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

  • Grades 6-12
  • School Leaders

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Check Out These 50 Fifth Grade Math Word Problems of the Day

Three trains pulled into the station at 3 p.m.

problem solving in math grade 5

Opening your daily math lesson with a Fifth Grade Math Word Problem of the Day is an excellent way to set the stage for learning! Incorporate them at the start of your math block to build confidence, critical thinking skills, and a learning community. Students will get used to reading for meaning while also identifying key information. Encourage students to write out equations and draw pictures to explain their thinking, since this helps them see the light when they are stuck!

Topics in these fifth grade math word problems cover patterns and place value, addition and subtraction, multiplication, division, fractions, decimals, measurement, and comparisons.

Want this entire set of word problems in one easy document? Get your free Google Sheet bundle by submitting your email here . All you need to do is post one of the problems on your whiteboard or projector screen. Then let kids take it from there.

50 Fifth Grade Math Word Problems

1. three trains pulled into the station at 3 p.m. the menton train had 2,589 passengers. the reston train had 671 passengers. the pearson city train had 1,024 passengers. how many passengers were there all together.

Three trains pulled into the station at 3 p.m. The Menton train had 2,589 passengers. The Reston train had 671 passengers. The Pearson City train had 1,024 passengers. How many passengers were there all together?- fifth Grade Math Word Problems

2. Grow Up Farmer’s Market had 4 crates of lemons delivered. One crate had 2,100 lemons. Two other crates had 2,010 lemons. The last crate had 1,999 lemons. How many lemons were delivered in all?

Grow Up Farmer’s Market had 4 crates of lemons delivered. One crate had 2,100 lemons. Two other crates had 2,010 lemons. The last crate had 1,999 lemons. How many lemons were delivered in all?

3. Ruffle Truffle Candy Company got an order for 850 chocolate truffles from the candy shop. They also got an order for 7,309 truffles from a food store. Then one more order came in for 3,125 truffles from a restaurant. How many truffles does the factory have to make to fill these orders?

Ruffle Truffle Candy Company got an order for 850 chocolate truffles from the candy shop. They also got an order for 7,309 truffles from a food store. Then one more order came in for 3,125 truffles from a restaurant. How many truffles does the factory have to make to fill these orders?

4. The Tri-City Peninsula has 3 cities. 405,245 people live in Sunset City. 695,212 people live in Sunrise City. 415,937 people live in Sunup City. How many people live on Tri-City Peninsula all together?

The Tri-City Peninsula has 3 cities. 405,245 people live in Sunset City. 695,212 people live in Sunrise City. 415,937 people live in Sunup City. How many people live on Tri-City Peninsula all together?- fifth Grade Math Word Problems

5. Smiley’s Greeting Card Store ordered 25,294 birthday cards and 15,280 Mother’s Day cards to sell last year. They sold 11,065 Mother’s Day cards and 24,229 birthday cards. How many birthday cards did they have left?

Smiley’s Greeting Card Store ordered 25,294 birthday cards and 15,280 Mother’s Day cards to sell last year. They sold 11,065 Mother’s Day cards and 24,229 birthday cards. How many birthday cards did they have left?

6. Flyaway Airlines has 3 flights to New Park City every day from San Sandoz. Each plane seats 400 passengers. On Monday, the first flight had 325 passengers. The second flight had 387 passengers. The third flight had 221 passengers. How many empty seats were there all together?

Flyaway Airlines has 3 flights to New Park City every day from San Sandoz. Each plane seats 400 passengers. On Monday, the first flight had 325 passengers. The second flight had 387 passengers. The third flight had 221 passengers. How many empty seats were there all together?- fifth Grade Math Word Problems

7. In 1999 a million people lived in Western Deskateria. 350,268 are native to that country. The rest have moved there from another country. How many people have moved there from somewhere else?

In 1999 a million people lived in Western Deskateria. 350,268 are native to that country. The rest have moved there from another country. How many people have moved there from somewhere else?

8. Birthday candles from The Happy Hippy Candle Company are sold in packs of 8. They manufactured 6,000 boxes this past week and sold 8,000 candles. How many boxes of candles did they sell this past week?

Birthday candles from The Happy Hippy Candle Company are sold in packs of 8. They manufactured 6,000 boxes this past week and sold 8,000 candles. How many boxes of candles did they sell this past week?

9. Some of the new books in the South City Library were non-fiction. There were 25,025 new hardback books and 7,333 new paperbacks. 15,000 hardbacks were fiction. How many hardback books were non-fiction?

Some of the new books in the South City Library were non-fiction. There were 25,025 new hardback books and 7,333 new paperbacks. 15,000 hardbacks were fiction. How many hardback books were non-fiction?- fifth Grade Math Word Problems

10. Giganto Mall has 6 levels. The top 5 levels each have 2,950 workers. There are 15,000 workers at the mall. How many workers work on the bottom level?

Giganto Mall has 6 levels. The top 5 levels each have 2,950 workers. There are 15,000 workers at the mall. How many workers work on the bottom level?

11. There are 96 frozen turkeys and 65 hams in the meat freezer at Frosty Food Mart. Each turkey weighs 19 pounds. Each ham weighs 10 pounds. How much do the turkeys weigh all together?

There are 96 frozen turkeys and 65 hams in the meat freezer at Frosty Food Mart. Each turkey weighs 19 pounds. Each ham weighs 10 pounds. How much do the turkeys weigh all together?- fifth Grade Math Word Problems

12. Each new dictionary purchased for the school has 355 pages. There are 35 dictionaries ready for each classroom. They weigh almost 300 pounds. How many pages is that in total?

Each new dictionary purchased for the school has 355 pages. There are 35 dictionaries ready for each classroom. They weigh almost 300 pounds. How many pages is that in total?

13. Each Penguin Fruit Tree has 10,251 leaves. There were 96 fruit trees in Uncle Arch’s Orchard. Half of them were Penguin Fruit Trees. How many leaves were there on those Penguin Fruit Trees all together?

Each Penguin Fruit Tree has 10,251 leaves. There were 96 fruit trees in Uncle Arch’s Orchard. Half of them were Penguin Fruit Trees. How many leaves were there on those Penguin Fruit Trees all together?- fifth Grade Math Word Problems

14. Benny’s Bait Shop sells worms in 12 packs. There are twelve packs in a gross. They sold 12 gross of worms this week. How many worms did they sell this week?

Benny’s Bait Shop sells worms in 12 packs. There are twelve packs in a gross. They sold 12 gross of worms this week. How many worms did they sell this week?

15. The Kwik Kar Rental Company has 27 locations in 12 states. They have 1,350 cars to rent out. If they distribute all the cars evenly among their locations, how many cars will each location get?

The Kwik Kar Rental Company has 27 locations in 12 states. They have 1,350 cars to rent out. If they distribute all the cars evenly among their locations, how many cars will each location get?

16. It was a sellout crowd at the football game. There were 42,500 fans in attendance. Every seat was filled. There are 85 rows of seats that wrap around the stadium. There is the same number of seats in every row. How many fans were seated in each row?

It was a sellout crowd at the football game. There were 42,500 fans in attendance. Every seat was filled. There are 85 rows of seats that wrap around the stadium. There is the same number of seats in every row. How many fans were seated in each row?- fifth Grade Math Word Problems

17. Mr. Sketch had 180 colored pencils in his classroom art bin. He bought new boxes of colored pencils that had 10 in a box. Now he has 400 colored pencils. How many new boxes did he buy?

18. 4,500 people arrived at the stadium for the rock concert on buses. another 4,500 came by train. the rest came in cars. each bus could hold 225 people and every bus was filled. how many buses were there.

4,500 people arrived at the stadium for the rock concert on buses. Another 4,500 came by train. The rest came in cars. Each bus could hold 225 people and every bus was filled. How many buses were there?

19. Super Duper Corporation pays rent on their big headquarters building every month. Last year they paid $60,756 in rent and about the same amount on heat. They pay the same amount every month for the rent. How much is the rent per month?

Super Duper Corporation pays rent on their big headquarters building every month. Last year they paid $60,756 in rent and about the same amount on heat. They pay the same amount every month for the rent. How much is the rent per month?

20. Straight Arrow Dress Shirts sold a lot of dress shirts last month. Each shirt has 7 buttons down the front and 1 button on each sleeve. They used 72,000 buttons on the shirts sold last month. How many shirts did they sell?

