problem solving addition worksheets for grade 1

Addition Worksheets for 1st Graders

These addition worksheets start with teaching kids how to add single digits. There is no regrouping in those worksheets so kids will quickly build their math fact addition fluency. They will still be challenged with the pages that include a missing addend, and that is a great way to get them ready for subtraction. Then introduce them to adding more significant numbers, tens, and finally regrouping addition. Some kids may need extra practice addition worksheets, while other kids excel. For those kids advancing, try the more challenging sheets.

Addition Worksheets Grade 1

Practice addition with your first-grade students and children using worksheets, printables, and activities.

The addition problems on these pages include an addition to 20 with and without regrouping. Plus adding two-digit numbers up to 100. You will also find worksheets with pictures, number lines, missing addends, and more.

And make sure to explore all the first grade math worksheets from Planes&Balloons!

Addition Worksheets For First Grade

Start with the picture addition worksheets and move up to adding two-digit numbers and multiples of ten.

addition worksheets for grade 1 pdf

More addition worksheets for first grade here:

Addition worksheets for grade 1 free

And take a look at more of the addition worksheets here:

Addition Word Problem Worksheets

Related Pages Math Worksheets Lessons for First Grade Free Printable Worksheets

Printable Addition/Subtraction Word Problem Worksheets for 1st Grade: Subtraction Word Problems

Addition Word Problems Addition/Subtraction Word Problems

Missing Addend Word Problems

Solving addition word problems in grade 1 involves several steps to help students understand the problem, identify the relevant information, and perform the addition operation.

• Read the Problem Aloud: Start by reading the word problem aloud to the students. Encourage them to listen carefully and focus on understanding the scenario.
• Identify Key Information: Ask students to identify the key information in the problem. What are the numbers, objects, or quantities mentioned? What operation is involved (addition)?
• Use Visuals: If possible, provide visual aids or drawings that represent the information in the word problem. This helps students visualize the situation.
• Understand the Question: Ensure that students understand what the problem is asking. Are they being asked to find the total, the difference, or some other information?
• Choose an Addition Strategy: Discuss different addition strategies suitable for grade 1, such as counting on fingers, using a number line, or drawing pictures to represent the problem.
• Write a Number Sentence: Help students translate the information into a number sentence or equation. Use symbols such as “+” for addition.
• Solve the Problem: Encourage students to solve the problem using the chosen addition strategy. Guide them through the steps and support them if needed.
• Check the Answer: After finding a solution, ask students to check their answer. Does it make sense in the context of the problem? Is it reasonable?

Solving addition word problems in grade 1 involves a combination of reading comprehension, mathematical reasoning, and basic addition skills. By guiding students through these steps and providing ample practice, they can develop a strong foundation in problem-solving and mathematical thinking.

Click on the following worksheet to get a printable pdf document. Scroll down the page for more Addition Word Problem Worksheets.

More Addition Word Problem Worksheets

(These worksheets are printable files with answers on the second page.) Addition Word Problem Worksheet #1 Addition Word Problem Worksheet #2

Related Worksheets

Solve Addition Word Problems using Tape Diagrams

Addition within 10 (eg. 3 + 5) Addition within 20 (eg. 6 + 8)

Mixed Single Digit Addition Missing Addend (sums < 10) (eg. __ + 5 = 7) Missing Addend Word Problems (eg. 8 + __ = 17)

More Free Printable Worksheets

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1st Grade Addition and Subtraction Word Problems up to 20

Welcome to our 1st Grade Addition and Subtraction Word Problems. Here you will find a wide range of mixed addition and subtraction worksheets, which will help your child practice solving a range of addition and subtraction word problems using numbers up to 20.

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• Addition & Subtraction Word Problems up to 10
• Addition & Subtraction Word Problems up to 15
• Addition & Subtraction Word Problems up to 20
• Easier/Harder Addition Worksheets
• More related resources
• Addition & Subtraction Word Problems up to 20 Online Quiz

1st Grade Addition and Subtraction

Word problems up to 20.

Each sheet consists of a set of 5 or 6 mixed addition and subtraction word problems with numbers up to 20.

There is a space on each sheet for working out, using whichever method is preferred.

There are also UK versions of some of the worksheets which use pounds (£) instead of dollars($).

