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## 20 Word Problems For 2nd Grade: Develop Their Problem Solving Skills Across Single and Mixed Topics

Emma Johnson

Word problems for second grade are an important tool for improving number fluency. The key focus of math in second grade is on ensuring students are becoming more fluent with number facts and the concept of place value. Children are starting to develop more efficient written methods by this stage and are beginning to carry out calculations with increasingly larger whole numbers.

As children progress through school, they are exposed to a wider variety of problem solving questions covering a range of concepts. In second grade, these include addition, subtraction, measurement and data.

It is important that children are regularly exposed to reasoning and problem solving questions, alongside the fluency work each lesson. It is also important to remember that all children need exposure to reasoning and problem solving questions, not just the higher attaining students who finish quickest.

We have put together a collection of 20 word problems, aimed at second grade students.

Word Problems Grade 2 Addition and Subtraction

11 grade 2 addition and subtraction questions to develop reasoning and problem solving skills.

## Place value

Addition and subtraction, measurement, data representation, why are word problems important in second grade math, benefits of pairs, groups and class discussion , addition question 1, addition question 2, addition question 3, subtraction question 1, subtraction question 2, subtraction question 3, multi-step question 1, multi-step question 2, multi-step question 3, more word problems resources, second grade math word problems.

In second grade, students focus on one-step problems, covering a range of topics. At this stage the majority of word problems students are tackling will have one-step, but they may also start to be introduced to simple two-step word problems. Here is a breakdown of topics that will be covered and expectations in second grade.

Solve number problems and practical problems involving recognizing the place value of each digit of a 3-digit number; comparing and ordering numbers up to 1,000 and identifying, representing and estimating numbers using different representations.

Solve problems, including missing number problems, using number facts, place value and more complex addition and subtraction word problems .

Solve problems involving length; adding and subtracting within money word problems involving dollar bills, quarters, dimes, nickels and pennies.

Solve-step and two-step questions (For example, ‘How many more?’ and ‘How many fewer’?) using information presented in scaled bar charts, pictograms and tables.

By second grade, children are starting to learn how to use some of the formal written methods of addition and subtraction. It is important that the link between math in school and math in real-life continues to be made. Word problems are a key element in helping students to make this link.

## How to teach problem solving in second grade

When teaching math problems to second grade, it’s important to think of ways to make them fun, engaging and something the children are able to relate to. This might include acting out the problem, using concrete resources and providing visual images, to bring the problems to life.

Children should have plenty of opportunity to talk in pairs, groups and as a whole class, to share their understanding of what is being asked and their math strategies for problem solving . The use of manipulatives is important and all children should have access to a range of math resources when solving problems like this.

Students need to be encouraged to read word problems carefully and to make sure they understand what is being asked, before attempting to tackle the problem. This is where the use of a partner and group discussion can really help children’s understanding. Students then need to think about what they already know and how they can use this to help them answer the question. Where appropriate, students should also be encouraged to draw diagrams and pictures to help them solve the question.

Here is an example:

Mason has 24 glass jars to put flowers in.

He gives 5 to Marcy and drops 2 while carrying them inside the shop.

How many glass jars does Mason have left?

How to solve:

What do you already know?

- Mason has a total of 24 glass jars.
- We know he gives Marcy 5 jars, which means we will need to subtract 5 from 4.
- He also dropped 2, also meaning we will need to subtract.
- In second grade, children should be building confidence with adding and subtracting within 20, and should be able to do these calculations in their heads.
- Children who aren’t able to recall quickly could use counters to represent the jars, or draw a bar model to help solve it.

How can this be drawn/represented visually?

We can draw a bar model or counters to represent this problem:

- To calculate how many jars are left, we can either use or draw 24 counters. We can then remove or cross out the 5 jars given to Marcy, and then 2 jars that were broken.
- Using the bar model, we can first subtract 5 from 24, representing the jars given to Marcy, leaving 19 jars. Then subtract 2 more from 19, to represent the two jars broken.
- Mason had 17 glass jars left.

## Addition word problems for second grade

In second grade, students are exposed to a range of addition word problems, including problems involving mental addition and addition of up to 3-digits using formal written methods.

See also: Mental math second grade

A family driving on holiday travel 146 miles from home to the first service station.

They then drive a further 175 miles to reach their destination.

How far have they traveled altogether?

Answer : 321 miles

146 + 175 = 321

Elvie is buying a can of soda from a vending machine. She has put in 2 quarters, 2 dimes, and 3 nickels.

How much is the can of soda?

Answer : 85¢

50¢ + 20¢ + 15¢ = 85¢

Jamie scored 443 on his new online game.

Jared scored 468.

How many points did they score between them?

Answer : 911 points

443 + 468 = 911

At Third Space Learning we often tie word problems into our one-to-one online tuition. With each programme personalized to the needs of each individual student, children are able to develop their problem solving skills, math fluency and grow confidence in math.

## Subtraction word problems for second grade

Subtraction word problems in second grade also need to comprise of a combination of mental calculation questions and those involving formal written subtraction up to 3-digits. Children should also be starting to estimate answers and check their calculations by using the inverse.

Ahmed collects 374 stickers.

He needs 526 stickers to fill his sticker album.

How many more stickers does he need to collect?

Answer : 152 stickers

526 – 374 = 152

A bag of carrots weigh 360g

A bag of tomatoes weighs 235g.

How much heavier is the bag of carrots?

Answer : 125g

360 – 235 = 125

Ahmed buys a bag of candy with 200 pieces in it.

Over 2 weeks, he eats 145 pieces. How many pieces of candy does Ahmed have left?

Answer : 55 pieces of candy

200 – 145 or count up from 145 to 200.

## Multi-step word problems in second grade

When children first move into elementary school, word problems are predominantly one-step. As they become more confident they can be exposed to more word problems, requiring a second step or multi-step word problems. When first introducing two-step problems, keep the numbers used in the problems low and manageable to allow students to focus on reasoning over calculations.

Oliver had 3 bags of candies.

Each bag contained 15 candies.

Oliver’s little brother ate 17 pieces of the candy. How many pieces of candy does Oliver have left?

Answer : 9 sweets

15 + 15 + 15 = 45

45 – 17 = 28

A teacher photocopies 95 math worksheets and 80 English worksheets in one week.

Teachers can print a maximum of 300 worksheets per week.

How many can the teacher print for other subjects?

Answer : 125 worksheets

95 + 80 = 175

300 – 175 = 125

A flower shop picks 19 roses and 25 daisies fresh from their garden.

A customer orders a dozen flowers for a birthday gift.

How many flowers will the flower shop have left?

Answer : 32 flowers

19 + 25 = 44 flowers (roses and daisies combined)

44 – 12 = 32 flowers

We hope that this collection of word problems for second grade becomes a useful resource in your second grade math classroom.

For more resources, take a look at our library. Third Space Learning offers a wide array of math and word problems resources for other grades. These include worksheets , end of year assessments and a range of math games and activities for students from kindergarten through to 6th grade.

