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Fourth Grade (Grade 4) Problem Solving Strategies Questions

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Grade 4 Problem Solving Strategies
It is summertime and the Polk family wants to fill their pool. They want to do it with as much rain water as they can. All spring, they have been filling rain barrels, each holding 200 gallons of water. How many rain barrels will it take to fill their pool?

What piece of information is missing that would allow you to solve the problem?
  1. How many rain barrels they have.
  2. How much water they will use from the hose.
  3. How many gallons of water they need to fill the pool.
  4. How many gallons of water spilled out of the barrels.
Grade 4 Problem Solving Strategies
Mrs. Carter requires her child to check his homework assignment before giving it to the teacher. After solving the problem, her child checked his homework with the following problem:

7,821 - 4,567 = 3,254

Which could have been the beginning problem?
  1. 4,567 + 4,657 = ?
  2. 3,254 - 4,567 = ?
  3. 7,821 - 4,567 = ?
  4. 3,254 + 4,567 = ?
Grade 4 Problem Solving Strategies
[math]4989+2788[/math]
[math]=(4900+2700)+(89+88)[/math]
[math]=(4900+2700)+(89+88+2-2)[/math]
[math]=(4900+2700)+(89+(88+2)-2)[/math]
[math]=(4900+2700)+(89+[/math]     90     [math]-2)[/math]
[math]=(4900+2700)+([/math]      179      [math]-2)[/math]
[math]=(4900+2700)+([/math]      177      [math])[/math]
[math]=(4900+2700+300-300)+177[/math]
[math]=(4900+(2700+300)-300)+177[/math]
[math]=(4900+[/math]       3000       [math]-300)+177[/math]
[math]=([/math]       7900       [math]-300)+177[/math]
[math]=[/math]       7600       [math]+177[/math]
[math]=[/math]       7777       
Grade 4 Problem Solving Strategies
Rebecca spent 4 hours working on a typing project for the print shop. Her boss agreed to pay her $5 for each of the first 10 pages and $1 for each of the remaining pages. Rebecca typed 18 pages. What information below is NOT needed to calculate the amount Rebecca will be paid?
  1. 4 hours
  2. 18 pages
  3. $5 for each of the first 10 pages
  4. $1 for each remaining page
Grade 4 Problem Solving Strategies
Jodi bought cans of tennis balls that cost $2.50 per can. What else do you need to find out how much money Jodi spent in all?
  1. If she is playing singles or doubles
  2. How many cans of tennis balls bought
  3. Whether she won or lost the match
  4. How many cans of tennis balls the store had
Grade 4 Problem Solving Strategies
How would the inverse operation of addition be used to solve this equation?
P + 62 = 100
  1. 100 - 62 = P
  2. 62 - 100 = P
  3. 100 + 62 = P
  4. P - 100 = 162
Grade 4 Problem Solving Strategies
What is the first number greater than 2007, such that the sum of the digits is the same for both numbers?
  1. 2,016
  2. 2,015
  3. 2,014
Grade 4 Problem Solving Strategies
Read the word problem:
Easter - Bunny 2 - Small
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?

What is the extra information?
  1. The Easter bunny delivers 8 eggs to the Martin family.
  2. There are 4 people in the Davolio family.
  3. 6 eggs are delivered to the Burke family.
  4. How many total eggs do the Martin and Burke families receive?
Grade 4 Problem Solving Strategies
A student had the following question on a test: Devon took 2 boxes of donuts to school. At the end of the day one box was empty. The other box had 4 left in it. How many donuts did Devon get to take home? Which method below CANNOT be used to answer the question correctly?
  1. 0 + 4 =
  2. 1 + 4 =
  3. 4 + 0 =
  4. Draw 4 tallies on one side. Draw 0 tallies on the other. Add.
Grade 4 Problem Solving Strategies
A student had this question on a test: Donny brought 1 cupcake for each of his classmates on his birthday. He had 36 classmates. How many cupcakes did he need to bring? Which of the following methods would NOT lead to the correct answer?
  1. 36 x 1 =
  2. 1 x 36 =
  3. 36 + 1 =
  4. Write down 36 tallies and count them.
Grade 4 Problem Solving Strategies
Joshua's favorite math skill is adding numbers. He found the sum of 8,259 and 2,175 to be 10,434.
Which operation could Joshua use to check his sum?
  1. 2,175 + 8,259 = 10,434
  2. 8,259 - 2,175 = 6,084
  3. 10,434 - 2,175 = 8,259
  4. 8,000 + 2,000 = 10,000
Grade 4 Problem Solving Strategies
Marvin solved the equation below:
14 + 25 = 39
Which of these equations could be used to check Marvin's answer?
  1. 25 + 39 = 65
  2. 14 + 39 = 53
  3. 64 - 25 = 39
  4. 39 - 14 = 25
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.
Web
Grade 4 Problem Solving Strategies
Jaylen was building a wall that had 9 rows of bricks. He had 513 bricks in all. To find how many bricks would be in each row, he divided 513 by 9 and got a quotient of 57. Which expression could be used to check Jaylen's answer?
  1. 57 x 9
  2. 57 / 9
  3. 57 + 9
  4. 57 - 9
Grade 4 Problem Solving Strategies
At the Zoo, Julie saw 18 penguins. She saw 8 Adelie penguins. The rest of the penguins she saw were Rockhopper penguins. She learned that Rockhopper penguins grow to be about 5 to 8 pounds. How many Rockhopper penguins did Julie see?
Grade 4 Problem Solving Strategies
The bike trail around Frontier Park is 8 miles long. This month, Ed rode around the trail 18 times. To find 18 x 8, Ed used compatible numbers and multiplied 20 x 8 = 160. What should Ed do next?
  1. 160 - 8 = 152
  2. 160 + 8 = 168
  3. 160 + 16 = 176
  4. 160 - 16 = 144
Grade 4 Problem Solving Strategies
John, Amy, Grant, and Mable were comparing their favorite Thanksgiving foods. Each person's favorite food was a different type - apples, turkey, apple cider, or pumpkin pie. Use the clues below to find who likes which food the most. Write YES or NO on the chart to help solve the puzzle.

CLUE #1 - Mable does not like any type of food made with apples.

CLUE #2 - Grant's favorite food is a type of drink.

CLUE #3 - Neither girl picked pumpkin pie as her favorite food.

Favorite Food [math]diamond[/math] John [math]diamond[/math] Amy [math]diamond[/math] Grant [math]diamond[/math] Mable
Fall - Apple - Small
Thanksgiving - Turkey - Small
Fall - Hot Cider - Small
Thanksgiving - Pumkin Pie - Small

What is John's favorite Thanksgiving food?
What is Amy's favorite Thanksgiving food?
What is Grant's favorite Thanksgiving food?
What is Mable's favorite Thanksgiving food?
Grade 4 Problem Solving Strategies
Decide if the problem has extra information or not enough information. Tell any information that is not needed or that is missing:

Kayla ate 2 tacos and an apple for lunch. The tacos had 260 calories. How many calories did Kayla eat for lunch?
Grade 4 Problem Solving Strategies
Tom, Sam, and Ken each ran today. Tom ran 3.3 miles, Sam ran 4.6 miles, and Ken ran 2.3 miles. Write a statement that describes this data.
Grade 4 Problem Solving Strategies
Helen is part of a 32-player one-on-one basketball tournament. As soon as a player loses, she is out of the tournament. The winners will continue to play until there is one champion. How many games are there in all in this tournament?
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