Using these sheets will help your child to:

• recognise addition and subtraction word problems;
• add and subtract with numbers up to 10, 15 or 20.
• recognise the language used for addition and subtraction;

1st Grade Addition and Subtraction Word Problems up to 10

• Addition Subtraction Word Problem to 10 Sheet 1
• PDF version
• Addition Subtraction Word Problem to 10 Sheet 2
• Addition Subtraction Word Problem to 10 Sheet 3

1st Grade Addition and Subtraction Word Problems up to 15

• Addition Subtraction Word Problem to 15 Sheet 1
• Addition Subtraction Word Problem to 15 Sheet 2
• UK Version Sheet 2
• UK PDF version
• Addition Subtraction Word Problem to 15 Sheet 3

First Grade Addition and Subtraction Word Problems up to 20

• Addition Subtraction Word Problem to 20 Sheet 1
• Addition Subtraction Word Problem to 20 Sheet 2
• Addition Subtraction Word Problem to 20 Sheet 3

Looking for some easier worksheets?

Take a look at our Addition sentences to 12.

On this page, your child will learn to work out basic addition sums up to 12 by counting objects.

• Addition Sentences to 12
• Subtraction Facts to 12
• First Grade Addition and Subtraction to 12

Looking for some harder worksheets?

Take a look at our 1st Grade Addition facts Worksheets page with numbers up to 12+12.

On this page, your child will learn to work out basic addition sums to 12+12.

• 2nd Grade Addition and Subtraction Word Problems
• Math Addition Facts to 20
• Subtraction Facts to 20 Worksheets

More Recommended Math Worksheets

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

More First Grade Addition and Subtraction Worksheets

Here you will find some more of our 1st Grade Addition Worksheets.

Using these sheets will help your child learn to:

• Addition Fact Practice to 12
• Adding tens
• 2 Digit Addition Worksheets With Regrouping
• Subtracting tens
• Two Digit Subtraction Worksheets Without Regrouping
• 2 Digit Subtraction Worksheets With Regrouping

1st Grade Math Word Problems

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

Using these first grade math worksheets will help your child to:

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

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

• Math Problems for Children 1st Grade
• 1st Grade Subtraction Word Problems

Longer Math Problems

• First Grade Math Problems

Addition & Subtraction Word Problems to 20 Online Quiz

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This quick quiz tests your knowledge and skill at solving addition and subtraction word problems within 20.

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Addition Word Problems Worksheet

First graders can practice decoding addition word problems into algebraic equations with this free printable worksheet. They are asked to add three whole numbers whose sum is less than 20 in order to solve simple math problems. It’s an easy way for children to build their critical thinking skills.

1.OA.A.2 - Common Core ID

Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem. Understand and apply properties of operations and the relationship between addition and subtraction.

There are multiple ways to get this addition worksheet.

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Addition word problems (single digits)

Word problems: simple addition.

These grade 1 math worksheets have word problems involving the addition of single digit numbers.  All sums are less than 18.  Some problems will include irrelevant data so that students have to read and understand the questions, rather than simply recognizing a pattern to the solutions.

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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.

• Download the set

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

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1st Grade Addition Worksheets

Addition worksheets for grade 1 help students master basic math skills. Students can strengthen their concepts and get an in-depth understanding of the topic by using these 1st grade addition worksheets. The initial focus is on counting numbers which gradually moves to add the numbers together.

Benefits of 1st Grade Addition Worksheets

Grade 1 addition worksheets are an overall guide for teaching the students the basic facts of addition. These 1st grade math worksheets act as the best resources for students to practice and solve problems at their own pace and benefit from it as and when they move forward. One of the main benefits of first grade addition worksheets is that it ensures students not only learn to add two numbers together but also learn the concept of carrying forward in two-digit numbers.

☛ Practice: Grade 1 Addition Interactive Worksheets

Printable PDF for Grade 1 Addition Worksheets

Students can download the pdf format of the addition worksheets for grade 1 at any point in time to practice addition questions.

Interactive Addition Worksheets for Grade 1

• Adding 2 Digit Numbers Worksheets 1st Grade
• Addition Worksheets for 1st Graders using Objects
• Adding Numbers using 20 Frame Worksheet for Grade 1
• Addition Using Number Line Grade 1 Math Worksheet
• 1st Grade Math Addition Worksheet

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1. is 1st grade addition worksheets pdfs are free to download.

Yes. Cuemath Provides free PDFs for all Worksheets.

