math problem solving grade 5

35 math problems for 5th graders

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

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Author Amber Watkins

math problem solving grade 5

Published September 13, 2023

math problem solving 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.

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Select a grade

  • Kindergarten

Measurement and data

Sample questions, 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]

math problem solving 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]

Place value

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.

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

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for families

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 = 120 120 + 2 = 122 The answer is 122

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 =

math problem solving 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.

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.

math problem solving 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!

math problem solving grade 5

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math problem solving 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.

math problem solving 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.

math problem solving grade 5

Writing numbers answer sheet

2 is in the hundreds place.

math problem solving grade 5

0 is in the tens place.

math problem solving grade 5

2 is in the ones place.

math problem solving grade 5

Division using area models answer sheet

math problem solving grade 5

Multiplying using square models answer sheet

math problem solving grade 5

Multiplying fractions and whole numbers using expanded form answer sheet

math problem solving grade 5

Multiplying fractions using a number line answer sheet

math problem solving 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

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

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

math problem solving 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?

math problem solving 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?

math problem solving 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!

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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

Mr. Smith’s class collected coins in a big jar for 6 months. Continue Reading

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Unit 1: Decimal place value

Unit 2: add decimals, unit 3: subtract decimals, unit 4: add and subtract fractions, unit 5: multi-digit multiplication and division, unit 6: multiply fractions, unit 7: divide fractions, unit 8: multiply decimals, unit 9: divide decimals, unit 10: powers of ten, unit 11: volume, unit 12: coordinate plane, unit 13: algebraic thinking, unit 14: converting units of measure, unit 15: line plots, unit 16: properties of shapes.

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5th Grade Math Worksheets

The secret to becoming a math nerd lies in the practice offered by our printable 5th grade math worksheets featuring exercises like using the order of operations involving parentheses, brackets, and braces to solve expressions, generate two-rule patterns, perform operations with multi-digit whole numbers, and with decimals to hundredths, and fractions. Convert between different-sized standard measurement units within a given measurement system, make a line plot to display a data set, measure volume by counting unit cubes, graph points on the coordinate plane and much more. Give our free math worksheets for grade 5 a try and kick-start your practice!

Select Grade 5 Math Worksheets by Topic

Explore 5,600+ Fifth Grade Math Worksheets

Order of Operations: Parentheses, Brackets, Braces

Order of Operations: Parentheses, Brackets, Braces

Know the order of operations: the innermost parentheses ( ) are calculated first, followed by [ ] the next layer of brackets, and finally operations within the braces { } are computed.

  • Download the set

Completing Patterns | Increasing and Decreasing

Completing Patterns | Increasing and Decreasing

Ponder over the rule that defines each pattern in these 5th grade math worksheet pdfs and figure out if it is increasing or decreasing and write the number that comes next in the sequence.

Writing Number Names | Billions

Writing Number Names | Billions

With billions, ten billions, and hundred billions added to your vocabulary, it becomes important to know their spellings too. Express the numerals as number words effortlessly with these exercises.

Multiplying 3-Digit by 2-Digit | Standard

Multiplying 3-Digit by 2-Digit | Standard

Make our printable grade 5 math worksheets your go-to place if you wish to bolster multiplication skills. Find the product of 3-digit and 2-digit numbers accurately and swiftly with practice.

Adding Decimals on a Number Line | Tenths

Adding Decimals on a Number Line | Tenths

Read the number line model, comprehend the whole number part, the decimal part: tenths and the sum. Serves best in introducing your crew to decimal addition.

Adding Proper Fractions Horizontally

Adding Proper Fractions Horizontally

Abundant exercises to practice adding proper fractions with unlike denominators await your 5th grade kids in these math worksheets pdfs. Get, set, and practice!

Converting Inches, Feet, and Yards

Converting Inches, Feet, and Yards

Teeming with exercises to convert the units of length between inches and feet in the first part, yards and feet in the next and between yards and inches in the last these pdfs are a compulsive-print.

Converting Hours, Minutes annd Seconds to Seconds

Converting Hours, Minutes and Seconds to Seconds

Chanting the mantra 1 hour = 3,600 s, and a minute = 60 s will ensure 5th grade kids a hassle-free ride through these printable math worksheets. Multiply and add to express the time in seconds.

Counting Coins and Bills

Counting Coins and Bills

A penny saved is a penny earned. Emphasize the habit of saving as kids count the coins and bills in each piggy bank and answer the questions based on the amount saved or spent by the five friends.

Making a Line Plot

Making a Line Plot

Rich with scads of practice in making line plots, our 5th grade math worksheet pdfs are handy in getting learners to organize the collected data, label the axes, and give a suitable title as well.

Identifying the Position of Real-life Objects

Identifying the Position of Real-life Objects

The real-life objects are placed at different points in the 1st quadrant of the Cartesian plane. Write the x-y coordinates or ordered pairs in Part A, and identify the item positioned at the indicated point in Part B.

Classifying Triangles Based on the Sides | Without Measures

Classifying Triangles Based on the Sides | Without Measures

Study the sides of each triangle in our printable grade 5 math worksheets, use a ruler to measure the sides or trust your observation and classify the triangles as equilateral, isosceles or scalene.

Counting Cubes to Find the Volume of Rectangular Prisms

Counting Cubes to Find the Volume of Rectangular Prisms

Analyze the layers and count the number of unit cubes that fill the space in each layer of the rectangular prism and sum them up to determine the volume.

Order of Operations with Nested Parentheses | PEMDAS

Order of Operations with Nested Parentheses | PEMDAS

Fast-track practice in solving expressions with our 5th grade math worksheet pdfs, complete the operations within the parentheses first, then the exponents, multiplication, division, addition, and subtraction.

Identifying the Two-Rule Pattern

Identifying the Two-Rule Pattern

Can your 5th grade learner infer the two underlying rules involving both addition and subtraction in each series of numbers? Let them observe the pattern, find the operations involved and complete the pattern.

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5th Grade Math Worksheets Hub Page

Welcome to our 5th Grade Math Worksheets area.

Here you will find a wide range of free printable Fifth Grade Math Worksheets, for your child to enjoy.

Come and take a look at our rounding decimal pages, or maybe some of our adding and subtracting fractions worksheets. Perhaps you are looking for some worksheets about finding angles in a triangle, or need some ratio problem worksheets to help your child learn about ratio?

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  • This page contains links to other Math webpages where you will find a range of activities and resources.
  • If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

5th Grade Math Learning

Here are the standards for the end of the year for 5th Grade.

  • Use parentheses, or brackets, in numerical expressions and equations.
  • Evaluate expressions with parentheses.
  • Use and understand place value to thousandths (3 decimal places)
  • Read, write and compare numbers with up to 3dp.
  • Use place value to round decimals to any place.
  • Multiply multi-digit whole numbers using the standard algorithm.
  • Divide whole numbers with up to 4 digits by divisors up to 2 digits.
  • Add, subtract, multiply, and divide decimals to hundredths
  • Add and subtract fractions with unlike denominators.
  • Solve word problems involving the addition and subtraction of fractions.
  • Understand that (a/b) is the same as (a ÷ b).
  • Solve word problems involving division of whole numbers with fraction (or mixed number) answers.
  • Multiply a fraction, or a whole number, by a fraction.
  • Find the area of rectangles with fraction side-lengths.
  • Divide a whole number by a unit fraction and a unit fraction by a (non-zero) whole number.
  • Convert like measurement units within a given measurement system.
  • Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8).
  • Use operations on fractions for this grade to solve problems involving information presented in line plots
  • Understand volume and how it can be measured using cubes.
  • Measure volume by counting unit cubes.
  • Apply the formula V = l x w x h to calculate volumes of right rectangular prisms.
  • Understand and use coordinates.
  • Graph points in the first quadrant of the coordinate plane
  • Classify two-dimensional figures in a hierarchy based on properties

5th Grade Math Worksheets Logo

5th Grade Math Worksheets

On this page you will find link to our range of math worksheets for 5th grade.

Quicklinks to 5th Grade ...

  • 5th Grade Math Quiz Page
  • Place Value & Number Sense
  • All 4 Operations

Word Problems Zone

  • Fractions Zone
  • Measurement Zone

Geometry Zone

Data analysis zone.

  • Fun Zone: games and puzzles
  • 5th Grade Math Grab Packs

Summer term Math Grab Packs - out now!

Our summer term grab packs are out now.

There is a different grab pack for each grade.

Free to all of our newsletter subscribers!

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  • Summer term Math Grab Packs

Place Value & Number Sense Zone

Fifth grade number worksheets.

Here you will find a range of Free Printable 5th Grade Number Worksheets.

Using these 5th grade math worksheets will help your child to:

  • use place value with numbers up to 10 million;
  • use place value with up to 3 decimal places;
  • understand how to use exponents (powers) of a number;
  • understand and use parentheses (brackets);
  • understand and use multiples and factors;
  • extend their knowledge of prime and composite (non-prime) numbers up to 100;
  • know and be able to use the PEMDAS (or PEDMAS) rule.
  • Place Value Worksheets to 10 million
  • 5th Grade Place Value to 3dp
  • Decimal Number Line Worksheets
  • PEMDAS Rule Support Page
  • PEMDAS Problems Worksheets 5th Grade
  • Balancing Math Equations
  • Input and Output Tables Worksheets
  • Roman Numerals worksheets

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  • What are Negative Numbers

Ordering Numbers, including Negative Numbers and Decimals to 3dp

The sheets in this section involve negative numbers and lists of decimals to 3 decimal places.

There are also sheets involving ordering large numbers up to 100 million.

There are sheets with decimals up to 10, and also sheets with numbers from -10 to 10.

  • Ordering Large Numbers up to 100 million
  • Ordering Decimals to 3dp
  • Ordering Negative Numbers -10 to 10

Rounding Decimals

  • Rounding Decimals to the nearest whole
  • Rounding to the nearest tenth
  • Rounding Decimal Places Sheets to 2dp
  • Rounding Decimals Worksheet Challenges

Decimal Counting Worksheets

Using these sheets will support you child to:

  • count on and back by multiples of 0.1;
  • fill in the missing numbers in sequences;
  • count on and back into negative numbers.
  • Counting By Decimals
  • Decimal Number Bonds to 1

5th Grade Mental Math Zone

Each worksheet tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math quiz!