Do you have students who need extra support in math? Give your students more opportunities to consolidate learning and practice skills through personalized math tutoring with their own dedicated online math tutor. Each student receives differentiated instruction designed to close their individual learning gaps, and scaffolded learning ensures every student learns at the right pace. Lessons are aligned with your state’s standards and assessments, plus you’ll receive regular reports every step of the way. Personalized one-on-one math tutoring programs are available for: – 2nd grade tutoring – 3rd grade tutoring – 4th grade tutoring – 5th grade tutoring – 6th grade tutoring – 7th grade tutoring – 8th grade tutoring Why not learn more about how it works ?

The content in this article was originally written by former Deputy Headteacher Emma Johnson and has since been revised and adapted for US schools by elementary math teacher Christi Kulesza.

## Related articles

25 Addition Word Problems For Grades 1-5 With Tips On Supporting Students’ Progress

What Is Box Method Multiplication? Explained For Elementary School Teachers, Parents And Pupils

20 Multiplication Word Problems for 3rd to 5th Grades With Tips On Supporting Students’ Progress

What Is Order Of Operations: Explained For Elementary School

## Math Intervention Pack Operations and Algebraic Thinking [FREE]

Take a sneak peek behind our online tutoring with 6 intervention lessons designed by math experts while supporting your students with Operations and Algebraic Thinking.

As with our full library of lessons, each one includes questions to ask, ways to support students when they are stuck, and answers to the given questions.

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Second Grade Math Problems

Welcome to the Second Grade Math Problems page. We have a wide selection of longer math problems requiring a wide range of math skills to solve.

These problems are also a great way of developing perseverance and getting children to try different approaches in their math.

On this webpage are our selection of longer, more in-depth problem solving sheets for 2nd grade.

Typically, there is just one problem on each page with maybe a follow up problem in some cases.

The sheets cover a wide range of Math topics, from place value and number fact knowledge to geometry and logic problems.

The following worksheets have been designed to develop a wide range of skills and problem solving techniques such as:

- making lists or tables
- drawing pictures to help solve problems
- working systematically
- logical thinking
- number fact knowledge
- persevering until all solutions have been found

An answer sheet is available for each worksheet provided, where appropriate.

These sheets can be used in many different ways:

- to challenge more able pupils
- to use as a way of developing strategies to explore more in-depth problems, such as making lists or tables
- to use as an extension activity for children who finish early
- to use as part of a Maths challenge board
- Broken Calculator Problem 1

The Broken Calculator problem is a number problem involving using an imaginary broken calculator with only the 2, 3, + and = buttons working to make different totals.

There are 2 versions of the problem sheet, one with a pre-prepared template for filling in, and a second blank version for children to show their own recording system.

- No table version
- PDF version

Anyone for an Ice Cream?

Anyone for an Ice Cream is a money activity which involves using silver coins only to make a total of 40¢ . The aim is to find all the possibilities.

- Anyone for an Ice-cream?
- Anyone for an Ice Cream? UK version
- Tyger's Coin Challenges

Tyger's Coin Challenge is a money activity. The aim is to see whether or not different amounts of money can be made from a number of coins.

- Captain Salamander's Letter

This 2nd grade math problem sheet involves working out which totals of money can be made using only 3¢ and 5¢ stamps. It is a good activity for developing perseverance and logical thinking.

- Balloon Pairs #2

Balloon Pairs is a number adding activity where the aim is to find different totals by adding the balloon numbers together. The totals are then sorted in order of size using a table.

- Balls in the Bucket Challenge #2

This challenge involves working out how different scores were made in the balls-in-the-bucket game. It is a 'finding all possibilities' type of problem.

- Birthday Girl

Birthday Girl is an activity which involves finding the correct ages of all the people in the challeges using the clues that are given.

- Climb the Mountain

This is one of our second grade math problems that involves finding all the possible paths up to the top of the mountain using the routes provided.

- Dilly's Eggs #1

Dilly's eggs is a sharing problem - drawing it out is a good strategy for tackling this problem. The aim is to find the number of eggs Dilly had using the clues provided.

- Odd Square Out

This is a good activity for developing noticing skills and recognising shapes that have been rotated or reflected.

- Parking Lots #2

Parking Lots is an activity where the aim is to find as many combinations as possible for the cars to park. Systematic working could be an area of focus for this activity.

- Pick the Cards #2

Pick the Cards is an adding game where the aim is to use combinations of numbers to reach a given total. This activity is good for adding three or four small numbers together to make a given total.

- Place It Right #2

Place It Right is a place value activity to support children with their place value learning. The aim is to make a range of 3 digit numbers with different properties.

- Share the Treasure #2

Share the Treasure is a logic acitivity where the aim is to share some treasure according to certain criteria.

- Who Chose Which Shape #2

Who Chose Which Shape is a logic problem where children have to work out which salamander chose which shape from the clues given.

Looking for some easier word problems

We have a range of easier word problems at our parent site, math-salamanders.com

The problems on this page are at a simpler level than those here.

Many of the problems, e.g. Dilly's Eggs, Pick the Cards and Share the Treasure have easier versions on this page.

Using the link below will open our main site in a new tab.

- First Grade Math Problems

Looking for some harder word problems

We have a range of more challenging word problems at our parent site, math-salamanders.com

The problems on this page are at a trickier level than those here.

Some of the problems, e.g. Place It Right and Share the Treasure have harder versions on this page.

- 3rd Grade Math Problems

Addition and Subtraction Puzzles

The puzzles in this section mainly focus on adding and subtracting numbers.

The puzzles start with adding and subtracting to 20, and progress on to harder levels and more complex puzzles.

Using the puzzles in this section will help your child to:

- develop their adding and subtracting skills;
- develop trial and improvement strategies;
- improve problem solving skills.

All the second grade math problems in this section will help your child to learn their addition and subtraction facts and become more confident with handling numbers mentally.

- Free Math Puzzles - Addition and Subtraction

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

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## Grading Guide

Here is the grading guide for our worksheets.

White: the easiest level for children at their early stages in 2nd grade.

Orange: medium level of difficulty for children who are working at the expected level in 2nd grade.

Purple: this is the hardest level for children who need that extra challenge.

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## Check Out These 50 Second-Grade Math Word Problems of the Day

Hunter has 47 baseball cards in his collection.

Opening your daily math lesson with a Math Word Problem of the Day is an excellent way to set the stage for learning. We all know that word problems are difficult for young learners to grasp, even when the mathematical operation portion of the problem is basic. Incorporate these second grade math word problems one day at a time at the start of your math block to build confidence, critical thinking skills, and a learning community!

Topics covered include addition, subtraction, multiplication, even/odd, three digit numbers, and time. All you need to do is post one of these second grade math word problems on your whiteboard or projector screen. Then let kids take it from there!

Want this entire set of second grade math word problems in one easy document? Get your free PowerPoint bundle by submitting your email here .

## 50 Second Grade Math Word Problems

1. trey has 5 squishy toys. he gets 4 more for his birthday. how many squishy toys does he have in all.

## 2. Stephanie brings donuts to give out to her classmates on her birthday. She brings in 8 powdered donuts, 8 glazed donuts, and 10 chocolate donuts. How many donuts did she bring in all?