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Yes. students can print these worksheets for free.

• 1st Grade Math Worksheets
• Basic addition skills

Single-digit addition worksheets for Grade 1: Free printable resources

If you are looking for free printable resources to help your 1st Grade students master single-digit addition, you have come to the right place! On this page, we will share some of the best of MathSkills4Kids.com 1-digit or single-digit addition worksheets for Grade 1 that you can download and print for your home or classroom use.

We will also give you some tips and tricks on how to choose, use, and make these worksheets fun and engaging for your young learners.

Single-digit addition for first graders: Worksheets and everything you need to know to help your child master this skill

Are you looking for top tips and strategies to embed single-digit addition to first graders ? If yes! Then we have the best worksheets and everything you need to know to help your child master this skill .

As single-digit addition is the first step in mastering advanced addition skills , we have made our worksheets and other activities fun and interactive. In this way, kids will build a strong foundation in addition and enhance their speed in doing simple addition , an important skill that will help them throughout their lives.

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Why are single-digit addition worksheets essential for grade 1 students?

Learning single-digit addition can be challenging for some students, especially if they have not mastered counting and number recognition skills . That's why single-digit addition worksheets are essential for grade 1 students .

They provide structured and systematic practice that helps students reinforce their understanding of 1-digit addition concepts and strategies. They also offer immediate feedback and self-correction opportunities that help students identify and fix their errors.

Single-digit addition is one of the foundational skills that students need to learn in grade 1 math. It helps them develop number sense, mental math strategies, and problem-solving skills. By practicing single-digit addition regularly, students can add larger numbers easily and confidently in the future.

How to choose the best single-digit addition worksheets for your child

Many 1-digit addition worksheets are available online, but not all are created equal. Some worksheets may be too easy or too hard for your child's level, while others may be too boring or too cluttered for your child's attention span. How do you choose the best single-digit addition worksheets for your child?

Here are some criteria that you should consider when choosing single-digit addition worksheets for your child:

The worksheets should match your child's skill level and learning goals. For example;

If your child is starting to learn single-digit addition, you should choose worksheets that focus on adding 0 or 1. If your child is ready for more challenges, you can choose worksheets that involve adding 2 or more digits.

The worksheets should have clear instructions and examples that show your child how to solve the problems. For example;

If your child is learning how to add using a number line , the worksheet should have a number line with arrows and labels that guide your child through the steps.

The worksheets should have various problems that test your child's understanding and application of single-digit addition. For example;

The worksheet should have problems that require your child to add horizontally, vertically, in word problems, in equations, etc.

The worksheets should have an appropriate amount of problems that can fit your child's attention span and stamina. For example;

If your child can only focus for 10 minutes, you should choose worksheets with 10 or fewer problems per page.

• The worksheets should have an attractive and appealing design that motivates your child to complete them. For example;

The worksheet should have colorful graphics, fun themes, cute characters, etc.

To help you choose the best single-digit addition worksheets for your child, we have created a series that covers adding 0 to adding 9. Each worksheet has 10 problems that follow the criteria mentioned above.

You can download them for free by clicking the links below the images above.

How to use single-digit addition worksheets effectively in your home or classroom

Once you have chosen the best single-digit addition worksheets for your child, you must know how to use them effectively in your home or classroom .

Here are some tips and tricks on how to do that:

Before giving your child a worksheet, review the concept and strategy of single-digit addition. You can use manipulatives, such as counters, blocks, or fingers, to show them how to add two numbers together .

You can also use visual aids, such as charts, posters, or flashcards, to remind them of the rules and steps of single-digit addition .

During giving your child a worksheet, monitor their progress and provide guidance and feedback as needed. You can check their answers as they go along and praise them for their correct answers.

You can also correct their mistakes and explain why they are wrong.

You can also ask them questions that prompt them to think deeper about single-digit addition, such as "How did you get this answer?" or "Can you think of another way to solve this problem?" After giving your child a worksheet, review their work and celebrate their achievements.

You can review their answers with them and point out their strengths and areas of improvement. You can also reward them with stickers, stamps, certificates, or other incentives for completing the worksheet.

Tips and tricks to make single-digit addition worksheets fun and engaging

Single-digit addition worksheets can be fun and engaging if you know how to spice them up. Here are some tips and tricks on how to do that:

You can also give them bonus points for solving specific problems correctly or quickly. You can also hide some clues or prizes under some problems that they have to uncover by solving them.

