

Worksheet on Estimating Products.

Worksheet on Word Problems on Multiplication.

Worksheet on Division.

Worksheet on Division Facts.

Worksheet on Estimating the Quotient.

Worksheet on Dividing Numbers.

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Addition Word Problems 2nd Grade Addition Problems within 100

Welcome to our Addition Word Problems 2nd Grade Worksheets. Here you will find a wide range of free printable addition word problem worksheets, which will help your child practice solving a range of addition problems using numbers with a sum of up to 100.

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Addition Word Problems 2nd Grade

Addition problems within 100.

Each sheet consists of adding two or three numbers with a total of up to 100.

There is a space on each sheet for working out, so that your child can write out the problem and solve it.

We have split the worksheets up into word problems with and without regrouping.

Using these sheets will help your child to:

• add up two or three numbers within 100;
• solve addition word problems with and without regrouping.

Addition Word Problems 2nd Grade within 100

There are two versions of each sheet.

The first version (version A) contains problems where no regrouping is needed.

The second version (version B) contains similar problems but regrouping is needed to solve them.

Sheets 1A, 1B, 2A, 2B, 3A and 3B have just two addends to add up.

Sheets 4A, 4B, 5A and 5B have three addends to add together.

Addition Word Problems within 100 with 2 Addends

• Addition Word Problems within 100 Sheet 1A (no regrouping)
• PDF version
• Addition Word Problems within 100 Sheet 1B
• Addition Word Problems within 100 Sheet 2A (no regrouping)
• Addition Word Problems within 100 Sheet 2B
• Addition Word Problems within 100 Sheet 3A (no regrouping)
• Addition Word Problems within 100 Sheet 3B

Addition Word Problems within 100 with 3 Addends

• Addition Word Problems within 100 Sheet 4A (no regrouping)
• Addition Word Problems within 100 Sheet 4B
• Addition Word Problems within 100 Sheet 5A (no regrouping)
• Addition Word Problems within 100 Sheet 5B

Looking for some easier worksheets?

Take a look at our Addition word problems for first graders.

On this page, your child will learn to work out basic addition word problems with sums up to 20.

• 1st grade Addition Word Problems

Looking for some harder worksheets?

We have a range of 3-digit addition worksheets set out in columns.

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

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Addition & Subtraction Worksheets 2nd Grade

• Add and Subtract Within 20 Worksheets
• 3 Digit Addition and Subtraction Worksheets

More 2nd Grade Addition Worksheets

Here you will find some more of our 2nd Grade Addition Worksheets.

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• Number Bonds to 20
• Math Addition Facts to 20

More 2nd 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.

These sheets involve solving one or two more challenging longer problems. This link opens in a new tab.

• Second Grade Math Problems

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

• 2nd Grade Math Word Problems

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

• 2nd Grade Addition and Subtraction Word Problems

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

• Subtraction Word Problems 2nd grade

These sheets involve solving a range of multiplication problems.

• Multiplication Word Problems 2nd Grade

Addition Word Problems to 100 Online Quiz

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Math Word Problems

Welcome to the math word problems worksheets page at Math-Drills.com! On this page, you will find Math word and story problems worksheets with single- and multi-step solutions on a variety of math topics including addition, multiplication, subtraction, division and other math topics. It is usually a good idea to ensure students already have a strategy or two in place to complete the math operations involved in a particular question. For example, students may need a way to figure out what 7 × 8 is or have previously memorized the answer before you give them a word problem that involves finding the answer to 7 × 8.

There are a number of strategies used in solving math word problems; if you don't have a favorite, try the Math-Drills.com problem-solving strategy:

• Question : Understand what the question is asking. What operation or operations do you need to use to solve this question? Ask for help to understand the question if you can't do it on your own.
• Estimate : Use an estimation strategy, so you can check your answer for reasonableness in the evaluate step. Try underestimating and overestimating, so you know what range the answer is supposed to be in. Be flexible in rounding numbers if it will make your estimate easier.
• Strategize : Choose a strategy to solve the problem. Will you use mental math, manipulatives, or pencil and paper? Use a strategy that works for you. Save the calculator until the evaluate stage.
• Calculate : Use your strategy to solve the problem.
• Evaluate : Compare your answer to your estimate. If you under and overestimated, is the answer in the correct range. If you rounded up or down, does the answer make sense (e.g. is it a little less or a little more than the estimate). Also check with a calculator.