Straight Arrow Dress Shirts sold a lot of dress shirts last month. Each shirt has 7 buttons down the front and 1 button on each sleeve. They used 72,000 buttons on the shirts sold last month. How many shirts did they sell?- fifth Grade Math Word Problems

21. Lake Louie has boats that take tourists on cruises around the lake. On Saturday, 8,112 tourists wanted to cruise around the lake. 3 boats cruise at a time in a shift. Each boat holds 500 people. A cruise lasts 30 minutes. How many shifts did they need to run so every tourist could cruise?

problem solving in math grade 5

22. Superstar Sam is a professional baseball player and practices pitching every day. He spent 12,000 minutes practicing his pitching in July. He practices batting for 1 hour each week. How many hours did he practice his pitching in July?

Superstar Sam is a professional baseball player and practices pitching every day. He spent 12,000 minutes practicing his pitching in July. He practices batting for 1 hour each week. How many hours did he practice his pitching in July?- fifth Grade Math Word Problems

23. The new sidewalk leading up to the front door of Elemental Elementary School was 55 feet long and 36 inches wide. 25 feet of it were painted gold and the rest was silver. How many inches long was the silver section?

The new sidewalk leading up to the front door of Elemental Elementary School was 55 feet long and 36 inches wide. 25 feet of it were painted gold and the rest was silver. How many inches long was the silver section?

24. The Dig-It Mining Company dug up 12,000 pounds of a rare mineral, Bobodium, every day for a week. They sell it in 8-ounce boxes. How many boxes will they need to pack up that week’s Bobodium?

The Dig-It Mining Company dug up 12,000 pounds of a rare mineral, Bobodium, every day for a week. They sell it in 8 ounce boxes. How many boxes will they need to pack up that week’s Bobodium?

25. Rita Writealot, the famous author, is visiting Collegial College and giving everyone who attends one of her two lectures 2 of her books. 600 people came to her first lecture. The second lecture had a good turnout also. She gave out 2,468 books all together. How many people came to her second lecture?

Rita Writealot, the famous author, is visiting Collegial College and giving everyone who attends one of her two lectures, 2 of her books. 600 people came to her first lecture. The second lecture had a good turnout also. She gave out 2,468 books all together. How many people came to her second lecture?- fifth Grade Math Word Problems

26. Mr. Amazing is preparing his magic act. There are 12,366 gold coins that he uses in one of his acts. He uses some in each scheduled appearance. He put aside 229 gold coins for each appearance. How many appearances is he planning on?

Mr. Amazing is preparing his magic act. He has 12,366 gold coins that he uses in one of his acts. He uses some in each scheduled appearance. He put aside 229 gold coins for each appearance. How many appearances is he planning on?

27. Rick has 4/5 of a Choco-bar. Sid has 6/7 of a Choco-bar. Nick has 6/8 of a Choco-bar. Who has the biggest piece of a Choco-bar?

28. ginny has 6/4 of some watermelons. william has 3/9 of another watermelon. steve has ½ of a different watermelon. who has the smallest amount of watermelon.

Ginny has 6/4 of some watermelons. William has 3/9 of another watermelon. Steve has ½ of a different watermelon. Who has the smallest amount of watermelon?- fifth Grade Math Word Problems

29. Luz is going to make a cheese dip. She bought ½ pound of American cheese. She also bought ¾ pound of Swiss cheese and ¼ pound of cheddar cheese. How much cheese did she buy?

Luz is going to make a cheese dip. She bought ½ pound of American cheese. She also bought ¾ pound of Swiss cheese and ¼ pound of Cheddar cheese. How much cheese did she buy?

30. Mercy had to select how much of a pepperoni pizza she wanted. She could have 7/8, 8/16, or 8/10. If she wants the most pizza, which amount should she choose?

Mercy had to select how much of a pepperoni pizza she wanted. She could have 7/8, 8/16, or 8/10. If she wants the most pizza, which amount should she choose?

31. Explorer Elmo Adventure found an ancient site with gold bars. He found three. The first was 5/12 of a pound. The second bar was 7/12 of a pound, and the third was 3/6 of a pound. How much did the bars weigh all together?

Explorer Elmo Adventure found an ancient site with gold bars. He found three. The first was 5/12 of a pound. The second bar was 7/12 of a pound, and the third was 3/6 of a pound. How much did the bars weigh all together?- fifth Grade Math Word Problems

32. Sandy had 3/4 of a loaf of fresh-baked bread her mom made. She gave half of it to her cousin Stella. How much of the loaf did Sandy have left?

Sandy had 3/4 of a loaf of fresh baked bread her mom made. She gave half of it to her cousin Stella. How much of the loaf did Sandy have left?

33. The fifth grade teacher, Ms. Marvelous, had 9/10 of an apple pie. She gave 3/10 to her principal, Mr. Pal, and 3/10 to her co-teacher, Mrs. Merry. How much pie did Ms. Marvelous have left?

The fifth grade teacher, Ms. Marvelous, had 9/10 of an apple pie. She gave 3/10 to her principal, Mr. Pal, and 3/10 to her co-teacher, Mrs. Merry. How much pie did Ms. Marvelous have left?

34. Grace was laying pieces of ribbon she had end-to-end. The blue piece was 3/12 of a foot. The red piece was ½ of a foot and the white piece was 8/12 of a foot long. How long was the total?

Grace was laying pieces of ribbon she had end-to-end. The blue piece was 3/12 of a foot. The red piece was ½ of a foot and the white piece was 8/12 of a foot long. How long was the total?- fifth Grade Math Word Problems

35. Rob was reading a book that had 400 pages. He read 1/3 of it on Monday and another ¼ of it on Tuesday. What fraction of the book does he have left to read?

Rob was reading a book that had 400 pages. He read 1/3 of it on Monday and another ¼ of it on Tuesday. What fraction of the book does he have left to read?

36. Ty had ½ of his whole birthday cake left. He gave his sister, Janelle, ¼ of that. How much of the whole cake did Janelle get?

Ty had ½ of his whole birthday cake left. He gave his sister, Janelle, ¼ of that. How much of the whole cake did Janelle get?

37. The high school football team was meeting for the first time for practice. There were 64 players. ¾ of them were seniors. The rest were underclassmen. How many players were underclassmen?

The high school football team was meeting for the first time for practice. There were 64 players. ¾ of them were seniors. The rest were underclassmen. How many players were underclassmen?- fifth Grade Math Word Problems

38. The treasure hunters dug up a shoebox with $1,500 in it. There were five people on the treasure hunter team, so each got to keep 1/5 of the money. How much money did each person get to keep?

The treasure hunters dug up a shoebox with $1,500 in it. There were five people on the treasure hunter team, so each got to keep 1/5 of the money. How much money did each person get to keep?

39. Tristan only has 1/8 of his deck left to paint. The whole deck has a total area of 100 square feet. He figured he could get ½ of what’s left done on Friday and the rest on Saturday. What fraction of the total deck does he plan to paint on Saturday?

40. three friends were keeping track of their running. these are the results from their runs on saturday. paige ran 0.75 miles. tanner ran 0.09 miles. liza ran 0.706 miles. who ran the farthest.

Three friends were keeping track of their running. These are the results from their runs on Saturday. Paige ran 0.75 miles. Tanner ran 0.09 miles. Liza ran 0.706 miles. Who ran the farthest?- fifth Grade Math Word Problems

41. Gary’s professional kickball cards are divided among 3 teams. ¼ of his cards are San Fransisco Seals players. 0.25 are New York Yaks players. The rest play for the Nova Scotia Salmon. What decimal would best describe how much of his collection is Salmon players?

Gary’s professional kickball cards are divided among 3 teams. ¼ of his cards are San Fransisco Seals players. 0.25 are New York Yaks players. The rest play for the Nova Scotia Salmon. What decimal would best describe how much of his collection is Salmon players?

42. Molly the miner was weighing small amounts of gold dust. She had 3 packets of gold dust. They weighed 0.29 ounces, 1.07 ounces, and 0.92 ounces. She has to get 3 ounces of gold dust before she sells it. How much more gold dust does she need to make the sale?

Molly the miner was weighing small amounts of gold dust. She had 3 packets of gold dust. They weighed 0.29 ounces, 1.07 ounces, and 0.92 ounces. She has to get 3 ounces of gold dust before she sells it. How much more gold dust does she need to make the sale?