You can also create characters that need help from your child to solve the problems or advise them on how to solve them.

You can also ask your child to create their own problems or solutions based on their own experiences or imagination.

Where to find more free printable resources for single-digit addition worksheets

You are in luck if you are looking for more free printable resources for single-digit addition worksheets!

Many websites offer a wide range of high-quality and engaging single-digit addition worksheets for grade 1 students.

Here are some of my favorites:

• Math Worksheets 4 Kids : This website has hundreds of single-digit addition worksheets that cover different skills, strategies, and formats. You can also find answer keys, worksheet generators, and interactive games.
• Education.com : This website has dozens of single-digit addition worksheets featuring colorful graphics, fun themes, and cute characters. You can also find lesson plans, activities, and games.
• K5 Learning : This website has dozens of single-digit addition worksheets focusing on adding within 10, 20, or 100. You can also find assessments, videos, and online exercises.

Thank you for sharing the links of MathSkills4Kids.com with your loved ones. Your choice is greatly appreciated.

We hope you found this article helpful and informative. Single-digit addition is an essential skill that every grade 1 student should master.

With these free printable resources, tips, and tricks, you can help your child learn single-digit addition in a fun and effective way.

Happy adding!

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Free Printable Addition Worksheets for 1st Grade

Addition-focused math worksheets for Grade 1 students, created to help educators discover effective ways to teach basic arithmetic. Download and print these free resources to enhance your lessons.

Recommended Topics for you

• Multi-Digit Addition
• Addition Facts
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Explore printable Addition worksheets for 1st Grade

Addition worksheets for Grade 1 are an essential resource for teachers looking to enhance their students' math skills at an early age. These worksheets provide a variety of engaging and interactive activities that help young learners grasp the concept of addition with ease. With a range of difficulty levels, teachers can easily cater to the diverse needs of their students, ensuring that each child is challenged and supported in their learning journey. By incorporating these worksheets into their lesson plans, teachers can effectively build a strong foundation in math for their Grade 1 students, setting them up for success in future grades. In addition to being a valuable teaching tool, these worksheets also serve as a means of tracking progress and identifying areas for improvement, making them an indispensable resource for any Grade 1 math teacher.

Quizizz is a fantastic platform that offers a wide range of resources for teachers, including addition worksheets for Grade 1 and other math-related materials. This interactive platform allows teachers to create engaging quizzes and games that can be used in conjunction with worksheets to reinforce learning and make math more enjoyable for young students. With Quizizz, teachers can easily monitor their students' progress and identify areas where additional support may be needed. Furthermore, the platform offers a wealth of resources for other subjects, making it a one-stop-shop for teachers in search of high-quality, engaging materials for their classroom. By utilizing Quizizz in conjunction with addition worksheets for Grade 1, teachers can ensure that their students develop a strong foundation in math while also fostering a love for learning.

Grade 1 Word Problems

Grade 1 word problems to help your students apply their understanding in maths. Word problems are the perfect test for children. It’s one thing being able to solve equations, but it’s a whole new level when you can apply your understanding in real world situations. Use these addition and subtraction word problem worksheets to help your students practice. They even get to draw math pictures!  Simply click on the images below to download. To keep up to date with quality resources, follow my TpT store!

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Need mental maths worksheets? Check out these resources. They’re a great wat to get your students working on mental maths daily. No prep needed, just print and go!

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Addition Word Problem Worksheets For Grade 1

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28 Math Problems For 2nd Graders With Answers & Teaching Ideas

Melanie Doppler

Math problems for 2nd graders bridge lower elementary and upper elementary math concepts. 2nd grade math problems focus on solidifying an understanding of place value and applying this to more complex addition and subtraction problems.

This blog post looks at the key areas for 2nd grade math problems including place value, measurement, geometry and math word problems. It aims to provide teachers with math problems, solutions and strategies for teaching 2nd grade math.

What are math problems for 2nd graders? 

Math problems for 2nd graders are a type of math question designed specifically for 7-8-year-old children. They include a variety of concepts across four domains of common core math standards:

• Operations and Algebraic Thinking 
• Number and Operations in Base Ten 
• Measurement and Data 
• Geometry 

Within these domains, second grade math problems include the following 2nd grade math concepts:

• Addition and subtraction (2-digit numbers within 100) with and without regrouping
• Place value (3-digit numbers up to 1,000)
• Measurement problem solving
• Counting money

Reading digital and analog clocks

• Basic fractions
• Bar graphs and picture graphs

Each concept builds on skills that students learned in kindergarten and 1st grade.

