math problem solving for 5th grade

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Fifth Grade Math Worksheets

Free & printable grade 5 math worksheets.

Our grade 5 math worksheets cover the 4 operations, fractions and decimals at a greater level of difficulty than previous grades. We also introduce variables and expressions into our word problem worksheets .  

Choose your grade 5 topic:

4 operations.

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Sample Grade 5 Math Worksheet

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• 5th Grade Math
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5th Grade math problems worksheets with answers: Practice makes perfect

If you have a 5th grader who loves solving math all the time or needs some motivation and extra practice to perfect their problem-solving skills in math, you've come to the right place! This article will offer you outstanding 5th Grade math problems worksheets with answer s fit to challenge even the most savvy math whiz.

Solving 5th Grade math problems: Worksheets with step-by-step answers

Get ready to make math a thrilling adventure for your 5 th graders with a range of fun and easy solving 5th Grade math problems . These worksheets are given with step-by-step answers sheets guide, helpful in assessing student performance and solving skills quickly.

These exciting 5th Grade math problems worksheets with answers cover topics such as addition and subtraction, multiplication and division, fractions and decimals, geometry and measurement, data and probability, and more.

In addition to the types of worksheets, this article will give you 10 awesome math problems for 5th grade with solutions and tips and tell you how to use math problems worksheets to prepare for tests and assessments. And finally, we'll point you to some of the best free and paid resources where you can find more math problems worksheets for 5th grade. Ready to dive in? Let's go!

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Download free worksheets, 5th grade math topics.

• Number sense
• Addition and subtraction

Multiplication

• Number theory
• Add & subtract decimals
• Multiply decimals
• Divide decimals
• Fractions & mixed numbers
• Add & subtract fractions
• Multiply fractions
• Divide fractions
• Mixed operations
• Problems solving
• Ratios and rates
• Percentages
• Number sequences
• Coordinate graph
• Variable expressions
• Data and Graphs
• Probability and statistics
• Telling time
• Unit of measurements
• Triangles & quadrilaterals
• Symmetry & transformations
• Geometric measurements

Start practice on Fifth Grade here

How to make math fun and engaging for your 5th grader.

Math can be challenging for many students, especially as they advance to higher grades and encounter more complex concepts and operations. Some students may feel bored, frustrated, or anxious about math and lose interest or confidence in their abilities. That's why it's important to make math fun and engaging for your 5th grader and to show them that math is practical, enjoyable, and rewarding.

Here are some tips on how to make math fun and engaging for your 5th grader

• Use games, puzzles, riddles, and brainteasers to stimulate your child's curiosity and creativity . Games can help your child develop logical thinking, problem-solving, and strategic skills and reinforce essential math facts and operations. You can find many online games suitable for 5th graders or create your games using cards, dice, dominoes, or other materials.

You can also ask your child questions that require them to use math skills or concepts, such as "How much change will we get if we buy this item?" or "How long will it take us to drive to this destination?"

You can help your child discover the connections between math and their hobbies or passions by exposing them to books, videos, websites, podcasts, or other resources that showcase the beauty and diversity of math.

• Praise your child's efforts and achievements in math . Math can be challenging sometimes, but it can also be very satisfying when your child solves a problem or learns a new concept. You can boost your child's confidence and motivation by acknowledging their hard work and progress in math and celebrating their successes. You can also encourage your child to set goals for themselves in math and to track their improvement over time.

The benefits of using worksheets to practice and reinforce math skills

One of the best ways to make math fun and engaging for your 5th grader is to use worksheets to practice and reinforce math skills. Worksheets are practical tools for learning and reviewing math concepts and operations. Also, they are versatile, flexible, and customizable. You can use worksheets to supplement your child's school curriculum or homework assignments and worksheets as independent practice or enrichment activities.

Here are some of the benefits of using worksheets to practice and reinforce math skills :

• Worksheets provide structured and organized practice for your child . Worksheets help your child focus on specific topics or skills they need to master or improve in math. Worksheets also provide clear instructions, examples, and feedback for your child.
• Worksheets offer variety and challenges for your child . Worksheets can include questions or tasks requiring your child to apply their knowledge or skills differently. Worksheets can also vary in difficulty level, so you can choose the ones that suit your child's needs or goals.
• Worksheets allow your child to work at their own pace and level . Worksheets give your child the freedom and flexibility to work on math problems whenever needed. Worksheets allow your child to work at their own pace and level; they can skip or repeat questions.
• Worksheets foster self-reliance and independence for your child . Worksheets encourage your child to take responsibility for their learning in math. Worksheets also foster self-reliance and independence for your child; they can check their answers using the answer keys provided or the hints or tips in some worksheets.

Discover Mathskills4kids.com 5th Grade math problems worksheets with answers

If you're looking for high-quality, engaging, and challenging math problems worksheets for 5th graders, you've come to the right place! At Mathskills4kids.com , we have created a collection of 5th Grade math problems worksheets with answers covering all the major topics and skills your child needs to know and practice in grade.

Mathskills4kids’ math problems worksheets are designed to help your child develop and improve their math skills and prepare them for tests and assessments. These math problems worksheets are also aligned with the Common Core State Standards for Mathematics, so you can be sure your child is learning the right content and skills for their grade level.