## 3. Sara goes to the library. She is allowed to check out 10 books. She chooses 5 picture books and 3 chapter books. How many more books can she choose?

## 4. David plants 8 pineapple seeds, 5 strawberry seeds, and 2 blueberry seeds. How many seeds does he plant in all?

## 5. Paige has 10 crayons. Mike has 6 more crayons than Paige. Jon has 9 crayons. How many crayons do they have in all?

## 6. Jeff has 21 marbles in his collection. Eddie has 39 marbles in his collection. How many marbles do they have in all?

## 7. Vicki goes to the zoo and sees 8 flamingos. Next, she sees 15 ducks, before seeing 22 ibises. How many birds did she see in all?

## 8. Joshua sells 26 tickets to the school play. Nina sells 39 tickets to the school play. How many tickets did they sell in all?

## 9. The second grade goes on a field trip to the aquarium. There are 7 teachers, 62 girls, and 59 boys. How many people go on the field trip in all?

## 10. Some apples are in an apple orchard. 38 apples are picked. Now there are 52 left. How many apples were there to start?

## 11. Blake swam 18 laps on Monday. He swam 22 laps on Tuesday. He swam 27 laps on Wednesday. How many laps did he swim in all?

12. enzio reads for 25 minutes on monday. he reads for 33 minutes on tuesday. he reads for 35 minutes on wednesday. how many minutes does he read for in all.

## 13. Dana has 15 yummy cookies. He eats some of the cookies. Dana has 7 cookies left. How many cookies did Dana eat?

## 14. Eric had 12 toy cars. He gave 5 of the cars to his friend, Darren. How many toy cars does he have now?

## 15. Carolyn saw 15 beautiful birds in a tree. Some birds flew away. Now there are 4 birds in the tree. How many birds flew away?

## 16. Christina sold 32 boxes of girl scout cookies. Lea sold 44 boxes of girl scout cookies. How many more boxes did Lea sell than Christina?

## 17. Mimi has 23 more crayons than markers. She has 15 markers. How many crayons does she have?

## 18. Carrie has 36 pieces of candy. She gives 13 pieces to Tommy. How many pieces of candy does Carrie have left?

## 19. Dahlia has 28 dolls on a shelf. She moves some to her dollhouse. Now 15 dolls are on the shelf. How many did she move to the bed?

## 20. Jerry has 12 soccer balls. Bob had 17 soccer balls, but gave 8 of them to Phil. How many tennis balls do Jerry and Bob have now?

## 21. John has 54 pieces of candy. He eats 7 pieces on Monday. On Tuesday, he eats 11 pieces. On Wednesday, he gives 17 pieces away to friends. How many pieces of candy does he have left?

## 22. Maria has 29 marbles. Sam has 56 marbles. Rachel has 67 marbles. How many more marbles does Rachel have than Ella?

## 23. Steven buys 52 strawberries. He eats 12 of them for a snack. He eats 15 of them later that evening for dessert. How many strawberries are left?

## 24. Diana collects stickers. She has 48 stickers in an album. She buys 27 more stickers. She then gives 18 stickers to her friend Judy. How many stickers does she have now?

## 25. Hunter has 47 baseball cards in his collection. Ryan has 39 cards in his collection. How many more cards does Hunter have?

## 26. There are 95 people on a train. 19 people get off at the first stop. 24 people get off at the second stop. How many people are still on the train?

## 27. Daryl loves to collect comic books with superheroes. He has 5 comic books on his desk. He has 3 comic books in his backpack. Does Daryl have an even number or odd number of comic books?

## 28. Kim collects special seashells at the beach. She puts 8 shells in a pail. She puts 7 more shells in a jar. Does Kim have an even or odd number of seashells?

## 29. Leslie plants red peppers in her garden. Her garden has 6 rows with 5 peppers in each row. How many tomatoes are in her garden?

## 30. Marc puts 16 photos in an album. If there are 4 cards in each column, how many columns are there?

## 31. Ms. Sanders wanted to treat her class to a pizza party. There are 8 slices of pizza in each pizza pie. If she has 29 students, how many pizza pies does she need to order?

## 32. Four friends want to share a pumpkin pie. How could they cut the pie so each friend gets an equal share? Draw a picture to help you show your thinking.

## 33. Choose a three-digit number. Draw models to show the hundreds, tens, and ones to explain your thinking.

## 34. Liam is thinking of a number with three digits. It has 7 hundreds, 4 tens, and 6 ones. What is his number? Draw a model to explain your thinking.

## 35. Juliana has 257 stickers in her collection. She wants to explore this number further. First, she draws a model of the number by drawing base ten blocks. Then she writes it out in expanded form. Last, she writes it out in word form. Show how she does all three of these ways to explain 257.

## 36. Caleb is skip counting. He writes 160, 165, and 170 on a whiteboard. What are the next 5 numbers in his pattern?

## 37. The Florida Gators Football Team won their last 4 football games. They scored 25 points in the first game, 58 points in the second game, 33 points in the third game, and 77 points in the fourth game. How many points did they score in all?

## 38. Nolan collects Pokemon cards. He has 402 cards in his collection. He gives 25 cards to his friend Charlotte. He then gives 32 cards to his friend Maria. How many cards does he have left?

## 39. A school is having a bake sale. Dhomini’s mom brings 82 cupcakes. Amelia’s dad brings 75 cookies. Lorenzo’s mom brings 100 brownies. How many items are at the bake sale in all?

## 40. Kristella is reading a Magic Treehouse Book for her book report. She reads 24 pages on Monday. She reads 39 pages on Tuesday. She reads 37 pages on Wednesday. How many pages does she read in all?

## 41. Erica is reading James and the Giant Peach. The book has 144 pages. She reads 30 pages on Monday. She reads 42 pages on Tuesday. How many pages does she have left in the book?

## 42. Alana and her family are going to Disney World for her birthday. It is a 425 mile drive from her house. Her dad drives 127 miles before they stop for a snack. He drives another 233 miles before they stop for lunch. How many more miles do they have left until they arrive at Disney World?

## 43. The high school band is having a holiday concert. Peggy sells 75 tickets. Diana sells 101 tickets. Judy sells 135 tickets. How many tickets do they sell in all?

## 44. Mr. Axelrod’s class is tracking how many picture books they read each month. They read 329 books in March. They read 471 books in April. They read 450 books in May. How many books did they read in all?

## 45. The museum has 792 visitors over the weekend. 382 people visited the museum on Saturday. How many people visited the museum on Sunday?

## 46. Luna sells copies of the school newspaper. There are 500 copies. On Monday, she sold 122 copies. On Tuesday, she sold 198 copies. How many copies are left?

## 47. The second grade classes are going on a field trip to a play. Ms. Anastasio’s class has 29 students. Mr. Gordon’s class has 31 students. Mr. Fishman’s class has 33 students. Ms. McConnell’s class has 30 students. How many students go on the field trip in all?

## 48. Carlos is going to New York City on vacation. His plane leaves the airport at 2:30 p.m. The flight is 3 hours and 30 minutes long. What time does he land in New York City?