14 Fun Math Games and Activities Pack for 2nd Grade

14 fun math games and activities for 2nd grade students to complete independently or with a partner. All activities are ready to go with no prep needed. Perfect for ‘fast finishers’ or morning work.

Math problems for 2nd graders: Math curriculum 

Second grade math is an integral part of the K-5 math progression. In kindergarten and first grade, students use knowledge of counting to learn the meaning of addition and subtraction. 

Students use hands-on math manipulatives to build understanding, solve problems and build addition and subtraction fluency within 10. They are introduced to basic math word problems and learn that math is part of the real world. 

By second grade, students are expected to have efficient problem-solving strategies for addition and subtraction within 20. Building on this foundation, 2nd graders use their knowledge of smaller addition and subtraction problems to help them solve problems with larger two-digit numbers. 

Students may use math tools and visual models to learn more abstract and efficient math problem-solving strategies . This problem solving progression of concrete representational abstract is important at every grade level when learning new math concepts. 

Second grade allows students to explore new math skills such as:

• Extend understanding of base ten to compare larger numbers up to 1,000
• Develop fluency with addition and subtraction within 100
• Describe, analyze, and partition shapes
• Understand measurement units
• Represent data using bar graphs 

These 2nd grade math skills are the foundation for 3rd grade math. They help students secure their understanding of place value and apply their knowledge to larger addition and subtraction problems. 

Developing knowledge of these math concepts also prepares children to learn multiplication and division skills in 3rd grade. 

Math problems for 2nd graders with solutions

The following is a collection of math problems for 2nd graders organized by skill. Each problem includes an answer key, and an explanation of how to answer the math question. 

Addition and subtraction (2-digit numbers)

Beginning in kindergarten children learn models for solving addition and subtraction problems. In 2nd grade, students apply this understanding to solve larger problems with two-digit numbers. 

Sometimes, these problems include regrouping (or renaming), for example, exchanging one ten for ten ones or vice versa. This is a challenging idea for students, so base-ten visual models are important when teaching this new concept.  

Second graders also solve addition and subtraction word problems that are more difficult than the word problems they solved in first grade. 

28 + 32 = _____

2nd graders learn that ten ones make one ten. In this problem, students must see that 8 + 2 = 10 which means one ten goes in the tens place and there aren’t any ones remaining in the ones place. 

Using a base-ten block model is a helpful way to show what is happening in this problem. Alternatively, students may break down both numbers using place value. 

74 – 61 = _____

Students can solve this problem using the traditional digit subtraction method. However, since the numbers are relatively close, they could also count on from 61 on a number line to find the difference between 74 and 61. 

18 + _____ = 30

This problem is designed as a missing addend problem. To solve this problem, students must use a subtraction strategy to find the difference between 30 and 18. 

Missing addend problems help students connect subtraction to addition and encourage them to add on from the lower number. 

In this case, students could subtract using the traditional standard algorithm, however, they would need to rename 30 ones as 2 tens and 10 ones. You can support this new concept in 2nd grade with base ten blocks . Adding on from 18 is likely more efficient for this particular problem. 

Additionally, the unknown being to the left of the equal sign could confuse students so it is important to emphasize the meaning of the equal sign to prevent this misconception.

Nadia had 24 white flowers and 19 yellow flowers growing in her garden. How many flowers did Nadia grow in her garden in total?

Answer: 43 total flowers

Drawing a visual model or using a story problem graphic organizer are great ways to build understanding of math word problems. 

This problem is a part-part-whole problem so a bar model or tape diagram is a great way to visualize the unknown in the problem. Then students can use an addition strategy such as breaking apart one addend to solve. 

Question 5 

There were 56 people at the swimming pool. 23 people left the pool after lunch. How many people were still at the pool after lunch? 

Answer: 33 people remained at the pool 

This is a traditional separate, result unknown problem. Because there is the action of 23 people leaving, it is easier for students to visualize the subtraction. 

The traditional standard algorithm is a good method to solve this problem without any regrouping. Students can use base ten blocks to support their understanding as needed. 

Addition and subtraction common misconceptions

Two-digit addition and subtraction introduces the added challenge of regrouping. Students often need support deciding which number needs to be regrouped. 