  • Mental Math 5th Grade

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Addition Worksheets 5th Grade

  • add decimals including tenths and hundredths mentally;
  • add a columns of multi-digit numbers, including decimals.
  • Decimal Addition Worksheets (mental)
  • Free Addition Worksheets (randomly generated)
  • 5th Grade Addition Worksheets BIG Numbers
  • Decimal Column Addition Worksheets
  • Money Worksheets (randomly generated)

Subtraction Worksheets 5th Grade

Using these sheets will help your child to:

  • subtract decimals including tenths and hundredths mentally;
  • subtract multi-digit numbers, including decimals using column subtraction.
  • Subtracting Decimals Worksheets (mental)
  • Free Subtraction Worksheets (randomly generated)
  • 5th Grade Subtraction Worksheets up to Billions
  • Decimal Subtraction Worksheets (columns)

Multiplication Worksheets 5th Grade

  • extend their knowlege of multiplication to decimals;
  • use their multiplication tables to answer related facts, including decimals;
  • multiply a range of decimals with up to 2 decimal places (2dp) by a whole number;
  • multiply different money amounts by a whole number.
  • Multiplying Decimals by 10 and 100
  • Multiplying by Multiples of 10 and 100
  • Multiply and Divide by 10 100 (decimals)
  • Multiplying Decimals by Whole Numbers
  • Decimal Multiplication Worksheets to 1dp
  • Decimal Multiplication Worksheets to 2dp
  • Free Multiplication Worksheets (randomly generated)
  • Multiplication & Division Worksheets (randomly generated)

Multiplication Word Problems

  • Multiplication Word Problems 5th Grade

Division Worksheets 5th Grade

Using these 5th grade math worksheets will help your child learn to:

  • divide any whole number up to 10000 by a two digit number;
  • express any division with a remainder in the form of a mixed number (a number with a fraction part).
  • Long Division Worksheets (whole numbers)
  • Long Division of Decimal Numbers
  • Decimal Division Facts
  • Divisibility Rules Worksheets
  • Division Facts Worksheets (randomly generated)

All 4 Operations Worksheets

Often we want to give students a whole range of worksheets on a range of operations to see which ones they still need to practice.

These worksheets involve using each of the 4 operations to work out a range of calculations.

There are sheets for mental calculations only and also sheets to practice standard written methods.

  • Addition Subtraction Multiplication Division Worksheets 3rd Grade
  • 5th Grade Math Problems
  • apply their addition, subtraction, multiplication and division skills;
  • apply their knowledge of rounding and place value;
  • solve a range of problems including "real life" problems and ratio problems.

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

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

  • 5th Grade Math Word Problems

These sheets involve solving a range of ratio problems.

Fifth Grade Fraction Worksheets

  • compare and order fractions;
  • add and subtract fractions and mixed numbers;
  • understand how to multiply fractions by a whole number;
  • understand how to multiply two fractions together, including mixed fractions;
  • understand the relationship between fractions and division;
  • know how to divide fractions and mixed fractions;
  • convert decimals to fractions.
  • Comparing Fractions Worksheet page
  • Adding Fractions Worksheets
  • Adding Improper Fractions
  • Subtracting Fractions Worksheets
  • Adding Subtracting Fractions Worksheets
  • Improper Fraction Worksheets
  • Converting Decimals to Fractions Worksheets
  • Fractions Decimals Percents Worksheets
  • Multiplying Fractions Worksheets
  • Dividing Fractions by Whole numbers
  • Divide Whole numbers by Fractions
  • Simplifying Fractions Worksheets
  • Free Printable Fraction Riddles (harder)

5th Grade Geometry Worksheets

  • know how to find missing angles in a range of situations;
  • learn the number of degrees in a right angle, straight line, around a point and in a triangle;
  • know how to calculate the area of a triangle;
  • know how to calculate the area of a range of quadrilaterals.
  • learn the formulas to calculate the area of triangles and some quadrilaterals;
  • write and plot coordinates in the first quadrant.
  • Geometry Nets Information and Worksheets
  • 5th Grade Geometry - Angles
  • Area of a Rectangle Worksheets 5th Grade
  • Perimeter of a Rectangle Worksheets
  • Area and Perimeter of Rectangle Worksheets
  • Area of Quadrilaterals
  • Coordinate Worksheets (1st Quadrant)
  • 5th Grade Volume Worksheets

Measurement Zone, including Time & Money

  • 5th Grade Measurement Worksheets

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;
  • how to convert metric units from one unit to another including decimal conversions.
  • 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;
  • convert temperatures in Celsius and Fahrenheit.
  • Metric Conversion Worksheets
  • Temperature Conversion Worksheets

These sheets involve adding a range of money amounts in columns.

  • Adding Money Worksheets (random)

This generator will create money subtraction worksheets set out in columns.

  • Subtracting Money Worksheets (random)

Data Handling & Statistics Worksheets

Using these sheets will help you to:

  • find the mean of up to 5 numbers;
  • find a missing data point when the mean is given.
  • find the median of a set of data.
  • create and interpret line plots.
  • create and interpret line graphs.
  • Line Graphs 5th Grade Worksheets
  • 5th Grade Line Plot Worksheets
  • Median Worksheets
  • Mean Worksheets
  • Mode and Range Worksheets
  • Mean Median Mode and Range Worksheets

Fun Zone: Puzzles, Games and Riddles

Fifth grade math games.

  • Math Games 5th Grade
  • 5th Grade Math Puzzles

The puzzles will help your child practice and apply their addition, subtraction, multiplication and division facts as well as developing their thinking and reasoning skills in a fun and engaging way.

5th Grade Math Quiz

Here is our collection of Math Quizzes for 5th grade.

Quizzes are a great way to practise math skills or to asses knowledge.

  • 5th Grade Math Quiz page

Math Salamanders 5th Grade Math Games Ebook

Our 5th Grade Math Games Ebook contains all of our fun maths games, complete with instructions and resources.

This ebooklet is available in our store - use the link below to find out more!

  • 5th Grade Math Games Ebook

5th Grade Seasonal Math Worksheets

We have started creating sets of seasonal worksheets for each grade.

These sheets are great for linking to a particular topic, or doing some math that relates to the time of year.

  • 5th Grade Christmas Math Worksheets

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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

Free Printable Worksheets

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

Free Online Math Worksheets 5th Grade

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

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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?

Start practice on Fifth Grade here

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

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

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

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

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

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

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

The benefits of using worksheets to practice and reinforce math skills

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

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

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

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

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

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

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

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

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

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

Addition and subtraction word problems

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

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

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

Below are some examples of addition and subtraction word problems:

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

Multiplication and division word problems

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

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

Fractions and decimals word problems

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

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

Geometry and measurement word problems

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

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

Data and probability word problems

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

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

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

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

Are you ready to take on these excellent math problems?

1. Multiplication Word Problem

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

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

12 x 24 = 288

288 ÷ 18 = 16

Therefore, each friend will get 16 pieces of chocolate.

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

2. Division Word Problem

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

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

216 ÷ 48 = 4.5

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

Therefore, 5 buses will transport all the students.

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

3. Fractions Word Problem

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

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

3/4 x 1/3 = 3/12

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

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

4. Decimals Word Problem

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

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

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

3 ÷ 8 = 3/8

Therefore, we ate 3/8 of the pizza.

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

3/8 = 0.375

0.375 x 100 = 37.5%

Therefore, we ate 37.5% of the pizza.

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

12.50 ÷ 8 = 1.5625

1.5625 x 3 = 4.6875

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

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

5. Fraction of a whole word problem

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

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

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

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

1/4 x 12 = 3

So, there are 3 slices left.

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

6. Probability word problem

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

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

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

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

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

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

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

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

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

7. Geometry and measurement word problem

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

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

10 cm × 6 cm × 4 cm = 240 cm³

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

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

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

8. Addition and Subtraction Word Problem

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

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

12 + 8 = 20

Lucy had 20 apples in total.

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

Lucy gave 8 apples to Amy.

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

20 - 8 = 12

Lucy has 12 apples left in her basket.

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

9. Multiplication and Division Word Problem

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

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

30 x 2 = 60

The class needs 60 pencils in total.

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

60 ÷ 12 = 5

The class needs 5 packs of pencils.

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

10. Fractions and Decimals Word Problem

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

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

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

There are 2 slices of pizza left.

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

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

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

2 ÷ 8 = 0.25

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

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

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

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

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

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

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

Where to find more 5th Grade math problems worksheets

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

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

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

Conclusion: Practice Makes Perfect

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

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

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

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

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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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35 Math Questions For 5th Graders: Answers With Worked Examples

Anantha Anilkumar

In 5th grade math, the toughest questions are often the reasoning questions. In this article, we’ve put together a collection of math questions for 5th graders, organized by the different kinds of reasoning questions that students may encounter on standardized tests and beyond.

Why focus on math reasoning questions?

Most fifth graders find reasoning questions to be the most difficult. Unsurprisingly, we teach thousands of students in the weeks leading up to standardized tests. Teaching them math reasoning skills at the elementary level is a big part of what we do here at Third Space Learning.

We even recently made the decision to restructure our elementary lessons to introduce math reasoning questions earlier in their learning journey as the difficulty level was just too high at the end of the lesson. We  definitely feel fifth grade teachers’ pain!

Whatever level your students are currently achieving in math, math reasoning questions will appear from elementary to high school, so it is an essential skill for the future.

If you find you have children in your class with a lot more catching up to do than others, then we may be able to support them with some personalized one-on-one tutoring if you get in touch.

Reasoning Questions for 5th Grade

Reasoning Questions for 5th Grade

Looking to help your 5th grade students to develop reasoning skills? Our reasoning questions cover a range of 5th grade math content, including addition and subtraction, place value and decimals. Includes helpful answer key and additional guidance for teachers.

35 math questions for 5th graders

There are 7 types of math reasoning questions that fifth graders are likely to encounter:

For each of these types we’ll examine an example problem, looking at the question, the correct answer, and how to go about answering this problem.

We’ll also look at further examples of each type of math reasoning question and answer, again with worked examples and an explanation of how to answer each.

Our aim is to provide you with a sample of the types of math reasoning questions and how to teach the reasoning and problem solving skills they’ll need to solve them.

For more word problems like this, check out our collection of 2-step and multi-step word problems . For advice on how to teach children to solve problems like this, check out these math problem solving strategies.

Math Question Type 1: Single step word problems

The simplest type of reasoning question students are likely to encounter, single step problems are exactly that: students are asked to interpret a written question and carry out a single mathematical step to solve it.

Take a look at the question below:

Reasoning Question 1

single step word problem for 5th graders with money

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.