43. Heather has 4 bank accounts. The first has $25.09 in it. The second has $106.75 in it and the third and fourth each have $108.08 in them. What is the total amount of money Heather has in these accounts?

44. each member of kirk’s family got a payment of $1,070.09 from their family business. there are 12 people in kirk’s family, including him. they range in age from 12 to 99. how much did the family get paid in total.

Each member of Kirk’s family got a payment of $1,070.09 from their family business. There are 12 people in Kirk’s family, including him. They range in age from 12 to 99. How much did the family get paid in total?

45. The number of t-shirts Ollie sells at the flea market runs in a predictable pattern. He sold 120 shirts in January, 60 shirts in February, 240 shirts in March, 120 shirts in April, 480 shirts in May, and 240 shirts in June. If the pattern of sales continues, how many shirts will he sell in August?

The number of t-shirts Ollie sells at the flea market runs in a predictable pattern. He sold 120 shirts in January, 60 shirts in February, 240 shirts in March, 120 shirts in April, 480 shirts in May, and 240 shirts in June. If the pattern of sales continues, how many shirts will he sell in August?

46. A number code is used to unlock the special vault. Three numbers must be entered in the correct order on a keypad numbered 0-100. The first is an odd number less than 20 that has 2 digits, both the same. The second number is even and is ½ of the number that is ¼ of 16. The third number is the product of the first two numbers and then doubled. What is the code?

A number code is used to unlock the special vault. Three numbers must be entered in the correct order on a keypad numbered 0-100. The first is an odd number less than 20 that has 2 digits, both the same. The second number is even and is ½ of the number that is ¼ of 16. The third number is the product of the first two numbers and then doubled. What is the code?- fifth Grade Math Word Problems

47. Kim noticed this pattern on an old piece of parchment. 2, 5, 11, 23, 47, 95. Kim figured out the next two numbers. What are they?

Kim noticed this pattern on an old piece of parchment. 2, 5, 11, 23, 47, 95. Kim figured out the next two numbers. What are they?

48. Al is 5 years older than Ted. Ted is 2 years older than Alice. Alice is a year younger than Fran. Fran is 8 years old. How old is Al?

Al is 5 years older than Ted. Ted is 2 years older than Alice. Alice is a year younger than Fran. Fran is 8 years old. How old is Al?

49. Liam finally got to the ferry dock at 4 p.m. He had taken the train to the ferry from Chairtown station. That train took half an hour to get to the ferry. To get to the station, he had driven for 4 and a half hours from Deskville Airport. He flew to Deskville from Tabletown Airport that morning. The flight was 2 and a half hours. What time did he fly out of Tabletown Airport?

problem solving in math grade 5

50. Chris worked three jobs on Saturday. She mowed a lawn and finished it at 6 p.m. She washed windows for 3 hours. Also, she washed, waxed, and vacuumed 3 cars. Each car took an hour and a half to do. Chris started her day working at 9 a.m. How many minutes did it take her to mow the lawn?

Chris worked three jobs on Saturday. She mowed a lawn and finished it at 6 p.m. She washed windows for 3 hours. She also washed, waxed, and vacuumed 3 cars. Each car took an hour and a half to do. Chris started her day working at 9 a.m. How many minutes did it take her to mow the lawn?- fifth Grade Math Word Problems

Get a Google Sheet version of these fifth grade math word problems here!

Did you like these fifth grade math word problems check out our fifth grade hub for even more resources..

Looking for daily fifth grade math word problems? Look no further! Share these with your students to practice all their math concepts.

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Check Out These 50 Fourth Grade Math Word Problems of the Day

Check Out These 50 Fourth Grade Math Word Problems of the Day

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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

5th Grade math problems worksheets with answers: Practice makes perfect - How do you solve multi step word problems?

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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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Grade 5 Math Worksheets

Related Pages Math Worksheets according to Topics Math Worksheets according to Grades Interactive Zone Grade 5 Math Lessons

These free interactive math worksheets are suitable for Grade 5. Use them to practice and improve your mathematical skills.

Prime Numbers

Prime Numbers (Up to 10) Prime Numbers (Up to 20) Prime Numbers (Up to 50) Prime Numbers (up to 100)

Prime Numbers (Sprint)

Multiples and Factors

Least Common Multiple Greatest Common Factor/Divisor

Addition Worksheets

Add two 4-digits Add two 5-digits

Chain Addition (2 digits, 3 addends) Chain Addition (3 digits, 3 addends) Chain Addition (4 digits, 3 addends) Chain Addition (2 digits, 4 addends) Chain Addition (3 digits, 4 addends) Chain Addition (4 digits, 4 addends)

Subtraction Worksheets

Subtract two 4-digits Subtract two 5-digits

Multiplication Worksheets

Printable Multiply Multi-digit by 1-digit (eg. 6,435 x 7) Multiplication Word Problems

2-step Word Problems (using +, -, ×) Multi-step Word Problems (using +, -, ×)

Multiply 2-digit by 2-digit (eg. 35 × 24) Multiply 3-digit by 2-digit (eg. 215 × 32)

Generated Multiply 2-digits by 1-digit Multiply 3-digits by 1-digit Multiply 2-digits by 2-digits Multiply 3-digits by 2-digits

Division Worksheets

Printable Division Facts (Random Order) Divide by Multiples of 10 (eg. 6,300 ÷ 300)

Long Division with or without Remainders Divide 2-digit by 1-digit (eg. 74 ÷ 3) Divide 3-digit by 1-digit (eg. 576 ÷ 5) Divide 4-digit by 1-digit (eg. 3,870 ÷ 4)

Divide by 2-digit Divisors

Division Word Problems Division Word Problems (2-digit ÷ 1-digit) Division Word Problems (3-digit ÷ 1-digit) Division Word Problems (4-digit ÷ 1-digit)

Generated Divide 2-digits by 1-digit Divide 3-digits by 1-digit Divide 2-digits by 2-digit Divide 3-digits by 2-digit Divide 2-digits by 1-digit (with remainder) Divide 3-digits by 1-digit (with remainder) Divide 2-digits by 2-digits (with remainder) Divide 3-digits by 2-digits (with remainder)

Order of Operations Worksheets (PEMDAS, BEDMAS)

Order of Operations (+, -, ×, parenthesis) Order of Operations (+, -, ×, ÷, parenthesis) Order of Operations (+, -, ×, ÷, parenthesis, exponents)

Order of Operations (+, –) Order of Operations (parenthesis, +, –) Order of Operations (×, ÷ ) Order of Operations (parenthesis, ×, ÷) Order of Operations (×, ÷, +, –) Order of Operations (parenthesis, ×, ÷, +, –) Order of Operations (parenthesis, ×, ÷, +, –) Order of Operations (parenthesis, exponent, ×, ÷ +, –) Order of Operations (mixed) Order of Operations (mixed) Order of Operations (mixed)

Decimal Worksheets

Write Decimals in Words Write Decimals in Numerals

Compare Decimals Order Decimals

Round Decimals (nearest whole number) Round Decimals (nearest tenths) Round Decimals (nearest hundredths) Round Decimals (different place values)

Adding Decimals Subtracting Decimals

Multiply Decimals by 10, 100, 1000 Divide Decimals by 10, 100, 1000

Multiply Decimals by Powers of 10 (eg. 3.2 × 10 3 ) Divide Decimals by Powers of 10 (eg. 74.2 ÷ 10 3 )

Multiply Decimals by Whole Numbers (eg. 3.12 × 8) Divide Decimals by Whole Numbers (eg. 7.28 ÷ 4)

Rounding Decimals (nearest whole number) Rounding Decimals (nearest tenths) Rounding Decimals (nearest hundredths) Rounding Decimals (mixed)

Adding Decimals (Tenths) Adding Decimals (Hundredths) Adding Decimals (Thousandths) Adding Decimals (Thousandths) Subtract Decimals (Tenths) Subtract Decimals (Hundredths) Subtract Decimals (Thousandths) Subtract Decimals (Thousandths)

Multiply Decimals by Tens (10s, 100s, 1000s) Multiply Decimals by Whole Number (1-digit) Multiply Decimals by Whole Number (Multi-digit) Multiply two Decimals Divide Decimals by Ten (10s, 100s, 1000s) Division with Decimal Quotients (Tenths) Division with Decimal Quotients (Hundredths)