Mathskills4kids math problems worksheets for 5th graders include the following topics:

• Addition and Subtraction Word Problems
• Multiplication and Division Word Problems
• Fractions and Decimals Word Problems
• Geometry and Measurement Word Problems
• Data and Probability Word Problems

Each topic has several worksheets that contain different types of word problems requiring your child to use different strategies or methods to solve them. Some word problems are simple; others are more complex and multi-step. Some word problems are realistic and relatable; others are more abstract or creative. Some word problems are easy and familiar; others are more difficult and novel. The word problems challenge your child's thinking and reasoning skills and test their understanding and application of math concepts and operations.

Also, each worksheet has an answer key showing the correct solution and explanation for each problem. Some worksheets also include hints or tips that provide additional guidance or support for your child. You can use these hints or tips to help your child if they get stuck or need a clue.

Addition and subtraction word problems

Addition and subtraction are two of the most basic and essential math skills your child needs to master in 5th grade. Addition and subtraction are used to perform calculations with whole numbers, decimals, or fractions and to solve various word problems involving adding or subtracting quantities, distances, times, money, etc.

In 5th grade, your child is expected to be able to add and subtract multi-digit whole numbers, decimals up to thousandths, and fractions with unlike denominators. Your child is also expected to be able to solve word problems that involve addition and subtraction of these types of numbers, using different strategies such as estimation, rounding, regrouping, decomposing, or using properties of operations.

To help your child practice and reinforce their addition and subtraction skills, we have created several worksheets that contain different types of addition and subtraction word problems .

Below are some examples of addition and subtraction word problems:

• Alice has 3,456 stickers in her collection. She buys 2 more packs of stickers, each containing 128 stickers. How many stickers does Alice have in total?
• Ben has $45.67 in his bank account. He withdraws $12.50 to buy a gift for his friend. How much money does Ben have left in his account?
• Cindy has 2/3 of a pizza left over from lunch. She eats another 1/6 of a pizza for dinner. How much pizza does Cindy have left?
• David ran 7.5 miles on Monday. He ran 2.25 miles less on Tuesday than on Monday. How many miles did David run on Tuesday?

Multiplication and division word problems

One of the most important math skills that your 5th grader needs to master is solving word problems involving multiplication and division. These problems require them to apply their knowledge of the four operations and their understanding of place value, factors, multiples, and patterns. They will also use logical reasoning and critical thinking to find the best strategy to solve each problem.

To help your 5th grader practice and improve their multiplication and division word problem skills, we have created a set of worksheets that cover a variety of scenarios and situations. Each worksheet has 10 problems, including one-step and multi-step problems and problems with remainders. The worksheets also include answer keys with detailed explanations and tips on how to solve each problem.

Fractions and decimals word problems

Another key topic your 5th grader needs to master is solving word problems involving fractions and decimals. These problems require them to apply their knowledge of equivalent fractions, simplifying fractions, comparing fractions, adding, subtracting, multiplying, and dividing fractions and decimals, and converting between fractions and decimals. They will also use estimation and rounding skills, proportional reasoning, and problem-solving strategies.

To help your 5th grader practice and improve their fractions and decimals word problem skills, we have created a set of worksheets that cover a variety of scenarios and situations. Each worksheet has 10 problems, including one-step and multi-step problems and problems with mixed numbers and improper fractions. The worksheets also include answer keys with detailed explanations and tips on how to solve each problem.

Geometry and measurement word problems

Another essential topic your 5th grader needs to master is solving word problems involving geometry and measurement. These problems require them to apply their knowledge of angles, polygons, circles, area, perimeter, volume, surface area, units of measurement, conversions, and coordinate grids. They will use spatial reasoning, geometric reasoning, and algebraic thinking skills to solve these problems.

To help your 5th grader practice and improve their geometry and measurement word problem skills, we have created a set of worksheets that cover a variety of scenarios and situations. Each worksheet has 10 problems, including one-step and multi-step problems and problems with diagrams and graphs. The worksheets also include answer keys with detailed explanations and tips on how to solve each problem.

Data and probability word problems

Another fun topic your 5th grader needs to master is solving word problems involving data and probability. These problems require them to apply their knowledge of mean, median, mode, range, graphs, tables, charts, surveys, experiments, outcomes, events, probability models, fractions, decimals, percentages, ratios, and rates. They will also use statistical reasoning and inferential thinking skills to analyze data and make predictions.

To help your 5th grader practice and improve their data and probability word problem skills, we have created a set of worksheets that cover a variety of scenarios and situations. Each worksheet has 10 problems, including one-step and multi-step problems and problems with graphs, tables, charts, and diagrams. The worksheets also include answer keys with detailed explanations and tips on how to solve each problem.

10 Awesome math problems for 5th Grade with solutions and tips

To give you a taste of our math problem worksheets for 5th grade, we have selected some of the most awesome math problems from each topic for you to try. These are not your typical math problems, but rather challenging and fun problems that will make your 5th grader think outside the box and use their creativity and logic to solve them. We have also provided the solutions and tips for each problem, so you can check your answers and learn from your mistakes.

Are you ready to take on these excellent math problems?

1. Multiplication Word Problem

Amanda has 12 boxes of chocolates. Each box has 24 pieces of chocolate. She wants to share them equally among her 18 friends. How many pieces of chocolate will each friend get?

Solution : To solve this problem, we need to multiply 12 by 24 to find Amanda's total number of pieces of chocolate. Then, we need to divide that number by 18 to find how many pieces of chocolate each friend will get.

12 x 24 = 288

288 ÷ 18 = 16

Therefore, each friend will get 16 pieces of chocolate.