The most crucial skill for grade schoolers in this question is a solid understanding of money as relating to place value. If this understanding is present, the mathematical step itself is quite easy.

Below are several more examples:

Reasoning Question 2

reasoning question for 5th graders using time

Answer : 7 hours 24 minutes

Students need to understand that one hour is equal to 60 minutes. From here the single mathematical step is division: 444/60, to find a whole number answer with a remainder.

Reasoning Question 3

single step reasoning questions for 5th graders to find volume of 3d shape

Answer : 48 cm 3

Students must multiply length by width by height, using the amounts provided by the question.

Reasoning Question 4

single step reasoning question for 5th graders involving volume

Answer : 1,488 cubic cm

A simple enough calculation (multiplying) if students are aware that the volume of a rectangular prism can be found by multiplying the area of the base by the height.

Reasoning Question 5

single step reasoning question for 5th graders

Answer : 7,590

A single, relatively simple rounding problem – students should recognize that ’94’ is the place they should focus on for this problem.

Math Question Type 2: Multiple step worded problems

A more complex version of the single step word problem, multi-step problems require students to interpret a written problem, but solving it then requires the use of two or three math skills.

For example, consider this question below:

multiple step worded problem for 5th graders using money

Answer: $1.85

This question encompasses three different math skills: multiplying (and dividing) decimals, addition and subtraction. Students can choose to work out the multiplication or division first, but must complete both before moving on.

Once these values have been worked out the next steps are relatively simple – adding the two values together, and subtracting the total from $5.

Multi-step problems are particularly valuable to include in practice tests because they require children to apply their knowledge of math language and their reasoning skills several times across the course of a single question, usually in slightly different contexts.

More examples:

multistep worded problem for 5th graders calculating profit

Answer : $5,520

There are two steps to this problem, but both are multiplication. The first is to work out how much money is made per day – 92 x $15. This product is then multiplied by 4 – the number of days – to get to the answer.

multistep worded problem for 5th graders calculating distance using fractions

Answer : 1360 miles

Another two step problem. The first step is to work out 4 of 3,400 miles. Then divide this by 10 to solve for 4/10 of 3,400.

multistep word problem for 5th graders

Answer : $153

There are four steps involved in solving this problem: multiplication (doubling $51), division (dividing $51 in half), multiplication again (doubling half of $51–which some students may recognize those last two steps were unnecessary as that brings us back to $51), and addition (putting the two costs together).

Given the number of steps involved it can be easy for students to make arithmetic mistakes.

multistep word problem for 5th graders

Answer : 11.45 lbs

A two-step problem again: multiplying 3.45 lbs by 4, then subtracting 2.35 lbs from the total. 

Math Question Type 3: Problems involving measurements

As their name suggests, these questions ask students to solve a problem that includes one or more units of measurement.

TSL slide on metric measurements for 5th graders

Answer: 40 washes

This is a two step problem; students must first be able to read and convert kilograms to grams (and therefore know the relationship and conversions between the two units- 1,000 grams to 1 kilogram), multiply 2.6 by 1,000 which equals 2,600, then divide 2,600 by 65. The quotient is the number of washes possible.

Further examples:

math problem solving grade 5

Answer : 50g

A relatively simple division problem, relying on students having knowledge that 200g is one fifth of a kilogram.

math problem for 5th graders using distance

Answer : 5.12 miles

Another three step problem, and this requires students to subtract and divide decimals – subtracting 12.63 miles from the total amount, taking the difference, 13.91, and subtracting 3.67 miles, and then dividing that difference, 10.24, in half to obtain the distance the other two friends ran.

math problem for 5th grader using height

Answer : 84 inches/7 foot

To find 8 feet in inches, students must multiply 8 by 12. This gives the answer 96 inches. Students must then divide 96 by 40 to find the height of one box: 2.4 inches. Multiply 2.4 by 5 and minus this from the original 96 inch tower. 

Interesting to note that the units for the answer may or may not be specified – an answer given in inches or feet will be accepted, however sometimes the unit will be specified in the answer box. This is why we encourage students to keep an eye on whether units are provided in the answer box.

math problem for 5th graders using weight

Answer : 0.05 lbs

As with the running question there are three steps involved to solve this problem: subtracting the heaviest car from the total amount (3.85 – 1), figuring out the weight of the remaining three cars (2.85/3) and subtracting 0.95 from 1 to get the remaining amount of 0.05 lbs.

Question Type 4: Problems involving drawing

Problems involving drawing require students to construct an accurate drawing by following a set of instructions, or through reflection, translation, or scaling.  

math problem for 5th graders using shape

Answer: Any pair of lines that make a square of 4 units, a rectangle of 6 units, and a square of 25 units.

This question is considerably more complex than it appears, and incorporates aspects of multiplication as well as spatial awareness. One potential solution is to work out the area of the card (35), then work out the possible square numbers that will fit in (understanding that square numbers produce a square when drawn out as on a grid), and which then leave a single rectangle behind.

A lot of work for a single point!

Some further examples:

math drawing shape problem for fifth grader

Answer : Any quadrilateral made by joining the dots that has 3 acute angles e.g. an arrowhead shape.

math drawing angles problem for 5th graders

Answer : An accurately drawn angle.

This question demands students to have an understanding of and ability to accurately use a protractor. Often, a mark scheme allows some room for error – “between 34 and 36 degrees” is acceptable.

math problem for 5th graders drawing accurate angles

As with the question above, a small amount of room for error is given as it acceptable to be between 139 and 141 degrees.

math problem for 5th grader to plot coordinates

Answer : Points drawn at (2,1), (5,1) and (2,4).

Math Question Type 5: Explanation questions

These problems ask children to explain a mathematical statement or error.

As an example:

math problem for 5th graders asking students to explain an error

Answer: If the distance from P to R is 800 yards and the distance from P to Q is (Q -> R x 4), it must be 4/5 of 800 = 640 yards. Therefore Olivia is wrong.

More than most problems, this type requires students to actively demonstrate their reasoning skills as well as their mathematical ones. Here students must articulate either in words or (where possible) numerically that they understand that Q to R is 1/5 of the total, that therefore P to Q is 4/5 of the total distance, and then calculate what this is via division and multiplication.

Further examples below:

reasoning math problem for 5th graders

Answer : No, 2/100 is the same as 2 divided by 100, which equals 0.02.

reasoning math problem for 5th graders

Answer : No; multiplication and division have the same priority in the order of operations, so in a problem like 40 x 6 ÷2, you would carry out the multiplication first as it occurs first.

math reasoning problem for 5th graders

Answer : No

Any explanation that provides a counter-example is acceptable e.g. “Not if the number is 1”, “Not for 0,” “Not if the number is less than 1” etc.

math reasoning question for 5th graders

Answer : Any answer that refers to the fact that there is a 5 in the hundredths place, AND a 9 in the thousandths place, so that the number has to be rounded up as far as the ten-thousands place.

Math Question Type 6: Sequence questions

Another relatively simple kind of reasoning question, sequence problems involve students completing mathematical sequences.

Consider this example:

sequence question for 5th graders

Answer: 35 , 42, 49, 56 , 63, 70

The question’s instructions point clearly to the solution: figure out what the increase between numbers is, then apply this via addition or subtraction to find the missing numbers.

Higher achieving students might quickly pick up that this is in fact the 7 times table and rely on their knowledge of multiplication facts to obtain the answer – this should be encouraged so long as they then check their answer in the normal method to ensure they haven’t made a mistake.

sequence question for 5th grade

Answer(s) : 8/8 or 1 and 2 1/8 (OR 17/8)

Both answers must be correct to receive the point. Students must recognize that 3/4 is the same as 6/8, so the sequence is increasing in 3/8 each time. The first number is 3/8 less than 1 3/8 and the final number is 3/8 greater than 1 3/4. They then must be able to add and subtract fractions to obtain the answers.

math question for 5th grade using decimals

Answer(s) : 4.2 and 7

math question for 5th graders on sequences

Answer(s) : 128, 135 and 156.

math question for 5th graders completing sequence

Answer(s) : 0 and 24

This number line question can be a little tricky; students need to figure out that the marks on the line represent increments of 3, and count backwards and forwards in 3’s to obtain the missing numbers.

Math Question Type 7: Ordering questions

A slightly more complex variation of the sequence question, ordering problems require students to put a set of numbers, fractions or measures in the correct order.

A good example is this fifth grade math question below:

math question for 5th graders ordering question

Answer: 3/5, 3/4, 6/5

This question throws a wrench in things by including an improper fraction, but this is hardly unusual. These sorts of questions are just the place to find other ‘curveballs’ such as equivalent fractions, mixed numbers, decimal numbers, and fractions all mixed into one problem.

A good knowledge of the fundamentals of fractions is essential here: students must understand what a larger denominator means, and the significance of a fraction with a numerator greater than its denominator.

math question for 5th graders ordering

Answer : D,C,A,B

Encourage students to convert all the fractions to one denominator value to make ordering easier.

math problem solving grade 5

Answer : (descending down the ‘Place’ column) 3rd, 5th, 2nd, 4th

Students could use many strategies to solve this problem. The most time consuming would be to rewrite all the fractions with a common denominator. More efficient strategies would include reasoning about the size of the fractions in comparison to ½ or 1. For instance, a student may notice that ⅜ is the only fraction less than ½, putting Ben in 5th place. 4/8 is exactly ½ whereas the others are greater than ½, putting Michael in 4th place. Then the student may recognize that 10/12 is closer to 1 than ¾, completing the rest of the table.

math problem solving grade 5

Answer : C, B, D, A

math problem solving grade 5

Answer : D, A, C, B

7 Top Tips For Answering 5th Grade Math Reasoning Questions

Now that we’ve covered how to answer some specific types of reasoning questions, here are some more generic tips for success in standardized tests. They may not all be applicable to every single question, but will apply to at least two, usually more.

  • Get students in the habit of identifying what information they’re given in a question, and what they need to know to solve the problem. This helps them start to form the steps needed to find the solution.
  • Ask students to ‘spot the math’ in a question – which operations or skills do they actually need to use to solve the problem? This is useful even for arithmetic questions – it’s no surprise how often children can misread a question.
  • Check the units! Especially in questions involving multiple measures, it can be easy to give the answer in the wrong one. The answer box might give a specific unit of measurement, so students should work to give their answer in that unit.
  • In a similar vein, remind students to convert different units of measurement in a question into the same unit to make calculations easier e.g. lbs to oz.
  • Encourage numerical answers where possible. Even in explanation questions demonstrating the mathematical equation is a better explanation than trying to write it out.
  • The bar model can be a useful way of visualizing many different types of questions, and might make it easier to spot the ‘steps’ needed for the solution.
  • Check your work! Even if the work is ultimately irrelevant to the question, you can lose points if it is wrong.

