problem solving problems grade 4

Grade 4 Word Problem Worksheets

Free printable fourth 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! Click on the images below to download the word problem worksheets. They’re perfect for daily math warm ups! Don’t forget to check out the word problem task cards. Print them off, laminate them and use them for early finishers during maths!

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Grade 4 word problems with a focus on the four operations - addition, subtraction, multiplication & division.

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problem solving problems grade 4

Problem Solving Study Guide

Problem solving is an essential skill in mathematics that involves the ability to understand a problem, develop a plan to solve it, carry out the plan, and evaluate the solution for accuracy. Here are some key steps and strategies to help you become a better problem solver:

  • Understand the Problem: Read the problem carefully and make sure you understand what is being asked. Identify the known and unknown quantities, and determine the relationships between them.
  • Devise a Plan: Consider different strategies for solving the problem, such as drawing a diagram, making a table, using logical reasoning, working backwards, or using a similar problem as a model.
  • Carry Out the Plan: Once you have a strategy in mind, start solving the problem step by step, making sure to show all your work and calculations.
  • Evaluate the Solution: After finding a solution, check to see if it makes sense and satisfies all the conditions given in the problem. Also, consider if there are alternative ways to solve the problem or if the answer could be expressed differently.

Here are some common strategies for problem solving:

  • Draw a Diagram: When dealing with geometric or spatial problems, drawing a diagram can help you visualize the situation and identify the key elements.
  • Make a Table or Chart: Organizing information in a table or chart can help you identify patterns , relationships, or trends that can lead to a solution.
  • Work Backwards: Start with the end goal and work backwards to determine the steps needed to reach that goal.
  • Use Logical Reasoning: Apply logic and reasoning to make educated guesses and eliminate unlikely possibilities.
  • Look for a Pattern: Sometimes problems can be solved by identifying a pattern or sequence in the given information.

By practicing these problem-solving strategies and approaches, you can become more confident and proficient in tackling mathematical problems of varying complexity.

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◂ Math Worksheets and Study Guides Fourth Grade. Problem Solving

Mathematics - Fourth Grade - Study Guide: Problem Solving

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Fourth Grade (Grade 4) Problem Solving Strategies Questions

You can create printable tests and worksheets from these Grade 4 Problem Solving Strategies questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

  • 2,175 + 8,259 = 10,434
  • 8,259 - 2,175 = 6,084
  • 10,434 - 2,175 = 8,259
  • 8,000 + 2,000 = 10,000
  • $5 for each of the first 10 pages
  • $1 for each remaining page
  • 4,567 + 4,657 = ?
  • 3,254 - 4,567 = ?
  • 7,821 - 4,567 = ?
  • 3,254 + 4,567 = ?

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  • The Easter bunny delivers 8 eggs to the Martin family.
  • There are 4 people in the Davolio family.
  • 6 eggs are delivered to the Burke family.
  • How many total eggs do the Martin and Burke families receive?
  • If she is playing singles or doubles.
  • How many cans of tennis balls bought.
  • Whether she won or lost the match.
  • How many cans of tennis balls the store had.
  • 160 - 8 = 152
  • 160 + 8 = 168
  • 160 + 16 = 176
  • 160 - 16 = 144
  • Draw 4 tallies on one side. Draw 0 tallies on the other. Add.

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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.

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

Opening your daily math lesson with a Fourth 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 fourth grade math word problems cover patterns & place value, addition/subtraction, multiplication, division, fractions, decimals, measurement, and comparisons. If you’d like even more math word problems, we publish them daily on our kid-friendly site: the Daily Classroom Hub . Make sure to bookmark the link!

Want this entire set of word problems in one easy document? Get your free PowerPoint 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 Fourth Grade Math Word Problems

1. jill wrote the number 730,918. she challenged jane to rearrange the digits to create the highest possible number. what number did jane make.

Jill wrote the number 730,918. She challenged Jane to rearrange the digits to create the highest possible number. What number did Jane make?

2. Marcus was given this puzzling pattern and asked to complete it. Which two numbers should he should write next? 4, 7, 11, 14, 18, 21, 25, ___, ___

Marcus was given this puzzling pattern and asked to complete it. Which two numbers should he should write next?

3. Mr. Mathematica gave his class these digits: 1, 5, 7, 9, 2, 8, and 5. He asked them to make the smallest number possible using every digit once. What would that number be?

Mr. Mathematica gave his class these digits: 1, 5, 7, 9, 2, 8, and 5. He asked them to make the smallest number possible using every digit once. What would that number be?

4. The detectives found this number pattern as part of the code on a keypad to unlock a vault. 27, 26, 24, 23, 21, __, __. What are the last two numbers they should punch in?

The detectives found this number pattern as part of the code on a keypad to unlock a vault. 27, 26, 24, 23, 21, __, __. What are the last two numbers they should punch in?

5. Tom’s bicycle cost $50 more than Bob’s bicycle. Bob’s bicycle cost $180. How much did Tom’s bicycle cost?

Tom’s bicycle cost $50 more than Bob’s bicycle. Bob’s bicycle cost $180. How much did Tom’s bicycle cost?

6. Randy bought 2 baseball hats for $5.25 each. He also bought 2 wrist bands for $2.50 each. How much money did he spend?

Randy bought 2 baseball hats for $5.25 each. He also bought 2 wrist bands for $2.50 each. How much money did he spend?

7. Lots of birds were spotted at the new bird feeder. There were 12 sparrows, 15 crows, 8 orioles, 3 squirrels, and 9 cardinals. How many birds were there in all?

Lots of birds were spotted at the new bird feeder. There were 12 sparrows, 15 crows, 8 orioles, 3 squirrels, and 9 cardinals. How many birds were there in all?

8. There were lots of visitors to the town history museum this past winter. There were 75 in December, 98 in January, and 69 in February. How many visitors did the museum have this past winter in total?

There were lots of visitors to the town history museum this past winter. There were 75 in December, 98 in January, and 69 in February. How many visitors did the museum have this past winter in total?