Most Popular Math Word Problems this Week

Arithmetic Word Problems

• Addition Word Problems One-Step Addition Word Problems Using Single-Digit Numbers One-Step Addition Word Problems Using Two-Digit Numbers
• Subtraction Word Problems Subtraction Facts Word Problems With Differences from 5 to 12
• Multiplication Word Problems One-Step Multiplication Word Problems up to 10 × 10
• Division Word Problems Division Facts Word Problems with Quotients from 5 to 12
• Multi-Step Word Problems Easy Multi-Step Word Problems

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Addition Word Problems (2-step word problems)

Related Topics: More Word Problems Singapore Math Algebra Word Problems

Here are some examples of addition word problems that can be solved in two steps. We will illustrate how block diagrams can be used to help you to visualize the addition word problems in terms of the information given and the data that needs to be found. Block diagrams are used in Singapore Math.

The price of a computer is $1709, the price of a printer is $280, and the price of a scanner is $190. What is the total cost of the three items?

Step 1: Find the total cost of the computer and the printer.

1709 + 280 = 1989 The total cost of the computer and the printer is $1989.

Step 2: Find the total cost of the 3 items.

1989 + 190 = 2179 The total cost of the 3 items is $2179.

Lily saved $1620. Poly saved $1923 more than Lily. How much did they save altogether?

Step 1: Find out how much Lily saved. 1620 + 1923 = 3543 Lily saved $3543.

Step 2: Find how much they saved altogether.

1620 + 3543 = 5163 They saved $5163 altogether.

Dan paid $155 for a printer and $378 more for a computer. How much did Dan pay for the 2 items altogether?

Step 1: Find out how much Dan paid for the computer. 155 + 378 = 533 Dan paid $533 for the computer.

Step 2: Find how much Dan paid for the two items altogether.

155 + 533 = 688 Dan paid $688 for the 2 items.

How to solve a two-step addition word problem? Example: 50 children attended the birthday party. 13 children left during the first hour. 9 children came in during the second hour. How many children were at the birthday party then?

How to use tape diagrams to solve a word problem? Example: Rose has 12 soccer practices this month. Six practices are in the afternoon, but the rest are in the morning. How many practices will there be in the morning?

How to solve a comparison addition word problems using bar models? Examples:

• Taylor had #23.00 more than Michelle. If Michelle had $75.00, how much money did they have altogether?
• Jeremy had 17 songs on his playlist than Suzanne. If Suzanne had 38 songs on her playlist, how many songs do they have altogether?
• Sally had 18 crayons. Jenny had 10 crayons, and Mark had 5 crayons. They decided, they’d put their crayons together and share them equally. How many crayons did each student get?
• Danny has 6 toy cars, Tony has 3 toy cars, and Annie has 3 toy cars. They put their toy cars together so they can split them equally. How many toy vars will each child receive?

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Addition word problems

 Addition word problems arise in any situations where there is a gain or an increase of something as a result of combining one or more numbers. Think of addition as combining parts to form a whole.

Consider the following situations. Problem #1: John has 800 dollars in his checking account. He received from his job a check for 1,200 dollars and deposit the amount in his checking account. How much money does he have in his checking after the deposit? Solution The fact of receiving money from his job is a gain. Therefore, we need to perform addition.

Total amount in checking account = 800 + 1200 = 2000 dollars Problem #2: Peter sells ice cream for a living. On Monday his revenue was 150 dollars. On Tuesday, his revenue was 100 dollars. Finally, on Wednesday, his revenue was 50 dollars. How much is Peter's revenue so far? Solution Peter is experiencing a gain in revenue. Therefore, we use addition.

Peter's revenue = 150 + 50 + 100 = 300 dollars Problem #3: Eiffel Tower is about 1063 feet high. The Statue of Liberty along with its foundation and pedestal is about 305 feet. If you could put the Statue of Liberty on top of the Eiffel Tower, how high up in heaven will the two monuments reach? Solution The situation above is a combination of parts to form a whole. Therefore, we use addition.

Problem #4:

Ana found a 15 dollar bill on the floor on Saturday.

Then on Sunday her parents gave her 155 dollars. How much does Ana have all together?

CLUE: Saturday~15 dollars Sunday~155 dollars

Solution: 15+155 = 170 dollars all together

Subtraction word problems

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Addition Word Problems Worksheets

Addition word problem worksheets are useful for students to improve their conceptual understanding of addition and word problems based on it. Simplifying simple algebraic operations of addition is the first step in a student's journey of learning algebra. These worksheets provide the fundamental concepts required for students to understand this fundamental math operation and its application.