Decimal Word Problems (One-Step, Addition $ Subtraction) Decimal Word Problems (Two-Step, Addition $ Subtraction) Decimal Word Problems (Mixed Operations) Decimal Word Problems (Mixed Operations)

Changing Decimals to Fractions Changing Fractions to Decimals (with denominators 10, 100, 1,000)

Fraction Worksheets

Equivalent Fractions Reduce Fractions (proper fractions) Simplify Fractions (proper & improper fractions)

Improper Fractions to Mixed Numbers Mixed Numbers to Improper Fractions

Add Like Fractions Add Unlike Fractions

Subtract Like Fractions Subtract Unlike Fractions Subtract Fraction from Whole Number

Add Mixed Numbers (like denominators) Add Mixed Numbers (unlike denominators)

Subtract Mixed Numbers (like denominators, no regrouping) Subtract Mixed Numbers (like denominators, regrouping) Subtract Mixed Numbers (unlike denominators, no regrouping) Subtract Mixed Numbers (unlike denominators, regrouping)

Multiply Fractions with Canceling Multiply Fractions & Whole Numbers Multiply Mixed Numbers

Equivalent Fractions Compare Fractions Improper fractions to mixed numbers Mixed numbers to improper fractions Greatest Common Factor Simplify Fractions

Add Fractions (with common denominator & no simplifying) Subtract Fractions (with common denominator & no simplifying) Add & Subtract Fractions (with common denominator & simplifying answers) Least Common Multiple or Least Common Denominator Add & Subtract Fractions (with unlike denominators & step-by-step guide) Add & Subtract Fractions (with unlike denominators) Add Fractions (mixed) Subtract Fractions (mixed)

Multiply Fractions by Whole Numbers Multiply Two Fractions Divide Whole Numbers by Fractions Divide Fractions by Whole Numbers Divide Fractions by Fractions Divide Two Fractions

Adding Mixed Numbers Subtracting Mixed Numbers Add Mixed Numbers Subtract Mixed Numbers

Fraction Word Problems Adding & Subtracting Fractions Fraction Word Problems Adding & Subtracting Mixed Numbers (One-Step) Fraction Word Problems Adding & Subtracting Mixed Numbers (Two-Step) Fraction Word Problems Adding & Subtracting Mixed Numbers (Two-Step)

Measurement Worksheets

Temperature Conversion Celsius to Fahrenheit Temperature Conversion Fahrenheit to Celsius Temperature Conversion Mixed

Standard Measurement Conversion Metric Measurement Conversion

Metric Length Conversion (mm, cm, m, km) Adding lengths (km, m, cm, mm) Subtracting Lengths (km, m, cm, mm) Multiplying Lengths (km, m, cm, mm) Dividing Lengths (km, m, cm, mm)

Metric Weight Conversion (kg, g, mg) Adding and Subtracting Weights (kg, g, mg) Multiplying Weights (kg, g, mg) Dividing Weights (kg, g, mg)

Time Worksheets

Time Conversion (weeks, days, hours, minutes, seconds) Adding and Subtracting Time Multiplying and Dividing Time Time Word Problems (Elapsed Time) Convert from 12-hr System to 24-hr System Convert from 24-hr System to 12-hr System Calculate Time Intervals in 12-hr System and 24-hr System

Algebra Worksheets

Evaluate Expressions by Substitution Simplify Expressions by Combining Like Terms Simplify Expressions using Distributive Property Simplify Expressions using Distributive Property & Combine Like Terms

Solving One-Step Equations Solving Two-Step Equations Solving Equations by Combining Like Terms Solving Equations with the Variable on Both Sides Solving Equations by Distributive Property Solving Multi-Step Equations Solving Multi-Step Equations Solving Word Problems using Algebra

Ratio Worksheets

Ratio of Quantities Ratio Word Problems I Ratio Word Problems II Ratio Word Problems III Ratio Word Problems IV Ratio with Algebra

Percent Worksheets

Changing Percents to Decimals and Fractions Changing Percents to Fractions in Lowest Terms Changing Percents to Fractions Changing Fractions to Percents Changing Fractions to Percents Changing Decimals to Percents

Percentages (What is X% of Y) Percentages (X is what % of Y) Percentages (X is Y% of what) Percent of a Number Finding Percent Finding the Base

Geometry Worksheets

Names of Polygons Give the number of sides Names of Polygons Give the names of polygons Types of Angles (Acute, Obtuse, Reflex) Angles in a Straight Line Angles at a Point Complementary Angles Supplementary Angles

Area & Perimeter of Rectangles Area & Perimeter of Rectangles Area & Perimeter of Rectangles Area & Perimeter of Parallelogram Area of Triangle Area of Parallelograms Area of Triangle & Parallelogram Area of Trapezoid Area of Shapes Area of Shaded Region (rectangles & triangles)

Printable Volume of Rectangular Prisms Volume of Composite Rectangular Prisms

Generated Surface Area & Volume of Cubes Surface Area & Volume of Rectangular Prisms or Cuboids

Statistics Worksheets

Mode Median Mean Range Mean, Median & Mode Mean, Median & Mode Find the possible values for the Median Given the Mean, find the missing number(s) in a set Word problems that involve the Mean Word problems that involve the Mean

Prime Numbers (up to 10, 20), Prime Numbers (up to 50, 100), Least Common Multiple, Greatest Common Factor,

Addition, Subtraction, Multiplication, Division, Division with Remainder, Order of Operations (PEMDAS),

Rounding Decimals, Adding Decimals, Subtract Decimals, Multiply Decimals by Tens, Multiply Decimals by Whole Number, Multiply two Decimals, Divide Decimals by Ten, Division with Decimal Quotients, Decimals and Fractions, Decimal Word Problems,

Equivalent Fractions, Simplify Fractions, Compare Fractions, Convert between Improper Fractions and Mixed Numbers, Add Fractions with Like Denominators, Add Fractions with Unlike Denominators, Subtract Fractions with Like Denominators, Subtract Fractions with Unlike Denominators, Multiply Fractions by Whole Numbers, Multiply Two Fractions, Divide Fractions by Whole Numbers, Divide Two Fractions, Add Mixed Numbers, Subtract Mixed Numbers, Fraction Word Problems,

Add and Subtract Lengths, Add and Subtract Weights, Convert between Celsius and Fahrenheit,

Convert Time, Add and Subtract Time, Multiply and Divide Time, 12-hr and 24-hr System,

Types of Angles, Number of sides of Polygons, Names of Polygons, Perimeter and Area (Rectangles), Perimeter and Area (Triangles), Perimeter and Area (Parallelogram), Perimeter and Area (Trapezoids), Volume of Cubes, Volume of Rectangular Prisms, Surface Area of Cubes, Surface Area of Rectangular Prisms,

Add and Subtract Like Terms, Distributive Property, Solve One-Step Algebra Equations, Solve Two-Step Algebra Equations, Solve Equations involving Like Terms,

Ratio, Proportion, Percent,

Mean, Median, Mode, Range, Statistics Word Problems.

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problem solving in math grade 5

Grade 5 Word Problem Worksheets

Free printable fifth grade math worksheets to help your students improve their ability to solve word problems! Applying mathematical concepts to solve word problems can be challenging. These free worksheets are great repetition for your students! Scroll down to access all of the free grade 5 word problem worksheets. For more word problem resources, click on the image to the right to check out the word problem task cards. They cover a range of different math concepts for students in grades 4 & 5. 

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5th Grade Math Word Problems Real-Life Problems

Welcome to our 5th Grade Math Word Problems page. Here you will find our range of Fifth Grade Math Problem Worksheets which will help your child apply and practice their Math skills to solve a range of 'real life' problems.

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5th Grade Math Word Problems

Here you will find a range of problem solving worksheets.

The sheets involve using a range of math skills and knowledge to solve problems.

Each problem sheet is available in both standard and metric units (where appropriate), and come complete with an answer sheet.

The sheets in this section have all come from 'real life' data such as mountains, rivers or space. Children will be able to apply their math to solve and answer 'real' problems.

Using these sheets 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 'real life' problems.

5th Grade Word Problems

The 7 longest rivers.

The 7 longest rivers involves adding and subtracting numbers in the thousands, and also place value and ordering numbers to 10,000.