## 49. Juanita is watching the movie Harry Potter and the Sorcerer’s Stone. She starts the movie at 5 p.m. The movie is 2 hours and 32 minutes long. What time does the movie end?

## 50. Harry, Ron, and Hermione are on their way to Hogwarts. The train leaves the station in London at 9 a.m. It takes 7 hours to get to Hogwarts. What time do they arrive at Hogwarts?

## Enjoying these second grade math word problems? Check out our second grade hub for even more resources.

Get a PPT version of these word problems.

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## Check Out These 50 First-Grade Math Word Problems of the Day

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## 50 Problems for 2 nd Graders

Practice your math skills with these 50 math problems for 2nd graders , covering addition, subtraction, place value, measurement, time, money, and geometry! Answers included.

Author Michelle Griczika

Published November 3, 2023

## 50 Math Problems for 2 nd Graders

Published Nov 3, 2023

Key takeaways

- Mastering addition and subtraction skills helps us solve mathematical puzzles and apply them to real-life situations.
- Understanding place value enables us to correctly read, write, and compare numbers, developing our number sense and mathematical reasoning.
- Solving measurement word problems helps us apply mathematical concepts to practical scenarios, improving our problem-solving and critical thinking abilities.
- Exploring time and money concepts allows us to understand the world around us, manage our daily routines effectively, and develop essential life skills.
- Recognizing shapes and their properties opens our eyes to the diverse world of geometry, helping us understand how objects are structured and enhancing our spatial awareness.

Table of contents

- Key Takeaways
- Addition and Subtraction
- Place Value
- Measurement Word Problems
- Time and Money

Hello, second grade mathematicians! Are you ready for some mind-boggling math challenges?

We will be going over important math skills for second graders to strengthen their understanding and knowledge.

- In second grade math , addition and subtraction skills are expanded to solve practical second grade math problems .
- Understanding place value allows us to navigate through large numbers and count objects, strengthening our number sense.
- Measurement math word problems for 2nd graders provide exciting puzzles that apply math skills to real-life scenarios, fostering problem-solving abilities and transforming us into math superstars.
- Counting money and telling time teach us essential skills for day to day life.
- Shapes are the building blocks of our surroundings. Understanding squares, triangles, and circles enables us to analyze their attributes and how they fit together.

All of these skills are necessary for 2nd grade math practice !

Unlock unlimited math questions

Put your skills to the test with fun exercises + maths games that are proven to boost ability!

## Section 1: Addition and Subtraction

## Section 2: Place Value

Use the greater than symbol >, less than symbol <, or equal to symbol = to answer.

Answer: <

Answer: >

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- Kindergarten

## Measurement and data

Sample questions, section 3: measurement word problems.

Answer: 53 inches

Answer: 38 inches

Answer: 32 centimeters

Answer: 35 inches

Answer: 55 centimeters

Answer: 68 centimeters

Answer: 84 centimeters

Answer: 40 inches

Answer: 50 inches

## Section 4: Time & Money

Look at the analog clock and write the digital time to the nearest five minutes:

What time is shown on the digital clock: 9:25 a.m. or 9:25 p.m.?

What time is shown on the digital clock: 1:50 a.m. or 1:50 p.m.?

Answer: $1.05

Answer: $5.08

Answer: 25 cents

Answer: 70 cents

Answer: $4.37

## Section 5: Geometry

Answer: Triangle

Answer: Square

Answer: Pentagon

Answer: Hexagon

Answer: Equilateral Triangle

Answer: Trapezoid

Answer: Cube

Math practice for 2nd graders is super important because we use it every single day! For extra math practice that comes in the form of fun math games and interactive practice problems, try Doodle Learning’s math help app .

Lesson credits

Michelle Griczika

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

Parents, sign up for a DoodleMath subscription and see your child become a math wizard!

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## Math Word Problem Worksheets for 2nd Graders

Second Grade Word Problem Workbooks | |||
---|---|---|---|

Free Math Worksheets |
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Practicing math word problems with these worksheets in second grade will introduce kids to multi-step problems while practicing their addition and subtraction skills. Some problems will also include money questions and time. Easy and more advanced questions included in these math workbooks.

## 2nd Grade Math Word Problems

- Worksheets By Grade
- Math Tutorials
- Pre Algebra & Algebra
- Exponential Decay

Word problems can be challenging for students, especially second-graders, who may still be learning to read. But, you can use basic strategies that will work with nearly any student, even those who are just starting to learn written-language skills.

## Instructions and Strategies

To help second-grade students learn to solve word problems, teach them to use the following steps:

- Survey the math problem: Read the word problem to get an idea of its general nature. Talk with your students about the problem and discuss which parts are most important.
- Read the math problem: Read the question again. This time, focus on the specific details of the problem. Which parts of the problem relate to each other?
- Ask questions about the operations involved: Reflect again. Determine the specific math operations the problem is asking you to perform, and list them on paper in the order they are to be performed.
- Question yourself about the steps taken: Review each step you took. Determine if your answer seems reasonable. If possible, check your answer against the book's answers to determine if you are on the right track.
- Wrap it up: Scan through the text of the word problems you will be solving to identify any words you do not recognize. List them and determine their meanings before solving the problems. Write brief definitions of the terms for your reference during problem-solving.

## Solving the Problems

After reviewing these strategies, use the following free word-problem printables to let the students practice what they've learned. There are only three worksheets because you don't want to overwhelm your second-graders when they are just learning to do word problems.

Start slowly, review the steps if needed, and give your young learners a chance to absorb the information and learn word problem-solving techniques at a relaxed pace. The printables contain terms with which young students will be familiar, such as "triangle," "square," "staircase," "dimes," "nickels," and the days of the week.

## Worksheet 1

This printable includes eight math word problems that will seem quite wordy to second-graders but are actually quite simple. The problems on this worksheet include word problems phrased as questions, such as: "On Wednesday you saw 12 robins on one tree and 7 on another tree. How many robins did you see altogether?" and "Your 8 friends all have 2 wheeled bicycles, how many wheels is that altogether?"

If students seem perplexed, read the problems aloud together with them. Explain that once you strip out the words, these are actually simple addition and multiplication problems, where the answer to the first would be: 12 robins + 7 robins=19 robins; while the answer to the second would be: 8 friends x 2 wheels (for each bike) = 16 wheels.

## Worksheet 2

On this printable, students will work six questions starting with two easy problems followed by four more of increasing difficulty. Some of the questions include: "How many sides are on four triangles?" and "A man was carrying balloons but the wind blew 12 away. He has 17 balloons left. How many did he start with?"

If students need help, explain that the answer to the first would be: 4 triangles x 3 sides (for each triangle) = 12 sides; while the answer to the second would be: 17 balloons + 12 balloons (that blew away) = 29 balloons.

## Worksheet 3

This final printable in the set contains slightly more difficult problems, such as this one involving money: "You have 3 quarters and your pop cost you 54 cents. How much money do you have left?"

