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Simple word problems solving strategies for grade 4

Get more contents on fourth grade..., math word problems for grade 4 online.

We encourage your 4th graders to engage in our Grade 4 math word problems with answers and explanations . This content is created to offer you excellent skills and strategies for solving all 4th-grade word problems.

Before now, your 4th graders have been striving to develop fluency in solving grade 4 math concepts.

However, our math word problems for grade 4 online and worksheets have stepped in with well-designed outstanding math stories for your kids to practice solving multi-step word problems involving real-life scenarios (money, time, distance, etc.), all-around addition word problems, subtraction word problems, multiplication word problems, division word problems, fraction word problems, decimal word problems, etc.

Also, in its most unique way, we are here to help your kids master the best ways of solving word problems in a step-by-step and organized way, thus to arrive at an accurate and concrete answer.

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  • Adding two numbers up to five digits word problems grade 4
  • Adding two numbers up to seven digits word problems grade 4
  • Estimating sums word problems grade 4
  • Adding 3 or more decimals word problems grade 4
  • Adding and subtracting decimals word problems
  • Division facts up to 10 word problems grade 4
  • Fractions Worksheets And Online Exercises With Answers
  • Fractions of whole word problems grade 4
  • Multiplication
  • 3 digits or 4 digits number by 1 digit numbers multiplication word problems
  • Comparing numbers using multiplication word problems grade 4
  • Estimating products word problems grade 4
  • Multiplying 2 digits number by 2 digits numbers word problems
  • Multiplying a larger number by two digits numbers word problems
  • Multiplying three or more numbers word problems
  • Multiplying two digit number by one digit number word problems grade 4
  • Subtraction
  • Estimating differences word problems grade 4
  • Subtract numbers up to seven digits word problems grade 4
  • Subtracting two numbers up to five digits word problems

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Download 4th-grade worksheets

Hey kiddos! Get ready to enjoy our simple word problems solving strategies for grade 4 . These strategies have been given to help you easily connect the word problems and equations that represent those problems.

In other words, whether it’s a one-step or multi-step word problem for grade 4, gradually follow the steps below:

  • The first step is to begin by reading the word problem carefully at least twice to understand the problem and its keyword perfectly. As such, you’ll correctly know what the problem is asking you to do.
  • Next, you can now write the equation in your own words and then decide what strategy to use in finding the missing information. If it’s a two-step problem, distinguish the two parts of the problem, then identify and solve the first part. Next, the answer from the first step will help you solve the next step.

problem solving for grade 4 with solution and answer

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Problem Solving

Problem solving is an essential skill in math, and in everyday life. It involves identifying a problem, analyzing it, and finding a solution. To become a successful problem solver, you need to understand the different strategies and techniques that can be used to approach and solve problems.

Steps for Problem Solving:

  • Understand the Problem: Read the problem carefully, and make sure you understand what it is asking. Identify the key information and what you are trying to find.
  • Make a Plan: Decide on a strategy to solve the problem. You can use strategies like drawing a picture, making a table, working backward, or using logical reasoning.
  • Carry Out the Plan: Use the strategy you selected to solve the problem. Perform the necessary calculations and operations to find the solution.
  • Check the Solution: After finding a solution, review your work to ensure that it makes sense and answers the original problem.

Problem Solving Strategies:

There are various problem solving strategies that can be used to tackle different types of problems. Some common strategies include:

  • Guess and Check: Guessing a solution and checking to see if it works.
  • Draw a Picture: Visualizing the problem by drawing a diagram or picture.
  • Make a Table: Organizing data in a table to look for patterns or relationships.
  • Work Backward: Starting with the end goal and working backward to find the steps needed to reach that goal.
  • Use Logical Reasoning: Applying logical thinking to analyze and solve the problem.

Practice Problems:

To become proficient at problem solving, it's important to practice solving a variety of problems. Here are a few practice problems to get you started:

  • Sarah has 5 apples. She gives 2 apples to her friend. How many apples does she have left?
  • If a book has 350 pages and Tom reads 50 pages each day , how many days will it take him to finish the book?
  • Alice is twice as old as Bob. If Alice is 20 years old, how old is Bob?

By practicing problem solving regularly, you can improve your skills and become a more confident and successful problem solver!

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◂ Math Worksheets and Study Guides Fourth Grade. Problem Solving

Mathematics - Fourth Grade - Study Guide: Problem Solving

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4th Grade Word Problems

Related Pages More Word Problems More Grade 4 Math Topics Singapore Math Common Core Math

The following are some examples of 4th Grade Math Word Problems that use mixed operations (addition, subtraction, multiplication and division). These problems are solved with the help of block diagrams or bar models (Singapore Math) or tape diagrams (Common Core).

Example: There were 42 mangoes in each crate. 12 such crates of mangoes were delivered to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many boxes of mangoes were there?

Solution: Step 1: Find the total number of mangoes delivered.

12 × 42 = 504

The total number of mangoes delivered was 504.

Step 2: Find the number of remaining mangoes.

504 – 4 = 500

Step 3: Find the number of boxes of mangoes.

500 ÷ 10 = 50

There were 50 boxes of mangoes.

Example: There were 9500 spectators at a football match. 6375 of them were men. Of the remaining spectators, there were 4 times as many children as women. How many children were there?

Solution: Step 1: Find the number of women and children.

9500 – 6375 = 3125

There were 3125 women and children.

Step 2: Find the number of women.

3125 ÷ 5 = 625

There were 625 women.

Step 3: Find the number of children.

625 × 4 = 2500

There were 2500 children.