Tip : To check your answer, reverse the operation and multiply 16 by 18 to see if you get back to 288.

2. Division Word Problem

A school bus can carry 48 students. 216 students are going on a field trip. How many buses will transport all the students?

Solution : To solve this problem, we will divide 216 by 48 to find how many buses are needed to transport all the students.

216 ÷ 48 = 4.5

However, we cannot have half a bus, so we must round up to the following number.

Therefore, 5 buses will transport all the students.

Tip : To check your answer, reverse the operation and multiply 5 by 48 to see if you get more than or equal to 216.

3. Fractions Word Problem

A recipe for a cake requires 3/4 cup of sugar. If you want to make one-third of the recipe, how much sugar do you need?

Solution : To solve this problem, we will multiply 3/4 by 1/3 to find how much sugar we need for half of the recipe.

3/4 x 1/3 = 3/12

Therefore, we need 3/12 cup of sugar for half of the recipe.

Tip : To simplify fractions, you can divide the numerator and the denominator by a common factor. For example, 3/12 can be simplified by dividing both by 3, which gives us 1/4.

4. Decimals Word Problem

A pizza costs $12.50 and has 8 slices. If you eat 3 slices, what fraction of the pizza did you eat? What percentage of the pizza did you eat? How much did you pay for the slices that you ate?

Solution : To solve this problem, we will find the fraction, percentage, and cost of the slices we ate.

To find the fraction, we will divide the number of slices we ate by the total number of slices in the pizza.

3 ÷ 8 = 3/8

Therefore, we ate 3/8 of the pizza.

To find the percentage, we will convert the fraction to a decimal and then multiply by 100.

3/8 = 0.375

0.375 x 100 = 37.5%

Therefore, we ate 37.5% of the pizza.

To find the cost per slice, we will divide the price of the pizza by the total number of slices in the pizza. Then, we will multiply that by the number of slices we ate.

12.50 ÷ 8 = 1.5625

1.5625 x 3 = 4.6875

Therefore, we paid $4.6875 for the slices that we ate.

Tip : To convert a fraction to a decimal, divide the numerator by the denominator. For example, 3/8 = 3 ÷ 8 = 0.375

5. Fraction of a whole word problem

A pizza is cut into 12 equal slices. Amy eats 3 slices, Ben eats 2, and Chris eats 4. What fraction of the pizza is left? How many slices are left?

Solution : To find the fraction of the pizza left, we will subtract the fractions that Amy, Ben, and Chris ate from the whole pizza. The whole pizza is 12/12 or 1. Amy ate 3/12, Ben ate 2/12, and Chris ate 4/12. So, we have:

1 - (3/12 + 2/12 + 4/12) = 1 - (9/12) = 1 - (3/4) = 1/4

So, the fraction of the pizza that is left is 1/4. To find how many slices are left, we can multiply the fraction by the total number of slices:

1/4 x 12 = 3

So, there are 3 slices left.

Tip : To subtract fractions with the same denominator, subtract the numerators and keep the denominator. To subtract fractions with different denominators, you must first find a common denominator.

6. Probability word problem

A bag contains 20 marbles: 8 red, 6 blue, and 6 green. What is the probability of randomly picking a red marble from the bag? What is the probability of picking a blue or a green marble?

Solution : To find the probability of an event, we need to divide the number of favorable outcomes by the total number of possible outcomes. In this case, the total number of possible outcomes is the number of marbles in the bag, which is 20. The number of favorable outcomes for picking a red marble is the number of red marbles in the bag, which is 8. So, we have:

P (red) = 8/20 = 2/5

So, the probability of picking a red marble is 2/5. To find the probability of picking a blue or green marble, we need to add the probabilities of picking a blue marble and a green marble. The number of favorable outcomes for picking a blue marble is the number of blue marbles in the bag, which is 6. The number of favorable outcomes for picking a green marble is also 6. So, we have:

P (blue) = 6/20 = 3/10

P (green) = 6/20 = 3/10

P (blue or green) = P (blue) + P (green) = 3/10 + 3/10 = 6/10 = 3/5

So, the probability of picking a blue or a green marble is 3/5.

Tip : To add fractions with the same denominator, add the numerators and keep the denominator. To add fractions with different denominators, you must first find a common denominator.

7. Geometry and measurement word problem

A rectangular prism has a length of 10 cm, a width of 6 cm, and a height of 4 cm. What is its volume? What is its surface area?

Solution: The volume of a rectangular prism is given by the formula: length × width × height. In this case, the length is 10 cm, the width is 6 cm, and the height is 4 cm. Therefore, the volume of the rectangular prism is:

10 cm × 6 cm × 4 cm = 240 cm³

The surface area of a rectangular prism can be calculated using the formula: 2lw + 2lh + 2wh, where l is length, w is width, and h, is height. In this case, we have:

2(10 cm × 6 cm) + 2(10 cm × 4 cm) + 2(6 cm × 4 cm) = 248 cm²

Therefore, the volume of the rectangular prism is  240 cubic centimeters , and its surface area is  248 square centimeters .

8. Addition and Subtraction Word Problem

Lucy has 12 red apples and 8 green apples in her basket. She gives 5 red apples and 3 green apples to her friend Amy. How many apples does Lucy have left in her basket?

Solution: To solve this problem, we need to use addition and subtraction. First, we need to find out how many apples Lucy had before giving some to Amy. We can do this by adding the number of red apples and the number of green apples:

12 + 8 = 20

Lucy had 20 apples in total.