9. Luis was setting up his new office. He bought a new computer for $350. He also bought a printer for $99 and two ink cartridges for $37 each. How much did he spend?

Luis was setting up his new office. He bought a new computer for $350. He also bought a printer for $99 and two ink cartridges for $37 each. How much did he spend?

10. There was a big sale at the Super Duper Shoe Store for 3 days. They sold 87 pairs of shoes on Friday, 95 pairs of shoes on Saturday, and 83 pairs of shoes on Sunday. How many pairs of shoes were sold all together?

There was a big sale at the Super Duper Shoe Store for 3 days. They sold 87 pairs of shoes on Friday, 95 pairs of shoes on Saturday, and 83 pairs of shoes on Sunday. How many pairs of shoes were sold all together?

11. Pia had a huge sticker collection. She had 280 stickers. Her friend, Jen, had 155 stickers in her collection. How many more stickers did Pia have than Jen?

problem solving problems grade 4

12. Robyn scored a total of 155 points in basketball this season for the Tarrytown Tigers. She had 30 rebounds as well. Last season she scored 106 points. How many more points did she score this season than last season?

Robyn scored a total of 155 points in basketball this season for the Tarrytown Tigers. She had 30 rebounds as well. Last season she scored 106 points. How many more points did she score this season than last season?

13. John went to lunch at the Cool Cat Cafe. He spent $1.25 on a juice drink and $5.50 on a sandwich. He also bought a brownie for 99 cents. He gave the cashier a $20 bill. How much change did he get?

John went to lunch at the Cool Cat Cafe. He spent $1.25 on a juice drink and $5.50 on a sandwich. He also bought a brownie for 99 cents. He gave the cashier a $20 bill. How much change did he get?

14. Race Car Ralph drove 1,000 miles in the big cross-country auto race. 775 of those miles were with his dog, Speedy, in the car. The rest of the way, he drove alone. How many miles did Ralph drive without Speedy?

Race Car Ralph drove 1,000 miles in the big cross-country auto race. 775 of those miles were with his dog, Speedy, in the car. The rest of the way, he drove alone. How many miles did Ralph drive without Speedy?

15. Best Baked Bakery baked 10,250 holiday cookies. They sold almost all of them. Only 56 were left. How many holiday cookies did they sell?

Best Baked Bakery baked 10,250 holiday cookies. They sold almost all of them. Only 56 were left. How many holiday cookies did they sell?

16. There were 3 cats and 4 geese in the barnyard. How many total legs were there?

There were 3 cats and 4 geese in the barnyard. How many total legs were there?

17. Donna picks 5 apples every minute in the orchard. How many apples does she pick in 20 minutes?

Donna picks 5 apples every minute in the orchard. How many apples does she pick in 20 minutes?

18. Morris the magician pulled 2 doves out of his hat, twice as many rabbits as doves, and 4 times as many mice as rabbits. How many animals did he pull out of his hat?

Morris the magician pulled 2 doves out of his hat, twice as many rabbits as doves, and 4 times as many mice as rabbits. How many animals did he pull out of his hat?

19. Tina is making pizzas for 15 guests. If each person (including Tina) is expected to eat 2 slices, how many 8-slice pizzas should Tina make?

Tina is making pizzas for 15 guests. If each person (including Tina) is expected to eat 2 slices, how many 8-slice pizzas should Tina make?

20. Chef Charlie is decorating a birthday cake with a circle of berries. He has 6 strawberries and would like to put 5 blueberries between each strawberry. How many blueberries does he need?

Chef Charlie is decorating a birthday cake with a circle of berries. He has 6 strawberries and would like to put 5 blueberries between each strawberry. How many blueberries does he need?

22. To make a winter stew, Jamal needs 3 pounds of sweet potatoes. If they cost $1.29 per pound, what will it cost to buy enough sweet potatoes?

To make a winter stew, Jamal needs 3 pounds of sweet potatoes. If they cost $1.29 per pound, what will it cost to buy enough sweet potatoes?

22. The Hotel Swanky has 10 floors. Each floor has 16 guest rooms. There is also a ballroom, two meeting rooms, and a restaurant. How many guest rooms are in the hotel?

The Hotel Swanky has 10 floors. Each floor has 16 guest rooms. There is also a ballroom, two meeting rooms, and a restaurant. How many guest rooms are in the hotel?

23. Mrs. Mason got a new bookcase for the library and filled it with books. There were 6 shelves. The top two shelves had 50 books on each shelf. The bottom four shelves had 75 books on each shelf. How many books were there in the new bookcase?

Mrs. Mason got a new bookcase for the library and filled it with books. There were 6 shelves. The top two shelves had 50 books on each shelf. The bottom four shelves had 75 books on each shelf. How many books were there in the new bookcase?

24. The cafeteria ordered 6 packs of jumbo chocolate chip cookies and 3 packs of brownies. Each pack of cookies had 12 cookies in it. They sold 45 cookies and 30 brownies. How many cookies are left?

The cafeteria ordered 6 packs of jumbo chocolate chip cookies and 3 packs of brownies. Each pack of cookies had 12 cookies in it. They sold 45 cookies and 30 brownies. How many cookies are left?

25. The new elementary school has 30 desks in each classroom. There are four classrooms for each grade. There are 5 grades in the school. How many desks are there in the school?

The new elementary school has 30 desks in each classroom. There are four classrooms for each grade. There are 5 grades in the school. How many desks are there in the school?

26. Gina planted six rows of carrots in her garden. Each row had 30 carrots. Rabbits ate half of her carrots. How many carrots did she have left?

Gina planted six rows of carrots in her garden. Each row had 30 carrots. Rabbits ate half of her carrots. How many carrots did she have left?

27. Jack planted a magic bean. The bean plant that grew was 1 foot tall on the first day. Then it doubled in height each day. How tall was the plant on the fifth day?

Jack planted a magic bean. The bean plant that grew was 1 foot tall on the first day. Then it doubled in height each day. How tall was the plant on the fifth day?

28. Big Brain University bought 15 new supercomputers and 50 printers. Each supercomputer cost $5,300. A printer cost $100. How much did the university spend buying new computers?