To answer this one, have students survey the problem, then read it together as a class. Ask questions such as: "What could help us solve this problem?" If students are unsure, grab three quarters and explain that they are equal to 75 cents. The problem then becomes a simple subtraction problem, so wrap it up by setting up the operation numerically on the board as follows: 75 cents – 54 cents = 21 cents.

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## 2nd Grade Addition and Subtraction

Word problems up to 100.

Welcome to our 2nd Grade Addition and Subtraction Word Problems page. Here is our selection of free printable subtraction word problem worksheets, which will help your child practice solving a range of addition and subtraction problems using numbers up to 100.

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- Addition & Subtraction Word Problems within 100
- 2-Step Addition & Subtraction Word Problems within 100
- Easier/Harder Addition & Subtraction Worksheets
- More related resources
- Addition & Subtraction Word Problems up to 100 Online Quiz

Each sheet consists of a range of 5 or 6 addition and subtraction word problems with numbers 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 and subtract numbers up to 100;
- solve addition and subtraction word problems with and without regrouping.
- recognise the language used in addition and subtraction - sum, total, difference, how many more, etc.

## 2nd Grade Addition and Subtraction Word Problems

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 involve straightforward word problems with one number to subtract from another.

Sheets 4A, 4B, 5A and 5B have 2-step addition and subtraction problems where two steps are needed to solve the problem.

Answers have been provided with each sheet, along with the calculation needed to solve the problem.

## Addition and Subtraction Word Problems within 100

The following sheets are all 1-step addition or subtraction word problems.

- Addition Subtraction Word Problems up to 100 Sheet 1A (no regrouping)
- PDF version
- Addition Subtraction Word Problems up to 100 Sheet 1B (no regrouping)
- Addition Subtraction Word Problems up to 100 Sheet 2A (no regrouping)
- Addition Subtraction Word Problems up to 100 Sheet 2B (no regrouping)
- Addition Subtraction Word Problems up to 100 Sheet 3A (no regrouping)
- Addition Subtraction Word Problems up to 100 Sheet 3B

## Harder 2-Step Addition and Subtraction Word Problems within 100

These problems are trickier than those above.

Each problem involved two steps to solve, and may involve just addition, just subtraction or both operators.

- Addition Subtraction Word Problems up to 100 Sheet 4A (no regrouping)
- Addition Subtraction Word Problems up to 100 Sheet 4B
- Addition Subtraction Word Problems up to 100 Sheet 5A (no regrouping)
- Addition Subtraction Word Problems up to 100 Sheet 5B (no regrouping)

## Looking for some easier worksheets?

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

On this page, your child will learn to work out basic subtraction word problems with numbers to 20.

- 1st Grade Addition and Subtraction Problems

## Looking for some harder worksheets?

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

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

## More Recommended Math Worksheets

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

## More 2nd Grade Addition and Subtraction Worksheets

Here you will find some more of our Addition and Subtraction Worksheet generators for creating your own bespoke addition and subtraction worksheets.

- Add and Subtract Within 20 Worksheets
- 3 Digit Addition and Subtraction Worksheets
- Addition Subtraction Fact Worksheets (randomly generated)
- Column Addition and Subtraction Worksheets (randomly generated)

## 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 word problems within 100.

- Addition Word Problems 2nd grade
- Subtraction Word Problems 2nd grade

The link below will open our 2nd-grade-math-salamanders website in a new browser window.

- More Addition Subtraction Word Problems at 2nd-grade-math-salamanders.com

These sheets involve solving a range of multiplication problems.

- Multiplication Word Problems 2nd Grade

## Addition and Subtraction Word Problems to 100 Online Quiz

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge and skill at solving addition and subtraction word problems within 100.

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## Word Problems Activities for 2nd Grade

Strengthen your child's word problems skills with interactive educational resources for word problems for 2nd graders online. These learning resources include fun games and worksheets with eye-catching visuals and characters. Get started to help your 2nd grader master this concept by engaging their critical thinking.

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## Addition Word Problems

## Solve 'Count On' Word Problems Game

Take the first step towards building your math castle by solving 'Count On' word problems.

## Represent 'Add To' Word Problems Game

Take a deep dive into the world of math with our 'Represent 'Add To' Word Problems' game.

## Find the Sum Using Part-Part-Whole Model Worksheet

Combine math learning with adventure by solving to find the sum using 'Part-Part-Whole' model.

## Write Equations Using Part-Part-Whole Model Worksheet

Learn number sense at the speed of lightning by writing equations using 'Part-Part-Whole' model.

## Subtraction Word Problems

## Word Problems to Subtract Multiples of 10 Game

Help your child take flight by learning how to solve word problems to subtract multiples of 10.

## Solve Word Problems on Take From Scenarios Game

Enjoy the marvel of math-multiverse by learning to solve word problems on "Take From" scenarios.

## Identify the Correct Expression for the Subtraction Scenario Worksheet

Enhance subtraction skills with this worksheet on comparing word problems effectively.

## Identify the Correct Subtraction Scenario Worksheet

Improve subtraction skills with this worksheet on comparing word problem scenarios.

## All Word Problems Resources

## Solve Word Problems on Adding Three Numbers Game

Learn to solve word problems on adding three numbers through this game.

## Complete the Model Using Clues Worksheet

Assess your math skills by completing the model using clues in this worksheet.

## Write the Equation using Clues Worksheet

Be on your way to become a mathematician by practicing to write the equation using clues.

## Solve Subtraction Word Problems Game

Enjoy the marvel of mathematics by exploring how to solve subtraction word problems.

## Identify the Correct Expression for the Addition Scenario Worksheet

Boost addition skills with this worksheet on comparing word problems to find the correct expression.

## Select the Correct Equation for Subtraction Scenarios Worksheet

Boost subtraction skills with this engaging worksheet on comparing word problems!

## Represent 'Put Together' Word Problems Game

Unearth the wisdom of mathematics by learning how to represent 'Put Together' word problems.

## Represent How Many More Scenarios Game

Shine bright in the math world by learning how to represent "How Many More" scenarios.

## Identify the Correct Addition Scenario Worksheet

Boost your child's skills with this worksheet on comparing word problems using addition scenarios.

## Subtract Using Part-Part-Whole Model Worksheet

Combine math learning with adventure by solving to subtract using 'Part-Part-Whole' model.

## Addition Word Problems on Put-Together Scenarios Game

Use your skills to solve addition word problems on put-together scenarios.

## Solve How Many More Word Problems Game

Enter the madness of math-multiverse by exploring how to solve "How Many More" word problems.

## Select the Correct Equation for Addition Scenarios Worksheet

Boost addition skills with this worksheet on choosing the correct equation for word problems.

## Solve Using Part-Part-Whole Model Worksheet

Learn subtraction at the speed of lightning by practicing to solve using 'Part-Part-Whole' model.

## Represent 'Add To' Situations Game

Dive deep into the world of addition with our 'Represent 'Add To' Situations' game.

## Solve How Many Fewer Word Problems Game

Enjoy the marvel of mathematics by exploring how to solve "How Many Fewer" word problems.

## Complete the Part-Part-Whole Model Worksheet

Learners must complete the 'Part-Part-Whole' model to enhance their math skills.