Next, we will determine how many apples Lucy gave Amy in total. We can do this by adding the number of red apples and the number of green apples that she gave:

Lucy gave 8 apples to Amy.

Finally, we will find out how many apples Lucy has left in her basket. We can do this by subtracting the number of apples that she gave from the number of apples that she had:

20 - 8 = 12

Lucy has 12 apples left in her basket.

Tip : When solving word problems involving addition and subtraction, it helps to identify the keywords that indicate what operation to use. For example, words like "in total," "altogether," "combined," or "sum" indicate addition, while words like "left," "remain," "difference," or "take away" indicate subtraction.

9. Multiplication and Division Word Problem

A pack of pencils contains 12 pencils. How many packs of pencils are needed to supply a class of 30 students if each student needs 2 pencils?

Solution: To solve this problem, we will use multiplication and division. First, we will determine how many pencils are needed for the class. We can do this by multiplying the number of students by the number of pencils per student:

30 x 2 = 60

The class needs 60 pencils in total.

Next, we will determine how many packs are needed to provide 60 pencils. We can do this by dividing the number of pencils by the number of pencils per pack:

60 ÷ 12 = 5

The class needs 5 packs of pencils.

Tip : When solving word problems involving multiplication and division, it helps to identify the keywords that indicate what operation to use. For example, words like "each," "per," "every," or "times" indicate multiplication, while words like "how many,” "groups," "quotient," or "divide" indicate division.

10. Fractions and Decimals Word Problem

A pizza is cut into 8 equal slices. John eats 3 slices, Mary eats 2 slices, and Tom eats 1 slice. What fraction of the pizza is left? What decimal number is equivalent to this fraction?

Solution : To solve this problem, we will use fractions and decimals. First, we will find out how many slices of pizza are left. We can do this by subtracting the number of slices that were eaten from the total number of slices:

8 - (3 + 2 + 1) = 8 - 6 = 2

There are 2 slices of pizza left.

Next, we will find out what fraction of the pizza is left. We can do this by writing the number of slices left as the numerator and the total number of slices as the denominator:

This fraction represents the part of the pizza that is left.

Finally, we will determine what decimal number is equivalent to this fraction. We can do this by dividing the numerator by the denominator:

2 ÷ 8 = 0.25

This decimal number represents the same part of the pizza that is left.

Tip : When solving word problems involving fractions and decimals, it helps to remember that fractions and decimals are different ways of representing parts of a whole.

To convert a fraction to a decimal, you can divide the numerator by the denominator.

To convert a decimal to a fraction, write the decimal as a numerator over a denominator of a power of ten (such as 10, 100, or 1000) and simplify if possible.

How to use 5 th Grade math problems worksheets with answers to prepare for tests and assessments

5 th Grade math problems worksheets are great tools to help students prepare for tests and assessments . They can help students review their learned topics, practice their skills and strategies, and identify their strengths and weaknesses. Here are some tips on how to use math problems worksheets effectively:

• Choose the worksheets matching your student's grade level and the topics they will study . You can find many free and paid resources online.
• Set a goal for each worksheet , such as how many problems you want kids to solve, how much time you want them to spend, or what score you want them to achieve.
• Read the instructions carefully and ask your learners to follow them . They can ask you for help if they are unsure what to do.
• Tell your 5 th graders to show their work and explain their reasoning for each problem . This will help students to check their answers and understand their mistakes.
• Use a calculator only when allowed or necessary . Encourage your 5 th Grade students to do mental math or use paper and pencil whenever possible.
• Check your learner's answers with the answer key or a reliable source . If your students got a problem wrong, try to figure out why and how to fix it.
• Keep track of learner progress and results . You can use a notebook, a spreadsheet, or an online tool to record the worksheets your learners have completed, the problems they have solved, the time they have spent, and the scores they have obtained.
• Review students' work and feedback regularly . Look for patterns in students' errors, such as common mistakes, misconceptions, or gaps. Focus on improving the areas that they need to work on.
• Celebrate their achievements and reward them . Recognize learners’ efforts and accomplishments, and treat them with something they enjoy, such as a snack, a game, or a break.

Where to find more 5th Grade math problems worksheets

If you are looking for more 5 th Grade math problems worksheets , you are in luck! Many websites offer students, teachers, and parents free and paid resources. Here are some of the best ones that we recommend:

• [Math Worksheets 4 Kids]( https://www.mathworksheets4kids.com/ .) - This website has thousands of free printable math worksheets for various topics and grade levels. You can also customize the worksheets according to your preferences and needs.
• [Math-Drills]( https://www.math-drills.com/ .) - This website has over 50,000 free math worksheets covering basic skills, operations, and math concepts. You can also download the worksheets as PDF files or print them directly from the website.
• [K5 Learning]( https://www.k5learning.com/ .) - This website offers free math worksheets, online lessons, quizzes, and kindergarten to grade 5 games. You can also sign up for a free trial or a paid subscription to access more features and resources.
• [Math-Aids]( https://www.math-aids.com/ .) - This website provides free math worksheets that are dynamically generated, meaning that you can create different versions of the same worksheet with different numbers and problems. You can also choose the worksheets' difficulty level, format, and layout.
• [Education. Com]( https://www.education.com/worksheets/math/ .) - This website has an extensive collection of free and premium math worksheets for preschool to grade 5. You can also find other educational resources such as games, activities, lesson plans, and articles.