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 Anantha Anilkumar at Third Space Learning and has since been revised and adapted for US schools by elementary math teacher Katie Keeton.

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69 Word Problems For 5th Graders: Exploring Addition, Subtraction, And More

December 17, 2023 //  by  Seda Unlucay

We know how hard it can be to come up with thought provoking word problems in the middle of a math lesson, so we’ve taken the pressure off by creating a grandiose list that’s perfect for your 5th graders. These multi-step word problems incorporate addition , subtraction , multiplication , and division as well as; time , money, place value , and fractions . Since they involve more than one step, your students should be encouraged to express their thinking with pictures and words to help solve and check each problem. Reference this helpful list of word problems when planning your next math lesson!

1. Jamie traveled 4325 km in 640 days. How many kilometers did he travel on average each day?

2. miss jones gave her students the number 30,808 and asked them to write the number in expanded form. tammy wrote (3 x 10,000) + (8 x 10) + (8 x 1). jack wrote (3 x 10,000) + (8 x 100) + (8 x 1). who is correct explain your reasoning., 3. james bought crayons for $2.50 and erasers for $4.50. how much change did he get back if he paid with a $20 bill, 4. there are 89 puppies for sale at the pet store. 16 are black and 34 are brown. the rest have spots. how many puppies have spots, 5. terrance and his three friends earned $359 in august, $522 in july, and $420 in september selling lemonade. how much would they each earn if they divided their earnings equally, 6. steve and paul were playing football. steve gained 82 yards and paul gained 35 yards. what was the total number of yards gained by both boys during the game, 7. patrick bought lunch at the school fair. he bought 3 hotdogs for $4.50 each and 2 hamburgers for $5.60 each. he also used a coupon for $2 off the price of lunch. how much money did he spend on lunch altogether, 8. the school bus seats 85 students. at the first stop, 16 students got off the bus. at the second stop, another 18 students got off the bus. how many students were left on the bus, 9. sandra spent $135 on new clothes. she bought a blouse for $48 and two t-shirts for $23 each. how much money does she have leftover, 10. four teachers handed out pencils to their students. two classes had 24 students each, the third class had 29 students and the fourth one had 27 students. how many pencils were handed out in all, 11. andrew was watching the chimpanzees at the zoo. 45 of them were eating bugs, 36 were playing with sticks and the rest were napping. if there were 122 chimpanzees in all, how many were napping, 12. william feeds his fish 8 containers of fish food each day. each container costs $3.25. how much money does william spend on fish food in one week, 13. elizabeth is making shell necklaces for her 7 friends. she needs 23 seashells to make each necklace. she has 89 seashells collected so far. how many more seashells does she need to make all 7 necklaces , 14. edward and carl were playing a video game. edward scored 835 points and carl scored 345 points. how many more points did edward score than carl, 15. ava bought 8 cookies for $2.25 each, 5 chocolate bars for $1.50 each, and 6 cupcakes for $1.25 each. how much change should she get back if she paid with a $50 bill, 16. 320 people visited the amusement park on saturday. four times as many visited on sunday. how many people visited the amusement park on the weekend , 17. stephanie bought 45 plain cookies for $2.20 each. she decorated them with icing and sold them for $3.75 each. how much profit did she make selling her decorated cookies , 18. miles made 45 t-shirts to sell online. he sold each one for $30 but she had to pay $8.50 tax for each shirt. how much money did he make in all, 19. amy went to the gym for 15 years. she trained three times a week every year. how many times did she go to the gym in 15 years, 20. lisa sold sweaters. she sold 899 sweaters in her first year in business, 1450 in her second year, and 2450 in her third year. how much did she make in total if each sweater cost $29   , 21. tyler was catching butterflies. in the first hour, he caught 7 butterflies. in the second hour, he caught 9. in the third hour, he caught 11. if this pattern continued, how many hours would it take him to catch more than 60 butterflies, 22. peter sees 144 cars drive by his house per week. how many cars does he see over 3 years , 23. shannon has to reserve buses for a field trip. she has 271 children, 12 teachers, and 9 parents. each bus can seat 22 passengers. how many buses would she need and how many spare seats would be left, 24. john wants to bake 1400 cupcakes for the school bake sale. he can bake 36 cupcakes per day. he has already baked 396. how many days will it take him to bake 1400 cupcakes, 25. ben and his 4 friends read 60 books in one year. each book has an average of 235 pages. how many pages did they read in total in one year, 26. mandy is having a birthday party. she invited 25 friends and baked 432 cookies. she wants to share the cookies at her party but also wants to save 35 for her siblings. how many cookies will each person get at the party, 27. edward wanted to give away his stamps to 12 friends. he has 624 stamps. how many stamps will each friend get and how many will be left over, 28. movie tickets cost $24 per adult and 1/4 of that price per child. how much will a family with 2 adults and 5 children pay in total , 29. melissa earned $560 in september and only 2/5 of that in october. how much money did she earn in october, 30. paul ate 1¼ pizzas and sam ate 3 ¾ pizzas. how many pizzas did they eat in all, 31. jamie earned $800 in his first year in business. if he shares 3/4 of his earnings with his family, how much money will he have left, 32. sarah had to cut a 230 m piece of wood into 5 pieces. how long would each piece be after cutting, 33. a school of 385 students and 12 teachers was going camping and needed to reserve some buses. if one bus can carry 70 people, how many buses would they need, 34. james is selling his house. he will keep 70% of the profit and give 30% to his mother. if the house sells for $300,000, how much money will they each receive, 35. steven earned $200 during 1 week of work. the following week, he earned 30% more. how much money did he earn over 2 weeks, 36. alex made $540 selling buttons at a garage sale and andy made 2/5 of alex’s amount. how much money did andy make , 37. jennifer has a backyard that is 13m by 9m. she wants to add a garden that will measure 7m by 4m. how many meters of space will she have leftover in her backyard , 38. sandra bought $250 worth of school supplies. the store was having a sale so she got a 30% discount. how much did she have to pay, 39. danny was building a large playhouse for his daughter. the perimeter of the dollhouse was a square. if one side was 21m long, how long would the entire perimeter be , 40. kimberly painted a new painting. she spent $530 on paint, $223 on the easel, $55 on the frame, and $421 on the canvas. she sold her painting for $3264. how much profit did she make, 41. kyle, jack, and jamie went to a pizza party where they each ate 3¼ slices of pizza. how many pizza slices did they eat in all, 42. sam made $500 selling baseball cards in february. he made 40% more than that in march. how much did he earn over the months, 43. mary wants to add a carpet to her living room. the area of her living room is 123m2 and the carpet costs $8 per square meter. how much would the carpet cost in total, 44. amy was buying snacks for a party. she bought 35 bags of chips that cost $2.50 each, 6 bottles of soda at $4.50 each, and a large cake that cost $77. how much did she spend in total on the party, 45. samantha wanted to add some new wallpaper to her walls. each wall was 8m by 13m and she had 7 walls to cover. how much area did she have to cover in all, 46. pam bought a new laundry machine for $1500 and a dryer for $850. she got a 20% on the total. how much did she have to pay, 47. tammy bought a packet of stickers with 78 stickers inside. she decided to keep 2/3 of them and give 1/3 to her sister. how many stickers did her sister get, 48. james earned $900 in october mowing lawns. sam earned 8/9 of that amount. how much money did sam earn, 49. patricia cut a chocolate bar into equal pieces to share with 3 friends. if the chocolate bar was 42.6 cm long, how long were each of the three pieces, 50. james ate 4/5 of a cake and amy ate 2/3. how much did they eat altogether , 51. stanley’s parents agreed to let him buy a new video game console if he paid for half of it. they gave him the $180 for their portion. if stanley has saved $108.70 so far, how much more money does he need to buy the console , 52. stephanie made brownies for the class bake sale. the box says that the pan will make 12 servings. if each serving is 250 calories, how many calories would the entire pan have , 53. every month the smith family pays $45 for their basic cell phone plan plus $6.95 for each of their 4 phones. they also pay $29.99 for a data and texting plan and an additional $7.45 in taxes. how much is their monthly bill , 54. a beetle is about 3/4 of an inch long. a rattlesnake is about 30 times longer. how long is a rattlesnake, 55. yasmine needed 45 facts about giraffes for her science project. she recorded 2/5 of the facts she needed from her first book, 12 facts from the second book, and 1/9 of the facts she needed from the third book. how many more facts does she need to complete her project, 56. jack’s comic book collection contains 125 marvel comics and 150 dc comics. if he decides to donate 1/5 of his marvel comics and 1/4 of his dc comics to the school library, how many comic books will he donate in total.

math problem solving grade 5

57. Lola spent 1/2 of her pocket money on a toy car and 1/3 of the remaining on a coloring book. If she had $60 at the beginning, how much money does she have left?

math problem solving grade 5

58. In a school, 2/5 of the students prefer soccer over any other sport. If there are 500 students, how many prefer soccer?

math problem solving grade 5

59. Olivia baked 10 dozen cookies for a bake sale. Each dozen was sold for $8.50. How much money did Olivia make from the bake sale?

math problem solving grade 5

60. If Ethan read 2 books per day for a week, how many books did he read in total?

math problem solving grade 5

61. A rectangle has a length of 15 cm and a width of 7 cm. What is the perimeter of the rectangle?

math problem solving grade 5

62. Noah wants to buy a new video game that costs $60. He has already saved $35. How much more money does he need to save to buy the video game?

math problem solving grade 5

63. Anna has 3 bags of marbles. Each bag contains 48 marbles. She gives 2 marbles to each of her 12 friends. How many marbles does she have left?

math problem solving grade 5

64. Matthew and Emma decided to divide their collection of 60 stickers equally. If Matthew decided to give 1/3 of his stickers to his sister, how many stickers does Matthew have left?

math problem solving grade 5

65. Harper has a fish tank that can hold 30 gallons of water. She fills it up to 7/10 of its capacity. How much water is in the fish tank?

math problem solving grade 5

66. Chloe has to read a 320-page book for school. She already read 175 pages. How many pages does she have left to read?

math problem solving grade 5

67. Jackson is saving to buy a bike that costs $250. He saves $25 from his allowance each week. How many weeks will it take for Jackson to save enough money to buy the bike?

math problem solving grade 5

68. Zoe has 36 stickers. She wants to give equal amounts to her 4 friends. How many stickers will each friend get?

math problem solving grade 5

69. Ryan’s mom bought him 2 packs of baseball cards. Each pack has 12 cards in it. Ryan already had 7 cards. How many baseball cards does Ryan have now?

math problem solving grade 5

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50 Engaging Math Word Problems for 5th Graders

  • Author: Noreen Niazi
  • Last Updated on: February 24, 2024

50 Engaging Math Word Problems for 5th Graders

Math World Problems for 5th graders

Operations with whole numbers:.