Big Brain University bought 15 new supercomputers and 50 printers. Each supercomputer cost $5,300. A printer cost $100. How much did the university spend buying new computers?

29. The new golf course had 3 tournaments every month this year. The course is open 12 months a year. Each tournament was limited to 101 golfers and was full. How many golfers played in the tournaments all together this year?

The new golf course had 3 tournaments every month this year. The course is open 12 months a year. Each tournament was limited to 101 golfers and was full. How many golfers played in the tournaments all together this year?

30. The school office printer can print 200 pages every 10 minutes. If the printer runs for an hour straight, how many pages can it print?

The school office printer can print 200 pages every 10 minutes. If the printer runs for an hour straight, how many pages can it print?

31. Lucia makes beaded bracelets. Each bracelet has 12 beads on it. She made 55 bracelets for each of the school fairs. The school had 3 fairs. How many bracelets did Lucia make?

Lucia makes beaded bracelets. Each bracelet has 12 beads on it. She made 55 bracelets for each of the school fairs. The school had 3 fairs. How many bracelets did Lucia make?

32. Sammy Speedball is a pitcher for the Boogaloo Bearcats. He practiced his pitching on Saturday for an hour in the morning and an hour after dinner. He threw 20 pitches every 30 minutes. How many practice pitches did Sammy throw on Saturday?

Sammy Speedball is a pitcher for the Boogaloo Bearcats. He practiced his pitching on Saturday for an hour in the morning and an hour after dinner. He threw 20 pitches every 30 minutes. How many practice pitches did Sammy throw on Saturday?

33. Serena had 35 cherries. She gave 8 to each of her sisters. She still has 3 left over. How many sisters does Serena have?

Serena had 35 cherries. She gave 8 to each of her sisters. She still has 3 left over. How many sisters does Serena have?

34. The new teacher was giving out pencils to her class for the year. She wanted to give them out evenly. She had 15 packs of pencils with 10 pencils in each pack. She had 20 students. How many pencils should each student get? How many pencils would be left over?

The new teacher was giving out pencils to her class for the year. She wanted to give them out evenly. She had 15 packs of pencils with 10 pencils in each pack. She had 20 students. How many pencils should each student get? How many pencils would be left over?

35. 150 kids signed up for the summer soccer league. There are going to be ten teams, and the Dragons are one of the teams. Each team has 3 coaches and they want an equal number of players on each team. How many players should be on the Dragons?

36. the wonderful widget company produces 480 widgets every day. they have 6 widget making machines running every day, with each machine making equal amounts of widgets. the company runs six days a week. how many widgets does each machine make.

The Wonderful Widget Company produces 480 widgets every day. They have 6 widget making machines running every day, with each machine making equal amounts of widgets. The company runs six days a week. How many widgets does each machine make?

37. Farmer Fran has 35 hens. Each hen lays a dozen eggs a day. Fran packs the eggs into packs of ten. How many packs of eggs does she pack per day?

Farmer Fran has 35 hens. Each hen lays a dozen eggs a day. Fran packs the eggs into packs of ten. How many packs of eggs does she pack per day?

38. ReadOn Publishers gives free books to schools every year on the last day of the year. They have 900 books for this year’s giveaway. 18 schools have applied for the free books. How many should each school get if they are evenly distributed?

ReadOn Publishers gives free books to schools every year on the last day of the year. They have 900 books for this year’s giveaway. 18 schools have applied for the free books. How many should each school get if they are evenly distributed?

39. Coach Cindy is meeting with each player for practice individually. Each player will get 15 minutes with the coach. Coach Cindy has 2 hours for this on Saturday. How many players can she meet with?

Coach Cindy is meeting with each player for practice individually. Each player will get 15 minutes with the coach. Coach Cindy has 2 hours for this on Saturday. How many players can she meet with?

40. Dr. Bea Well has 120 patients. ¼ of them wear glasses. How many of her patients don’t wear glasses?

Dr. Bea Well has 120 patients. ¼ of them wear glasses. How many of her patients don’t wear glasses?

41. Lucy has 24 stuffed animals. She loves elephants, and one-third of her stuffed animals are elephants. Half of the elephants are gray. How many elephants does she have?

Lucy has 24 stuffed animals. She loves elephants, and one-third of her stuffed animals are elephants. Half of the elephants are gray. How many elephants does she have?

42. Annie collects seashells. She has 120 shells in her collection. They are from both the Atlantic Ocean and the Pacific Ocean. ¾ of the shells are from the Atlantic Ocean. How many shells are from the Pacific Ocean?

Annie collects seashells. She has 120 shells in her collection. They are from both the Atlantic Ocean and the Pacific Ocean. ¾ of the shells are from the Atlantic Ocean. How many shells are from the Pacific Ocean?

43. Bill has 7/8 of his homework done. Andy has 9/10 of his homework done. They have the same amount of homework. Who has more homework done?

Bill has 7/8 of his homework done. Andy has 9/10 of his homework done. They have the same amount of homework. Who has more homework done?

44. Jose was offered 2/5 of a jumbo chocolate bar or 3/6 of the same bar. He loves chocolate. Which should he choose if he wants the most chocolate?

Jose was offered 2/5 of a jumbo chocolate bar or 3/6 of the same bar. He loves chocolate. Which should he choose if he wants the most chocolate?

45. Janelle has 6 notebooks for school. Donnie has 1/3 more than Janelle. How many notebooks do Janelle and Donnie have all together?

Janelle has 6 notebooks for school. Donnie has 1/3 more than Janelle. How many notebooks do Janelle and Donnie have all together?

46. Tonya found two small interesting stones. The black one weighs 0.3 of an ounce. The red one weighs 0.09 of an ounce. Which stone weighs more?

Tonya found two small interesting stones. The black one weighs 0.3 of an ounce. The red one weighs 0.09 of an ounce. Which stone weighs more?

47. Leah has a baseball bat that is 2 and a half feet long. Bryson has a bat that is 28 inches long and another one that is 2 feet and 5 inches long. Who has the longest bat?