Additionally, students often rush to using an algorithm before they have a foundation of conceptual understanding. For example, when solving 30-17, children need to be able to take one group of 10 from the 3 groups of 10 in the number 30 to use in the ones place to find the missing addend. Then they can subtract 10-7 and the remaining 2 tens – 1 ten. 

Teachers can support children with this by using a base-ten visual model with blocks or a drawing. Educators can also encourage learners to try other strategies such as breaking apart the subtrahend. Breaking 17 apart into 10 and 7 allows students to subtract first, 30 – 10, and then subtract the remaining 20 – 7. They can use base ten blocks or a number line to support problem solving. 

Place value (3-digit numbers)

Prior to second grade, students learn place value concepts such as the meaning of the tens-place and the ones-place in the base ten number system. They use visual models such as base ten blocks and place value charts to help understand the complex concept. 

In second grade, students expand their knowledge and learn the meaning and value of the hundred and thousand places in the number system. With a secure understanding of this, second graders can then learn to compare three-digit numbers numbers up to 1,000. 

Students in 2nd grade use the expanded form to represent three-digit numbers to show the meaning of each digit in the number. 

On Saturday, 346 people went to the carnival. On Sunday, 432 went to the carnival. On which day did more people go to the carnival? 

Answer: On Sunday more people went to the carnival because 432 is greater than 346

Students can solve this problem by breaking down the numbers by place value, or by writing them in a place value chart and comparing starting with the largest place value first. Learners will notice 4 hundreds is more than 3 hundreds so 432 is greater than 346.

Compare the following two numbers using the greater than, less than and/or equal to symbols (>, <, =)

624_____398

Answer: 624 > 398

Writing both numbers in expanded form helps students compare the values. Even though 398 has a larger number in the tens place and in the ones place, it has fewer hundreds than 624. Therefore 624 is greater than 398. 

Question 8 

How many hundreds are in the number 462? Explain your thinking. 

Answer: 4 hundreds

Building a number using base ten blocks is a concrete method for students to understand the number of hundreds, tens and ones in a number. Using base ten blocks or a quick picture helps students see there are 4 hundreds in the number 462. 

Write the number 684 in expanded form. 

Answer: 600 + 80 + 4

Writing answers in the expanded form is straightforward. Students should break up the number using place value. 

A place value chart can help to organize student thinking when breaking up the numbers. As an additional challenge, students can write this number as 680 + 4 or 600 + 84. 

Common place value misconceptions

Working with three digits is new for 2nd grade students. Often, in a number such as 273, they see that the number 7 is seemingly the largest. So in comparing 273 to 341, they might say that 273 is the bigger number because 7 is greater than any digits in the other number, even though 341 is greater than 273. 

Students must learn the value of each digit and compare numbers using the largest place value first. Teachers can encourage students to write numbers in expanded form (200 + 70 + 3), and use base-ten blocks to model the numbers. Place value charts are another helpful tool to clear up this misconception. 

Measurement: problem solving  and word problems

In kindergarten and first grade, children learn basic measurement concepts such as describing measurable attributes of objects and using basic measurement units. 

In second grade, children learn to use standard units of measure. They also discover various real-world contexts for measurement as they solve measurement word problems. 2nd grade measurement word problems include addition and subtraction of double-digit numbers.

Question 10 

Josh and Simone were training for a marathon. Josh ran 22 miles on Saturday. Simone ran 16 miles on Saturday. How many more miles did Josh run than Simone on Saturday?

Answer: 6 more miles

Learners can solve this problem by counting on from 16 to 22 or subtracting back from 22 to 16. Students may also use a standard algorithm although it would require regrouping and might be less efficient. 

Using a number line or bar model is a helpful visual for students to understand that in this problem they need to find the difference between 16 and 22. 

Question 11

The maple tree is 72 inches tall. The oak tree is 13 inches taller than the maple tree. How tall is the oak tree?

Answer: 85 inches tall 

Measuring height is a context that second graders often see in measurement problems. Using a vertical number line is a helpful visual model for students to recognize that they are adding 13 to 72 in this word problem. Then they can choose a solution strategy to find the sum. 

Question 12 

The Rodrigo family went on a road trip. In the first hour, they drove 55 miles. In the second hour, they drove 42 miles. How many miles did the Rodrigo family drive in the first two hours of their trip? 