4th Grade Word Problems and Bar Models Example: Dad bought two hammers. One cost $18 and the other costs $28 more. What was his total bill?

Grade 4 Common Core Math Example: Kyle is making 9 birdhouses. He uses 8 nails for each birdhouse. If Kyle has a box of 100 nails, how many nails will he have left after making the birdhouses?

Model Drawing for 4th Grade Examples: Multiplication

  • A ribbon that’s 1,530 inches long is cut into two pieces. The length of one piece is 2 times the length of the other. What is the length of the longer piece?
  • A piece of fabric that’s 1,640 feet long is cut into two pieces. The length of one piece is 3 times the length of the other. What is the length of the longer piece?

Part-Whole Division 3. A man divided his fortune of $92,000 into 8 equal parts. He gave 4 portions to his wife, 1 portion to his son, and divided the rest equally among three charities. How much more money did the wife receive than the son? 4. A woman divide her collection of 1,200 books into 10 equal parts. She gave 3 portions to her husband, 4 portions to her daughter, and the rest equally to three nieces. How many books did her daughter receive?

Rate Problems 5. Andrew can type 55 words per minute. How many words can he type in 8 minutes? 6. Eddie can write 15 short poems an hour. How many poems can he write in 3 hours?

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problem solving for grade 4 with solution and answer

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!

problem solving for grade 4 with solution and answer

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

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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 for grade 4 with solution and answer

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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Fourth grade math

IXL offers hundreds of fourth grade math skills, lessons, and games to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, state standards, or standardized test.

A. Place value

  • 1 Place value models
  • 2 Place value names
  • 3 Value of a digit
  • 4 Relationship between place values
  • 5 Convert between standard and expanded form
  • 6 Writing numbers up to one million: convert between words and digits
  • 7 Spell word names for numbers up to one million
  • 8 Writing numbers up to one billion: convert between words and digits
  • 9 Place value word problems
  • 10 Convert between place values
  • 11 Place value review

B. Ordering and comparing

  • 1 Compare numbers up to one million
  • 2 Compare numbers up to one billion
  • 3 Compare numbers in tables
  • 4 Order numbers up to one million
  • 5 Find the order

C. Rounding

  • 1 Rounding: up to hundred thousands place
  • 2 Rounding: up to millions place
  • 3 Round a number to any place: up to hundred thousands
  • 4 Rounding input/output tables
  • 5 Rounding puzzles

D. Addition

  • 1 Estimate sums
  • 2 Estimate sums: word problems
  • 3 Add two multi-digit numbers
  • 4 Add two multi-digit numbers: word problems
  • 5 Properties of addition
  • 6 Add 3 or more numbers up to millions
  • 7 Addition: fill in the missing digits
  • 8 Choose numbers with a particular sum

E. Subtraction

  • 1 Estimate differences
  • 2 Estimate differences: word problems
  • 3 Subtract two multi-digit numbers
  • 4 Subtract two multi-digit numbers: word problems
  • 5 Subtraction: fill in the missing digits
  • 6 Choose numbers with a particular difference

F. Multiplication

  • 1 Multiplication facts to 10
  • 2 Multiplication facts to 10: find the missing factor
  • 3 Multiplication facts to 12
  • 4 Multiplication facts to 12: find the missing factor
  • 5 Properties of multiplication
  • 6 Distributive property: find the missing factor
  • 7 Compare numbers using multiplication
  • 8 Compare numbers using multiplication: word problems
  • 9 Comparison word problems: addition or multiplication?
  • 10 Choose numbers with a particular product

G. Factors and multiples

  • 1 Divisibility rules
  • 2 Divisibility rules: word problems
  • 3 Understand factors and factor pairs
  • 4 Identify factors
  • 5 Find all the factor pairs of a number
  • 6 Choose the multiples of a given number up to 10
  • 7 Choose the multiples of a given number up to 12
  • 8 Prime and composite: up to 20
  • 9 Prime and composite: up to 100

H. Multiply by one-digit numbers

  • 1 Multiplication patterns over increasing place values
  • 2 Multiply by multiples of 10, 100, and 1,000
  • 3 Estimate products: multiply by 1-digit numbers
  • 4 Estimate products word problems: identify reasonable answers
  • 5 Multiply 1-digit numbers by teen numbers using grids
  • 6 Multiply 1-digit numbers by 2-digit numbers: choose the area model
  • 7 Multiply 1-digit numbers by 2-digit numbers using area models
  • 8 Multiply using the distributive property
  • 9 Multiply 1-digit numbers by 2-digit numbers
  • 10 Multiply 1-digit numbers by 2-digit numbers: word problems
  • 11 Multiply 1-digit numbers by 2-digit numbers: multi-step word problems
  • 12 Multiply 1-digit numbers by 3-digit or 4-digit numbers: choose the area model
  • 13 Multiply 1-digit numbers by 3-digit or 4-digit numbers using area models
  • 14 Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form
  • 15 Multiply 1-digit numbers by multi-digit numbers using partial products
  • 16 Multiply 1-digit numbers by 3-digit or 4-digit numbers
  • 17 Multiply 1-digit numbers by 3-digit or 4-digit numbers: word problems
  • 18 Multiply 1-digit numbers by 3-digit or 4-digit numbers: multi-step word problems
  • 19 Multiply three numbers