Whole number calculations are usually composed of addition, subtraction, multiplication and division.  These operations are the most fundamental arithmetic units that are needed to solve many mathematical problems. Find the multiple of 46 by 17. Answer: 782

Top 10 Mathematical Innovations

Top 10 Mathematical Innovations

John has 348 marbles, and he gives away 126. how many marbles does he have left.

To find the remaining marbles, subtract 126 from 348: 348 – 126 = 222 marbles left.

Sarah wants to buy 5 packs of pencils, each containing 24 pencils. How many pencils will she have in total?

Multiply the number of packs by the number of pencils in each pack: 5 packs × 24 pencils/pack = 120 pencils.

Jane has 485 stickers. She wants to distribute them equally among 5 friends. How many stickers will each friend receive?

To find out how many stickers each friend gets, divide the total number of stickers by the number of friends: 485 ÷ 5 = 97 stickers each.

If a book has 256 pages and Tom reads 32 pages every day, how many days will it take him to finish the book?

To find the number of days it takes Tom to finish the book, divide the total number of pages by the number of pages he reads per day: 256 ÷ 32 = 8 days.

In a school, there are 864 students. If they are divided into 9 equal groups for a field trip, how many students will be in each group?

To find out how many students will be in each group, divide the total number of students by the number of groups: 864 ÷ 9 = 96 students in each group.

A bakery sold 215 loaves of bread in a week. If each loaf costs $3, what is the total revenue from bread sales?

To find the total revenue, multiply the number of loaves sold by the price per loaf: 215 × $3 = $645.

Place Value with Large Numbers.

It is vital to master place-value concept if numbers with large numbers has to be used.  It means recognizing the values of each digit in a specific position within the number, e.g., thousands, hundreds, tens and ones. Write the number 8,924 with expanded form. Answer: 8,000+900+20+4.

Write the number 6,543,210 in expanded form.

Solution: 6,543,210 = 6 × 1,000,000 + 5 × 100,000 + 4 × 10,000 + 3 × 1,000 + 2 × 100 + 1 × 10 + 0 × 1.

Round 8,376 to the nearest thousand.

Since the digit in the hundreds place is 3, round down to 8,000.

Write the number 10,457,236 in word form.

Ten million four hundred fifty-seven thousand two hundred thirty-six.

Round 6,892 to the nearest hundred.

Since the digit in the tens place is 9, round up to 6,900

Place Value Changing

Unlocking the Power of Place Value Chart: A Comprehensive Guide

Write the number 3,025,401 in word form..

Three million twenty-five thousand four hundred one.

Which digit is in the ten thousands place in the number 49,872?

The digit 9 is in the ten thousands place.

Problem Solving & Simple Equations

 Problem solving skills are a core of mathematics.  Students develop the skill of examining and finding the best solutions to different types of problems, using various methods, including identifying the functions, making diagrams, and applying equations. If the product of a number by 4 is 36, what is the number? Answer: 9

If 3 times a number is 27, what is the number?

Let the number be x. Then, 3x = 27. Solving for x, we find x = 9.

If 4 times a number is 32, what is the number?

Let the number be x. Then, 4x = 32. Solving for x, we find x = 8.

If 7 times a number is 63, what is the number?

Let the number be x. Then, 7x = 63. Solving for x, we find x = 9.

 To find the number of days it takes Tom to finish the book, divide the total number of pages by the number of pages he reads per day: 256 ÷ 32 = 8 days.

A farmer has 96 eggs. She packs them into cartons with 8 eggs each. How many cartons does she need?

To find the number of cartons needed, divide the total number of eggs by the number of eggs per carton: 96 ÷ 8 = 12 cartons.

Decimal Arithmetic

When working with decimal numbers, decimal arithmetic is performed in such operations as addition, subtraction, multiplication and division.  This is critical for comprehension of measurements, money and applying the learning to the aspects of real-life. Subtract 6.78 from 15.4. Answer: 8.62

Add 3.25 and 6.8.

3.25 + 6.8 = 10.05.

Multiply 4.7 by 2.5

4.7 × 2.5 = 11.75.

Subtract 0.47 from 1.

1 – 0.47 = 0.53.

Top 50 Math Problems for 8th Graders

Top 50 Math Problems for 8th Graders in 2024

Divide 3.6 by 0.6..

3.6 ÷ 0.6 = 6.

Subtract 4.29 from 15.

 15 – 4.29 = 10.71.

Divide 12.6 by 3.

 12.6 ÷ 3 = 4.2.

If a recipe calls for 2 cups of flour to make 12 cookies, how many cups of flour are needed to make 24 cookies?

Proportion: 2 cups / 12 cookies = x cups / 24 cookies x = (2 × 24) / 12 = 4 cups

Graphing involves plotting both data and relationships on the coordinate plane in the form of visual graphs.  It is needed in order that students understand such concepts as coordinates, points, lines and shapes; it is also essential due to interpretation of graphs and charts. Please put a point (2,-3) on the coordinate plane. Answer: (2, -3)

Plot the point (3, 5) on the coordinate plane.

Start at the origin (0,0), move 3 units to the right, and then 5 units up. Mark the point as (3, 5).

Draw the graph of the equation y = 2x + 3.

 Plot points using x-values and find corresponding y-values using the equation. Connect the points to form a line.

Plot the points (-1, 3), (2, 0), and (5, 6) on the coordinate plane.

Plot the points accordingly on the plane.

Draw a line passing through the points (-1, 3) and (2, 0).

Connect the points (-1, 3) and (2, 0) to form a line.

Plot the points (-3, -2), (0, 0), and (4, 3) on the coordinate plane.

Draw a line passing through the points (-2, 4) and (3, -1)..

Connect the points (-2, 4) and (3, -1) to form a line.

Grade 6 math curriculum

Explore Grade 6 Math Curriculum: A Comprehensive Guide

Fraction arithmetic.

 Fractions are critical as they show parts of a whole and are also used in percentages, ratios, and in different aspects of life like cooking and measurement.  The mathematical operations such as adding, subtracting, multiplication, and division of fractions are known as arithmetic operations with fractions. Add 3/5 and 1/3. Answer: 14/15

Add 1/3 and 2/5.

(1/3) + (2/5) = (5/15) + (6/15) = 11/15.

Subtract 3/4 from 1.

1 – 3/4 = 4/4 – 3/4 = 1/4.

Multiply 2/3 by 4/5.

(2/3) × (4/5) = 8/15.

Subtract 1/2 from 3/4.

3/4 – 1/2 = 3/4 – 2/4 = 1/4.

Add 2/3 and 5/6.

(2/3) + (5/6) = (4/6) + (5/6) = 9/6 = 3/2.

Subtract 5/8 from 7/8.

7/8 – 5/8 = 2/8 = 1/4.

Geometry Math Word Problems for 5th Graders

Introduction: Geometry is about study of shapes, sizes, and their relative positions.  It covers concepts that include angles, lines, polygons, circles, and three dimensions, and its crucial for understanding how objects in the actual world behave. Compute the perimeter of a rectangle with dimensions, length 12 cm and width 8 cm. Answer: 40 cm

Find the area of a rectangle with length 6 cm and width 4 cm.

It’s an equilateral triangle.

Find the perimeter of a square with a side length of 8 inches.

Perimeter = 4 × side length = 4 × 8 = 32 inches.

Find the area of a circle with a radius of 5 cm. (Use π ≈ 3.14)

Area = π × radius² = 3.14 × 5² = 3.14 × 25 = 78.5 square cm.

Identify a triangle with one angle measuring 90 degrees.

A right triangle has one angle measuring 90 degrees.

Fraction Word problems

Fraction Word problems: Grade 5 free worksheet

Challenging math word problems for 5th graders, the sum of three consecutive odd numbers is 135. what are the three numbers.

Let the first odd number be x. Then, the next two consecutive odd numbers are x + 2 and x + 4. Their sum is x + (x + 2) + (x + 4) = 3x + 6 = 135. Solving for x, we find x = 43. So, the numbers are 43, 45, and 47.

Write the numeral for four hundred thirty-two million, nine hundred eighty-seven thousand, six hundred fifty-two.

The numeral is 432,987,652.

If 20% of a number is 30, what is 50% of that number?

Let the number be x. Then, 20% of x is 30, so 0.20x = 30. Solving for x, we find x = 150. Thus, 50% of 150 is (0.50) * 150 = 75.

Find the value of 3.75 ÷ 0.125.

Divide 3.75 by 0.125 to get 30.

Given the equation y = -2x + 5, find the x-intercept and y-intercept.

To find the x-intercept, let y = 0: 0 = -2x + 5. Solving for x, we get x = 2.5. To find the y-intercept, let x = 0: y = -2(0) + 5 = 5. Therefore, the x-intercept is (2.5, 0) and the y-intercept is (0, 5).

What is the difference between 3/4 and 5/6?

The total surface area of a cylinder is given by 2πrh + 2πr². Substituting the given values, we get 2π(5)(10) + 2π(5)² = 100π + 50π = 150π square meters.

If the original price of a shirt is $40 and it is discounted by 25%, what is the sale price?

: 25% of $40 is $10. So, the sale price is $40 – $10 = $30.

A bag contains 4 red balls, 3 blue balls, and 5 green balls. If a ball is randomly chosen from the bag, what is the probability of selecting a blue ball?

There are a total of 4 + 3 + 5 = 12 balls in the bag. The probability of selecting a blue ball is 3/12 = 1/4.

Calculate the measure of angle A in a right triangle where side a = 5 units and side b = 12 units.

tan(A) = opposite / adjacent tan(A) = 5 / 12 A = tan^(-1)(5/12) ≈ 22.62°

Sarah leaves her house at 8:45 AM and arrives at her friend's house, which is 15 miles away, at 9:15 AM. What was her average speed in miles per hour (mph)?

Sarah traveled 15 miles in 30 minutes (from 8:45 AM to 9:15 AM). Convert 30 minutes to hours: 30 minutes ÷ 60 minutes/hour = 0.5 hours. So, her average speed is 15 miles ÷ 0.5 hours = 30 miles per hour.