Leah has a baseball bat that is 2 and a half feet long. Bryson has a bat that is 28 inches long and another one that is 2 feet and 5 inches long. Who has the longest bat?

48. Mr. Smith’s class collected coins in a big jar for 6 months. Their coins weighed 2 pounds and 8 ounces. Ms. Smith’s class did the same thing. Their coins weighed 2 ½ pounds. Whose coins weighed more?

Mr. Smith’s class collected coins in a big jar for 6 months. Their coins weighed 2 pounds and 8 ounces. Ms. Smith’s class did the same thing. Their coins weighed 2 ½ pounds. Whose coins weighed more?

49. The track team was practicing for the big meet. Tim ran for 25 minutes every day for 5 days. Tom ran an hour every day for 3 days. Who spent the most time running?

The track team was practicing for the big meet. Tim ran for 25 minutes every day for 5 days. Tom ran an hour every day for 3 days. Who spent the most time running?

50. The Jones family left for the airport at 10:00 a.m. for vacation. Their flight leaves at 12:30 p.m. They stopped twice for 10 minutes each time. They got to the airport at 11:30 p.m. How much time did they spend driving?

The Jones family left for the airport at 10:00 a.m. for vacation. Their flight leaves at 12:30 p.m. They stopped twice for 10 minutes each time. They got to the airport at 11:30 p.m. How much time did they spend driving?

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Maths problems with answers - grade 4.

A set of Maths problems with answers for grade 4 are presented. Also Solutions and explanations are included.

  • Jim drove 768 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
  • There are 123 boxes of sweets in a store. There are 25 sweets in each box. How many sweets are in the store?
  • There are 365 days in one year, and 100 years in one century. How many days are in one century?
  • Billy read 2 books. He read the first one in one week with 25 pages everyday. He read the second book in 12 days with 23 pages everyday. What is the total number of pages that Billy read?
  • 123 school girls are to be transported in small vans. Each van can carry 8 girls only. What is the smallest possible number of vans that are needed to transport all 123 school girls?
  • John had $100 to buy drinks and sandwiches for his birhtday party. He bought 5 small boxes of drinks at $4 each box and 8 boxes of sandwiches at $6 each box. How much money was left after the shopping?
  • A factory produces 5500 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
  • Tom, Julia, Mike and Fran have 175 cards to use in a certain game. They decided to share them equally. How many cards should each one take and how many cards are left?
  • Sam, Carla and Sarah spent on afternoon collecting sea shells. Sam collected 11. If we add the number of sea shells collected by Sam and Carla, the total would be 24. If we add the number of sea shells collected by Carla and Sarah, the total would be 25 shells. How many shells did each one collect?
  • Mr Joshua runs 6 kilometers everyday from Monday to Friday. He also runs 12 kilometers a day on Saturday and Sunday. How many kilometers does Joshua run in a week?
  • Tom and Bob are brothers and they each had the same amount of money which they put together to buy a toy. The cost of the toy was $22. If the cashier gave them a change of 6$, how much money did each have?
  • John has 5 boxes of sweets. One group of boxes has 5 sweets in each box. The second group of boxes has 4 sweets in each box. John has a total of 22 sweets. How many boxes of each type John has?(Hint: use table)
  • There is a total of 16 chickens and rabbits in a farm. The total number of legs (chickens and rabbits) is equal to 50. How many chickens and how many rabbits are there?(Hint:use a table)
  • There are 4 more chickens than rabbits in a farm. The total number of legs (chickens and rabbits) is equal to 44. How many chickens and how many rabbits are there?(Hint:use a table)

Answers to the Above Questions

  • a) UK b) Russia c) 7,500,148 d) 49,839,760 e) Russia, Canada, USA, China, India, Uk.
  • 3075 sweets
  • 36,500 days in one century
  • 16 vans (no decimal values)
  • 1375 toys per day
  • 43 each and 3 left
  • 80 cm squared
  • Sam: 11, Carla: 13 and Sarah: 12
  • 54 kilometers
  • 2 boxes with 5 sweets each and 3 boxes with 4 sweets each
  • 7 chickens and 9 rabbits
  • 10 chickens and 6 rabbits

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Your download includes a full week of Daily Problem Solving for Grade 4 to try out in your own classroom. Developed with the brain in mind, these multi-step word problems will challenge your learners without overwhelming them. Best of all, you'll be able to watch their skills and confidence grow as they begin to internalize strategies for conquering this difficult math skill.

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Free Printable Data Word Problems Worksheets for 4th Grade

Math Data Word Problems: Discover a collection of free printable worksheets for Grade 4 students, designed to enhance their problem-solving skills and understanding of mathematical data concepts.

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Explore printable Data Word Problems worksheets for 4th Grade

Data Word Problems worksheets for Grade 4 are an essential resource for teachers looking to enhance their students' understanding of math concepts. These worksheets provide a variety of math word problems that are specifically designed for Grade 4 students, covering topics such as addition, subtraction, multiplication, division, fractions, and decimals. By incorporating real-life scenarios and engaging themes, these worksheets help students develop critical thinking and problem-solving skills, which are crucial for success in higher-level math courses. Teachers can easily integrate these worksheets into their lesson plans, using them as in-class activities, homework assignments, or assessment tools. With a wide range of difficulty levels and question types, Data Word Problems worksheets for Grade 4 offer a comprehensive and versatile resource for educators seeking to challenge and inspire their students in the world of math.

Quizizz is an innovative platform that offers a variety of educational resources, including Data Word Problems worksheets for Grade 4, to help teachers create engaging and interactive learning experiences for their students. In addition to worksheets, Quizizz also provides teachers with access to thousands of customizable quizzes, games, and activities that cover a wide range of subjects and grade levels. By incorporating these resources into their lesson plans, teachers can easily track student progress, identify areas for improvement, and provide personalized feedback to help students excel in math and other subjects. Furthermore, Quizizz's user-friendly interface and compatibility with various devices make it an ideal tool for both in-person and remote learning environments. With Quizizz, teachers can seamlessly integrate technology into their classrooms, transforming the way students learn and interact with math word problems and other educational content.