I. Multiply by two-digit numbers

  • 1 Multiply by 10 or 100
  • 2 Multiply by multiples of ten
  • 3 Multiply two multiples of ten: word problems
  • 4 Estimate products: multiply by 2-digit numbers
  • 5 Estimate products: word problems
  • 6 Multiply 2-digit numbers by 2-digit numbers: choose the area model
  • 7 Multiply 2-digit numbers by 2-digit numbers using area models
  • 8 Multiply 2-digit numbers by 2-digit numbers using partial products
  • 9 Multiply a 2-digit number by a 2-digit number: complete the missing steps
  • 10 Multiply a 2-digit number by a 2-digit number
  • 11 Multiply a 2-digit number by a 2-digit number: word problems
  • 12 Multiply a 2-digit number by a 2-digit number: multi-step word problems
  • 13 Inequalities with multiplication
  • 14 Use one multiplication fact to complete another

J. Division

  • 1 Division facts to 10
  • 2 Division facts to 10: word problems
  • 3 Division facts to 12
  • 4 Division facts to 12: word problems
  • 5 Properties of division
  • 6 Choose numbers with a particular quotient

K. Divide by one-digit numbers

  • 1 Division patterns over increasing place values
  • 2 Divide numbers ending in zeros by 1-digit numbers
  • 3 Estimate quotients using compatible numbers: 1-digit divisors
  • 4 Divide by 1-digit numbers: pick the better estimate
  • 5 Divide 2-digit numbers by 1-digit numbers using arrays
  • 6 Divide 2-digit numbers by 1-digit numbers using area models
  • 7 Divide using the distributive property
  • 8 Divide 2-digit numbers by 1-digit numbers: quotients up to 10
  • 9 Divide 2-digit numbers by 1-digit numbers
  • 10 Divide 2-digit numbers by 1-digit numbers: complete the table
  • 11 Divide 3-digit numbers by 1-digit numbers using area models
  • 12 Divide using partial quotients
  • 13 Divide using partial quotients with remainders
  • 14 Divide larger numbers by 1-digit numbers
  • 15 Inequalities with division
  • 16 Estimate to compare quotients

L. Division word problems

  • 1 Divide numbers ending in zeros by 1-digit numbers: word problems
  • 2 Divide 2-digit numbers by 1-digit numbers: interpret remainders
  • 3 Divide 2-digit numbers by 1-digit numbers: word problems
  • 4 Divide larger numbers by 1-digit numbers: interpret remainders
  • 5 Divide larger numbers by 1-digit numbers: word problems

M. Mixed operations

  • 1 Add and subtract numbers ending in zeros
  • 2 Estimate sums, differences, products, and quotients: word problems
  • 3 Add, subtract, multiply, and divide
  • 4 Comparison word problems with addition and subtraction
  • 5 Addition, subtraction, multiplication, and division word problems
  • 6 Choose numbers with a particular sum, difference, product, or quotient
  • 7 Find two numbers based on sum and difference
  • 8 Find two numbers based on sum and product
  • 9 Find two numbers based on sum, difference, product, and quotient
  • 10 Inequalities involving addition, subtraction, multiplication, and division
  • 11 Write equations to represent word problems
  • 12 Solve equations
  • 13 Use equations to solve addition and subtraction word problems
  • 14 Understand parentheses in equations

N. Multi-step word problems

  • 1 Multi-step addition and subtraction word problems
  • 2 Multi-step word problems with strip diagrams
  • 3 Use strip diagrams to represent and solve multi-step word problems
  • 4 Multi-step word problems
  • 5 Multi-step word problems involving remainders
  • 6 Multi-step word problems: identify reasonable answers
  • 7 Word problems with extra or missing information
  • 8 Solve word problems using guess-and-check

O. Patterns and sequences

  • 1 Use a rule to complete a number pattern
  • 2 What is true about the given pattern?
  • 3 What is true about the pattern made by the rule?
  • 4 Identify mistakes in number patterns
  • 5 Complete an increasing number pattern
  • 6 Complete a multiplication number pattern
  • 7 Number patterns: word problems
  • 8 Number patterns: mixed review
  • 9 Extend growing shape patterns
  • 10 Multiplication input/output tables
  • 11 Multiplication input/output tables: find the rule
  • 12 Use a rule to complete an input/output table
  • 13 Input/output tables with addition, subtraction, multiplication, and division

P. Equivalent fractions

  • 1 Fractions of a whole: word problems
  • 2 Fractions of a group: word problems
  • 3 Find equivalent fractions using area models
  • 4 Identify equivalent fractions using number lines
  • 5 Graph equivalent fractions on number lines
  • 6 Identify equivalent fractions
  • 7 Equivalent fractions: find the missing numerator or denominator
  • 8 Patterns of equivalent fractions
  • 9 Fractions with denominators of 10 and 100
  • 10 Write fractions in lowest terms

Q. Mixed numbers

  • 1 Identify mixed numbers
  • 2 Fractions and mixed numbers with denominators of 10 and 100
  • 3 Convert mixed numbers to improper fractions
  • 4 Convert improper fractions to mixed numbers
  • 5 Convert between improper fractions and mixed numbers

R. Compare and order fractions

  • 1 Compare fractions with like numerators or denominators using models
  • 2 Graph and compare fractions with like numerators or denominators on number lines
  • 3 Compare fractions with like numerators or denominators
  • 4 Compare fractions using models
  • 5 Benchmark fractions
  • 6 Compare fractions using benchmarks
  • 7 Compare fractions using benchmarks: find the missing numerator
  • 8 Compare fractions
  • 9 Compare fractions: find the missing numerator or denominator
  • 10 Compare fractions in recipes
  • 11 Find smaller or larger fractions
  • 12 Graph and order fractions on number lines
  • 13 Order fractions with like numerators or denominators
  • 14 Order fractions
  • 15 Compare mixed numbers