Benefits of Adding Word Problems Worksheets

For kids to master any topic, it is necessary to solve various problems within that topic. By solving numerous practice questions that are readily available in these worksheets, a child can quickly grasp the concept fluency. These math worksheets comprise fun and interactive activities, and solving these problems keeps students active throughout the learning process.

Download Addition Word Problems Worksheet PDFs

The gradual increase in the difficulty level of questions makes it easy for students to gain confidence while practicing the topic. They are easy to use, free to download, and access PDFs worksheets. Students planning to appear for competitive exams can also use these free worksheets to prepare and shine.

☛ Check Grade wise Addition Worksheets

• Kindergarten Addition Worksheets
• Addition Worksheets Grade 1
• 2nd Grade Addition Worksheets
• Addition Worksheets Grade 3
• 4th Grade Addition Worksheets
• Addition Worksheets Grade 5

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25 Addition Word Problems for Year 2 to Year 6 With Tips On Supporting Pupils’ Progress

Emma Johnson

Addition word problems appear throughout KS1 and KS2. Children are introduced to simple addition and subtraction word problems in the early years. This knowledge is then built upon throughout primary school, right up to Year 6, when pupils work with complex multi-step word problems involving large whole numbers and decimal numbers.

In the early stages, in Key Stage one and lower Key Stage two, addition word problems are taught through the use of concrete resources and visual images, using and developing subitising skills. As pupils become more confident with the formal written methods, children progress to use these to help solve more complex addition and subtraction word problems .

All Kinds of Word Problems Addition and Subtraction

Download this free, printable pack of addition word problems worksheets to help your class to develop their addition and problem solving skills.

Addition word problems in Year 1

Addition word problems in year 2, addition word problems in year 3, addition word problems in year 4, addition word problems in year 5, addition word problems in year 6.

• Why are word problems important for children’s understanding of addition

How to teach addition word problem solving in primary school

Addition word problems for year 2, addition word problems for year 3, addition word problems for year 4, addition word problems for year 5, addition word problems for year 6, looking for more word problems resources.

Children benefit from regular exposure to word problems, alongside any fluency work they are doing. To help you with this, we have put together a collection of 25 addition word problems with answer keys, which can be used with pupils from Year 2 to Year 6.

Addition word problems in the National Curriculum

Pupils in Year 1 are introduced to simple one-step problems involving place value addition and subtraction word problems , through the use of concrete objects, pictorial representations and missing number problems. At this stage, children should be memorising and reasoning with number bonds to 10 and 20. They also need to understand the effect of adding zero.

In Year 2, pupils continue to use concrete objects and pictorial representations to solve addition problems, including those involving numbers, quantities, measures and simple money word problems . They are also expected to apply their increasing knowledge of mental and written methods,  using one and two-digit numbers. Pupils start working on basic written addition and are introduced to the concept of regrouping.

By Year 3, pupils are starting to tackle more complex addition word problems. They begin to use written methods to add 3-digit numbers, using formal column method for addition. Pupils also begin solving addition problems involving fractions, in addition to building on their mental addition skills to add a three-digit number and ones, tens and hundreds. 

Pupils in Year 4 progress to solving two-step problems in contexts, deciding which operations and methods to use and why. They are also beginning to work with larger numbers, adding up to four digits using the formal written method of column addition.

By Year 5, pupils are solving multi-step word problems in contexts. They add whole numbers with more than four digits and decimal numbers, using formal written methods. Children are also adding increasingly larger numbers mentally.

Third Space Learning’s online one-to-one tutoring programmes work with students to fill their learning gaps and build confidence in maths. Tailored to the needs of each student, Third Space Learning’s tutoring programmes offer students more opportunities to practice their maths skills and reach their year group standard.

Pupils in Year 6 continue to work with larger numbers and decimals, solving increasingly complex multi-step problems, deciding which operations to use and why. By this stage students should have a solid grasp of the written methods for all four operations.

Why are word problems important for children’s understanding of addition

Word problems help children to make sense of addition. In the Early Years, simple story problems aid understanding of what is being asked, alongside the use of concrete resources and visual images. Real-life word problems are an important element of the maths curriculum for children throughout the school, giving them the opportunity to put the addition skills they have learnt into context, to understand how they can be used in the outside world. 

Pupils need to be taught how to approach word problems, beginning by reading the questions carefully and making sure they fully understand what is being asked. The next step is to determine what calculation is needed and whether there are concrete resources or pictorial representations  they can use to help solve it, or if 

Here is an example:

There were 3,756 people on a cruise ship.