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Word Problems Games for 4th Grade

Word problem games help to engage your child and develop analytical skills. With SplashLearn, you as a parent can learn how you can leverage your child’s interest in fun math games to make them enjoy mathematics.

problem solving problems grade 4

CONTENT TYPE

  • Lesson Plans
  • Number Sense (31)
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Addition and Subtraction Word Problems Games

Solve Scenarios with 'Difference Unknown' Game

Solve Scenarios with 'Difference Unknown' Game

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

Solve Word Problems with Add to Scenarios Game

Solve Word Problems with Add to Scenarios Game

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

Solve Subtraction Word Problems Game

Solve Subtraction Word Problems Game

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

Solve Word Problems on Adding Three Numbers Game

Solve Word Problems on Adding Three Numbers Game

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

Multiplication and Division Word Problems Games

Solve Word Problems Related to Division Game

Solve Word Problems Related to Division Game

Add more arrows to your child’s math quiver by solving word problems related to division.

Solve Word Problems Related to Multiplicative Comparison Game

Solve Word Problems Related to Multiplicative Comparison Game

Use your math skills to solve word problems related to multiplicative comparison.

Select the Correct Multiplication Expression Game

Select the Correct Multiplication Expression Game

Select the correct multiplication expression to play this game.

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.

Fraction Word Problems Games

Solve Word Problems on Fraction-Whole Number Multiplication Game

Solve Word Problems on Fraction-Whole Number Multiplication Game

Apply your knowledge to solve word problems on fraction-whole number multiplication.

Solve the Word Problems on Fraction Addition Game

Solve the Word Problems on Fraction Addition Game

Have your own math-themed party by learning how to solve the word problems on fraction addition.

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.

Money Word Problems Games

Find the Amount that was Paid Game

Find the Amount that was Paid Game

Take a look at how to find the amount that was paid with this counting money game.

Find the Remaining Amount of Money Game

Find the Remaining Amount of Money Game

Solve math problems to find the remaining amount of money.

Solve Word Problems on Adding Money Game

Solve Word Problems on Adding Money Game

Enjoy the marvel of mathematics by exploring how to solve word problems on adding money.

Find the Change Game

Find the Change Game

Use your counting money skills to find the change.

All Word Problems Games

Solve Word Problems with Put Together Scenarios Game

Solve Word Problems with Put Together Scenarios Game

Ask your little one to solve word problems with "Put Together" scenarios.

Solve Word Problems on Subtracting Money Game

Solve Word Problems on Subtracting Money Game

Have your own math-themed party by learning how to solve word problems on subtracting money.

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.

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.

Multiply and Calculate the Total Money Paid Game

Multiply and Calculate the Total Money Paid Game

Enjoy the marvel of mathematics by exploring how to multiply and calculate the total money paid.

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.

Divide and Find the Amount Asked in Each Scenario Game

Divide and Find the Amount Asked in Each Scenario Game

Sharpen your counting money skills as you divide and find the amount asked in each scenario.

Usually, the Mathematics textbook problems focus on numbers and do not prepare your child for real-world challenges. With online games, you can provide them with a wonderful educational experience for life. Check this blog to learn how word problem games can enhance your kid's learning experience.

Introduction

The COVID-19 pandemic has taught us that problems can occur at any moment, and one needs to know how to keep themselves calm in the face of adversity. With online educational games, you can convey this life lesson to your kids by teaching them that nothing can come in the way of their education.

When you provide your little ones with a fun way to master a demanding subject such as Mathematics, it helps build their confidence.

Word problems involve a few sentences that explain a real-life situation where a problem needs to be solved through mathematical calculation. Let's get to the following sections to know more about word problems. 

What are Word Problem Games? 

Word problems such as 'Multiply Fractions by Whole' are popular games that will gauge your child’s understanding and help them improve their mathematical skills. In this game, the child will be given problems such as if preparing a recipe requires X amount of a given ingredient, the child needs to compute the fraction of ingredient in each serving.

There are several word problems on adding, subtracting, multiplying, and dividing money and that will be your child’s introduction to the world of finances.

The games cover problems with decimals, thereby giving your kid a holistic understanding of basic mathematical concepts. Problem games include ones where the child is asked to compute the total money when he originally had X amount and has spent Y amount from it.

Some educational websites like SplashLearn take a fun approach to teach Mathematics. There are additive and multiplicative comparison word problem games that involve addition and multiplication respectively to find an unknown value.

Games such as ‘Multiply Fractions by Whole’ lets the child practice their skills without realizing that someone is gauging their performance.

Difficulties with Solving Word Problems

Word problems are often a cause of worry for primary grade kids, and children are often left fearing such topics. A major concern among children is that they do not understand the language of the word problems.

Strategies to Support Your Kid

  • Online games will give kids ample practice, and in no time, your child will ace at problem-solving. These games allow you to ensure that your child is up to date on their learning curve. 
  • Since your child will have fun while playing the game, they will want to do it for longer. That way, they will have more time with the concepts and become better learners. 
  • When children practice their word problems while having fun, they figure out how to identify keywords in problem statements to gauge the expectations. As they successfully complete one-word problem after another, it builds their confidence.

Final Thoughts

SplashLearn is an online platform that helps your child focus on the analytical side of mathematics. That way, the focus is on the learning and not on the child’s grade. The subject does not come off as monotonous, and the child will be more receptive to the concepts. 

How do you help your child in their learning process to make it fun-filled for them? Write to us at [email protected] with your feedback and comments.

Compare the Given Word Problems Worksheet

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Division Worksheets Grade 4 Solving Division Problems

Welcome to our Division Worksheets Grade 4 page. Here you will find a wide range of free 4th Grade Division Worksheets, which will help your child learn to solve division problems across a range of different contexts.

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Division Worksheets Grade 4

Solving division problems.

The worksheets on this page have been designed to support your child on their division journey from the start of 4th grade to the end.

The first two sets of sheets involve working out division problems where there is no remainder.