S. Understand fraction addition and subtraction

  • 1 Decompose fractions into unit fractions using models
  • 2 Decompose fractions into unit fractions
  • 3 Decompose fractions
  • 4 Decompose fractions multiple ways
  • 5 Add fractions with like denominators using area models
  • 6 Add fractions with like denominators using strip models
  • 7 Add fractions with like denominators using number lines
  • 8 Subtract fractions with like denominators using area models
  • 9 Subtract fractions with like denominators using strip models
  • 10 Subtract fractions with like denominators using number lines
  • 11 Add and subtract fractions with like denominators using number lines

T. Add and subtract fractions with like denominators

  • 1 Add fractions with like denominators
  • 2 Subtract fractions with like denominators
  • 3 Add and subtract fractions with like denominators
  • 4 Add and subtract fractions with like denominators: word problems
  • 5 Add and subtract fractions with like denominators in recipes
  • 6 Add 3 or more fractions with like denominators
  • 7 Compare sums and differences of fractions with like denominators
  • 8 Add and subtract mixed numbers with like denominators - without regrouping
  • 9 Add mixed numbers with like denominators
  • 10 Subtract mixed numbers with like denominators
  • 11 Add and subtract mixed numbers with like denominators
  • 12 Add and subtract mixed numbers with like denominators in recipes
  • 13 Add and subtract mixed numbers with like denominators: word problems

U. Add and subtract fractions with unlike denominators

  • 1 Add fractions: denominators 10 and 100
  • 2 Identify fraction expressions with a particular sum: denominators of 10 and 100
  • 3 Add fractions with unlike denominators using models
  • 4 Add fractions with unlike denominators
  • 5 Subtract fractions with unlike denominators using models
  • 6 Subtract fractions with unlike denominators
  • 7 Add and subtract fractions with unlike denominators: word problems

V. Multiply unit fractions and whole numbers

  • 1 Multiply unit fractions by whole numbers using models
  • 2 Multiply unit fractions by whole numbers using number lines
  • 3 Multiples of unit fractions: find the missing numbers
  • 4 Multiply unit fractions by whole numbers: sorting
  • 5 Multiply unit fractions by whole numbers
  • 6 Multiply unit fractions by whole numbers: word problems

W. Multiply fractions and whole numbers

  • 1 Multiply fractions by whole numbers using models
  • 2 Multiply fractions by whole numbers using models: complete the equation
  • 3 Multiply fractions by whole numbers using number lines
  • 4 Multiples of fractions: find the missing numbers
  • 5 Multiply fractions by whole numbers: sorting
  • 6 Multiply fractions by whole numbers
  • 7 Multiply fractions by whole numbers: word problems
  • 8 Multiply mixed numbers by whole numbers
  • 9 Multiply mixed numbers by whole numbers: word problems
  • 10 Multiply fractions and mixed numbers by whole numbers in recipes
  • 11 Fractions of a number: model and multiply
  • 12 Fractions of a number
  • 13 Fractions of a number: word problems

X. Relate fractions and decimals

  • 1 Model decimals and fractions
  • 2 What decimal number is illustrated?
  • 3 Graph fractions as decimals on number lines
  • 4 Graph decimals on number lines
  • 5 Decimal number lines
  • 6 Convert fractions and mixed numbers to decimals - denominators of 10 and 100
  • 7 Convert decimals to fractions and mixed numbers
  • 8 Convert fractions and mixed numbers to decimals

Y. Decimals

  • 1 Place value models for decimal numbers
  • 2 Place values in decimal numbers
  • 3 Relate decimals and money
  • 4 Convert decimals between standard and expanded form using fractions
  • 5 Understanding decimals expressed in words
  • 6 Compare decimals using models
  • 7 Compare decimals on number lines
  • 8 Compare decimal numbers
  • 9 Compare decimals and fractions
  • 10 Put decimal numbers in order I
  • 11 Put decimal numbers in order II

Z. Add and subtract decimals

  • 1 One-tenth or one-hundredth more or less
  • 2 Add decimals using blocks
  • 3 Add decimal numbers
  • 4 Subtract decimals using blocks
  • 5 Subtract decimal numbers
  • 6 Add and subtract decimals
  • 7 Add and subtract decimals: word problems
  • 8 Choose decimals with a particular sum or difference
  • 9 Add 3 or more decimals
  • 10 Add 3 or more decimals: word problems
  • 11 Complete the addition or subtraction sentence
  • 12 Inequalities with addition and subtraction
  • 13 Solve decimal problems using diagrams
  • 14 Number sequences involving decimals
  • 1 Count coins and bills - up to $20 bill
  • 2 Count coins and bills word problems - up to $20 bill
  • 3 Compare money amounts
  • 4 Add and subtract money amounts
  • 5 Find the change, price, or amount paid
  • 6 Price lists with addition and subtraction
  • 7 Add, subtract, multiply, and divide money amounts
  • 8 Multi-step word problems with money: addition and subtraction only
  • 9 Multi-step word problems with money

BB. Data and graphs

  • 1 Read a table
  • 2 Interpret line plots
  • 3 Create line plots with fractions
  • 4 Create and interpret line plots with fractions
  • 5 Create line graphs
  • 6 Interpret line graphs
  • 7 Create bar graphs
  • 8 Interpret bar graphs
  • 9 Interpret bar graphs: multi-step problems
  • 10 Create frequency charts
  • 11 Interpret frequency charts
  • 12 Create stem-and-leaf plots
  • 13 Interpret stem-and-leaf plots
  • 1 Convert time units
  • 2 Convert mixed time units
  • 3 Add and subtract mixed time units
  • 4 Elapsed time
  • 5 Elapsed time: word problems
  • 6 Find start and end times: multi-step word problems
  • 7 Elapsed time: read a schedule
  • 8 Transportation schedules
  • 9 Time zones
  • 10 Fractions of time units