Viral Math Word Problems for 5th Graders

Viral Math Problem 1: The Two Trains Problem

Problem: Two trains, Train A and Train B, are traveling towards each other on parallel tracks. Train A is traveling at 60 miles per hour (mph), and Train B is traveling at 40 mph. Train A starts from City X, which is 300 miles away from City Y, where Train B starts. How long will it take for the two trains to meet?

Solution: Let t be the time it takes for the trains to meet. The distance traveled by Train A in t hours = 60t The distance traveled by Train B in t hours = 40t Since they are traveling towards each other, the sum of their distances should equal the total distance between the cities. So, 60t + 40t = 300 100t = 300 t = 3 hours

Therefore, it will take 3 hours for the two trains to meet.

Viral Math Problem 2: The Pizza Problem

Problem: A pizza is divided into 8 equal slices. If Sam eats 3 slices and Tom eats 2 slices, what fraction of the pizza is left?

Solution: Total slices eaten = 3 slices (by Sam) + 2 slices (by Tom) = 5 slices Remaining slices = Total slices – Slices eaten = 8 slices – 5 slices = 3 slices Fraction of pizza left = Remaining slices / Total slices = 3 slices / 8 slices = 3/8

So, 3/8 of the pizza is left.

Viral Math Problem 3: The Jellybeans Problem

Problem: In a jar of jellybeans, 3/4 of the jellybeans are red and the rest are green. If there are 60 green jellybeans, how many jellybeans are there in total?

Solution: Let the total number of jellybeans be represented by x. Since 3/4 of the jellybeans are red, 1/4 of them are green. So, the number of green jellybeans is 1/4 of x, which equals 60. 1/4 * x = 60 To find x, we can multiply both sides by 4: x = 60 * 4 x = 240

Therefore, there are 240 jellybeans in total.

Viral Math Problem 4: The Fruit Basket Problem

Problem: I n a fruit basket, there are 3 apples, 5 oranges, and 4 bananas. If Mary randomly selects a fruit from the basket, what is the probability that she selects an orange?

Solution: Total number of fruits in the basket = 3 (apples) + 5 (oranges) + 4 (bananas) = 12 fruits Number of oranges = 5 Probability of selecting an orange = Number of oranges / Total number of fruits = 5 / 12

So, the probability that Mary selects an orange is 5/12.

Practice Question on Math Word Problems for 5th Graders

Operations with Whole Numbers: Calculate the product of 46 and 17.

Place Value with Large Numbers: Write the number 8,924 in expanded form.

Problem Solving & Simple Equations: If 4 times a number is 36, what is the number?

Decimal Arithmetic: Subtract 6.78 from 15.4.

Graphing: Plot the point (2, -3) on the coordinate plane.

Fraction Arithmetic: Add 3/5 and 1/3.

Geometry: Find the perimeter of a rectangle with length 12 cm and width 8 cm.

Operations with Whole Numbers: If there are 384 students in a school and they are divided into 8 equal groups, how many students are in each group?

Place Value with Large Numbers: Round 9,736 to the nearest thousand.

Problem Solving & Simple Equations: A bookshelf has 35 books. If each shelf can hold 5 books, how many shelves are needed?

Grade 1 math curriculum

Explore Grade 1 Math Curriculum: A Comprehensive Guide

Break the problem into smaller manageable steps, teach yourself through diagrams and visual aids, try different tactics, and practice often to be successful.

Remain in touch with teachers, go through homework and test papers together, undertake household developments in the field of math and show enthusiasm towards math learning.

Yes, the number of online sites, math workbooks, educational apps, and tutoring services that provide many drills, quizzes, and tutorials is huge.

Provide additional practice activities, offer explanations in a different way, seek help from a teacher, or tutor and show willingness to persevere even if you make mistakes.

Conclusion:

Solution to practice questions.

  • 8,000 + 900 + 20 + 4
  • 48 students

Do you want to get a more interesting blog? Just click down and read more interesting blogs.

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5th Grade Math Games

Enjoy learning math with our expertly crafted interactive math games for 5th graders! Kids can playfully tackle long division, multi-digit multiplication, operations on fractions and decimals, numerical expressions, order of operations, volume of solids, unit conversions, graphing points, and much more! Our c ... Read more ollection of fifth-grade math games aligns perfectly with the curriculum and prepares students for middle school math and beyond. Loved by millions of kids! Start now for free!

math problem solving grade 5

CONTENT TYPE

  • Lesson Plans
  • Number Sense (17)
  • Compare Numbers (6)
  • Place Value (8)
  • Addition (8)
  • Large Numbers Addition (8)
  • 5-Digit Addition (6)
  • Multiplication (32)
  • Multiply By Multiples Of 10 (4)
  • Estimate Products (4)
  • Multi-Digit Multiplication (24)
  • Multiply 2-Digit By 2-Digit Numbers (11)
  • Multiply 3-Digit By 2-Digit Numbers (4)
  • Multiply 4-Digit By 1-Digit Numbers (7)
  • Division (38)
  • Estimate Quotients (3)
  • Long Division (26)
  • Divide 2-Digit By 1-Digit Numbers (6)
  • Divide 3-Digit By 1-Digit Numbers (7)
  • Divide 4-Digit By 1-Digit Numbers (5)
  • Divide 4-Digit By 2-Digit Numbers (7)
  • Fractions (73)
  • Fractions Operations (68)
  • Add Fractions (11)
  • Add Like Fractions (5)
  • Estimate Fraction Sums (3)
  • Subtract Fractions (7)
  • Add Mixed Numbers (8)
  • Subtract Mixed Numbers (9)
  • Subtract A Fraction From A Mixed Number (5)
  • Multiply Fractions (21)
  • Multiply Fractions Using Models (10)
  • Multiply Fractions By Whole Numbers (17)
  • Divide Fractions (8)
  • Decimals (116)
  • Read And Write Decimals (31)
  • Decimal Place Value (25)
  • Expanded Form Of Decimals (7)
  • Compare Decimals (22)
  • Order Decimals (10)
  • Round Decimals (12)
  • Round Decimals To The Nearest Whole (5)
  • Convert Decimals To Fractions (5)
  • Decimal Operations (40)
  • Add Decimals (6)
  • Subtract Decimals (5)
  • Multiply Decimals (13)
  • Divide Decimals (14)
  • Divide Decimals By Whole Numbers (5)
  • Geometry (32)
  • Shapes (12)
  • 2D Shapes (12)
  • Quadrilaterals (7)
  • Coordinate Plane (7)
  • Measurement (24)
  • Conversion Of Measurement Units (15)
  • Algebra (23)
  • Number Patterns (10)
  • Expressions And Equations (11)
  • Order Of Operations (5)
  • Word Problems (18)
  • Subtraction Word Problems (1)
  • Multiplication Word Problems (2)
  • Division Word Problems (5)
  • Fraction Word Problems (5)
  • Money Word Problems (4)
  • Reading (44)
  • Reading Comprehension (44)
  • Cause And Effect (6)
  • Inference (6)
  • Identify The Main Idea And Key Details (13)
  • Categorize Pictures Into Groups (4)
  • What'S The Title? (5)
  • Prediction (6)
  • Sequencing (13)
  • Arrange Pictures In Order (3)
  • Arrange Sentences In Order (4)

Number Sense Games

Compare Numbers Game

Compare Numbers Game

Begin the exciting journey of becoming a math wizard by learning how to compare numbers.

Round off Numbers Using a Number Line Game

Round off Numbers Using a Number Line Game

Kids must round off numbers using a number line.

Compare Numbers Using Greater than, Smaller than or Equal to Symbols Game

Compare Numbers Using Greater than, Smaller than or Equal to Symbols Game

Compare numbers using greater than, smaller than or equal to symbols.

Fill the Number Present at the Mentioned Place Value Game

Fill the Number Present at the Mentioned Place Value Game

Fill the number present at the mentioned place value to play this game.

Addition Games for 5th Graders Games

Identify the Addition Pattern and Fill the Correct Answers Game

Identify the Addition Pattern and Fill the Correct Answers Game

Kids must identify the addition pattern and fill in the correct answer.

Add to Find the Sum Game

Add to Find the Sum Game

Learn to solve real world problems through our 'Add to Find the Sum' game.

Add Numbers Using Column Addition Game

Add Numbers Using Column Addition Game

Kids must add numbers using column addition.

Recognize the Addition Pattern and Fill the Sum Game

Recognize the Addition Pattern and Fill the Sum Game

Add more arrows to your child’s math quiver by recognizing the addition pattern to fill the sum.

Multiplication Games

Multiply Tens, Hundreds and Thousands Game

Multiply Tens, Hundreds and Thousands Game

Learn to solve math problems by multiplying tens, hundreds and thousands.

Multiply using a Related Fact Game

Multiply using a Related Fact Game

Enjoy the marvel of mathematics by exploring how to multiply using a related fact.

Estimate the Product of Numbers within 50 by 1-Digit Numbers Game

Estimate the Product of Numbers within 50 by 1-Digit Numbers Game

Estimate the product of numbers within 50 by 1-digit numbers to practice multiplication.

Select the Missing Number to Complete the Missing Expression Game

Select the Missing Number to Complete the Missing Expression Game

Select the missing number to complete the missing expression.

Division Games

Select the Expression to Estimate Game

Select the Expression to Estimate Game

Take a deep dive into the world of math by selecting the expression to estimate correctly.

Identify the First Digit of Quotients Game

Identify the First Digit of Quotients Game

Kids must identify the first digit of the quotient to practice division.

Choose the Number Divisible by the Given Number Game

Choose the Number Divisible by the Given Number Game

Kids must choose the number divisible by the given number to practice division.

Find the Quotient Game

Find the Quotient Game

Enter the madness of math-multiverse by learning to find the quotient.

Fractions Games

Compare Fractions with Unlike Denominators Game

Compare Fractions with Unlike Denominators Game

Practice the superpower of fractions by learning to compare fractions with unlike denominators.

Select the Mixed Number for the Given Fraction Game

Select the Mixed Number for the Given Fraction Game

Kids must select the mixed number for the given fraction.

Fill in Colors in the Model to Show the sum Game

Fill in Colors in the Model to Show the sum Game

Practice fractions by filling in colors in the model to show the sum.

Choose the Fraction Equivalent of the Mixed Number Game

Choose the Fraction Equivalent of the Mixed Number Game

Kids must choose the fraction equivalent of the given mixed number.