The second two sets involve working out harder division problems with remainders.

In order to solve the second sets of word problems, the remainder needs to be rounded up or down, depending on the context.

Each set of division word problems has been subdivided into 3 worksheets:

  • Sheet A - an easier worksheet;
  • Sheet B - a medium worksheet;
  • Sheet C - a harder worksheet.

Division Worksheets Grade 4 - Worksheets

Set 1 - solving division problems with no remainder..

  • Division Problems 4.1 Sheet A
  • PDF version
  • Division Problems 4.1 Sheet B
  • Division Problems 4.1 Sheet C

Set 2 - solving division problems with no remainder.

  • Division Problems 4.2 Sheet A
  • Division Problems 4.2 Sheet B
  • Division Problems 4.2 Sheet C

Set 3 with remainders

This set involves solving division problems with a remainder. The answer needs to be rounded up or down, depending on the context.

  • Division Problems 4.3 Sheet A
  • Division Problems 4.3 Sheet B
  • Division Problems 4.3 Sheet C

Set 4 with remainders

  • Division Problems 4.4 Sheet A
  • Division Problems 4.4 Sheet B
  • Division Problems 4.4 Sheet C

Looking for some easier Division worksheets

Our 3rd grade division worksheets are similar to those on this page but at an easier level.

The link below will take you to our division worksheets for 3rd grade.

  • Division Worksheets Grade 3 Word Problems
  • Division Facts to 10x10 Worksheets
  • Long Division Worksheets 3rd Grade

More Recommended Math Worksheets

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

More Division Worksheets

  • Divide a multi-digit number by a single digit;
  • Use remainders when dividing;
  • Calculate division facts related to multiplication facts.
  • Divding by Multiples of 10 and 100 Worksheets
  • 4th Grade Long Division Worksheets
  • Division Facts Worksheets (randomly generated)

More Fourth Grade Math Problems

Here is our set of 4th grade math problems to help your child with their problem solving skills.

Each problem sheet comes complete with answers, and is available in both standard and metric units where applicable.

Many of the problems are based around 'real-life' problems and data such as the world's heaviest animals.

Using these sheets will help your child to:

  • apply their addition, subtraction and problem solving skills;
  • apply their knowledge of rounding and place value;
  • solve a range of 'real life' problems;
  • attempt more challenging longer problems.

Using the problems in this section will help your child develop their problem solving and reasoning skills.

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

  • 4th Grade Math Problems

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

  • 4th Grade Math Word Problems

These sheets involve solving a range of multiplciation problems.

  • Multiplication Word Problems 4th Grade

Fourth Grade Math Games

Here you will find a range of free printable 4th Grade Math games. All children like to play Math games, and you will find a good range of Grade 4 Math Games here for your child to play and enjoy.

The following games involve different 4th Grade Math activities which you and your child can enjoy together.

All the free 4th Grade Math Worksheets in this section support the Elementary Math Benchmarks for Fourth Grade.

  • Math Games 4th Grade
  • 4th Grade Math Puzzles

Here you will find a range of printable 4th grade math puzzles for your child to enjoy.

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.

Using these puzzles will help your child to:

  • learn and practice their addition facts;
  • practice adding both positive and negative numbers;
  • practice their subtraction facts;
  • practice multiplication and division facts;
  • develop problem solving skills and reasoning.

All the puzzles support elementary math benchmarks for 4th grade.

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Rooftop solar panels are flooding California’s grid. That’s a problem.

As electricity prices go negative, the golden state is struggling to offload a glut of solar power.

problem solving problems grade 4

In sunny California, solar panels are everywhere. They sit in dry, desert landscapes in the Central Valley and are scattered over rooftops in Los Angeles’s urban center. By last count, the state had nearly 47 gigawatts of solar power installed — enough to power 13.9 million homes and provide over a quarter of the Golden State’s electricity.

But now, the state and its grid operator are grappling with a strange reality: There is so much solar on the grid that, on sunny spring days when there’s not as much demand, electricity prices go negative. Gigawatts of solar are “curtailed” — essentially, thrown away.

In response, California has cut back incentives for rooftop solar and slowed the pace of installing panels. But the diminishing economic returns may slow the development of solar in a state that has tried to move to renewable energy . And as other states build more and more solar plants of their own, they may soon face the same problems.

“These are not insurmountable challenges,” said Michelle Davis, head of global solar at the energy research and consulting firm Wood Mackenzie Power and Renewables. “But they are challenges that a lot of grid operators have never had to deal with.”

Solar power has many wonderful properties — once built, it costs almost nothing to run; it produces no air pollution and generates energy without burning fossil fuels. But it also has one major, obvious drawback: The sun doesn’t shine all the time.

Over 15 years ago, researchers at the National Renewable Energy Laboratory were in the midst of modeling a future with widespread solar power when they noticed something strange. With lots of solar power on a given electricity grid, the net load — or the demand for electricity minus the renewable energy — would take on a “U” shape. Sky-high demand in the morning would be replaced by almost zero demand in the middle of the day, when solar power could generate virtually all electricity people needed. Then as the sun set, demand surged up again.

California’s grid operator, known as CAISO, later dubbed this effect the “ duck curve .” (If you squint, you can imagine the curve as the belly of a duck.) It’s most prominent in the spring months, when solar panels get plenty of sunshine but there is less demand for heating and cooling.

In recent years in California, the duck curve has become a massive, deep canyon — and solar power is going unused. In 2022, the state wasted 2.4 million megawatt-hours of electricity, 95 percent of which was solar. (That’s roughly 1 percent of the state’s overall power generation in a year, or 5 percent of its solar generation.) Last year, the state did that in just the first eight months.

Clyde Loutan, principal for renewable energy integration at CAISO, says that the state has long been prepared for more solar on the grid. But, he added, “We drastically underestimated the speed at which residential solar was going to come in.”

Curtailing solar isn’t technically difficult — according to Paul Denholm, senior research fellow at the National Renewable Energy Laboratory, it’s equivalent to flipping a switch for grid operators. But throwing away free power raises electricity prices.