DD. Customary units of measurement

  • 1 Measure using an inch ruler
  • 2 Which customary unit is appropriate?
  • 3 Convert and compare customary units of length
  • 4 Convert and compare customary units of weight
  • 5 Convert and compare customary units of volume
  • 6 Convert and compare customary units
  • 7 Conversion tables - customary units
  • 8 Compare customary units by multiplying
  • 9 Convert mixed customary units
  • 10 Add and subtract mixed customary units

EE. Metric units of measurement

  • 1 Which metric unit is appropriate?
  • 2 Convert and compare metric units of length
  • 3 Convert and compare metric units of mass
  • 4 Convert and compare metric units of volume
  • 5 Convert and compare metric units
  • 6 Conversion tables - metric units
  • 7 Convert mixed metric units
  • 8 Add and subtract mixed metric units

FF. Measurement word problems

  • 1 Measurement word problems
  • 2 Measurement word problems with fractions

GG. Perimeter

  • 1 Perimeter of polygons
  • 2 Perimeter: find the missing side length
  • 3 Find the perimeter of rectangles using formulas
  • 4 Perimeter: word problems
  • 1 Create rectangles with a given area
  • 2 Find the area of rectangles using formulas
  • 3 Find the area or missing side length of a rectangle
  • 4 Area: word problems
  • 5 Area of complex figures
  • 6 Area between two rectangles
  • 7 Compare area and perimeter of rectangles and squares
  • 8 Relationship between area and perimeter
  • 9 Area and perimeter: word problems
  • 10 Rectangles: relationship between perimeter and area word problems
  • 11 Use area and perimeter to determine cost

II. Lines and angles

  • 1 Points, lines, line segments, rays, and angles
  • 2 Parallel, perpendicular, and intersecting lines
  • 3 Identify parallel, perpendicular, and intersecting lines

JJ. Angle measurement

  • 1 Acute, right, obtuse, and straight angles
  • 2 Angles as fractions of a circle
  • 3 Use fractions to find the measure of an angle
  • 4 Angles of 90, 180, 270, and 360 degrees
  • 5 Measure angles on a circle
  • 6 Measure angles with a protractor
  • 7 Draw angles with a protractor
  • 8 Estimate angle measurements
  • 9 Adjacent angles
  • 10 Angle measures: word problems

KK. Triangles

  • 1 Acute, obtuse, and right triangles
  • 2 Scalene, isosceles, and equilateral triangles
  • 3 Classify triangles

LL. Quadrilaterals

  • 1 Parallel sides in quadrilaterals
  • 2 Sides and angles of quadrilaterals
  • 3 Identify parallelograms
  • 4 Identify trapezoids
  • 5 Identify rectangles
  • 6 Identify rhombuses
  • 7 Classify quadrilaterals
  • 8 Pick all the names for a quadrilateral
  • 9 Draw quadrilaterals

MM. Symmetry

  • 1 Identify lines of symmetry
  • 2 Draw lines of symmetry
  • 3 Count lines of symmetry

NN. Financial literacy

  • 1 Identify fixed and variable expenses
  • 2 Calculate profit: word problems
  • 3 Compare savings options
  • 4 Budget a weekly allowance: word problems
  • 5 Financial institution vocabulary

Fourth grade lessons

These lessons help you brush up on important math topics and prepare you to dive into skill practice!

Number sense

  • Place value
  • Writing numbers in expanded form
  • Writing numbers in word form
  • Rounding numbers
  • Comparing numbers
  • Prime and composite numbers

Multiplication

  • Multiplying multiples of 10
  • Estimating products
  • Area model multiplication
  • Partial products
  • Lattice multiplication
  • Multiplying by 1-digit numbers
  • Multiplying by 2-digit numbers
  • Long multiplication
  • Square numbers
  • Dividing multiples of 10
  • Estimating quotients
  • Partial quotients
  • Area model division
  • Dividing by 1-digit numbers
  • Long division
  • Divisibility rules

Properties and mixed operations

  • The distributive property
  • Order of operations
  • Fractions overview
  • Understanding fractions
  • Fraction area models
  • Fractions on a number line
  • Fractions of a set
  • Equivalent fractions
  • Comparing fractions
  • Least common denominator
  • Simplest form
  • Mixed numbers and improper fractions

Adding fractions

  • Adding fractions with like denominators
  • Adding mixed numbers

Subtracting fractions

  • Subtracting fractions with like denominators
  • Subtracting mixed numbers

Multiplying fractions

  • Multiplying fractions and whole numbers
  • What is a decimal?
  • Fractions and decimals
  • Decimal place value
  • Equivalent decimals
  • Comparing decimals
  • Lines, line segments, and rays
  • Parallel and perpendicular lines
  • What is an angle?
  • Types of angles
  • Measuring angles with a protractor
  • Types of triangles
  • Types of quadrilaterals
  • Parallelograms
  • Regular polygons
  • Area of rectangles
  • Area of compound shapes
  • Lines of symmetry

Data and measurement

  • Elapsed time
  • Metric units of measurement
  • Customary units of measurement

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Multiplication Workbook for Grade 4

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Multiplication & division word problems

Mixed multiplication & division.