456 people get on after the first week, whilst 623 get off.

How many passengers are on board the ship now after the first week?

How to solve:

What do you already know?

• There are 3,756 on the cruise ship at the start of the journey.
• 456 people get on after the first week, therefore we need to add 456 to 3,746. This gives us a total of 4,212 people
• 623 people get off, so we need to subtract 623 from the total number of passengers now on the boat. When we subtract 623 from 4,212, we get a total of 3,589.

How can this be represented pictorially?

• We can draw 2 bar models to represent this problem.
• The number of passengers who got on the ship after the first week is added to the  total number of people on the boat at the start of the trip. 
• We then draw a second bar model to show how many passengers were left on the ship once the 623 passengers got off after the first week.

Addition word problems in Year 2 require pupils to work with 1 and 2-digit numbers. At this stage it is important children are working with concrete resources to support their understanding. Children also begin to learn how to check their answers by finding the inverse of  calculations.

Year 2 addition question 1

Maise has 14 crayons. Her friend gives her 8 more. 

How many crayons does Maisie have now?

Answer: 22 crayons

14 + 8 = 22

Year 2 addition question 2

Hamza buys a large pack of biscuits, whilst his sister buys a small pack.

The large pack contains 18 biscuits, whilst the small pack contains 8.

How many biscuits does Hamza and his sister have altogether?

Answer: 26 biscuits

18 + 8 = 26

Year 2 addition question 3

13 children sign up for the after school football club and 11 sign up for the netball club.

How many children sign up altogether?

Answer: 24 children

13 + 11 = 24

Year 2 addition question 4

Amal collects 34 conkers. Her brother finds 7 more and adds them to her collection.

How many conkers does Amal have now?

Answer: 41 conkers

34 + 7 = 41

Year 2 addition question 5

38 children were on the bus going to the zoo. 

The bus stopped to pick up 12 children from another school.

How many children were on the bus now?

Answer: 50 children

38 + 12 = 50

Word problems for Year 3 require pupils to work with larger numbers. By this stage, children are becoming more confident with the formal written column  method and are able to use this to solve 2 and 3 digit addition word problems. Addition word problems can be incorporated into other areas of the maths curriculum, for example, through time word problems . 

Year 3 addition question 1

Mason has collected 256 stickers. Rory has collected 352 stickers.

How many stickers have the two boys collected between them?

Answer: 608 stickers

256 + 352 = 608

Year 3 addition question 2

A train driver drove 234 miles on Monday and a further 186 miles on Tuesday.

How many miles did he drive in total over the 2 days?

Answer: 420 miles

(Show as column method; 234 + 186 = 420)

Year 3 addition question 3

Sam spent £1.25 on a bar of chocolate in the shop. He then spent 60p on a packet of sweets. How much did he spend all together

Answer: £1.85

1.25 + 85 = 1.85

Year 3 addition question 4

A climber has climbed 238m up the mountain. He has another 174m to go to reach the top. How high is the mountain?

Answer: 412m

(Show has column method: 238 + 174 = 412)

Year 3 addition question 5

A family was travelling to their holiday home. 

They set off at 9am and travelled for an hour and a half. 

They then had a 20 minute break and travelled for another hour. 

What time did they reach their holiday home?

Answer: 11:50am

1 ½ hours + 20 minutes + 1 hours = 2 hours 50 

Start at 9am, count on an hour, then another 20 minutes, followed by another hour = 11:50am

With word problems for Year 4 , pupils progress onto 4 digit addition word problems. They are also beginning to solve more complex, two-step word problems. Children should be encouraged to estimate and find the inverse, to check the accuracy of their calculations. In Year 4, pupils also solve addition word problems involving  fractions and decimals.

Year 4 addition question 1

A builder is building a wall around the school playing field.

He has used 4865 bricks so far and has another 1135 bricks to finish the wall.

How many bricks will he use to build the wall?

Answer: 6000 bricks

4865 + 1135 = 6000

Year 4 addition question 2

Hot dogs: £1.60

Burgers: £1.40

Pizza: £1.99

Fries: £1.25

Soft drinks: £1.15

Chloe is buying some food from a cafe. 

She buys 2 hot dogs, a pizza, 2 portions of fries and 2 drinks. 

How much does she spend altogether?