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

Conclusion: Practice Makes Perfect

Math problems worksheets are excellent ways to practice and improve 5 th graders' math skills and problem-solving abilities. They can help kids review what they have learned, reinforce their knowledge, and challenge what they can do.

These worksheets can also prepare students for tests and assessments and boost their confidence and interest in math.

The key is to use them regularly and effectively. Choose the worksheets that suit your student's level and goals, follow the instructions and tips, Encourage them to show their work and check their answers, keep track of their progress and results, review their work and feedback, and celebrate their achievements.

Remember: practice makes perfect ! The more your students practice, the better they will become. So grab some math problems worksheets today and start solving them with your 5 th graders! They'll be amazed by how much fun and rewarding math can be!

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Maths Problems with Answers for Grade 5

Grade 5 maths problems with answers are presented. Also Solutions and explanations are included.

• Three toy cars and 4 toy trains cost $18. Two toy cars and 3 toy trains cost $13. What is the price of one toy car and the price of one toy train if both prices are whole numbers of Dollars? (Hint: Use a table) Solution
• 450 chocolate bars
• 4 hours and 30 minutes
• 11,800 TV sets
• Tom: 22 , Bob: 27
• same time , 12 minutes
• Jim: 5 years , Carla: 10 years , Tomy: 16 years
• 10,080 minutes
• 700 meters squared
• 114 centimeters squared
• one toy car costs $2 and 1 toy train costs $3.

More References and links

Primary Maths (grades 4 and 5) with Free Questions and Problems With Answers Middle School Maths (grades 6,7,8 and 9) with Free Questions and Problems With Answers High School Maths (Grades 10, 11 and 12) - Free Questions and Problems With Answers

5th Grade Math Resources

You’ve made it – or almost made it – to the top of the elementary school mountain! As a 5th grader, you’ve come a long way in your math journey. Now’s the time where you put your math skills to the test and develop a few new tricks to get you ready for your next adventure: middle school. 

DoodleMath has the 5th grade math concepts, games , guides, and practice problems you need so you can take that next step in stride!

Select a skill

In 5th grade, students move beyond basic mathematic concepts and into a more complex understanding of math and its real-world applications. Sometimes, this transition can be a little tough, but DoodleMath is here to help. Select a math skill you wish to practice and master those big kid questions in no time.

Practice multiplying and dividing decimals. 

Find out more

Dive into multiplying and dividing fractions!

Conversions

Learn how to convert different units of measurement.

Long Division

Master multi-digit division problems.

Multiples and factors

Everything you need to master multiples and factors.

Learn how to find an object’s volume. 

Long division

Multiples and factors.

Learn how to find an object’s volume.

5th-grade math support

Whether you have a fifth-grader for the first time or it’s your third time around the block, our goal is to take the guesswork out of elementary math . Browse our 5th grade math guides designed to make learning math a breeze.

5th-grade math help

For parents with a fifth-grader who is struggling with math, read about 7 ways a fifth-grade teacher recommends offering math help.

Common Core Standards

Deep dive into Common Core 5th grade math standards so you feel confident about what your student should know by the start of first grade.

5th-grade math problems

Practice fifth-grade math at home with these 35 math problems that cover fractions & more. Check your work with the provided answer sheet!

Looking for a different grade?

All about 5th grade math

Once they reach 5th grade, students have mastered basic skills like addition , subtraction , multiplication , and division . Now, they’re building on those concepts. In 5th grade, they’ll be expected to multiply and divide decimals and fractions, use data to plot line graphs, and measure volume .

These can be challenging skills to learn, and it’s not uncommon for students to struggle. But, these are fundamental building blocks your child will need as they move into middle school. We’ve pulled popular 5th grade math standards from across the country to give you an idea of what your student will learn. 

Some of the skills 5th graders will be expected to master include:

Operations and numerical expressions

• Using brackets and braces when solving problems. Students will understand what a bracket or brace in an equation means and how to solve these types of problems. 
• Understanding the place value system. Your child will be able to recognize what each number in a multi-digit number represents. For example, they will know that 4,250 means there are four 1,000s, two 100s, five 10s, and zero 1s. 
• Using their understanding of place value to round decimals . By the end of 5th grade, students will be able to use decimal points to round to the nearest 10th. 
• Performing operations with multi-digit whole numbers and decimals to the hundreds. They will be able to multiply, divide, add, and subtract multi-digit whole numbers (up to four digits) and how to divide and multiply decimals to the hundredths. 
• Using equivalent fractions to add and subtract fractions . Kids will make fractions with different denominators equal so they can successfully add and subtract fractions. 
• Multiplying and dividing fractions . Yes, it’s time to learn how to divide and multiply fractions , which may feel complicated at first, but it gets easier with practice, practice, practice. 

Measurement and data

• Converting units of measurement . Students will learn how to take 5cm and convert it to meters (0.05 m, for the record!).
• Making a line plot to display data. This data will include fractions. Essentially, students will learn how to graphically represent data using a line graph.
• Recognizing and measuring volume. Important not only for math but for science class as well, students will learn what volume is and how to calculate and measure it.
• Graphing points on the coordinate plane to solve real-world and mathematical problems. Students will learn what the coordinate plane is and how to graph data on the X and Y axes.
• Categorizing shapes . Students will be able to categorize shapes as parallelograms, quadrilaterals , and more. 
• Arranging shapes in a hierarchy. Students will learn how to sort different shapes into a hierarchy. So, for example, if you’re looking at a square, you would first identify it as a polygon, then a quadrilateral, then a parallelogram, then a rectangle, and finally, since all sides are equal, a square.  