Answer: 97 miles

In this math word problem, learners could use a bar model to visualize adding 55 and 42. They can then choose a strategy to find the sum, such as adding with place value or breaking apart one addend.

Money 

Second grade is the first time that students are introduced to counting money. Students learn the value of each coin and the dollar bill. Children solve word problems to determine total quantities when coins are put together and taken apart. This sets the foundation for learning about decimals in the base-ten number system, which is introduced in 4th grade, 5th grade and 6th grade. 

Question 13

The picture below shows how much money my sister has in her piggy bank. How many cents does my sister have in her piggy bank?

Answer: 89 cents

To add the value of the coins together, students should find the total value of all the coins of one type first, or find ways to make ten. 

In this case, they would see that there are 2 quarters  (50 cents), 2 dimes (20 cents), 3 nickels (15 cents) and 4 pennies (4 cents) so a total of 89 cents. 

Question 14

William has 3 quarters. Margaret has 8 pennies. Who has more money? Explain.

Answer: William has more money because 75 cents is more than 8 cents

This problem is challenging for students because the number 8 has a larger value than the number 3. Students should label their work and use real coins where possible to build meaning. 

Skip counting or repeated addition can help students see William has 75 cents and Margaret has 8 cents.

Question 15

Mr. Hopkins had a lemonade sale. He sold 2 cups of lemonade and got 1 quarter, 2 dimes and 1 nickel. How much money did Mr. Hopkins make from selling 2 cups of lemonade? 

Answer: 50 cents

Writing an equation to match a hands-on model with coins or a pictorial model with labels is a great way for students to visualize which numbers they are adding. 

At the second grade level, students do not necessarily write these numbers as decimals since they don’t add decimals until 4th and 5th grade. However, teachers can address what these numbers would look like if we wrote them using decimal notation. 

Telling time was a new skill for students in 1st grade. They learned to read digital and analog clocks to the nearest hour and a half hour. In 2nd grade, students dive deeper and learn to read digital and analog clocks to the nearest 5 minutes, using both a.m. and p.m. 

Question 16 

What time is shown on the analog clock below? Write your answer in digital clock format.

Answer: 4:40

As 2nd grade students learn about clocks, they must realize that the hour hand moves throughout the hour as well as the minute hand. 

In this situation, the hour hand is closer to 5 than 4 because it is past the half hour. Practicing with hands-on clocks helps children understand this concept.

Question 17

Lucy’s dance class starts at 5:15pm. Circle the clock that shows the time her dance class starts.

Students must recognize the short hand as the hour hand and the long hand as the minute hand. Many students may confuse D as the correct answer when it shows 3:25. 

Teachers can facilitate connections between digital and analog clock times using a visual timeline or schedule throughout the day.

Question 18

Lee woke up earlier than Timothy. If Timothy woke up at 6:00am, what time could Lee have woken up? Choose from the digital 24-hour clocks below.

The concept of earlier and later is a fairly new concept for 2nd graders when considering time. Math problems like this prepare students for elapsed time problems in 3rd grade. 

In this problem, students must recognize that 5:00 am comes before 6:00 am, therefore 5:45 am is earlier than 6:00 am. 

Common time misconceptions:

Students often confuse the hour and the minute hands on an analog clock. They need a lot of repeated practice to build understanding. 

RELATED RESOURCE : Time word problems

2nd grade introduces students to the foundation of fractions and connects fractions to geometry. 

Students learn to partition rectangles and circles into two, three and four equal shares. They connect the size of these shares to the vocabulary half, third and fourth, setting the foundation for harder fractions in 3rd grade.

Question 19

If 4 friends share a pizza and each friend gets an equal share, what fraction of the whole pizza does each friend get?

Answer: \frac{1}{4} of the whole pizza

Using visual models that students can draw on, cut and fold is critical for building a conceptual understanding of fractions. 

Children should fold a circular piece of paper or draw a circle and ‘cut’ it into fourths by drawing lines. They may also physically model it using a real pizza or play pizza. The aim is to connect the vocabulary of ‘one-fourth’ when sharing something equally with 4 people.

Question 20

Which models below show a rectangle being partitioned into fourths? Select all that apply. 

Answer: A,C,D

This math problem shows students that rectangles and other shapes can be partitioned in multiple ways. 