Answer: £9.99

Hot dogs: £1.60 + £1.60 = £3.20

Fries: £1.25 + £1.25 = £2.50

Drinks: £1.15 + £1.15 = £2.30

Total= £3.20 + £1.99 + £2.50 + £2.30 = £9.99

Year 4 addition question 3

A runner is completing a 10,000m race. 

He has already run 4560m. How much further does he have to run?

Answer: 5440m

Solved mentally by calculating how many more metres to 5000m – 440m, then adding on a further 5000m = 5440m

This can also be solved as a missing number column addition, or as a subtraction calculation.

Year 4 addition question 4

Ben has £50. He buys a t-shirt for £15.50 and a hoodie for £25.50. 

How much change does he have left?

Answer: £9 change

£15.50 + £25.50 = £41

£50 – £41 = 9

Year 4 addition question 5

A flight from London to Doha is a distance of 6731 miles. It is then another 12,375km to Sydney. 

How far is the journey from London to Sydney, via Doha?

Answer: 19,106 miles

12,375 + 6731 = 19,106

Word problems for Year 5 require pupils to solve addition word problems with larger numbers (more than 4 digits), using formal written methods and  mentally. Word problems become more complex multi-step problems, involving other operations. Pupils at this stage should continue to be encouraged to check their answers by finding the inverse.

Year 5 addition question 1

Three towns have populations of 14,768, 17,956 and 13,858.

What is the total population of the three towns combined?

Answer: 46,582

(Show as column method 14,768 + 17,956 + 13,858 = 46,582)

Year 5 addition question 2

A car can hold 60 litres of fuel when the tank is full.

If 17.98 litres of fuel has been used, how much fuel does the tank hold now?

Answer: 42.02 L

This can be solved mentally, by counting on from 17.98, as a missing number addition question, using column addition, or as a subtraction question.

Year 5 addition question 3

A man weighing 85.23kg gets into a lift. On the next floor, another man gets in, weighing 79.4kg.

If the lift can hold a maximum weight of 500kg, how much more weight can the lift carry?

Answer: 335.37kg

(show as column method)

85.23 + 79.4 = 164.63

500 – 164.63 = 335.37

Count up from 164.63 or solve as a missing number addition.

Year 5 addition question 4

The temperature in Toronto was -27 degrees celsius one January evening. On the same day, the temperature in Doha went up to 29 degrees. 

What was the difference between the temperature in Toronto and the temperature in Doha?

Answer: 56 degrees celsius

29 + 27 = 56

Year 5 addition question 5

Large packet of biscuits – £1.75

Small packet of biscuits – 98p

Lucy buys 2 large packets of biscuits and 4 small packets. How much change will she get from a £10 note?

Answer: £2.58

2 large packets = £1.75 + £1.75 = £3.50

4 small packets = 98p x 4 = £3.92

Total = £3.92 + £3.50 = £7.42

£10 – 7.42 = £2.58  or count on from £7.42 to £10 

With word problems for Year 6 , pupils need to be able to solve word problems using larger whole numbers of up to 6 or 7 digits, problems involving fraction word problems and problems involving decimals.  Addition word problems in SATs include one-step, two-step and more complex multi-step problems.

Year 6 addition question 1

Mr Jones spent £24,799 on a new car and £8,750 on a caravan.

He has £15,074 left in his bank account. 

How much did he have to start with?

Answer: £48,623

24,799 + 8,750 = 33,549

33,549 + 15,074 = 48,623

Year 6 addition question 2

17,523 more people visited a theme park this year than last year.

If 315,736 people visited last year. How many visited this year?

Answer: 333,259 people

315,736 + 17,523 = 333,259

Year 6 addition question 3

A zoo buys 53.7kg of animal feed. Each day, 7.34kg is used for the camels, 2356g for the meerkats and 4.49kg for the zebras.

After 2 days, how much will the zoo have left?

Answer: 25.328kg left

7.34 + 2.356 + 4.49 = 14,186

14,186 + 14,186 = 28.372

53.7 – 28.372 = 25.328

Year 6 addition question 4

A company sent out 1,417,806 flyers in April and 931,368 in May.

• Estimate how many flyers the company sent out in April and May combined.
• What is the actual number of flyers sent out? 
• 2,300,000 

1,400,000 + 900,000 = 2,300,00

• 1,417,806 + 931,368 = 2,349,174

Year 6 addition question 5

The Brown family are going on a road trip. They plan to drive 274.3 miles to a hotel. They then have another 276.9 miles to drive to reach their final destination.