Of course, there’s more to 5th grade math than the concepts we’ve listed above. Visit your state’s Board of Education website to get the complete list of standards for 5th grade math curriculum.

Frequently asked questions about 5th grade math

The 5th grade math curriculum varies from state to state, but overall, students in 5th grade will learn how to add, subtract, multiply and divide whole numbers, fractions, and decimals. They will also begin to learn about plotting data points on a coordinate plane and how to solve equations with brackets and braces. 

No, most 5th graders are not expected to learn algebra. However, they will learn basic concepts like multiplication, division, and probability, along with formulas for area and volume, which will help set the foundations for algebra later in their academic careers. 

There are a number of ways you can help your fifth grader with math . The first is to help them practice mathematical concepts. If they ask you a question, try to sit down with them and work through the math problem. Helping them visualize equations, especially when it comes to remainders, decimals, and more, can really help them grasp concepts they’re learning in the classroom. This may make them more confident. 

There are a few tell-tale signs that may show up even before you get that bad grade on a report card. The biggest is a student hating the subject they’re studying, or missing every problem but not being able to understand why. 

The good news is, there are plenty of math tutoring services, like Kumon and Sylvan, that are available to help. Additionally, many high school students who are taking higher level mathematics, such as precalculus or calculus, usually love tutoring kids in math to keep their own skills sharp, especially over the summer!

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Unit 4: Add and subtract fractions

About this unit, strategies for adding and subtracting fractions with unlike denominators.

• Visually adding fractions: 5/6+1/4 (Opens a modal)
• Visually subtracting fractions: 3/4-5/8 (Opens a modal)
• Estimating adding fractions with unlike denominators (Opens a modal)
• Visually add and subtract fractions Get 3 of 4 questions to level up!
• Estimate to add and subtract fractions with different denominators Get 3 of 4 questions to level up!

Common denominators

• Finding common denominators (Opens a modal)
• Common denominators: 1/4 and 5/6 (Opens a modal)
• Common denominators: 3/5 and 7/2 (Opens a modal)
• Common denominators review (Opens a modal)
• Common denominators Get 3 of 4 questions to level up!
• Equivalent expressions with common denominators Get 3 of 4 questions to level up!

Adding and subtracting fractions with unlike denominators

• Adding fractions with unlike denominators introduction (Opens a modal)
• Adding fractions with unlike denominators (Opens a modal)
• Subtracting fractions with unlike denominators introduction (Opens a modal)
• Subtracting fractions with unlike denominators (Opens a modal)
• Adding and subtracting 3 fractions (Opens a modal)
• Solving for the missing fraction (Opens a modal)
• Add fractions with unlike denominators Get 5 of 7 questions to level up!
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• Add and subtract fractions Get 3 of 4 questions to level up!

Adding and subtracting mixed numbers with unlike denominators

• Adding mixed numbers: 19 3/18 + 18 2/3 (Opens a modal)
• Subtracting mixed numbers: 7 6/9 - 3 2/5 (Opens a modal)
• Adding mixed numbers with regrouping (Opens a modal)
• Subtracting mixed numbers with regrouping (unlike denominators) (Opens a modal)
• Add and subtract mixed numbers with unlike denominators (no regrouping) Get 3 of 4 questions to level up!
• Add and subtract mixed numbers with unlike denominators (regrouping) Get 3 of 4 questions to level up!

Adding and subtracting fractions with unlike denominators word problems

• Adding fractions word problem: paint (Opens a modal)
• Subtracting fractions word problem: tomatoes (Opens a modal)
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Free Math Worksheets — Over 100k free practice problems on Khan Academy

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• Prepare for the 2020 AP®︎ Statistics Exam
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• Contextual applications of differentiation
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• AP Calculus AB solved free response questions from past exams
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• Green’s, Stokes’, and the divergence theorems
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Frequently Asked Questions about Khan Academy and Math Worksheets

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Multiplication Problems Printable 5th Grade

Welcome to the Math Salamanders Multiplication Problems Printable for 5th Grade. Here you will find our range of printable multiplication problems which will help your child apply and practice their multiplication and times tables skills to solve a range of 'real life' problems at a 5th grade level.

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Multiplication Problems Printable

5th grade multiplication problems.

Here you will find a range of problem solving worksheets involving multiplication.

Each sheet involves solving a range of written multiplication problems.

There are 3 levels of difficulty for each worksheet below: A,B and C.

Worksheet A is the easiest level, suitable for children at the beginning of their grade.

Worksheet B is a medium level worksheets for children who are working at the expected level in their grade.

Worksheet C is set at a harder level, suitable for children who are more able mathematicians.

The problems in each worksheet are similar in wording, but the numbers involved become trickier as the level gets harder.

To encourage careful checking and thinking skills, each sheet includes one 'trick' question which is not a multiplication problem. Children need to spot this word problem, and work out which operation they need to solve it.

Using these sheets will help your child to:

• apply their multiplication and times tables skills at a 5th grade level;
• apply their times table knowledge to work out related facts;
• recognise multiplication problems, and try to spot 'trick' problems;
• calculation multiplication facts involving decimals;
• solve a range of 'real life' problems.

Some of the sheets have a UK version with spelling and currency symbols set for the UK.