As long as the size of the 4 pieces are equal, all three of these models represent a rectangle partitioned into fourths. 

If students answer B, they might not understand how to draw fourths. This misconception indicates that they think drawing 4 lines partitions into fourths, rather than fifths. 

Question 21

If you slice a pie down the middle so that each side is the same size, what fraction of the whole pie is each side? 

Answer: One half or \frac{1}{2}  

Emphasizing the same-size parts is important for setting the foundation for fraction concepts in third grade and beyond. Because of this, 2nd grade fraction concepts focus heavily on vocabulary and equal shares. 

In kindergarten and first grade math, students learn the defining attributes of various two-dimensional and three-dimensional shapes. In second grade math, students solidify their understanding of some basic 2-D and 3-D shapes and draw and identify the number of sides and angles for each shape including:

• Types of triangles
• Quadrilaterals
• Cubes 

Question 22

Draw a closed shape that has 6 sides. What is the name of the shape?

Answer: Drawings may vary but should all have 6 sides and 6 angles. This shape is called a hexagon. 

Question 23

Which shape below is a pentagon? Explain how you know.

A pentagon has 5 sides and shape C is the only 5-sided figure. 

Question 24

What is the name of a shape with 3 angles? Draw a picture of this shape.

Answer: Triangle

Question 25

Draw a quadrilateral. How many angles are in a quadrilateral? 

Answer: Drawings will vary but should be closed 4-sided shapes. There are 4 angles in a quadrilateral. 

Before 2nd grade, students learned to informally organize and represent data. In second grade, students learn a more formal method to represent data: a bar graph. 

2nd grade students must know how to represent data using a bar graph and/or a picture graph and solve simple problems using data presented in bar graphs. 

Question 26

In a class survey, the students in Mrs. Nielsen’s class voted for their favorite color. The data is represented in the bar graph below. How many more students voted for blue than voted for green? 

Answer: 4 more students voted for blue

Since 9 students voted for blue and 5 students voted for green, the difference is 4 students. 

Students must be able to read the bar graph and analyze the data to find the difference. 

Question 27

Look at the bar graph. How many total people ordered food at Pat’s Diner over the weekend? 

Answer: 90 people ordered food 

2nd graders need to understand the scale on the graph. In this math problem, the scale is 10. Children should see there were 30 orders on Friday, 40 on Saturday and Sunday there were 20 and know to add those three values together. 

Question 28

How many fewer cats are there at the shelter than dogs? Use the bar graph below to answer the question. 

Answer: 10 fewer cats than dogs

2nd graders learn about the parts of a bar graph, including the: 

• Scale 
• Title 

There is a lot of information provided about all the animals at the shelter, students must identify the information in the problem and then solve the problem using the information. 

In this case, there are 5 cats at the shelter and 15 dogs, so the difference is 10. 

You may also represent this bar graph horizontally. 

3 top tips for teaching 2nd grade math problems

Teaching 2nd grade math relies on visual models to help students build understanding and develop efficient problem solving strategies. 

To help 2nd grade students build an understanding of new math concepts these elementary teaching best practices can help:

• Teach students more than one method to solve a problem. They can then decide which strategy is most efficient. For example, base-ten blocks, a number line, breaking apart one addend, breaking apart both addends or the standard algorithm.
• Use visual models such as a base-ten block to build an understanding of regrouping when adding and subtracting.
• Follow the CRA progression and transition from hands-on concrete models, to representational or pictorial models, to abstract models.

How can Third Space Learning help with 2nd grade math?

STEM-specialist tutors help close learning gaps and address misconceptions for struggling 2nd grade math students. One-on-one online math tutoring sessions help students deepen their understanding of the math curriculum and keep up with difficult math concepts.

Each student works with a private tutor who adapts instruction and math lesson content in real-time according to the student’s needs to accelerate learning.

2nd grade math worksheets and resources

Looking for more resources? Check out our math games and selection of second grade addition and subtraction worksheets, posters and activities covering the key 2nd grade math topics and more:

• 2nd Grade Fractions Error Analysis
• 2nd Grade Addition and Subtraction Code Crackers
• Addition And Subtraction Word Problems 
• Summer Math Activities For 1st and 2nd Grade
• 25 Fun Math Problems

READ MORE :

• Math problems
• 1st grade math problems
• 3rd grade math problems
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• 5th grade math problems
• 6th Grade Math Problems
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• 8th grade math problems

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