  • 7 Longest Rivers metric units
  • PDF version
  • 7 Longest Rivers standard units

On the Mountains

On the mountains involves addition and subtraction of numbers to 5 digits, and also rounding and ordering numbers to 10,000 (metric) or 100,000 (standard).

  • On the Mountains metric units
  • On the Mountains standard units

Temperatures around the world

This problem worksheet involves ordering positive and negative numbers, as well as working out differences between positive and negative numbers. The mean and median temperatures also need to be calculated.

  • Temperatures Around the World 3 (Celsius)
  • Temperatures Around the World 3 (Fahrenheit)

The Solar System

The Solar System worksheets involves doubling numbers and rounding to the nearest 1000. Addition and subtraction of large numbers to 5 digits, ordering large numbers and approximation are also tackled.

  • The Solar System (Metric units)
  • The Solar System (Standard units)

US National Parks

This 5th grade math word problem sheet involves addition and subtraction of large numbers to 5 digits, place value and ordering. Approximation and multiplication are also used.

  • US National Parks (metric units)
  • US National Parks (standard units)

Salamanders of the Caribbean Problems

This problem sheet involves rounding and ordering BIG numbers up to 12 million to the nearest 1000, as well as addition and subtraction of the numbers.

  • Salamanders of the Caribbean problems

Nearest Stars

This problem sheet involves rounding decimals to the nearest whole number, as well as ordering decimals to 2 decimal places. Adding and subtracting decimals, and doubling decimals are also used.

  • Nearest stars

Whales Problems

This worksheet involves ordering decimals to 1 or 2dp, as well as ordering large numbers. Addition and subtraction of large numbers and decimals is also used, as well as approximation and multiplication.

  • Whale problems metric units
  • Whale problems standard units

More Recommended Math Worksheets

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

Ratio Problems

Here you will find a selection of ratio problem sheets which will help your child practice and apply their ratio knowledge and skills to solve a range of problems.

Looking for some easier word problems?

If you are looking for some easier math problems, why not try our 4th grade math problem page.

The problems on this page are at an easier level than those here.

The numbers are simpler and the problems themselves are less complex.

  • 4th Grade Math Word Problems

More 5th Grade Math Problems

Here you will some 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:

  • 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 a range of ratio problems.

  • Multiplication Word Problems 5th Grade
  • 5th Grade Measurement Worksheets

Here is our selection of measurement worksheets for 5th graders.

These sheets involve reading scales in both the standard and metric systems.

The scales include finding the length, weight or liquid capacity.

Using these sheets will help your child understand how to:

  • learn how to read a standard scale going up in different fractions: halves, quarters, eighths and sixteenths;
  • learn how to read a metric scale going up in 0.1s, 5s, 10s, 25s, 50s & 100s;
  • learn how to estimate a measurement of length, weight or liquid.

Using these sheets will help children to consolidate their fractions and place value learning.

Fifth Grade Math Games

Here you will find a range of free printable 5th Grade Math games.

All children like to play Math games, and you will find a good range of Grade 5 Math Games here for your child to play and enjoy.

The following games involve different 5th Grade Math activities which you and your child can enjoy together.

  • Math Games 5th Grade

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problem solving in math grade 5

35 math problems for 5th graders

Here are 35 fifth-grade math problems that will help your child stay on track!

headshot of amber watkins #2

Author Amber Watkins

problem solving in math grade 5

Published September 13, 2023

problem solving in math grade 5

  • Key takeaways
  • 5th-grade math word problems help students apply mathematical concepts to real-world scenarios.
  • In fifth-grade math, it’s important to master fractions, decimals, and order of operations.
  • Hard problems for 5th graders can be simplified by drawing a picture or using a method that makes them easier to solve.

Table of contents

  • Word problems

Numbers & place value

  • Multiplication

If this math page has 5 sections of math problems for 5th graders with an average of 7 questions in each section, can you guess how many problems there will be in all? That’s right, there will be a total of 35 math problems for 5th graders for us to practice. Without realizing it, you just solved one of our first 5th-grade math word problems . Excellent work! Together we will review fifth-grade math problems with decimals, fractions, order of operations, and rounding. We will even consider hard math problems for 5th graders, like multiplying using square models and number lines. Don’t worry about getting the answers right the first time, each section includes math problems for 5th graders with answers if you need a sneak peek. So grab a pad and pencil and let’s begin.

Word problems for 5th graders

Let’s begin by covering math word problems for 5th graders.

Doodle-Blog-NumberIcons_1

Mia’s water bottle can hold 24 ounces of water. She drinks two full water bottles each day. How many total cups of water does Mia drink each day? [Conversions]

problem solving in math grade 5

The playground is made up of four rectangular lots that are each 10 ft by 7 ft. What is the total area of the playground? [Finding area]

Doodle-Blog-NumberIcons_3

 Josh lives 2.5 miles away from the park. Josh rides his bike to the park and back home four days a week. How many miles does Josh ride his bike each week? [Calculations]

Since we are solving word problems, a word should always be in our answer.

In this section, we will cover math problems for 5th graders that use place values, word form to standard form, standard form to word form, and expanded form.

Place value

Which digit in the number 245 is in the hundreds place?

Which digit in the number 4,602 is in the tens place?

Which digit in the number 752 is in the ones place?

Word form to standard form

Standard form to expanded form.

4,000 + 300 + 2 = 4,302

600 + 50 + 4 = 654

20,000 + 2,000 + 300 + 60 + 5 = 22,365

In this section, we will cover fifth-grade math problems that include comparing decimals and rounding decimals to the nearest tenth, hundredth, and thousandths place. Let’s get started.

8.9 and 8.900 are the same.

Remember if the number to the right is 5 or larger, you can borrow and become one digit larger. If the number to the right is between 0 and 4, you can’t borrow and the number remains the same.

In this section, we will review math problems for fifth graders that cover the topics of adding and subtracting two and three-digit numbers using transformation, division using area models, and the order of operations .

Adding and subtracting whole numbers by transformation

A large portion of fifth-grade math problems can be made easier to solve by transformation or changing numbers to make the problem simpler. Let’s practice adding and subtracting two and three-digit numbers by transformation.

How to add numbers using transformation?

When adding or subtracting numbers, look for ways to round to make the problem simpler. Don’t forget what you do to one number, you have to do the opposite to the other. This makes sure the problem stays balanced. Let’s see how this is done. What is 48 + 52? 48 + 2 = 50

52 – 2 = 50 

50 + 50 = 100.

It may be difficult to add 48 + 52 in your head, so we round 48 to 50 by adding 2. Since we added 2 to the first number, we have to make sure to subtract 2 from the second number. So now the problem is 50 plus 50, which is much easier to calculate! 

32 – 2 = 30 68 + 2 = 70 30 + 70 = 100 The answer is 100.

208 – 8 = 200 432 + 8 = 440 200 + 440 = 640 The answer is 640.

321- 1 = 320 199 + 1 = 200 320- 200 = 120 The answer is 120

problem solving in math grade 5

Division using area models

Don’t know what an area model is? See our area model guide to help with these problems.

Using an area model find the quotient of 365 ፥ 5 =

problem solving in math grade 5

Using an area model find the quotient of 504 ፥ 6 =

Using the area model below, find the quotient of 872 ፥ 2 =

Order of operations

Many people remember the Order of Operations with the acronym PEMDAS- “Please Excuse My Dear Aunt Sally”, with each letter representing an operation: Parentheses, Exponents, Multiply or Divide, Add or Subtract. Solve the following equations using the order of operations.

Remember that the steps Multiply or Divide can be done in any order. Also, the steps Add or Subtract can be done in any order, do the operation that comes first.

Hard multiplication math problems

Some of the hardest math problems for fifth graders involve multiplying: multiplying using square models, multiplying fractions and whole numbers using expanded form, and multiplying fractions using number lines. Let’s practice a few of each!

Multiplying using square models

Multiplying using square models is a method to help students “see” multiplication problems in a simpler way.

Multiply 42 x 35 using the square model below.

problem solving in math grade 5

Multiply 55 x 76 using the square model below.

Multiply 98 x 42 using the square model below.

Multiplying fractions and whole numbers using expanded form

Multiply ½ x 5 using expanded form.

Multiply ⅔ x 6 using expanded form.

Multiply ⅙ x 7 using expanded form.

Multiplying fractions using a number line

Multiply ½ x 4/6 by using a number line.