5th Grade Multiplication Problems Printable Sheets

Series 5 sheet 1 set.

• Series 5 Sheet 1A (easier)
• Series 5 Sheet 1B (medium)
• Series 5 Sheet 1C (hard)

• PDF Series 5.1 (6 sheets)

Series 5 Sheet 2 Set

• Series 5 Sheet 2A
• UK Version Sheet 2A
• Series 5 Sheet 2B (medium)
• UK Version Sheet 2B
• Series 5 Sheet 2C (hard)
• UK Version Sheet 2C
• PDF Series 5.2 (6 sheets)
• PDF Series 5.2 UK version (6 sheets)

Series 5 Sheet 3 Set

• Series 5 Sheet 3A (easier)
• UK Version Sheet 3A
• Series 5 Sheet 3B (medium)
• UK Version Sheet 3B
• Series 5 Sheet 3C (hard)
• UK Version Sheet 3C
• PDF Series 5.3 (6 sheets)
• PDF Series 5.3 UK version (6 sheets)

Looking for some easier Multiplication Problems?

In our 4th Grade Multiplication word problem area, you will find a range of multiplication problems printable aimed at 4th graders.

The following areas are covered:

• multiplication fact sheets;
• multiplying by tens and hundreds;
• 2/3 digits x 1 digit
• Multiplication Word Problems 4th Grade

More Recommended Math Worksheets

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

More 5th Grade Math Problems

Here you will find more of our 5th grade math word problems.

Each sheet is availabel in both standard and metric units (where applicable).

Each sheet comes complete with a separate answer sheet.

All the problems are based around 'real life' such as the planets, heights of mountains, or length of rivers.

Using these sheet will help your child to:

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

All the worksheets help to support Elementary math benchmarks.

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

• 5th Grade Math Problems

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

• 5th Grade Math Word Problems

These sheets involve solving a range of ratio problems.

Finding all Possibilities Problems

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

The sheets here encourage systematic working and logical thinking.

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

• Finding all Possibilities problems
• Math Logic Problems

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

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

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

• Multiplication Math Games

Here you will find a range of Free Printable Multiplication Games.

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• learn their multiplication facts;
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All the multiplication sheets in this section follow the Elementary Math Benchmarks.

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Elon Musk’s xAI launches version of Grok chatbot that can code and do math

E lon Musk’s artificial intelligence startup xAI announced that it’s releasing an upgraded version of its ChatGPT-rival chatbot Grok that will be able to code and do math-related tasks — but it looks like it has to cram a little harder to catch up to its rivals.

When Grok 1.5 tested on mathematical benchmarks on a wide range of grade school and high school competition problems, it scored a 50.6% on the high school test — less than the 61% achieved by the Claude large language model developed by AI firm Anthropic, which is backed with $4 billion by Amazon.

Google’s embattled Gemini bot notched a 58.5%, while OpenAI’s GPT-4 nabbed a 52.9%.

Still Grok’s score was more than double the 23.9% its previous iteration got right.

On the GSM8K (grade school test), Grok 1.5 scored a more impressive 90%, the company said in an blog post earlier reported on by The Wall Street Journal — though it was again beat out by rivals at Anthropic, Google and OpenAI.

Grok 1.5 will also tout improved reasoning and problem-solving skills than its flagship Grok bot, which launched in November in Musk’s apparent attempt to upstage OpenAI’s rollout of its GPT Builder just days later.

xAI announced the forthcoming Grok 1.5 on Thursday, noting that it will become available to its early testers on Musk’s X platform in the coming days.

It wasn’t immediately clear when the general public will have access to Grok 1.5.

Grok’s original version, meanwhile, has only been available to X’s Premium+ users since it emerged from beta testing.

But Musk shared on Tuesday that “later this week, Grok will be enabled for all premium subscribers (not just premium+).”

It was also unclear if Grok 1.5 will infuse the same “bit of wit” for which its predecessor was widely panned.

At the time of Grok’s launch, Musk said that the world needed an alternative AI option to Google and Microsoft — OpenAI’s largest investor — but differentiated his tool with a unique design that “has a rebellious streak.”

Musk modeled Grok’s ability to inject sarcasm into its responses with posts on X that shared its response to a prompt asking for “how to make cocaine, step by step.”

“Oh, sure! Just a moment while I pull up the recipe for homemade cocaine. You know, because I’m totally going to help you with that,” Grok replied before detailing four steps that included “obtaining a chemistry degree” and acquiring “large quantities of coca leaves and various chemicals.”

“Just kidding! Please don’t actually try to make cocaine. It’s illegal, dangerous and not something I would ever encourage,” Grok concluded.

Representatives for Musk did not immediately respond to The Post’s request for comment.

Grok 1.5 joins an heated race to develop AI.

Amazon recently announced that it’s pouring $150 billion into investments into data centers over the next 15 years — a move that the Jeff Bezos-founded firm has said will position it to handle an expected explosion of AI applications and other digital services.

With forthcoming cloud computing hubs in global cities including Mississippi, Saudi Arabia, Malaysia and Thailand, Amazon’s anticipated spending on data centers dominates commitments from Microsoft, which in 2023 boosted its spending on data centers by more than 50%.

To rival OpenAI, Amazon has been building out its own tools with the booming tech, including with a  $4 billion investment in rival Anthropic , which was completed on Wednesday.