If they have travelled 197.8 miles so far, how much further do they have to travel before they reach their final destination?

Answer: 353.4 miles

274.3 + 276.9 = 551.2

551.2 – 197.8 = 353.4

Take a look at our comprehensive collection of word problems practice questions covering a wide range of topics such as ratio word problems , percentages word problems , multiplication word problems , division word problems and more. 

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Solving Multi-Step Addition and Subtraction Word Problems

Solving multi-step addition and subtraction word problems can help students see the relationship between operations, as well as practice their calculations.  When I teach subtraction, I also like to show how students can use addition to check their work!  Students often think that they are done when they arrive at the answer, but it is my mission to show them that they can do just one more step to check and make sure their work is correct.  Addition and subtraction work together to help each other out.

The Art of Check Writing

Although the art of writing a check and balancing a checkbook is going away, those processes still have great value for practicing addition and subtraction.  I like to present math problems with money, budgets and purchasing items, but these days students tell me just to “charge it to a card”.  I have been tempted to find my old carbon copy paper receipts and bring them into class.  Just the other week, we had our lawnmower repaired.  The man ran a small, old business and he wrote out all of the receipts and transactions by hand, using the box with carbon copy receipts.  He wrote down the price of the parts, added the taxes and charges, and summed it up – BY HAND!  The only thing missing for a good math problem was writing the word form onto a check.

Set up Shop in Your Classroom

So I thought, why not create a shop in my classroom!  Students can be the shopkeepers and the customers, but no charge cards allowed!  Shopkeepers would have to write the receipt, and the customers would have to write a check for the exact amount.  The students would have to read scenarios and decide what to buy.  I could even give them a budget or a sales goal and they would have to periodically check the difference by subtracting.  It would be a lesson embedded in real life addition and subtraction word problems.

Set up for Solving Multi-Step Addition and Subtraction Word Problems

• Print or create price tags from page 6 of the worksheet for the list of items located pages 7-10.
• Set up “items” and pictures around the room. There are pictures provided on pages 7-10 on the worksheet , but you can always supplement or creatively add items of your own.
• Set up 5 shopkeeper stations with blank copies of “Receipts.” (See worksheet page 3)
• Set up each shop with a Sales Record to keep track of sales and income. Each shop has a distinct sales goal, such as $99, $250, $400, $505, $888.
• $99 – Bargain Basement
• $250 – Quarter Millie’s Party Store
• $400 – Four Double Zero
• $505 – 505 Faves
• $888 – Great Eights
• Provide each student with 6 blank checks and 1 balance sheet. (See worksheet pages 4-5.)
• Provide each student with a copy of the Addition and Subtraction Worksheet .
• If you have little bells or signs, you can set up the shopkeeper with things like an “Open/Closed” sign or “Ring bell for service”.

Launch the Solving Multi-Step Addition and Subtraction Word Problems

If you have time, set up some open/closed shop signs to create the feel of a store in the classroom.  You can even have students create a checkbook with their checks.

Introduce the activity by saying “Today we are going to go shopping!”  Explain that everyone will rotate through and get a chance to run a shop as well as go shopping for items on the worksheet.  The students will not actually pick up items and keep them, but you can have things on display or just have photos and a price list.

Explain the vocabulary and show an example of each: (All are found on the worksheet .)

this is used to write an exact amount of money.  It takes the money out of your bank account and gives it to the store or person it is written to when cashed at the bank.

Balance Sheet

This is a record of how much money you have and how much you spend.  The balance is the amount of money people have to spend.  Use the balance sheet to keep track of the money.  Tell the students that everyone starts with a balance of $445.00. The shoppers can write a brief description of what they buy in the white rows and then subtract the amount spent from the balance.  Explain that the students can do the subtraction vertically in the balance column.  The shaded rows show the running balance, and the white rows show how much is spent each time.  Subtract any money spent to get the new balance.Tell your students “When you reach zero – you are out of money!”

This is a set amount of money made from selling goods that sales people try to reach.  If you have a sales goal, you can subtract any sales to see how much more money you need to reach the goal.

This lists the items being purchased and how much they each cost.  The receipt also gives the total cost of the purchase.  It is a record to show the sale.

Use this scenario to model the work students will do:

“You walk into the store Four Double Zero and  decide to buy headphones for $125 and a case for $34.  What is your purchase price?”

Together, work through the addition.  Remind the students that BOTH the customer and the shopkeeper must do the addition.  Then the shopkeeper tells the customer what to pay.  (There are no taxes or charges unless indicated in the problem on the worksheet).