These grade 4 math worksheets have mixed multiplication and division word problems . All numbers are whole numbers with 1 to 4 digits. Division questions may have remainders which need to be interpreted (e.g. "how many left over"). In the last question of each worksheet, students are asked to write an equation with a variable for the unknown quantity.

problem solving for grade 4 with solution and answer

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Free Mathematics Tutorials

Free Mathematics Tutorials

Solutions and explanations to maths problems - grade 4 math.

Solutions and detailed explanations to Grade 4 math problems are presented.

Problems and their Solutions

Solution The perimeter P of the rectangle is equal to P = 15 + 25 + 15 + 25 = 80 The perimeter of the square is equal to the perimeter of the rectangle and is then equal to 80. The square has 4 sides of equal lengths. Since 80 = 20 + 20 + 20 + 20 then the length of a side is equal to 20

  • 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 Problems

  • Russia, Canada, USA, China, India, Uk.
  • 3075 sweets
  • 36,500 days in one century
  • 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 seets each and 3 boxes with 4 seets each
  • 7 chickens and 9 rabbits
  • 10 chickens and 6 rabbits

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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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Fryer, Galois and Hypatia Contests

Student writing Hypatia contests in the classroom

Important dates

Contest dates:  

  • North and South America: Thursday, April 3, 2025
  • Outside North and South America: Friday, April 4, 2025

Ordering deadline: Thursday, March 6, 2025 

Student writing CEMC contest

Contest overview

The Fryer, Galois and Hypatia (FGH) Contests are three grade-specific contests that run concurrently by grade level. The FGH Contests provide a unique opportunity for participants to write a full-solution contest — a format that can help learners develop both problem-solving and communication skills. These fun and engaging contests are designed to foster critical thinking by presenting problems that progressively lead to more complex questions for participants to solve. 

Contest details

  • Students in Grade 9 are eligible to write the Fryer Contest.
  • Students in Grade 10 are eligible to write the Galois Contest.
  • Students in Grade 11 are eligible to write the Hypatia Contest.
  • Motivated students in lower grades are welcome to write the contest. 

Contest dates:

Contest timing: Contest Supervisors are expected to administer the contest as close to the beginning of the school day as possible in their respective time zones on the official contest date in their country.

Contest format

  • 4 questions; a mix of final answer only and full-solution.
  • Time allowed for completion is 75 minutes.
  • Score out of 40.
  • Each submitted solution is assessed for completeness, clarity, and presentation style; a correct solution, poorly presented, will not earn a full score for that problem.
  • Written at school, participants write individually and on paper. 
  • Some calculators permitted. 

Mathematical content

Questions on the FGH Contests are based on curriculum common to all Canadian provinces. Rather than testing content recall, most of the problems require logical thinking and mathematical problem-solving skills. 

Contest preparation

Below are links to three types of resources and classroom support that can help with preparation for the Fryer, Galois and Hypatia (FGH) Contests:

  • Past Contests: Participants can review and attempt past contests to gain a better understanding of the contest format, level of difficulty and time management. The CEMC has published contests and their solutions from previous years in the Past Contests section of Tools and Resources.
  • Math Courseware: Participants can use the CEMC’s free, online Courseware to learn and review important curriculum content and concepts.
  • CEMC Visits Schools: Experts from the CEMC are available to conduct problem-solving workshops for students and educators. Visit CEMC Visits Schools to learn more.

Contest supervision

  • Contest Supervisors should arrange to have participants write the contest in school and are responsible for ensuring that participants are supervised appropriately.
  • After writing the contest, all materials must be returned to the CEMC as one package for marking.
  • Results will be available in the Contest Supervisor Portal four to six weeks after the contest date. 

Contest fees

Contest fee per participant: $12.00  

Processing fee per order, applies to all contest orders: $5.00  

Shipping fee per order:  

  • For schools in Canada: $5.00 per order  
  • For schools outside Canada: 15% of the contest order total, before processing fees and applicable taxes (minimum charge of $10.00) 

This contest is tax-exempt within Canada and internationally.  

Each school is responsible for independently arranging and paying for the shipping of completed contests back to the CEMC. We recommend using a courier to ensure materials are returned safely and in good condition for marking.  

The CEMC does not offer refunds, returns or cancellations of any kind.

Awards and recognition

We believe that all students will enjoy and benefit from the experience of preparing for and writing our mathematics contests. Our contests are not tests or exams. There is no passing or failing score. Information regarding the criteria for awarding individual students and schools based on their performance in our mathematics contests is provided below.

Official participants

Any full-time student may write a contest but only participants that qualify as "official" are eligible for inclusion on honour rolls and as part of a school's team score. An official participant* is one who meets the requirements below and has properly completed their Student Response Form:

  • The Fryer Contest may be written by any participant in Grade 9 or below.
  • The Galois Contest may be written by any participant in Grade 10 or below.
  • The Hypatia Contest may be written by any participant in Grade 11 or below.

All other participants that do not meet the criteria are considered unofficial. Unofficial participants will have their papers marked and are still eligible for certificates and medals at the discretion of their school.

Disclaimer   * A participant’s contest may also be considered unofficial if it was received by the CEMC too late to be included in the final results.  

  • Some participants may be taking mathematics courses beyond their grade level. These participants are still eligible to write the contest appropriate to their grade level. For example, a Grade 9 participant may be taking a Grade 10 mathematics course. Such a participant is eligible to write the Fryer Contest.
  • Exceptional participants may elect to write a contest beyond their actual grade level. Participants can only write one of the Fryer, Galois and Hypatia Contests in a given school year.