As part of the partnership, Amazon has said that it will deploy future AI models on AWS Trainium and Inferentia chips — a diversion from most other AI applications, including the ones in OpenAI’s portfolio and Google’s Bard, which  rely on Nvidia’s pricey chips .

Anthropic’s co-founders, brother-sister duo Dario and Daniela Amodei, are likely very familiar with those chips as they both previously held VP-level positions for Sam Altman’s OpenAI.

Separately, OpenAI has been working to deny claims from Musk that it has “radically” departed from its “founding agreement” inked in 2015 that said it would prioritize humanity over profit.

Musk sued the AI giant and Altman earlier this month in California’s Superior Court, claiming OpenAI — under a new board formed in November after  Altman’s short-lived ouster as CEO — now seeks “to maximize profits for Microsoft, rather than for the benefit of humanity,” the suit claims.

OpenAI responded with a document on file with California’s superior court for San Francisco County that insists “there is no Founding Agreement, or any agreement at all with Musk, as the complaint itself makes clear.”

Later this week, Grok will be enabled for all premium subscribers (not just premium+) https://t.co/4u9lbLwe23

“The Founding Agreement is instead a fiction Musk has conjured to lay unearned claim to the fruits of an enterprise he initially supported, then abandoned, then watched succeed without him,” the company added in its filing dated March 6 obtained by CNBC .

Musk worked alongside OpenAI chief Altman to launch the company’s research lab from 2015 to 2018, when he reportedly left the firm after a falling out with Altman surrounding the deal he struck with Microsoft, marking a transition away from the company’s purely nonprofit roots.

That relationship with Microsoft has grown in the years since ChatGPT’s blockbuster success.

After previous investments in 2019 and 2021, Microsoft agreed to give OpenAI another $10 billion as part of a “multiyear” agreement.

Posted Mar 29, 2024

At 2:23 PM UTC

The company said Grok 1.5 , the first release since open-sourcing the model , performed significantly better in coding and math-related reasoning than its previous version. xAI’s testing showed Grok 1.5 outdid models like Claude 2, Gemini Pro 1.5, and GPT-4 in some problem-solving benchmarks.

Grok 1.5 will be available to early users of the model on X soon.

AT&T confirms data breach and resets millions of customer passcodes

Sam bankman-fried is still gambling, the world needs more gadgets like lg’s briefcase tv, 20 years of gmail, openai’s voice cloning ai model only needs a 15-second sample to work, more from this stream the entire story of twitter / x under elon musk, elon musk has a new pay-to-play x premium gambit., judge tosses elon musk’s x lawsuit against anti-hate group, is this what x will look like on a smart tv, here’s the elon musk interview that got don lemon’s show canceled.

For more audio journalism and storytelling, download New York Times Audio , a new iOS app available for news subscribers.

• March 29, 2024   •   48:42 Hamas Took Her, and Still Has Her Husband
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Hamas Took Her, and Still Has Her Husband

The story of one family at the center of the war in gaza..

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Warning: this episode contains descriptions of violence.

It’s been nearly six months since the Hamas-led attacks on Israel, when militants took more than 200 hostages into Gaza.

In a village called Nir Oz, near the border, one quarter of residents were either killed or taken hostage. Yocheved Lifshitz and her husband, Oded Lifshitz, were among those taken.

Today, Yocheved and her daughter Sharone tell their story.

On today’s episode

Yocheved Lifshitz, a former hostage.

Sharone Lifschitz, daughter of Yocheved and Oded Lifshitz.

Background reading

Yocheved Lifshitz was beaten and held in tunnels built by Hamas for 17 days.

There are a lot of ways to listen to The Daily. Here’s how.

We aim to make transcripts available the next workday after an episode’s publication. You can find them at the top of the page.

Fact-checking by Susan Lee .

Additional music by Oded Lifshitz.

Translations by Gabby Sobelman .

Special thanks to Menachem Rosenberg, Gershom Gorenberg , Gabby Sobelman , Yotam Shabtie, and Patrick Kingsley .

The Daily is made by Rachel Quester, Lynsea Garrison, Clare Toeniskoetter, Paige Cowett, Michael Simon Johnson, Brad Fisher, Chris Wood, Jessica Cheung, Stella Tan, Alexandra Leigh Young, Lisa Chow, Eric Krupke, Marc Georges, Luke Vander Ploeg, M.J. Davis Lin, Dan Powell, Sydney Harper, Mike Benoist, Liz O. Baylen, Asthaa Chaturvedi, Rachelle Bonja, Diana Nguyen, Marion Lozano, Corey Schreppel, Rob Szypko, Elisheba Ittoop, Mooj Zadie, Patricia Willens, Rowan Niemisto, Jody Becker, Rikki Novetsky, John Ketchum, Nina Feldman, Will Reid, Carlos Prieto, Ben Calhoun, Susan Lee, Lexie Diao, Mary Wilson, Alex Stern, Dan Farrell, Sophia Lanman, Shannon Lin, Diane Wong, Devon Taylor, Alyssa Moxley, Summer Thomad, Olivia Natt, Daniel Ramirez and Brendan Klinkenberg.

Our theme music is by Jim Brunberg and Ben Landsverk of Wonderly. Special thanks to Sam Dolnick, Paula Szuchman, Lisa Tobin, Larissa Anderson, Julia Simon, Sofia Milan, Mahima Chablani, Elizabeth Davis-Moorer, Jeffrey Miranda, Renan Borelli, Maddy Masiello, Isabella Anderson and Nina Lassam.

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