It has also undercut the benefits of installing rooftop solar. Since the 1990s, California has been paying owners of rooftop solar panels when they export their energy to the grid. That meant that rooftop solar owners got $0.20 to $0.30 for each kilowatt-hour of electricity that they dispatched.

But a year ago, the state changed this system, known as “net-metering,” and now only compensates new solar panel owners for how much their power is worth to the grid. In the spring, when the duck curve is deepest, that number can dip close to zero. Customers can get more money back if they install batteries and provide power to the grid in the early evening or morning.

The change has sparked a huge backlash from Californians and rooftop solar companies, which say that their businesses are flagging. Indeed, Wood Mackenzie predicts that California residential solar installations in 2024 will fall by around 40 percent. Some state politicians are now trying to reverse the rule.

“Under the CPUC’s leadership California is responsible for the largest loss of solar jobs in our nation’s history,” Bernadette del Chiaro, the executive director of the California Solar and Storage Association, said in a statement referring to California’s public utility commission.

But experts say that it reflects how the economics of solar are changing in a state that has gone all-in on the technology.

“You don’t want the utility or the grid operator to be overpaying for power when they don’t have to,” Davis said.

Other states, which have been slower to adopt solar, are starting to experience the same thing. Nevada, which generates 23 percent of its power from solar, has also seen deepening duck curves. Hawaii, which has thousands of homes with rooftop solar, has cut down on the payments those households get from the grid.

Beyond the sunny West, many states are still trying to ramp up rooftop solar power and extend its reach beyond affluent households. The Biden administration announced $7 billion in grants this week to provide rooftop solar to 900,000 low-income households.

California grid operators hope that their experience will teach other states what to expect as renewables grow. “The problem we’re seeing out West — nobody else has seen this,” Loutan said.

Solar can still grow in California. In the summer, when high air conditioning use strains the grid, solar can be useful even in the middle of the day. Denholm says that as solar continues to drop in price, installing solar that is curtailed regularly can still be cost-effective. “Throwing away some amount of renewable energy can absolutely make economic sense,” he said.

But California’s grid operator still hopes to avoid it if at all possible. Loutan called it “one of the last things we want to do.”

To cope, CAISO is selling some excess power to nearby states; California is also planning to install additional storage and batteries to hold solar power until later in the afternoon. Transmission lines that can carry electricity to nearby regions will also help — some of the lost power comes from regions where there simply aren’t enough power lines to carry a sudden burst of solar.

Denholm says the state is starting to take the steps needed to deal with the glut. “There are fundamental limits to how much solar we can put on the grid before you start needing a lot of storage,” Denholm said. “You can’t just sit around and do nothing.”

More on climate change

Understanding our climate: Global warming is a real phenomenon , and weather disasters are undeniably linked to it . As temperatures rise, heat waves are more often sweeping the globe — and parts of the world are becoming too hot to survive .

What can be done? The Post is tracking a variety of climate solutions , as well as the Biden administration’s actions on environmental issues . It can feel overwhelming facing the impacts of climate change, but there are ways to cope with climate anxiety .

Inventive solutions: Some people have built off-the-grid homes from trash to stand up to a changing climate. As seas rise, others are exploring how to harness marine energy .

What about your role in climate change? Our climate coach Michael J. Coren is answering questions about environmental choices in our everyday lives. Submit yours here. You can also sign up for our Climate Coach newsletter .

  • Pollution fueling a sex imbalance among endangered green sea turtles November 26, 2023 Pollution fueling a sex imbalance among endangered green sea turtles November 26, 2023
  • This Fox News host gives climate skeptics airtime but went solar at home October 25, 2023 This Fox News host gives climate skeptics airtime but went solar at home October 25, 2023
  • How humans have altered the Earth enough to start a new chapter of geologic time June 20, 2023 How humans have altered the Earth enough to start a new chapter of geologic time June 20, 2023

problem solving problems grade 4

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  • Word Problems
  • Writing & comparing fractions

Introduction to Fractions Workbook

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Writing & comparing fractions word problems

Comparing fractions in context.

Below are word problem worksheets involving the writing and comparing of fractions. Both "parts of whole" and "parts of group" are considered. If comparing fractions, either i) the fractions will have like denominators, or ii) the fractions will be significantly different (e.g 1/8 vs 3/4) so that students can recognize which fraction is larger without necessarily converting to like denominators.

problem solving problems grade 4

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  1. Problem Solving Worksheets For Grade 4

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  2. 😎 Problem solving math grade 4. 4th Grade Math Problems. 2019-02-01

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  3. Problem solving using subtraction, Mathematics skills online

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  4. 4th grade word problem worksheets

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  6. Problem Solving: Grade 4 (Flash Skills)

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VIDEO

  1. How to learn Solving Problems with Linear Systems Grade 10 Academic lesson 1 5

  2. Many didn't know how to solve this!

  3. Unit 5: Problem Solving #6

  4. Multi-Step Word Problems

  5. Unit 3 Section B practice problems

  6. Word problems : Addition and Subtraction

COMMENTS

  1. 4th grade word problem worksheets

    Math word problem worksheets for grade 4. These word problem worksheets place 4th grade math concepts into real world problems that students can relate to. We encourage students to read and think about the problems carefully, by: providing mixed word problem worksheets. including irrelevant data within word problems so students must understand ...

  2. 4th Grade Math Problems

    The 4th grade math problems on the sheets are longer math problems designed to encourage children to use a range of math skills to solve them. The skills the problems will help to develop include: systematic working. logical thinking. number fact knowledge. fraction problems. trial and improvement strategies.

  3. Grade 4 Word Problems

    Grade 4 Word Problem Worksheets. Free printable fourth 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! Click on the images below to download the word problem worksheets.

  4. 4th Grade Math Word Problems: Free Worksheets with Answers

    The following collection of free 4th grade maths word problems worksheets cover topics including addition, subtraction, multiplication, division, mixed operations, fractions, and decimals. Students need to gain a strong understanding of place value in order to understand the relationship between digits and how these relationships apply to ...