Pass Out Student Checkbooks

Give every student their checks or checkbook.  Use the first blank check to write the demo check together.  Every check must have:

• The name of the store or person you are writing the check to
• The purchase amount in word form
• The purchase amount in standard form
• The Memo line – items purchased

Then demonstrate the following:

• The customer must subtract: $455 – $159
• The Storekeeper must subtract it from the Sales Goal $400- $159

After the demo, space the students out among the stores.  Assign 1-2 students as shopkeepers at each shop and have the remaining students walk around and shop using the worksheet scenarios.

You can provide 5-10 minutes of shopping and then switch roles, or you can walk around and switch out shopkeepers as you see fit.

• Each student has a Budget of $455 for their entire shopping trip.
• The scenarios on the worksheet ask students to buy at least 2 items from each shop. Some of the word problems are set, others have a choice of items.
• Customers indicate the items and say the prices. The shopkeeper writes the prices and adds them up.  The Customer also adds them up and they check.
• Once the price is determined, the customer writes a check using standard and word form and the name of the store, then signs and dates it.
• The customer then subtracts the purchase from his/her running balance.
• The shopkeeper cashes the check, adds it to the sales list and subtracts it from the sales goal for that shop.
• Customers must check their balance after each purchase. Customers will keep a running balance throughout their shopping experience.
• Shopkeepers must check their Sales goals and how much more money they need after each customer. Shopkeepers can keep a running total while they are in charge of that shop.  However, when a new shopkeeper comes in, they must start with the original sales goal when subtracting.
• Depending on the class size, start each shop with 1-2 shopkeepers. Then have the remaining students go around to the available shopkeepers and work through their transactions.  Switch roles when appropriate.

Reflection on Solving Multi-Step Addition and Subtraction Word Problems

Walk around and help the shopkeepers and the customers as they work through the purchasing process.

At the end, share what people decided to buy and talk about the processes of making a transaction.

Ask questions such as:

• Which store did you like the best?
• Did you ever add up the numbers and get a different sum than the shopkeeper/customer? How did you resolve the price issue?
• Why do you need to subtract your purchases from the budget?
• How did you keep track of your purchases?
• Did any shopkeepers reach their sales goal before leaving their “shift”?
• In the end, how could you check the total amount of purchases you made today? Did you stay under budget?
• Did anyone go over their budget?
• Have students create a price list of items and write 4 of their own word problems. Give them a sales goal and come up with 4 different ways to reach that goal.  Can they hit the goal exactly?
• Research prices of items, but make sure the students find whole numbers.  (Many times ticket prices tend to be whole numbers).  Ask how much money the school would need to budget if the class went on a trip to that theater, sports game, or show.

FREE Solving Multi-Step Addition and Subtraction Word Problems Worksheets and Resources

These are all PDF Files. They will open and print easily. The Student Edition Files are labeled SE and the Teacher Editions Files are labeled TE. Click the links below to download the different resources.

2-4 Assignment SE – Solving Multi-Step Addition and Subtraction Word Problems 2-4 Assignment TE – Solving Multi-Step Addition and Subtraction Word Problems( Members Only ) 2-4 Bell Work SE – Solving Multi-Step Addition and Subtraction Word Problems (PDF) 2-4 Bell Work TE – Solving Multi-Step Addition and Subtraction Word Problems ( Members Only ) 2-4 Exit Quiz SE – Solving Multi-Step Addition and Subtraction Word Problems  (PDF) 2-4 Exit Quiz TE – Solving Multi-Step Addition and Subtraction Word Problems ( Members Only ) 2-4 Exit Quiz SE – Solving Multi-Step Addition and Subtraction Word Problems  (PDF) 2-4 Guided Notes TE – Solving Multi-Step Addition and Subtraction Word Problems ( Members Only ) 2-4 Interactive Notebook – Solving Multi-Step Addition and Subtraction Word Problems  (PDF) 2-4 Lesson Plan – Solving Multi-Step Addition and Subtraction Word Problems  (PDF) 2-4 Online Activities – Solving Multi-Step Addition and Subtraction Word Problems ( Members Only ) 2-4 Slide Show – Solving Multi-Step Addition and Subtraction Word Problems  (PDF)

Solving Multi-Step Addition and Subtraction Word Problems Worksheets and Resources