For more math practice for 5th graders , our app for math help provides 5th-grade math help in a way that makes math fun, rewards effort over being correct, and scaffolds learning. Plus, you’ll get access to a dashboard that displays your child’s participation and progression on math topics they struggle with. Check it out today!

problem solving in math grade 5

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

problem solving in math grade 5

Word problem answer sheet

Mia drinks 6 cups of water each day. Explanation: There are 8 ounces in each cup. So 24 divided by 8 is equal to 3 cups each day.

280 square feet. Explanation: The area of one lot is 10 x 7 = 70 square feet. Take that area and times it by four, so 70 x 4 = 280 square feet.

problem solving in math grade 5

Josh rides 20 miles on his bike each week. Explanation: Each day Josh rides 5 total miles: 2.5 miles to the park and 2.5 miles back home. If we multiply that number by 4 days a week, it equals 20 miles in all.

problem solving in math grade 5

Writing numbers answer sheet

2 is in the hundreds place.

problem solving in math grade 5

0 is in the tens place.

problem solving in math grade 5

2 is in the ones place.

problem solving in math grade 5

Division using area models answer sheet

problem solving in math grade 5

Multiplying using square models answer sheet

problem solving in math grade 5

Multiplying fractions and whole numbers using expanded form answer sheet

problem solving in math grade 5

Multiplying fractions using a number line answer sheet

problem solving in math grade 5

Explanation – First divide the number line into 6 equal parts and draw up a line up to 4/6. Then find the ½ way mark of that line you drew up to 4/6. You will now see the line is divided into three parts. So the answer would be ⅓. 

Lesson credits

problem solving in math grade 5

Amber Watkins

Amber is an education specialist with a degree in Early Childhood Education. She has over 12 years of experience teaching and tutoring elementary through college level math. "Knowing that my work in math education makes such an impact leaves me with an indescribable feeling of pride and joy!"

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problem solving in math grade 5

Common Core - State Standards Initiative

Students learn the fundamentals of geometry, measurements, and algebra as they venture into more complex mathematical concepts. Our lively math teachers break down the skills into easy-to-understand lessons in on-demand videos. Lessons are available for students who are struggling with a particular skill or who just need a refresher. 

  • Math teachers teach students geometry, measurements, money, and algebra for the fifth-grade curriculum.
  • Students have instant help to learn the math skills needed for their assignments.
  • Teachers show students how to use the scratchpad to analyze and breakdown math problems.

Free Printable Multi-Step Word Problems Worksheets for 5th Grade

Multi-Step Word Problems: Discover a vast collection of free printable math worksheets for Grade 5 students, designed to help them master complex problem-solving skills through engaging and challenging exercises.

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Explore Multi-Step Word Problems Worksheets by Grades

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Explore Other Subject Worksheets for grade 5

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Explore printable Multi-Step Word Problems worksheets for 5th Grade

Multi-Step Word Problems worksheets for Grade 5 are an essential resource for teachers looking to challenge their students and enhance their problem-solving skills in Math. These worksheets provide a variety of real-life scenarios that require students to apply their knowledge of mathematical concepts and operations to solve problems. By incorporating multi-step word problems into their lesson plans, teachers can help students develop critical thinking and reasoning skills, as well as improve their ability to communicate their thought processes. Furthermore, these Grade 5 Math Word Problems worksheets are designed to align with the Common Core State Standards, ensuring that students are mastering the skills necessary for success in higher-level math courses. In conclusion, Multi-Step Word Problems worksheets for Grade 5 are an invaluable tool for teachers seeking to engage their students in meaningful and challenging mathematical tasks.

Quizizz is an innovative platform that offers a wide range of educational resources, including Multi-Step Word Problems worksheets for Grade 5, to help teachers create engaging and interactive learning experiences for their students. In addition to worksheets, Quizizz provides teachers with access to thousands of quizzes, games, and other activities that can be easily integrated into lesson plans to reinforce key concepts and assess student understanding. The platform also offers valuable features such as real-time feedback, progress tracking, and personalized learning paths, allowing teachers to monitor student performance and provide targeted support as needed. By incorporating Quizizz into their teaching strategies, educators can create a dynamic and collaborative learning environment that promotes the development of essential math skills and fosters a love for learning among their Grade 5 students.

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problem solving in math grade 5

Problem-Solving Strategies

October 16, 2019

There are many different ways to solve a math problem, and equipping students with problem-solving strategies is just as important as teaching computation and algorithms. Problem-solving strategies help students visualize the problem or present the given information in a way that can lead them to the solution. Solving word problems using strategies works great as a number talks activity and helps to revise many skills.

Problem-solving strategies

1. create a diagram/picture, 2. guess and check., 3. make a table or a list., 4. logical reasoning., 5. find a pattern, 6. work backward, 1. create a diagram/draw a picture.

Creating a diagram helps students visualize the problem and reach the solution. A diagram can be a picture with labels, or a representation of the problem with objects that can be manipulated. Role-playing and acting out the problem like a story can help get to the solution.

Alice spent 3/4 of her babysitting money on comic books. She is left with $6. How much money did she make from babysitting?

problem solving in math grade 5

2. Guess and check

Teach students the same strategy research mathematicians use.

With this strategy, students solve problems by making a reasonable guess depending on the information given. Then they check to see if the answer is correct and they improve it accordingly.  By repeating this process, a student can arrive at a correct answer that has been checked. It is recommended that the students keep a record of their guesses by making a chart, a table or a list. This is a flexible strategy that works for many types of problems. When students are stuck, guessing and checking helps them start and explore the problem. However, there is a trap. Exactly because it is such a simple strategy to use, some students find it difficult to consider other strategies. As problems get more complicated, other strategies become more important and more effective.

Find two numbers that have sum 11 and product 24.

Try/guess  5 and 6  the product is 30 too high

  adjust  to 4 and 7 with product 28 still high

  adjust  again 3 and 8 product 24

3. Make a table or a list

Carefully organize the information on a table or list according to the problem information. It might be a table of numbers, a table with ticks and crosses to solve a logic problem or a list of possible answers. Seeing the given information sorted out on a table or a list will help find patterns and lead to the correct solution.

To make sure you are listing all the information correctly read the problem carefully.

Find the common factors of 24, 30 and 18

problem solving in math grade 5

Logical reasoning is the process of using logical, systemic steps to arrive at a conclusion based on given facts and mathematic principles. Read and understand the problem. Then find the information that helps you start solving the problem. Continue with each piece of information and write possible answers.

Thomas, Helen, Bill, and Mary have cats that are black, brown, white, or gray. The cats’ names are Buddy, Lucky, Fifi, and Moo. Buddy is brown. Thoma’s cat, Lucky, is not gray. Helen’s cat is white but is not named Moo. The gray cat belongs to Bill. Which cat belongs to each student, and what is its color?

A table or list is useful in solving logic problems.

Since Lucky is not gray it can be black or brown. However, Buddy is brown so Lucky has to be black.

Buddy is brown so it cannot be Helen’s cat. Helen’s cat cannot be Moo, Buddy or Lucky, so it is Fifi.

Therefore, Moo is Bill’s cat and Buddy is Mary’s cat.

5. Find a pattern.

Finding a pattern is a strategy in which students look for patterns in the given information in order to solve the problem. When the problem consists of data like numbers or events that are repeated then it can be solved using the “find a pattern” problem-solving strategy. Data can be organized in a table or a list to reveal the pattern and help discover the “rule” of the pattern.

 The “rule” can then be used to find the answer to the question and complete the table/list.

Shannon’s Pizzeria made 5 pizzas on Sunday, 10 pizzas on Monday, 20 pizzas on Tuesday, and 40 pizzas on Wednesday. If this pattern continues, how many pizzas will the pizzeria make on Saturday?

6. Working backward

Problems that can be solved with this strategy are the ones that  list a series of events or a sequence of steps .

In this strategy, the students must start with the solution and work back to the beginning. Each operation must be reversed to get back to the beginning. So if working forwards requires addition, when students work backward they will need to subtract. And if they multiply working forwards, they must divide when working backward.

Mom bought a box of candy. Mary took 5 of them, Nick took 4 of them and 31 were given out on Halloween night. The next morning they found 8 pieces of candy in the box. How many candy pieces were in the box when mom bought it.

For this problem, we know that the final number of candy was 8, so if we work backward to “put back” the candy that was taken from the box we can reach the number of candy pieces that were in the box, to begin with.