  5. 4th Grade Math Worksheets

    Division Worksheets 4th Grade. Using these 4th grade math worksheets will help your child learn to: apply their division facts up to 10x10 to answer related questions involving 10s and 100s. divide any whole number by a single digit. Divding by Multiples of 10 and 100 Worksheets. 4th Grade Long Division Worksheets.

  6. Grade 4 word problem worksheets on the 4 operations

    Students use the 4 basic operations (addition, subtraction, multiplication and division) to solve these word problems. Some questions will have more than one step. Mixing word problems encourages students to read and think about the questions rather than recognizing a pattern to the solutions. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4.

  7. Free Printable Multi-Step Word Problems Worksheets for 4th Grade

    Multi-Step Word Problems worksheets for Grade 4 are an essential tool for teachers to help their students develop strong problem-solving skills in math. These worksheets provide a variety of challenging math word problems that require students to use multiple steps and operations to find the solution. By incorporating these worksheets into ...

  8. 4th Grade Math Word Problems

    Heaviest Terrestrial Animals Problems. Heaviest Terrestrial Animals are a sheet of 4th grade math problems which involve solving a range of problems involving decimals with mainly 1 decimal place. Rounding, adding, subtracting and multiplying by 1000 are covered in these sheets. This sheet is available in standard and metric units.

  9. Problem Solving. Fourth Grade Math Worksheets and Study Guides

    Use the four operations with whole numbers to solve problems. Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (See Appendix A, Table 2.) [4-OA2]

  10. IXL

    IXL plans. Washington state standards. Textbooks. Test prep. Improve your math knowledge with free questions in "Multi-step word problems" and thousands of other math skills.

  11. Free Printable Math Word Problems Worksheets for 4th Grade

    Math Word Problems worksheets for Grade 4 are an essential resource for teachers looking to challenge their students and help them develop strong problem-solving skills. These worksheets provide a variety of math problems that require students to apply their knowledge of addition, subtraction, multiplication, and division in real-life ...

  12. Fourth grade math worksheets

    K5 Learning offers free worksheets, flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads. 4th grade math worksheets: Multiplication, division, rounding, fractions, decimals , telling time, counting money, order of operations, factoring, roman numerals, geometry ...

  13. Fourth Grade (Grade 4) Problem Solving Strategies Questions

    Grade 4 Problem Solving Strategies CCSS: MP7. Write a number in the center box of the web. In each of the outer squares of the web write a unique problem that equals your number. Try to create two problems each for addition, subtraction, multiplication, and division. Grade 4 Problem Solving ...

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

    3. Mr. Mathematica gave his class these digits: 1, 5, 7, 9, 2, 8, and 5. He asked them to make the smallest number possible using every digit once. What would that number be? 4. The detectives found this number pattern as part of the code on a keypad to unlock a vault. 27, 26, 24, 23, 21, __, __.

  15. Maths Problems With Answers

    The side of one square is 4 cm. Find the total area of the shaded shape. . Sam, Carla and Sarah spent on afternoon collecting sea shells. Sam collected 11. If we add the number of sea shells collected by Sam and Carla, the total would be 24. If we add the number of sea shells collected by Carla and Sarah, the total would be 25 shells.

  16. Multiplication Word Problems 4th Grade

    4th Grade Multiplication Problems. Here you will find a range of problem solving worksheets involving multiplication. Each sheet involves solving a range of written multiplication problems. There are 3 levels of difficulty for each worksheet below: A,B and C. Worksheet A is the easiest level, suitable for children at the beginning of their grade.

  17. DAILY PROBLEM SOLVING

    Daily digital slides offer your remote or online learners the opportunity to build problem-solving skills in a structured format designed for success. Single slide per day prevents overwhelm or distraction; Organized with clear space to solve & answer; Engaging graphics, themed problems, & fun facts

  18. Free Printable Data Word Problems Worksheets for 4th Grade

    Teachers can easily integrate these worksheets into their lesson plans, using them as in-class activities, homework assignments, or assessment tools. With a wide range of difficulty levels and question types, Data Word Problems worksheets for Grade 4 offer a comprehensive and versatile resource for educators seeking to challenge and inspire ...

  19. Grade 4 mixed word problem worksheets

    Mixed word problem worksheets for grade 4. Below are three versions of our grade 4 math worksheet with mixed word problems involving addition, subtraction, multiplication, division, fractions, decimals, time, money, and measurements of mass, volume and length. Mixed problems are ideal for encouraging students to read and think about problems carefully rather than simply recognizing a pattern ...

  20. Word Problems Games for 4th Grade Online

    Word Problems Games for 4th Grade. Word problem games help to engage your child and develop analytical skills. With SplashLearn, you as a parent can learn how you can leverage your child's interest in fun math games to make them enjoy mathematics. Personalized Learning. Fun Rewards.

  21. Division Worksheets Grade 4

    Here is a selection of Long Division worksheets for 4th Grade. Using these sheets will help your child to: Divide a multi-digit number by a single digit; Use remainders when dividing; Calculate division facts related to multiplication facts. Divding by Multiples of 10 and 100 Worksheets. 4th Grade Long Division Worksheets.

  22. California is grappling with a growing problem: Too much solar

    In recent years in California, the duck curve has become a massive, deep canyon — and solar power is going unused. In 2022, the state wasted 2.4 million megawatt-hours of electricity, 95 percent ...

  23. Grade 4 volume and capacity word problem worksheets

    Word problem worksheets: Volume and Capacity. Below are three versions of our grade 4 measurement worksheet with volume and capacity word problems. Problems involve addition, subtraction, multiplication and division of amounts of volume or capacity. The first worksheet uses customary units (ounces, cups ...), the second worksheet uses metric ...

  24. Grade 4 writing and comparing fractions word problem worksheets

    If comparing fractions, either i) the fractions will have like denominators, or ii) the fractions will be significantly different (e.g 1/8 vs 3/4) so that students can recognize which fraction is larger without necessarily converting to like denominators. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4. Worksheet #5 Worksheet #6.