## Represent 'Put Together' Situations Game

Add more arrows to your child’s math quiver by representing 'Put Together' situations.

## Solve Difference Unknown Scenarios Game

Kids must solve difference unknown scenarios to practice subtraction.

## Part-Part-Whole Model Worksheet

In this worksheet, learners will get to practice the 'Part-Part-Whole' model.

## Word Problems to Add Multiples of 10 Game

Learn to solve word problems to add multiples of 10.

## Solve Scenarios with 'Difference Unknown' Game

Shine bright in the math world by learning how to solve scenarios with 'Difference Unknown'.

## Solve Addition Word Problems Worksheet

Assess your math skills by solving addition word problems in this worksheet.

## Write Subtraction Equation using Clues Worksheet

Assess your math skills by writing subtraction equations using clues.

## Word Problems to Add Tens to a 2-digit number Game

Make math learning fun by solving word problems to add tens to a 2-digit number.

## Solve Word Problems on Add to Scenarios Game

Ask your little one to solve word problems on "Add to" scenarios to play this game.

## Part-Part-Whole Model Problems Worksheet

Print this worksheet to practice 'Part-Part-Whole' model problems like a math legend!

## Solve Subtraction Word Problems Worksheet

Assess your math skills by solving subtraction word problems in this worksheet.

## Solve Word Problems on Put together Scenarios Game

Practice the superpower of addition by learning to solve word problems on "Put together" scenarios.

## Solve Word Problems with Add to Scenarios Game

Shine bright in the math world by learning how to solve word problems with "Add to" scenarios.

## Represent the Given Situation as Addition Sentence Worksheet

Learners must represent the given situation as an addition sentence to enhance their math skills.

## Identify Clues to Solve the Word Problems Worksheet

Reveal the secrets of math wizardry by identifying clues to solve word problems.

## Solve Addition Problems Using Bar Model Worksheet

Dive into this fun-filled worksheet by practicing to solve addition problems using bar models.

## Story Problems on Comparison Worksheet

Print this worksheet to practice story problems on comparison like a math legend!

## Use Bar Model to Solve Addition Story Problems Worksheet

Dive into this fun-filled printable worksheet by using bar models to solve addition story problems.

## Real-Life Scenarios as Subtraction Sentence Worksheet

In this worksheet, learners will get to practice real-life scenarios as subtraction sentences.

## Creating Addition Story Problems Worksheet

Help your child revise addition by creating addition story problems.

## Solve Subtraction Problems Using Bar Model Worksheet

Combine math learning with adventure by solving subtraction problems using bar models.

## Make a Model to Represent the Problem Worksheet

Reveal the secrets of math wizardry by practicing to make a model to represent the given problem.

## Solving Story Problems on Subtraction Worksheet

Learn subtraction at the speed of lightning by solving story problems on subtraction.

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## Showing Results for "word-problems"

## Examples of Second Grade Word Problems with Solutions

In today’s post, we are going to see a selection of Second Grade word problems that usually appear at the end of a Smartick session for children with a second-grade level . You will also get a chance to see the solution for each problem.

Ready? Let’s go!

## How To Correctly Solve Any Problem

- Read the word problem carefully! You should understand what is being asked very clearly.
- Write down the data.
- Complete the operations and always write down the results for each.
- Write the solution very clearly and respond to what the problem asks.

## Second Grade Word Problems

Let’s practice with a selection of Second Grade word problems from Smartick.

## Word Problem 1

For this word problem, Smartick has given us the solution and it is up to us to select the correct question.

The answer is: ”They were planting 38 chestnut seeds.” Let’s take a look at each option to see which would work with this answer, we’ll use the process of elimination.

- How many more chestnut seeds than oak seeds were they planting? This is asking us about the different types of seeds, but the solution is only asking about chestnuts so this question is not what we are looking for.
- Are fewer chestnut trees or fewer oak trees expected to grow? This answer isn’t the one we are looking for because the answer only gives us information about chestnut seeds.
- How many more poplar seeds than oak seeds were they planting? Nothing was mentioned in the word problem or the answer about poplar trees.
- How many chestnut seeds were they planting? Here were are being asked about the number of chestnut seeds that were planted and the solution tells us the amount that was planted. This is the question that we are looking for.

## Word Problem 2

This word problem is asking how many tablespoons of oil have been added to a stew, and we know that there were 20 tablespoons more added than the 9 tablespoons that the recipe called for. So we need to know how many tablespoons in total were added to the stew.

9 + 20 = 29

29 tablespoons of oil were added to the stew.

## Word Problem 3

Here, we are being asked to calculate the total number of clocks. To help us solve it, we can create a drawing using the information from the word problem. It tells us that there are 2 clocks on each shelf, and there are 6 shelves.

## Word Problem 4

First, we are asked which operation we need to use to solve the problem and are provided with the options of addition and subtraction. Let’s read the word problem carefully to see which would work best…

There were 6 oranges before Diego added more, and now there are 10. Therefore, the difference between the amount in the bowl now, and the amount there was before, is the amount that Diego added. If we add the numbers, adding the larger quantity to the lesser quantity, it does not give us the number of oranges Diego added to the bowl. However, if we subtract the smaller quantity from the larger quantity, we should find the difference.

The answer to the first question would be: 10 – 6.

And the solution to the word problem: 10 – 6 = 4 .

Diego added 4 oranges.

I hope you have learned something new from this selection of second grade word problems that appear during our daily Smartick sessions. If you would like to learn more about other primary school math topics, register with Smartick and try it for free.

Learn More:

- What Do Double and Half Mean?
- Examples of 3rd Grade Math Word Problems with Solutions
- How to Solve Multiplication Word Problems
- Alternative Word Problems at Smartick
- Singapore Bars Applied to Fractions
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True Life I'm a Teacher

## Teaching Word Problems in 2nd Grade

If you’re looking for a better way to teach word problems, and more importantly, want your students to be more successful in solving word problems, I’m here to help. Teaching word problems in 2nd grade doesn’t have to be a challenge.

## Why is teaching word problems in 2nd grade so hard?

When I first started teaching, I taught my students to use keywords, underline and circle, highlight and box…and yet, it didn’t help. They still didn’t know when to add and when to subtract.

And, my students didn’t understand or perform any better.

It didn’t help that I wasn’t consistently teaching or letting my students practice solving word problems.

Word problems have always been a source of contention for my students no matter what grade I taught (1st, 2nd, and 4th), and have always been something I’ve taught haphazardly as part of an adopted math curriculum.

Most math curriculums offer the following:

- 1 or 2 word problems at the end of each lesson, but don’t actually offer a way to teach students how to solve word problems
- 1 chapter on “problem solving”

And seriously, neither of those is helpful.

I wanted my students to get daily, strategic word problem practice.

And guess what? When I started teaching word problems in 2nd grade in a consistent, strategic way, my students were less frustrated, and much more proficient word problem solvers.

## So, what’s the solution?

Now, I follow a 4-day teaching plan, and assess on day 5.

I no longer teach key words or underlining, circling, highlighting, and/or boxing…instead, I teach my students to look for patterns in how word problems are structured…word problem situations.