Individual Awards

  • Every participant scoring in the top 25% of all competitors receives a Certificate of Distinction.
  • Each School Champion receives a Contest Medal, at the discretion of the CEMC.
  • The names of some top-scoring official participants appear in zone, provincial, Canadian and international honour rolls (for regions with at least 30 participants).

Team Awards

A school's team score is the sum of its five highest scoring official participants' scores. Schools have the option of not taking part in the team competition.  For schools inside Canada, rankings and team honour rolls are provided at three levels: zone, provincial, and national (for regions with at least four competing teams). Canadian schools are also eligible for the Canadian Championship Plaque and Zone Championship Certificates at the discretion of the CEMC.  For schools outside Canada, rankings and team honour rolls are provided.  

We also encourage schools and boards to recognize and celebrate the achievements of those participants who excel.

The CEMC reserves the right to disqualify students or withhold the publication of results at its discretion.

Opt-out option:  

Our contests allow participants to opt out of having their names displayed in publicly accessible results booklets if their score is high enough to be listed on an honour roll. Their names will, however, still be published in the school results which we provide securely to the organizing educator. 

Averages and cut-offs

Fryer, Galois and Hypatia Contests 2024

 
20.6 22.8   23.3   
26 29 28
20 22 23
40 40 40
6405 7330 5627

CEMC contest. medals

Contest results

The results booklet for the Fryer, Galois and Hypatia (FGH) Contests includes details of the average score for each question and an honour roll mentioning top performing participants. Educators can access their participants' results and generate certificates after the final results are uploaded in our Contest Supervisor Portal . 

Quizard AI: Homework Helper 4+

Instant math problem solver, quizard ai, inc., designed for iphone.

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  • 4.7 • 31.6K Ratings
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iPhone Screenshots

Description.

Homework & AI Answers Solver. Are you struggling to keep up with your homework and studying? Don't worry, Quizard is here to help! Quizard is a revolutionary AI answer app designed to help students at all levels conquer their studies. Now introducing our new feature - AI answers for math questions! Just snap a photo of your math problem, and Quizard's AI will deliver the solution, along with a comprehensive explanation. This makes Quizard the perfect tool not only for general studies but also for math homework help. Whether you’re a college student, high school student, or even an adult looking to brush up on your knowledge, Quizard is the perfect tool to help you succeed. With Quizard, you can quickly and easily get help with multiple-choice questions and short answer problems. You can quickly and easily prepare for quizzes, tests, and exams, allowing you to confidently ace them. Quizard is free to use! With Quizard, you can get the help you need to understand the material and gain a better understanding of the subject. Quizard is the perfect homework helper and personal tutor, providing you with the answers you need to succeed. With Quizard, you can get help with your homework and studying, so you can get better grades and have more free time. Stop struggling with your homework and start using Quizard today! Fine print: • Payment will be charged to your Apple ID account at the confirmation of purchase. • Offers and pricing are subject to change without notice. Terms of Use: https://lovely-vault-f15.notion.site/Terms-of-Use-18a469738fd74c9bb7c919981de4bbcd Privacy policy: https://lovely-vault-f15.notion.site/Privacy-Policy-4fe9e56db4a04d88af6e1b78f2874a7d Suggestions or questions? Email us at [email protected] TikTok: @quizard.ai Instagram: @quizard.ai

Version 1.9.7

We squashed some pesky bugs

Ratings and Reviews

31.6K Ratings

Trivia Meets Kaleidoscopic Chaos!

Quizzard might just be the hidden gem in the app store, assuming you like your learning served with a heaping spoonful of whimsy and a side of technicolor mayhem. The interface could be described as a unicorn's dream, painted in every hue of the rainbow and then some. It's so cheerfully bright, you'll forget whether you're here to learn or to play a round of digital laser tag. But it’s not all about looks; Quizzard delivers content with a zesty twist that keeps you on your toes. Trivia questions that make your brain do somersaults are the norm here. Ever wanted to decode the molecular structure of caffeine in under a minute or guess Shakespeare's favorite cheese? Quizzard makes such intellectual gymnastics delightful, and you’ll chuckle as much as you'll ponder. Plus, the ads, while frequent, are an adventure in themselves, offering you snippets of the outside world at the most unexpected moments. It’s like getting commercial breaks during your personal game show—annoying but part of the fun. So, strap in for a quiz experience that’s as entertaining as it is enlightening, where every question is a surprise party for your neurons!
GREAT LEARNING TOOL MADE BY A GENIUS DUDE!!! Quizard reads your question and like searches the web for similar information to come up with an answer. Quizard provides a paragraph explanation along with the short answer. READ THOROUGHLY bc it is a computer and sometimes the wording makes it come up with “the wrong (short) answer” even though throughout the (longer paragraph) explanation you can figure out the true answer that Quizard happened to word incorrectly or chose a similar but wrong multiple choice option for. If you’re not trying using it for just the short answer not bothering to read and check the answer and dont read the paragraph then ya.. some of your answers are gonna be wrong. But if it doesn’t give you the right answer it’ll at least provide some explanation to put you on the right path.

DO NOT GET THIS APP!