Decimals Games

Fill a Decimal Number Between the Two Tenths Game

Fill a Decimal Number Between the Two Tenths Game

Fill a decimal number between the two tenths to practice decimals.

Identify Decimal Numbers Using Fraction Models Game

Identify Decimal Numbers Using Fraction Models Game

Add more arrows to your child’s math quiver by identifying decimal numbers using fraction models.

Round Tenths Using a Number Line Game

Round Tenths Using a Number Line Game

Enter the madness of math-multiverse by exploring how to round tenths using a number line.

Compare Decimals Using Place Value Chart Game

Compare Decimals Using Place Value Chart Game

Have your own math-themed party by learning how to compare decimals using a place value chart.

Geometry Games

Identify Attributes of 2D Shapes Game

  • Identify Attributes of 2D Shapes Game

Sharpen your geometry skills by identifying attributes of 2D shapes.

Draw Angles in Multiples of 10 Degrees Game

Draw Angles in Multiples of 10 Degrees Game

Play this game to draw angles in multiples of 10 degrees.

Find the Distance between Two Points Game

Find the Distance between Two Points Game

Enjoy the marvel of mathematics by exploring how to find the distance between two points.

Find Parallel Sides Game

Find Parallel Sides Game

Unearth the wisdom of mathematics by learning how to find parallel sides.

Measurement Games

Conversion Tables for Metric Units of Length Game

Conversion Tables for Metric Units of Length Game

Help kids practice measurements with these conversion tables for metric units of length.

Introduction to Volume Game

Introduction to Volume Game

Introduce your child to the world of volume with this game.

Convert Metric Units of Length Game

Convert Metric Units of Length Game

Unearth the wisdom of mathematics by learning how to convert metric units of length.

Find the Volume using Unit Cubes Game

Find the Volume using Unit Cubes Game

Kids must find the volume using unit cubes to practice geometry.

Algebra Games

Fill in the Correct Number Using Subtractive Patterns Game

Fill in the Correct Number Using Subtractive Patterns Game

Children must fill in the correct number using subtractive patterns.

Missing Numbers in Addition Statement Game

Missing Numbers in Addition Statement Game

Take the pressure off by simplifying decimals by finding the missing numbers in addition statements.

Identify the Prime Numbers Game

Identify the Prime Numbers Game

Practice the superpower of algebra by learning how to identify prime numbers.

Fill in the Correct Number Using Multiplicative Patterns Game

Fill in the Correct Number Using Multiplicative Patterns Game

Fill in the correct number using multiplicative patterns to make learning fun.

Word Problems Games

Solve the Word Problems Related to Multiplication Game

Solve the Word Problems Related to Multiplication Game

Unearth the wisdom of mathematics by learning to solve word problems related to multiplication.

Solving Word Problems Game

Solving Word Problems Game

Enjoy the marvel of math-multiverse by exploring how to solve word problems.

Solve the Word Problems on Fraction Subtraction Game

Solve the Word Problems on Fraction Subtraction Game

Add more arrows to your child’s math quiver by solving word problems on fraction subtraction.

Find the Number of Groups Game

Find the Number of Groups Game

Find the number of groups to practice division.

All Math Games

Recognize the Missing Numbers in the Subtraction Solution Game

Recognize the Missing Numbers in the Subtraction Solution Game

Kids must recognize the missing numbers in the subtraction solution to practice subtraction.

Complete the the Division Patterns Game

Complete the the Division Patterns Game

Practice the superpower of division by learning how to complete the division patterns.

Word Problems on Conversion of Metric Units Game

Word Problems on Conversion of Metric Units Game

Apply your knowledge of measurements to solve word problems on conversion of metric units.

Count the Total Money in a GIven Scenario Game

Count the Total Money in a GIven Scenario Game

Kids must count the total money in a gIven scenario in this game.

Identify the Missing Numbers in the Subtractions Solution Game

Identify the Missing Numbers in the Subtractions Solution Game

Help kids practice subtraction by identifying the missing numbers in subtraction solutions.

Divide Multiples of 10 by 1-Digit Numbers Game

Divide Multiples of 10 by 1-Digit Numbers Game

Ask your little one to divide multiples of 10 by 1-digit numbers to play this game.

Compare Fractions with Different Denominators Game

Compare Fractions with Different Denominators Game

Learn to solve problems by comparing fractions with different denominators.

Fill in Color to Represent the Decimal Numbers Game

Fill in Color to Represent the Decimal Numbers Game

Fill in colors to represent the decimal numbers in this game.

Identify Parallel Sides Game

Identify Parallel Sides Game

Begin the exciting journey of becoming a math wizard by learning to identify parallel sides.

Solve Word Problems on Money Expressed as Decimal Numbers Game

Solve Word Problems on Money Expressed as Decimal Numbers Game

Sharpen your math skills by solving word problems on money expressed as decimal numbers.

Choose the Number Greater or Smaller Than the Given Number Game

Choose the Number Greater or Smaller Than the Given Number Game

Use your number sense skills to choose the number greater or smaller than the given number.

Multiply by Multiple of 10 Game

Multiply by Multiple of 10 Game

Have your own math-themed party by learning how to multiply by multiples of 10.

Divide Using Patterns of Zeros Game

Divide Using Patterns of Zeros Game

Enjoy the marvel of mathematics by exploring how to divide using patterns of zeros.

Color the Parts to Show Decimal Numbers as Fractions Game

Color the Parts to Show Decimal Numbers as Fractions Game

Sharpen your decimal skills by coloring the parts to show decimal numbers as fractions.

Identify Parallel and Perpendicular Lines Game

Identify Parallel and Perpendicular Lines Game

Take a look at how to identify parallel and perpendicular lines with this game.

Calculate the Change You Will Get Back Game

Calculate the Change You Will Get Back Game

Learn to calculate the change that you will get back with this game.

Identify the Correct Pattern Game

Identify the Correct Pattern Game

Enter the madness of math-multiverse by exploring how to identify the correct pattern.

Identify the Least or the Greatest Number Game

Identify the Least or the Greatest Number Game

Enjoy the marvel of math-multiverse by exploring how to identify the least or the greatest number.

Multiply Multiples of 10 Game

Multiply Multiples of 10 Game

Enjoy the marvel of math-multiverse by exploring how to multiply multiples of 10.

Divide Multiples of 10 and 100 Game

Divide Multiples of 10 and 100 Game

Learn to solve problems by dividing multiples of 10 and 100.

Shade the Fraction Model to Represent Hundredths as Tenths Game

Shade the Fraction Model to Represent Hundredths as Tenths Game

Apply your knowledge of decimals to shade the fraction model to represent hundredths as tenths.

Count Pairs of Parallel Sides in Shapes and Choose the Correct Answer Game

Count Pairs of Parallel Sides in Shapes and Choose the Correct Answer Game

Kids must count pairs of parallel sides in shapes and choose the correct answer.

Conversion Tables for Metric Units of Weight Game

Conversion Tables for Metric Units of Weight Game

Take a look at conversion tables for metric units of weight with this measurement game.

Find Out the Total Money Spent by Multiplying Game

Find Out the Total Money Spent by Multiplying Game

Find out the total money spent by multiplying to practice counting money.

Identify the Correct Rule of Pattern Used Game

Identify the Correct Rule of Pattern Used Game

Dive deep into the world of algebra by learning to identify the correct rule of pattern used.

Compare Numbers With the Help of a Number Line Game

Compare Numbers With the Help of a Number Line Game

Take a deep dive into the world of math by comparing numbers with the help of a number line.

FIll the Missing Number in the Addition Solution Game

FIll the Missing Number in the Addition Solution Game

Use your addition skills to fIll the missing number in the addition solution.

Identify the Patterns of Zeros and Divide Game

Identify the Patterns of Zeros and Divide Game

Learn to solve math problems by identifying the patterns of zeros and divide.

Select the correct Equivalent Fraction for the Mixed Number Game

Select the correct Equivalent Fraction for the Mixed Number Game

Children must select the correct equivalent fraction for the mixed number.

Identify Decimals on a Number Line Game

Identify Decimals on a Number Line Game

Take a look at how to identify decimals on the number line.

What Is the Importance of Math for Grade 5 Kids?

In Grade 5, math plays a vital role in a child's academic journey, preparing them for middle school and beyond. Understanding fractions, decimals, and algebraic thinking prepares kids for higher-grade math concepts. It provides a strong foundation for higher-grade math concepts, making it essential for their overall development. 

  • Age factor : Grade 5 students, at around 10 years old, undergo a development phase characterized by significant learning and rapid-paced cognitive growth. Grade 5, a critical age for fast learning, lays the foundation for advanced math skills and age-appropriate learning.
  • Transition Towards Middle School : It prepares students for the rigor of middle school math and higher-grade concepts like fractions, decimals, and algebraic thinking.
  • Strong Basic Concepts : Understanding strong basic concepts fosters problem-solving skills, promoting critical thinking and analytical abilities.
  • Real-World Applications : Real-world applications empower kids to apply math practically, boosting their confidence for academic success.

Grade 5 kids, being at the age of fast learning, present an ideal opportunity to enrich their math education. As parents and teachers, nurturing their curiosity and supporting their mathematical growth will set them on a path to success and endless possibilities in the future.

Important Math Concepts Covered in Grade 5

Let’s take an overview of key concepts covered in grade 5 Math curriculum. 

Number Sense

  • Introduction of decimal numbers
  • Place values patterns in multi-digit numbers
  • Use whole-number exponents to denote powers of 10.

Number sense is simply knowing and understanding numbers, how they relate to each other, and how they are used in everyday life. Master number sense skills with Number Sense Games for 5th Graders !

Multiplication

  • Multiplying multi-digit whole numbers and decimals
  • Multiplication area models
  • Multi-digit multiplication (with standard algorithm and partial quotients)

Multiplication is simply repeated addition, a quick and smart way to add! Learn and practice multiplication with our Multiplication Games for 5th Graders exciting games now!

  • Divide whole numbers up to four digits by two-digit divisors using strategies derived from place value, properties of operations, and the connection between multiplication and division.
  • Division with fractions and decimals 
  • Multi-digit division with partial quotients

Division helps children understand equal sharing and splitting numbers! Explore division concepts with our fun-filled Division Games for Grade 5 and become a division whiz today!

  • Addition and subtraction of fractions by making them equivalent fractions. 
  • Multiplication of fractions with fractions or whole numbers.
  •  Solving real world problems involving multiplication of fractions and mixed numbers. 
  • Dividing whole numbers and unit fractions.
  • Fractions as quotients, fractions as whole numbers

Fractions can be tricky, but our engaging games make learning them a piece of cake! Dive into the world of fractions with our Fraction Games for 5th Graders !

  • Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. 
  • Read, write, and compare decimals to thousandths.
  • Rounding decimals to any place using place values.
  • Operations on decimals (Addition, subtraction, multiplication, and division)

Wherever precision is necessary, decimals play an important role! Deal with decimals confidently with the help of our Decimals Games for Grade 5 Students !

  • To graph points on the coordinate plane to solve real world problems. 
  • To locate points on a coordinate grid.
  • To classify two-dimensional figures in a hierarchy based on properties.
  • Generate, identify, and graph relationships between corresponding terms in two patterns, given a rule.

Geometry is a world of shapes and their different attributes! Embark on a geometric adventure with our Geometry Games for 5th Graders and become a geometry expert now!

Measurement

  • To learn about the concept of volume as the space taken up by a solid object.
  • Find volume of right rectangular prisms and solid figures.
  • Measure volume by counting unit cubes or using multiplication/addition.
  • Calculate volume for figures composed of rectangular prisms.

Measurement is really the key to quantifying the world! Check out Measurement Games for 5th Graders and help children become a measurement master today!

  • Use parentheses, brackets, or braces in numerical expressions and evaluate expressions with these symbols.
  • Write simple expressions to record calculations with numbers.
  • Interpret numerical expressions without evaluating them.

Help children discover the world of expressions, equations, and algebraic patterns with our Algebra Games for 5th Graders !

Word Problems

  • Solve word problems involving addition and subtraction of fractions
  • Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers
  • Addition and subtraction word problems
  • Multiplication and division word problems
  • Money and time word problems

Word problems are like real-world math puzzles or simple math challenges wrapped around real-life scenarios. Play Word Problems Games for Grade 5 and sharpen your problem-solving skills!

Benefits of Introducing Math Concepts to 5th graders through Games

  • Engaging and Motivational Gameplay : Games create an exciting and enjoyable atmosphere for 5th graders to explore math concepts, making learning more engaging and captivating. The element of fun encourages them to embrace challenging math topics actively.
  • Age-Appropriate Approach : Math games 5th grade are well-suited for the age and psychology of kids, as they naturally enjoy interactive activities, making it an ideal learning method for this grade level.
  • Practical Application : Games provide hands-on experiences that allow students to apply math concepts practically, reinforcing their understanding of various mathematical principles.
  • Improved Retention : The interactive nature of games aids in better information retention, ensuring that the learned concepts stay with the students for a longer period.
  • Collaborative Learning : Many math games involve teamwork, fostering collaboration among students and promoting healthy competition, which further enhances their learning experience. Games often present students with diverse challenges, stimulating their problem-solving abilities and nurturing critical thinking.

How Can Math Games Help Children Improve their Grade 5 Math Skills

  • 5th grade math games online make learning math concepts enjoyable, increasing children's interest and motivation in topics like fractions, decimals, and algebraic thinking.
  • Interactive gameplay reinforces grade 5 math concepts, such as measurement, geometry, and data analysis, improving children's retention and understanding.
  • Through problem-solving challenges in fun math games for 5th graders, children develop critical thinking and analytical skills, enhancing their overall proficiency in grade 5 math.
  • Math games help provide a stress-free environment for practicing math skills, boosting children's confidence and performance in areas like number operations and problem-solving.

Practical Applications of Grade 5 Concepts in Everyday Life for Kids

  • Using fractions while baking or cooking recipes helps kids understand proportions and measurements in real-life situations.
  • Understanding decimals is essential when handling money, such as calculating change during shopping or budgeting for expenses.
  • Applying geometry concepts helps kids when building structures with blocks or identifying shapes in their environment.
  • Analyzing data and charts supports kids in making informed decisions, like comparing prices or tracking progress in various activities.

What Are the Best 5 Math Games and Activities for Grade 5 Kids?

Here’s a list of few interactive math games for grade 5 online and fun activities offered by SplashLearn for grade 5 students:

  • Identify the Place Game
  • Multiply using Place Value Game
  • Complete the Division Patterns Game
  • Complete the Fraction Addition Game
  • Compare Decimals using Number Line Game

How do you help kids practice grade 5 math concepts?

  • Engage kids in interactive online math games for fifth graders to practice grade 5 math concepts with enthusiasm.
  • Provide them with specially designed grade 5 worksheets for targeted exercises and reinforcement of learning.
  • Tailor practice sessions to each child's needs, ensuring the right level of challenge and support.
  • Encourage active participation through interactive quizzes and activities for enjoyable grade 5 math practice.

How can teachers integrate math games into their Grade 5 lesson plans?

  • Introduce online fifth grade math games as interactive homework assignments, allowing students to practice and reinforce grade 5 math concepts at their own pace.
  • Incorporate online math games for 5th grade into classroom activities, using them as engaging and educational rewards or brain breaks during lessons.
  • Create personalized online math game challenges for students, tailoring the level of difficulty to their individual needs and providing an enjoyable way to review and assess their progress.

How do SplashLearn math games make learning fun for grade 5 kids?

  • SplashLearn math games are aligned with the Common Core curriculum. They make learning fun for grade 5 kids by combining interactive gameplay with grade-appropriate math concepts. 
  • The games engage students with exciting challenges, colorful visuals, and rewarding experiences, which help them retain enthusiasm and motivation.

Your one stop solution for all grade learning needs.

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Addition & Subtraction Workbook for Grades 3-4

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Grade 5 Addition & Subtraction Worksheets

Free addition & subtraction worksheets.

Our grade 5 addition worksheets give additional practice in the test  addition and subtraction of large numbers.

___ + 21 + 53 = 138
68 + 37 + 1,000 + ____ + 11 = 1,559
383 + ____ + 1,170
  
355,678
+ 43,211
+ 784,526

 
61,878
+ 886
+ 928,822
+ 90,320

 
9,098,988
+ 7,899,999
+ 6,998,987

 
3,783,500
+ 98,090,099
+ 84,900,989
+ 90,504,850
+ 98,988,999
____ - 348 = 1,797
999,098,291

 
 

math problem solving grade 5

Sample Grade 5 Addition Worksheet

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Find all of our addition worksheets , from adding by counting objects  to addition of multiple large numbers in columns.

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Daily Math Problems - Grade 5

Updated:  10 Jun 2022

A 44 slide editable PowerPoint Template for problem solving in mathematics.

Editable:  PowerPoint

Pages:  44 Pages

  • Curriculum Curriculum:  CCSS, TEKS
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Daily Math Problems - Grade 5 teaching resource

This PowerPoint presentation has been designed to support teachers when teaching students about problem solving in mathematics.

It provides students with the opportunity to work through word problems, identifying the important information and which operation to perform.

Included after each word problem is  a detailed solution page.

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  4. 180 Days of Problem Solving Grade 5

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  5. Grade 5 Problem Solving Worksheet Pdf

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COMMENTS

  1. 5th Grade Math Word Problems Worksheets

    Free 5th grade word problem worksheets, including adding, subtracting, multiplying and dividing fraction word problems, decimal word problems, GCF and LCM word problems and mixed word problems. No login required.

  2. 5th Grade Math Problems

    Here you will find our selection of 5th Grade Math Problems which will help you practice and apply your math skills to solve a range of longer, more challenging word problems at a fifth grade level.

  3. Fifth grade math worksheets

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

  4. 35 math problems for 5th graders

    Try these 35 math problems for 5th graders! Practice 5th grade math problems that cover multiplication, division, place value, fractions & more.

  5. Free 5th Grade Math Worksheets

    Are you looking for awesome free 5th grade math worksheets and answers? Our collection of fifth grade math worksheets covers a variety of 5th grade math topics including fractions, decimals, and word problems. Each 5th grade math worksheets pdf is printable and easy to share.

  6. 50 Fifth Grade Math Word Problems of the Day

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

  7. 5th Grade Math Word Problems: Free Worksheets with Answers

    Free 5th Grade Math Word Problems Worksheets (PDF) for topics including estimating, rounding, fractions, and decimals. For all Grade 5 math teachers and parents. Enjoy!

  8. 5th grade

    Learn fifth grade math—arithmetic with fractions and decimals, volume, unit conversion, graphing points, and more. This course is aligned with Common Core standards.

  9. 5th Grade Math Word Problems

    Here you will find our selection of 5th Grade Math Word Problems which will help you practice and apply your math skills to solve a range of different 'real life' word problems.

  10. 5th Grade Math Worksheets

    Fast-track practice in solving expressions with our 5th grade math worksheet pdfs, complete the operations within the parentheses first, then the exponents, multiplication, division, addition, and subtraction.

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

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

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    Browse printable 5th grade math worksheets focused on multiplication, division, fractions, decimals, graphing points, order of operations, & more. Download for free!

  14. 5th Grade math problems worksheets with answers: Practice makes perfect

    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.

  15. 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.

  16. 35 Math Questions For 5th Graders: Worked Examples

    In 5th grade math, the toughest questions are often the reasoning questions. In this article, we've put together a collection of math questions for 5th graders, organized by the different kinds of reasoning questions that students may encounter on standardized tests and beyond.

  17. 69 Word Problems For 5th Graders: Exploring Addition, Subtraction, And

    We know how hard it can be to come up with thought provoking word problems in the middle of a math lesson, so we've taken the pressure off by creating a grandiose list that's perfect for your 5th graders. These multi-step word problems incorporate addition, subtraction, multiplication, and division as well as; time, money, place value, and fractions. Since they involve more than one step ...

  18. 50 Engaging Math Word Problems For 5th Graders

    Explore 50 fun and challenging math word problems for 5th graders, covering various topics from operations to geometry, with step-by-step solutions and practice questions.

  19. Grade 5 Multiplication & Division Worksheets

    5th grade multiplication and division worksheets, including multiplying in parts, multiplication in columns, missing factor questions, mental division, division with remainders, long division and missing dividend or divisor problems. No login required.

  20. Splashlearn Header

    Through problem-solving challenges in fun math games for 5th graders, children develop critical thinking and analytical skills, enhancing their overall proficiency in grade 5 math.

  21. Grade 5 Addition & Subtraction Worksheets

    5th grade addition and subtraction worksheets including adding and subtracting large numbers, missing addend problems and missing minuend or subtrahend problems. No advertisements and no login required.

  22. 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.

  23. Daily Math Problems

    A 44 slide editable PowerPoint Template for problem solving in mathematics.

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