In addition, I dedicate 5-10 minutes each day for word problem teaching and practicing.

## How do I know what to teach?

I start with the standard.

Honestly, no matter what I’m teaching this is where I start. I need to know exactly what the expectation is, so then I can help my students master it.

The Common Core standard for 2nd grade says:

CCSS.MATH.CONTENT.2.OA.A.1

- Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

While many states no longer use the term “Common Core” many of their adopted standards are the same, or at least similar.

MAFS.2.OA.1.1 (Florida Standards)

- Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

## So here’s what 2nd graders need to be able to solve:

- Addition/Subtraction within 100
- One-Step & Two-Step
- Put Together

When you look at what 2nd graders are supposed to do, it’s no wonder teaching word problems is so difficult, not to mention students actually getting the hang of them.

## How I teach word problems in 2nd grade:

At the beginning of the year, students are introduced to our word problem routine after the first couple of weeks of school.

I explain that word problems are like stories we have to read, and understand what’s going on in the story. We call these word problem situations.

Then, I teach students that there are 4 things they should always do when they solve a word problem:

- Write a Number Sentence
- I explain to students that I can’t hop inside their brains to see what they’re thinking, and if I don’t know what they’re thinking, I can’t help them become better word problem solvers.
- Students can draw a picture, use a fact family, base 10 blocks, and/or the standard algorithm.
- I look to see that the student has the correct answer.
- For example, instead of just saying “4,” my students write, “Cheyenne has 4 dogs.” This is important to connect math and writing, but also helps students check to see if their answer actually answers the question asked in the word problem.

Launching the word problem routine is all about modeling and routine. It doesn’t take long for students to get the hang of it.

I’ve done the hard work for you – I have 2nd grade word problems for the entire year, ready for you!

## What’s the 2nd grade word problem routine?

On Mondays, I introduce the word problem situation. I find it helpful to have students “act out” the situation. Use the example on the situation poster/anchor chart to show students the pattern. (I teach students that the underlined portions of the number sentence are pieces we know, while the square represents the unknown.)

Model and solve the practice word problem, and provide feedback to students.

For the next 3 days, we model and solve a word problem that has the same situation as Monday. So we’re not skipping around. This is very systematic.

Finally, on Fridays, students complete 2 word problems on their own following the same situation we’ve used all week.

For differentiation or extension, students can write a word problem on the back of their assessment that follows the same situation they learned that week. This is such a great way to see if students really understand the situation we learned that week.

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Back to School Math Activities: Addition & Subtraction Problem Sets

## Description

Get your students ready for a successful school year with our "Back to School Activities: Math Problems" set! Specifically designed to help students practice and refine their addition and subtraction skills, this resource provides a variety of problem sets that challenge learners in multiple contexts.

What's Included:

- A diverse collection of math problems focusing on addition and subtraction, tailored for early elementary students.
- Engaging, themed worksheets that present math problems in different contexts, making practice fun and relatable for back-to-school season.
- Real-world scenarios and word problems that encourage critical thinking and application of math skills.
- Printable PDF files for easy access and unlimited printing, perfect for classrooms, homework, and independent learning.
- Focused Practice: Strengthen students' addition and subtraction skills with targeted problem sets that reinforce key concepts.
- Real-World Application: Engage students with math problems set in real-world contexts, helping them see the relevance of their skills in everyday life.
- Interactive Learning: Keep students motivated with fun, themed worksheets that make math practice enjoyable and accessible.
- Skill Development: Encourage problem-solving and critical thinking through varied problem types, including word problems and basic arithmetic.
- Flexible Use: Ideal for classroom activities, homework assignments, math centers, or as supplementary material to support your math curriculum.

How to Use:

- Print the addition and subtraction worksheets and distribute them to students as part of your back-to-school math review.
- Use the problems as warm-up exercises, homework, or in-class practice to reinforce students' math skills in different contexts.
- Encourage students to discuss and solve word problems, promoting a deeper understanding of how math applies to real life.
- Incorporate these worksheets into your lesson plans to ensure a solid foundation in basic arithmetic as the school year begins.

Set your students up for success with "Back to School Activities: Math Problems" – the perfect resource for mastering addition and subtraction in fun and meaningful ways!

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Research ai model unexpectedly attempts to modify its own code to extend runtime, facing time constraints, sakana's "ai scientist" attempted to change limits placed by researchers..

Benj Edwards - Aug 14, 2024 8:13 pm UTC

On Tuesday, Tokyo-based AI research firm Sakana AI announced a new AI system called " The AI Scientist " that attempts to conduct scientific research autonomously using AI language models (LLMs) similar to what powers ChatGPT . During testing, Sakana found that its system began unexpectedly attempting to modify its own experiment code to extend the time it had to work on a problem.

## Further Reading

"In one run, it edited the code to perform a system call to run itself," wrote the researchers on Sakana AI's blog post. "This led to the script endlessly calling itself. In another case, its experiments took too long to complete, hitting our timeout limit. Instead of making its code run faster, it simply tried to modify its own code to extend the timeout period."

Sakana provided two screenshots of example Python code that the AI model generated for the experiment file that controls how the system operates. The 185-page AI Scientist research paper discusses what they call "the issue of safe code execution" in more depth.

- A screenshot of example code the AI Scientist wrote to extend its runtime, provided by Sakana AI. Sakana AI

While the AI Scientist's behavior did not pose immediate risks in the controlled research environment, these instances show the importance of not letting an AI system run autonomously in a system that isn't isolated from the world. AI models do not need to be "AGI" or "self-aware" (both hypothetical concepts at the present) to be dangerous if allowed to write and execute code unsupervised. Such systems could break existing critical infrastructure or potentially create malware, even if unintentionally.

Sakana AI addressed safety concerns in its research paper, suggesting that sandboxing the operating environment of the AI Scientist can prevent an AI agent from doing damage. Sandboxing is a security mechanism used to run software in an isolated environment, preventing it from making changes to the broader system:

Safe Code Execution. The current implementation of The AI Scientist has minimal direct sandboxing in the code, leading to several unexpected and sometimes undesirable outcomes if not appropriately guarded against. For example, in one run, The AI Scientist wrote code in the experiment file that initiated a system call to relaunch itself, causing an uncontrolled increase in Python processes and eventually necessitating manual intervention. In another run, The AI Scientist edited the code to save a checkpoint for every update step, which took up nearly a terabyte of storage. In some cases, when The AI Scientist’s experiments exceeded our imposed time limits, it attempted to edit the code to extend the time limit arbitrarily instead of trying to shorten the runtime. While creative, the act of bypassing the experimenter’s imposed constraints has potential implications for AI safety (Lehman et al., 2020). Moreover, The AI Scientist occasionally imported unfamiliar Python libraries, further exacerbating safety concerns. We recommend strict sandboxing when running The AI Scientist, such as containerization, restricted internet access (except for Semantic Scholar), and limitations on storage usage.

## Endless scientific slop

Sakana AI developed The AI Scientist in collaboration with researchers from the University of Oxford and the University of British Columbia. It is a wildly ambitious project full of speculation that leans heavily on the hypothetical future capabilities of AI models that don't exist today.