The candy was taken away so we will normally subtract them. However, to get back to the original number of candy we need to work backward and do the opposite, which is to add them.

8 candy pieces were left + the 31 given out + plus the ones Mary took + the ones Nick took

8+31+5+4= 48   Answer: The box came with 48 pieces of candy.

Selecting the best strategy for a problem comes with practice and often problems will require the use of more than one strategies.

Print and digital activities

I have created a collection of print and digital activity cards and worksheets with word problems (print and google slides) to solve using the strategies above. The collection includes 70 problems (5 challenge ones) and their solution s and explanations.

sample below

problem solving in math grade 5

How to use the activity cards

Allow the students to use manipulatives to solve the problems. (counters, shapes, lego blocks, Cuisenaire blocks, base 10 blocks, clocks) They can use manipulatives to create a picture and visualize the problem. They can use counters for the guess and check strategy. Discuss which strategy/strategies are better for solving each problem. Discuss the different ways. Use the activities as warm-ups, number talks, initiate discussions, group work, challenge, escape rooms, and more.

Ask your students to write their own problems using the problems in this resource, and more, as examples. Start with a simple type. Students learn a lot when trying to compose a problem. They can share the problem with their partner or the whole class. Make a collection of problems to share with another class.

For the google slides the students can use text boxes to explain their thinking with words, add shapes and lines to create diagrams, and add (insert) tables and diagrams.

Many of the problems can be solved faster by using algebraic expressions. However, since I created this resource for grades 4 and up I chose to show simple conceptual ways of solving the problems using the strategies above. You can suggest different ways of solving the problems based on the grade level.

Find the free and premium versions of the resource below. The premium version includes 70 problems (challenge problems included) and their solutions

There are 2 versions of the resource

70 google slides with explanations + 70 printable task cards

70 google slides with explanations + 11 worksheets

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Engage your students with our ready-to-go packs of no-prep games and activities for a range of abilities across Kindergarten to Grade 5!

Free 5th Grade Math Quiz And Many More Downloadable 5th Grade Math Resources

Emma johnson.

Fed up with the same old 5th grade math quiz? Here we’ve got a different kind of 5th grade quiz for you – one that covers just the topics fifth graders often need to practice most.

About this 5th grade math quiz

How to use this 5th grade math quiz, 5th grade math quiz: 25 quiz questions and with answers, other fifth grade resources.

The most recent addition to our free math resources for fifth grade is this math quiz based on the Common Core State Standards for fifth graders.

Included are 25 quiz questions that test students on 5th grade math skills and content domains. While this isn’t an official diagnostic assessment, this 5th grade math quiz includes an answer sheet to give you and your students a chance to see where they need to improve.

Questions are in a range of formats, there are:

  • 8 arithmetic questions
  • 17 reasoning questions

Math problems are worth a mix of 1, 2 and 3 marks. 5th graders can gain marks for using the correct method for a trivia question even if they do not get the correct answer.  This will encourage students to show all their workings for each math problem.

Showing work is an important skill for students to learn. Third Space Learning’s online, one-to-one math tuition programs encourage students to practice showing their problem solving methods.

5th grade maths lesson slide

By focusing only on the 5th grade math standards, this math quiz assesses your students’ understanding of the 5th grade math curriculum. Asking your 5th graders to complete these quiz questions independently can help identify any outstanding knowledge gaps in the 5th grade math curriculum.

This 5th grade math quiz, designed by math experts, should be used towards the end of the school year. By this point, students will have completed most of the fifth grade content, but still have sufficient time to address any misconceptions that arise.

Once students have completed the quiz questions, you may decide to:

  • Share feedback with the whole class
  • Feedback to individual students
  • Revise topics as a whole class
  • Provide targeted interventions for students

1. Compare the decimals by writing <, > or = in the box.

8.397 ⬜ 8.41

Answer: 8.397 < 8.41

1 point 

2. Write the following number in expanded form: 

Answer: (4 × 10) + (2 × 1) + (3 × 0.1) + (4 × 0.001)

3. 7936 × 76

Answer: 603,136

2 points for the correct answer, 1 point for the correct method, but an incorrect answer

standard algorithm workings

4. 6834 ÷ 58

Answer: 117 r48

standard algorithm workings

5. \frac{1}{4} x 24 = 

Answer:  6

6. \frac{2}{5}✕\frac{3}{4}

Answer: \frac{6}{20}=\frac{3}{5}

7. 17.36 × 1000

Answer: 17,360

8. \frac{3}{7} of 84

9. Round 76,385 to the nearest:

Answer: Rounded to 10: 76,390 , Rounded to 100: 76,400, Rounded to 1,000: 76,000, Rounded to 10,000: 80,000

2 points for all correct

1 point for 2 or 3 correct

10. Write the following capacities in order from smallest to largest:

2.673l, 2.635l, 2.605l, 2.61l

Answer: 2.605l, 2.61l, 2.635l, 2.673l

11. Sort the following numbers into the correct place in the Venn Diagram.

2, 3, 4, 6, 7

Venn diagram question

2 points for all correct, 1 point for 3 or 4 correct.

12. Sophia buys 6 cupcakes and a cookie and pays $2.05 altogether.

Ahmed buys 3 cupcakes and pays 90 cents altogether. How much does one cookie cost?

Answer: 25 cents

3 cupcakes cost 90 cents

6 cupcakes cost 90 cents × 2 = $1.80.

$2.05 – $1.80 = $0.25 or 25 cents

$2.05 – $0.90 = $1.15

$1.15 – $0.90 = $0.25 or 25 cents

2 points for correct answer of 25 cents or $0.25 . 1 point for the correct method, but incorrect answer.

13. Order the following fractions from smallest to largest: 2\frac{7}{12}, 2 \frac{3}{4}, 2 \frac{5}{6}, 2 \frac{2}{3}

Answer: 2\frac{7}{12}, 2 \frac{2}{3}, 2 \frac{3}{4}, 2 \frac{5}{6}

​1 point 

14. Each number in the multiplication wall is made by multiplying the numbers in the 2 boxes directly below. Fill in the missing boxes:

multiplication boxes

2 points if all boxes are completed correctly.

1 point if 2 or 3 boxes are completed correctly.

15. Arlo chose a number. He multiplied the number by 8. Then he subtracted 47. His answer was 1049. What was his original number?

Answer: 137

2 points for the correct answer of 137.

1 point for correct method, but incorrect answer:

1049 + 47 = 1096

1096 ÷ 8 = 137

16. Which expression shows “ two times the sum of eight and three”?

2 × (8 + 3)

  • 2 × 11 

Answer: 

17. Write the following improper fractions as mixed numbers. Write the answer in its simplest form:

\frac{34}{12}

\frac{17}{8}

\frac{35}{11}

\frac{19}{7}

\frac{34}{12} = 2\frac{10}{12} = 2\frac{5}{6}

\frac{17}{8} = 2\frac{1}{8}

\frac{35}{11} = 3\frac{2}{11}

\frac{19}{7} = 2\frac{5}{7}

18. a) Jamal flew 3243.7 miles from London to Doha. He then flew an additional 431.6 miles to Dubai. How far did he fly in total?

b) He then flew on to Sri Lanka, making his journey a total of 5737 miles. How far was the journey from Dubai to Sri Lanka?

Answer: a) 3675.3 miles b) 2061.7 miles

2 points for both correct, 1 point for 1 correct.

19. Amber had a bag containing 360 jelly beans. She gave \frac{4}{9} of the jelly beans to her friend, Erin. How many did she have left?

Answers: 200 jelly beans

2 points for the correct answer: 200 jelly beans.

1 point for the correct method, but incorrect answer:

\frac{1}{9} of 360 = 40

\frac{4}{9} of 360 = 160

Therefore Amber has 200 jelly beans left.

\frac{5}{9} of 360 = 200 jelly beans

20. A class of 28 pupils go on a school trip to Alton Towers. The total price for their tickets is £504. How much does it cost per child?

Answer: £18

2 points for the correct answer of £18.

subtraction workings and answer

21. Mark has 3 candy bars. He wants to split them between himself and 7 friends. What fraction of a candy bar will each person get?