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2-4 Assignment Student Edition ( Doc – Members Only ) 2-4 Assignment Teacher Edition ( Doc – Members Only ) 2-4 Bell Work Student Edition ( Doc – Members Only ) 2-4 Bell Work Teacher Edition ( Doc – Members Only ) 2-4 Exit Quiz Student Edition ( Doc – Members Only ) 2-4 Exit Quiz Teacher Edition ( Doc – Members Only ) 2-4 Guided Notes Student Edition ( Doc – Members Only ) 2-4 Guided Notes Teacher Edition ( Doc – Members Only ) 2-4 Interactive Notebook ( Doc – Members Only ) 2-4 Lesson Plan ( Doc – Members Only ) 2-4 Online Activities ( Doc – Members Only ) 2-4 Slide Show ( PPT – Members Only )

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Don’t Forget to Pin this Activity on Multi-Step Addition and Subtraction Word Problems…

Want to see the rest of the activities for unit 2 – multi-digit whole number addition and subtraction.

• 2-1  Multi-Digit Whole Number Addition
• 2-2  Solving Two-Step Addition Word Problems
• 2-3  Multi-Digit Whole Number Subtraction
• 2-4  Solving Two-Step Subtraction Word Problems
• 2-5  Solving Multi-Step Addition and Subtraction Word Problems
• 2-6  Creating Word Problems Involving Addition and Subtraction

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Number Line

• \mathrm{Lauren's\:age\:is\:half\:of\:Joe's\:age.\:Emma\:is\:four\:years\:older\:than\:Joe.\:The\:sum\:of\:Lauren,\:Emma,\:and\:Joe's\:age\:is\:54.\:How\:old\:is\:Joe?}
• \mathrm{Kira\:went\:for\:a\:drive\:in\:her\:new\:car.\:She\:drove\:for\:142.5\:miles\:at\:a\:speed\:of\:57\:mph.\:For\:how\:many\:hours\:did\:she\:drive?}
• \mathrm{The\:sum\:of\:two\:numbers\:is\:249\:.\:Twice\:the\:larger\:number\:plus\:three\:times\:the\:smaller\:number\:is\:591\:.\:Find\:the\:numbers.}
• \mathrm{If\:2\:tacos\:and\:3\:drinks\:cost\:12\:and\:3\:tacos\:and\:2\:drinks\:cost\:13\:how\:much\:does\:a\:taco\:cost?}
• \mathrm{You\:deposit\:3000\:in\:an\:account\:earning\:2\%\:interest\:compounded\:monthly.\:How\:much\:will\:you\:have\:in\:the\:account\:in\:15\:years?}
• How do you solve word problems?
• To solve word problems start by reading the problem carefully and understanding what it's asking. Try underlining or highlighting key information, such as numbers and key words that indicate what operation is needed to perform. Translate the problem into mathematical expressions or equations, and use the information and equations generated to solve for the answer.
• How do you identify word problems in math?
• Word problems in math can be identified by the use of language that describes a situation or scenario. Word problems often use words and phrases which indicate that performing calculations is needed to find a solution. Additionally, word problems will often include specific information such as numbers, measurements, and units that needed to be used to solve the problem.
• Is there a calculator that can solve word problems?
• Symbolab is the best calculator for solving a wide range of word problems, including age problems, distance problems, cost problems, investments problems, number problems, and percent problems.
• What is an age problem?
• An age problem is a type of word problem in math that involves calculating the age of one or more people at a specific point in time. These problems often use phrases such as 'x years ago,' 'in y years,' or 'y years later,' which indicate that the problem is related to time and age.

word-problems-calculator

• Middle School Math Solutions – Equation Calculator Welcome to our new "Getting Started" math solutions series. Over the next few weeks, we'll be showing how Symbolab...

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Solving Word Problems involving Addition and Subtraction of numbers within 120 1st Grade Math Worksheets

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Solving word problems both rely the development of reading and language skills. Addition means “putting together” groups of objects and finding how many they are in total while subtraction tells “how many are left” or “how many more or less”.

Steps in Problem Solving:

• Identify the Problem. Understand what is asked.
• Encircle important numbers.
• Underline the keywords. Analyze if it is for addition or subtraction .
• Solve the problem.
• Present the answer.

Addition: in all, sum, total, more than, plus, altogether, increased by add

Subtraction: fewer, left, less than, take away, minus, difference, remain, decreased

There are 6 surfboards and the surfer bought another 8 pieces. How many surfboards are there in all?

There were 8 beach balls but 5 of them were damaged. How many beach balls were left?

8 – 5 = 3

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