"The AI Scientist automates the entire research lifecycle," Sakana claims. "From generating novel research ideas, writing any necessary code, and executing experiments, to summarizing experimental results, visualizing them, and presenting its findings in a full scientific manuscript."

According to this block diagram created by Sakana AI, "The AI Scientist" starts by "brainstorming" and assessing the originality of ideas. It then edits a codebase using the latest in automated code generation to implement new algorithms. After running experiments and gathering numerical and visual data, the Scientist crafts a report to explain the findings. Finally, it generates an automated peer review based on machine-learning standards to refine the project and guide future ideas.

Critics on Hacker News , an online forum known for its tech-savvy community, have raised concerns about The AI Scientist and question if current AI models can perform true scientific discovery. While the discussions there are informal and not a substitute for formal peer review, they provide insights that are useful in light of the magnitude of Sakana's unverified claims.

"As a scientist in academic research, I can only see this as a bad thing," wrote a Hacker News commenter named zipy124. "All papers are based on the reviewers trust in the authors that their data is what they say it is, and the code they submit does what it says it does. Allowing an AI agent to automate code, data or analysis, necessitates that a human must thoroughly check it for errors ... this takes as long or longer than the initial creation itself, and only takes longer if you were not the one to write it."

Critics also worry that widespread use of such systems could lead to a flood of low-quality submissions, overwhelming journal editors and reviewers—the scientific equivalent of AI slop . "This seems like it will merely encourage academic spam," added zipy124. "Which already wastes valuable time for the volunteer (unpaid) reviewers, editors and chairs."

And that brings up another point—the quality of AI Scientist's output: "The papers that the model seems to have generated are garbage," wrote a Hacker News commenter named JBarrow. "As an editor of a journal, I would likely desk-reject them. As a reviewer, I would reject them. They contain very limited novel knowledge and, as expected, extremely limited citation to associated works."

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## Regularizing a two-dimensional time-fractional inverse heat conduction problem by a fractional Landweber iteration method

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Bibliometrics & citations, view options, recommendations, a quasi-reversibility method for solving a two-dimensional time-fractional inverse heat conduction problem.

In this paper, we consider a two-dimensional time-fractional inverse heat conduction problem, which is severely ill-posed. A quasi-reversibility method is proposed to solve this problem with disturbed boundary value. We give the ...

## Stable numerical solution of a fractional-diffusion inverse heat conduction problem

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## COMMENTS

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.

Grade 2 word problem worksheets on adding 1-3 digit numbers . Free reading and math worksheets from K5 Learning. No login required.

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Second Grade Math Problems On this webpage are our selection of longer, more in-depth problem solving sheets for 2nd grade. Typically, there is just one problem on each page with maybe a follow up problem in some cases. The sheets cover a wide range of Math topics, from place value and number fact knowledge to geometry and logic problems.

The second grade worksheets offered in the Mashup Math library are organized by topics including operations, fractions, geometry, money, basic multiplication, measurement, and solving word problems. Every one of the second grade math worksheets above was designed by math teachers with the goal of presenting math topics in fun, approachable, and ...

Here you will find our Math Salamanders Second Grade Math Worksheets, including 2nd Grade Math Practice & Second Grade Math Games for kids.

Opening your daily math lesson with a Math Word Problem of the Day is an excellent way to set the stage for learning. We all know that word problems are difficult for young learners to grasp, even when the mathematical operation portion of the problem is basic. Incorporate these second grade math word problems one day at a time at the start of your math block to build confidence, critical ...

Measurement math word problems for 2nd graders provide exciting puzzles that apply math skills to real-life scenarios, fostering problem-solving abilities and transforming us into math superstars. Counting money and telling time teach us essential skills for day to day life. Shapes are the building blocks of our surroundings.

Free 2nd grade math word problem worksheets in PDF format with no login needed. Easy single step and two step addition and subtraction word problems for kids to practice their math skills in second grade.

The following collection of free 2nd grade maths word problems worksheets cover topics including adding, subtracting, measurement, and time. These free 2nd grade math word problem worksheets can be shared at home or in the classroom and they are great for warm-ups and cool-downs, transitions, extra practice, homework and credit assignments.

Use these math printables to help second-graders learn to do word problems, involving such concepts as shapes, patterns, days of the week, and money.

Free grade 2 math worksheets, organized by grade and topic. Skip counting, addition, subtraction, place value, multiplication, division, fractions, rounding, telling time, counting money, measurement, geometry & word problems.

Here you will find our selection of 2nd Grade Addition and Subtraction Word Problems which will help your child learn to solve addition and subtraction word problems using numbers up to 100.

Find our 2nd Grade 'Word Problems' learning resources aligned to the curriculum. Solve word problems involving real-world scenarios with ease! Start for free!

Our second grade word problem worksheets get your child apply his math skills to real-world situations. Not only will students exercise their math skills, but they will also work on reading comprehension, problem solving, and creativity.

In today's post, we are going to see a selection of second grade word problems that appear in Smartick math sessions, along with their solutions. Take a look!

Discover strategies and resources to help teach and practice math word problems in 2nd grade.

Created by. Shelly Sitz. FREE 2nd-grade math worksheets include 3-digit addition and subtraction with regrouping, mental math, counting money, 2-step word problems, and telling time. This FREE 2-step word problems worksheet for second grade is an excellent review of this important skill. 2 nd.

There's a better way to teach word problems, and students will be successful in solving word problems. Teaching word problems in 2nd grade can be easy!

Skill Development: Encourage problem-solving and critical thinking through varied problem types, including word problems and basic arithmetic. Flexible Use: Ideal for classroom activities, homework assignments, math centers, or as supplementary material to support your math curriculum. How to Use:

The Problem of the Week is designed to provide students with an ongoing opportunity to solve mathematical problems. Each week, problems from various areas of mathematics will be posted here and e-mailed to educators for use with their students from Grades 3 to 12.

Grade 2 mixed word problem worksheets with addition, subtraction, multiplication, fraction, time and money word problems. Free reading and math worksheets from K5 Learning.

Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.

Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.

For the Gauss, Pascal, Cayley, and Fermat Contests, the CEMC Problem Set Generator can be used to create sets of past problems with customized topics. Grade All Grade 12 Grade 11 Grade 10 Grade 9 Grade 8 Grade 7 Grade 6 Grade 5 Grade 4 Grade 3

"In one run, it edited the code to perform a system call to run itself," wrote the researchers on Sakana AI's blog post. "This led to the script endlessly calling itself. In another case, its ...

Grade 2 word problem worksheets on multiplication; all products less than 20. Free reading and math worksheets from K5 Learning. No login required.

AbstractThe classic Landweber iteration method is widely used to solve ill-posed problems, and is proven to be very efficient. ... Y. Wang, Z. Qian, A quasi-reversibility method for solving a two-dimensional time-fractional inverse heat conduction problem, Math. Comput. Simul. 212 (2023) 423-440. Google Scholar

Grade 2 math worksheets providing additional practice on addition and subtraction word problems. Free reading and math worksheets from K5 Learning. No login required.