So, I’m in 4th grade, 4TH GRADE! & IT COULDN’T HELP ME CORRECTLY! So, you know in elementary school papers, & the printer will add these little pictures to the side, well, when i took a picture of this paper, quizard told me that “ I’m sorry, there’s a object in this paper, i cannot tell you the correct answer unless you cover it” ….. IM SORRY! IS A SMALL PICTURE DISTRACTING YOU!? & HOW IS PUTTING SOMETHING OVER IT GOING TO HELP!? Mm!? Well, i cover it, & it is so stupid! It can’t even proofread! It told me that the words that were “incorrect” (by the way, i fact checked it, & the words were correct) & it tells me that the correct answer for gymnasium is “gymnasuim” …i’m sorry, did you just make up a word? WHAT KIND OF AI ARE YOU!? So, i tell it that it’s incorrect, it’s actually “gymnasium” & it tells me, “ I’m sorry for the inconvenience, but can you explain the answer’s to me?” ….. WHY DO YOU THINK I GOT THIS APP!? I mean like, it’s not like I wanted YOU to explain it to me! So, yeah, I'm not going to sit there & waist my time trying to explain a ELEMENTARY SCHOOL PAPER TO AN AI! So, I definitely DON’T recommend this app. ( it’s not even worth 1 star )

App Privacy

The developer, Quizard AI, Inc. , indicated that the app’s privacy practices may include handling of data as described below. For more information, see the developer’s privacy policy .

Data Used to Track You

The following data may be used to track you across apps and websites owned by other companies:

Data Not Linked to You

The following data may be collected but it is not linked to your identity:

  • Identifiers

Privacy practices may vary, for example, based on the features you use or your age. Learn More

Information

  • Unlimited answers weekly $6.99
  • quizard pro - monthly $9.99
  • Quizard Pro Yearly $59.99
  • quizard pro - monthly $19.99
  • Yearly Quizard Pro $39.99
  • Quizard Pro Yearly $89.99
  • Quizard pro 6 months $49.99
  • Quizard pro 6 months $69.99
  • Yearly Quizard Pro $29.99
  • Quizard Pro $39.99
  • App Support
  • Privacy Policy

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  6. Problem Solving Grade 4 2024 March

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COMMENTS

  1. 4th grade word problem worksheets

    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 the context before applying a solution.

  2. 4th Grade Math Problems

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  3. 100 Free 4th Grade Math Worksheets with Answers

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  4. Grade 4 math word problems with answers and explanations

    Math word problems for grade 4 online. We encourage your 4th graders to engage in our Grade 4 math word problems with answers and explanations.This content is created to offer you excellent skills and strategies for solving all 4th-grade word problems.. Before now, your 4th graders have been striving to develop fluency in solving grade 4 math concepts.

  5. 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 ...

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    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.

  7. Multiplication Word Problems 4th Grade

    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 ...

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    Grade 4 Math Questions With Answers. A set of grade 4 math questions on operations on numbers, converting units, algebraic expressions, evaluation of algebraic expressions, problems are presented along with their answers. Questions . The cost of buying a tall building is one hundred twenty one million dollars. Write this number in standard form ...

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    Our fourth grade worksheets library offers over one hundred free pdf 4th grade math worksheets for a variety of math topics including operations, rounding, place value, graphing, factoring, geometry, and word problems. All of the worksheets below were designed by elementary math teachers with fourth grade students in mind.

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    Problem Solving. Problem solving is an essential skill in math, and in everyday life. It involves identifying a problem, analyzing it, and finding a solution. To become a successful problem solver, you need to understand the different strategies and techniques that can be used to approach and solve problems. Steps for Problem Solving:

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    The shaded shape is made of 5 congruent squares. 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.

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    More Word Problems More Grade 4 Math Topics Singapore Math Common Core Math. The following are some examples of 4th Grade Math Word Problems that use mixed operations (addition, subtraction, multiplication and division). These problems are solved with the help of block diagrams or bar models (Singapore Math) or tape diagrams (Common Core). Example:

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    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 ...

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    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.

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    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.

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  20. IXL

    3. Add and subtract fractions with like denominators. 4. Add and subtract fractions with like denominators: word problems. 5. Add and subtract fractions with like denominators in recipes. Learn fourth grade math skills for free! Choose from hundreds of topics including multiplication, division, fractions, angles, and more. Start learning now!

  21. Mixed multiplication and division word problems for grade 4

    Mixed multiplication & division. These grade 4 math worksheets have mixed multiplication and division word problems. All numbers are whole numbers with 1 to 4 digits. Division questions may have remainders which need to be interpreted (e.g. "how many left over"). In the last question of each worksheet, students are asked to write an equation ...

  22. Past Contests, Solutions and Results

    For the Gauss, Pascal, Cayley, and Fermat Contests, the CEMC Problem Set Generator can be used to create sets of past problems with customized topics. Grade All Grade 12 Grade 11 Grade 10 Grade 9 Grade 8 Grade 7 Grade 6 Grade 5 Grade 4 Grade 3

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    Solution. To know how many cards each should take, divide 175 by 4 (Tom, Julia, Mike and Fran). 175 ÷ 4 = 43 with remainder = 3. Each one should take 43 cards and 3 are left. The shaded shape is made of 5 congruent squares. The side of one square is 4 cm. Find the total area of the shaded shape. Solution.

  24. Division Worksheets Grade 4

    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.

  25. Fryer, Galois and Hypatia Contests

    Contest overview . The Fryer, Galois and Hypatia (FGH) Contests are three grade-specific contests that run concurrently by grade level. The FGH Contests provide a unique opportunity for participants to write a full-solution contest — a format that can help learners develop both problem-solving and communication skills.

  26. Quizard AI: Homework Helper 4+

    Don't worry, Quizard is here to help! Quizard is a revolutionary AI answer app designed to help students at all levels conquer their studies. Now introducing our new feature - AI answers for math questions! Just snap a photo of your math problem, and Quizard's AI will deliver the solution, along with a comprehensive explanation.