Answer:  \frac{3}{8}

22. Write one symbol in each box, to make the following statements correct:

fraction question

Answer: \frac{2}{5} < 0.5 , 0.74 > \frac{14}{25}

23. The town of Sedona has 90 elementary schools and the town of Georgetown has 45 elementary schools. Schools in the US have an average of 281 students. Approximately how many students are there in Stockport and Portsmouth altogether?

Answer: 37,935.

3 points for the correct answer of 37,935.

2 points if evidence of the correct method, with only 1 calculation error.

1 point if evidence of appropriate method, with more than 1 calculation error.

answers with workings

24. Chloe has a bag of vegetables that weighs 1.15kg. She takes out some peppers. The bag now weighs 870g. How much did the peppers weigh?

Answer: 280g

2 points for the correct answer: 280g

1 point for the correct method, but the incorrect answer.

subtraction workings

25. Apples cost $1.20 per kg. Bananas cost $1.45 per kg. Abdullah buys 1\frac{1}{2} kg of apples and 2kg of bananas. How much change does he get from $10 ?

Answer: $5.30

2 marks for the correct answer: $5.30

1 mark for the correct method but incorrect answer.

Discover more free resources available for 5th Grade and upper elementary in the Third Space Learning resource library. 

5th grade math worksheets

If you’re looking for more general knowledge math assessments and worksheets for 5th grade, you’ll find more math questions here including 100 reasoning questions, 100 arithmetic questions and lots of 5th grade math worksheets organized by topic.

5th grade math questions

Most elementary schools we talk to tell us students struggle with reasoning and problem solving skills most. You’ll find several examples of math word problems and multi-step problems in the resource library. As well as 35 reasoning questions and answers with worked examples in this blog — the best collection of practice 5th grade math quiz questions.

More Math Tests

In addition to this 5th grade math quiz and 5th grade math resources, our math experts have created a range of middle and high school math resources. Explore all of our middle and high school math quizzes and guides in the resource library.

5th grade math FAQs

What math concepts are taught in 5th grade?

Many of the concepts children cover in 5th grade are a progression of topics taught throughout lower grades. There are some concepts children are introduced to in 5th grade, for the first time: ∙Long division, dividing by 2-digit numbers ∙Order of operations ∙Multiplication and division of fractions ∙Addition, subtraction, multiplication, and division of decimals ∙Converting between units of measurement ∙Area of rectangles ∙Volume ∙Exponents ∙Scaling

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

The content in this article was originally written by primary school assistant headteacher Emma Johnson and has since been revised and adapted for US schools by math curriculum specialist and former elementary math teacher Katie Keeton.

Teaching Long Division Worksheets [FREE]

Everything you need to teach long division in one place!

This handy resource includes ready-to-use worksheets to use with your class, covering 1-digit numbers, 2-digit numbers and working out multiples.

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Add / subtract / multiply / divide fractions.

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COMMENTS

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  2. Maths Problems with Answers for Grade 5

    Maths Problems with Answers for Grade 5 Grade 5 maths problems with answers are presented. Also Solutions and explanations are included. A large box contains 18 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box? one toy car costs $2 and 1 toy train costs $3.

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    Topics in these fifth grade math word problems cover patterns and place value, addition and subtraction, multiplication, division, fractions, decimals, measurement, and comparisons. Want this entire set of word problems in one easy document? Get your free Google Sheet bundle by submitting your email here.

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    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.

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    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 Place Value & Rounding Add & Subtract Multiply & Divide Order of Operations Integers Fractions

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    The following collection of free 5th grade maths word problems worksheets cover topics including mixed operations, estimation and rounding, fractions, and decimals.

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    Math 5th grade 13,000 possible mastery points Mastered Proficient Familiar Attempted Not started Quiz Unit test Course challenge Test your knowledge of the skills in this course. Start Course challenge Unit 1: Decimal place value 0/1300 Mastery points Decimal place value intro Decimals on the number line Decimals in expanded form

  9. Free 5th Grade Math Worksheets—Printable w/ Answers

    The Mashup Math 5th Grade Math Worksheets Library included over 300 5th grade math worksheets pdf downloads with complete answer keys that cover key fifth grade math topics including the order of operations, fractions and decimals, geometry, algebra, and word problems. Every worksheet in the library below was specifically designed to meet the ...

  10. Math Worksheets for Grade 5 (Solutions, Interactive, Online)

    Free math worksheets with solutions suitable for Grade 5, interactive. online, 5th grade. ... Solve One-Step Algebra Equations, Solve Two-Step Algebra Equations, Solve Equations involving Like Terms, ... Mean, Median, Mode, Range, Statistics Word Problems. Try the free Mathway calculator and problem solver below to practice various math topics ...

  11. Grade 5 Word Problems

    Free printable fifth grade math worksheets to help your students improve their ability to solve word problems! Applying mathematical concepts to solve word problems can be challenging. These free worksheets are great repetition for your students! Scroll down to access all of the free grade 5 word problem worksheets.

  12. 5th Grade Math Word Problems

    5th Grade Math Word Problems. Here you will find a range of problem solving worksheets. The sheets involve using a range of math skills and knowledge to solve problems. Each problem sheet is available in both standard and metric units (where appropriate), and come complete with an answer sheet. The sheets in this section have all come from ...

  13. 35 Math Problems for 5th Graders

    5th-grade math word problems help students apply mathematical concepts to real-world scenarios. In fifth-grade math, it's important to master fractions, decimals, and order of operations. Hard problems for 5th graders can be simplified by drawing a picture or using a method that makes them easier to solve. Table of contents Key takeaways

  14. 35 Math Questions For 5th Graders: Worked Examples

    Answer: $0.65 A relatively easy question to interpret-the first step will be to rewrite the amounts given so that they can properly line up the place values in order to solve. From here the simple mathematical step is subtraction i.e. $2.00 - $1.35 = 0.65.

  15. Grade 5

    Students have instant help to learn the math skills needed for their assignments. Teachers show students how to use the scratchpad to analyze and breakdown math problems. 5th Grade Math - Fluency with fraction addition and subtraction, improve skill with fraction multiplication and division, decimal operations, developing understanding of volume.

  16. PDF Grade 5

    In grade 5, students solve problems by applying their understanding of operations with whole numbers, decimals, and fractions including mixed numbers. They solve problems related to volume and measurement conversions. Students seek the meaning of a problem and look for efficient ways to represent and solve it.

  17. Free Printable Multi-Step Word Problems Worksheets for 5th Grade

    Explore printable Multi-Step Word Problems worksheets for 5th Grade. Multi-Step Word Problems worksheets for Grade 5 are an essential resource for teachers looking to challenge their students and enhance their problem-solving skills in Math. These worksheets provide a variety of real-life scenarios that require students to apply their knowledge ...

  18. PDF Grade 5 Problem-Solving Lessons Introduction

    Ten problem-solving lessons are provided for Grade 5. The problem-solving lessons can be taught at any point in the grade after the unit indicated in the table on the next page. We recommend using as many problem-solving lessons throughout the year as your class time allows, and suggest using them in the order in which they are indicated below.

  19. Problem-Solving Strategies

    5. Find a pattern. Finding a pattern is a strategy in which students look for patterns in the given information in order to solve the problem. When the problem consists of data like numbers or events that are repeated then it can be solved using the "find a pattern" problem-solving strategy.

  20. Variables and equations word problem worksheets

    Grade 5 math worksheets with word problems involving variables and equations. Students write out a full equation with the suggested variable representing the unknown, then solve the equation. Underlying operations include addition, subtraction, multiplication and division of whole numbers and fractions.

  21. Grade 5 Addition & Subtraction Worksheets

    What is K5? K5 Learning offers free worksheets, flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads. 5th grade addition and subtraction worksheets including adding and subtracting large numbers, missing addend problems and missing minuend or subtrahend problems.

  22. Free 5th Grade Math Quiz And Answers

    As well as 35 reasoning questions and answers with worked examples in this blog — the best collection of practice 5th grade math quiz questions. More Math Tests. In addition to this 5th grade math quiz and 5th grade math resources, our math experts have created a range of middle and high school math resources.

  23. Step-by-Step Math Problem Solver

    QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students. The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and ...

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  25. Mixed fraction word problems for grade 5

    Math Grade 5 Word Problems Fractions practice Mixed fraction word problems Add / subtract / multiply / divide fractions These word problems provide additional practice with fractions and the 4 basic operations. Mixing word problems and including unneeded data are ways to encourage students to carefully read and think about the questions.