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Problem Solving Strategies Questions - All Grades

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Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.2

Michelle is a police officer, and is attempting to model the crime patterns in a certain neighborhood. She wants to know when crimes are usually committed and which types of criminal activity are most common. She hopes to use this to predict better how to police this neighborhood. Which of the following quantities would be important to include in this model? Choose all that apply.

Number of calls placed to 9-1-1 from this neighborhood.
When calls to 9-1-1 are placed from this neighborhood.
Names of people arrested in this neighborhood.
Criminal history of people arrested in this neighborhood.

Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.2

Angela sells baked goods at a summer market each year. The two main baked goods are apple turnovers and chocolate caramel cupcakes. Unfortunately, she does not keep very good records, and cannot remember exactly what price she sold each for last year. She remembers that one day she sold 50 cupcakes and 30 turnovers, and made about $135. Another day, she sold 40 cupcakes and 40 turnovers, and made $140. If she were to create a model to solve for how much she sold each baked good for, what would be a good variable(s) to create?

Just one variable, the average cost of a baked good.
Two variables, one for the cost to make the baked goods, and another for the total revenue of the baked goods.
Two variables, one for the total number of turnovers sold, and another for the total number of cupcakes sold.
Two variables, one for the cost of a turnover, and one for the cost of a cupcake.

Grade 6 Problem Solving Strategies

A(n) Venn diagram uses circles to show how elements among sets of numbers or objects are related.

Grade 7 Problem Solving Strategies

Five students scored a total of of 40 on their quizzes.
Sammy- 7 Maria- 6 Joe- 8 Brook- 9 Billy- ?

What was Billy's quiz score?

Grade 6 Problem Solving Strategies CCSS: 6.RP.A.3, MP1, MP7

Riley babysits for Marcus and she also babysits for Kelly. The table shows the number of hours Riley babysat for Marcus over a period of three months.

Babysitting Marcus
Month	Hours
April	4
May	6
June	9

$*$ Riley expects the number of hours she will babysit Marcus to continue to increase in July.

$*$ Riley also expects that the ratio of the hours she babysits for Marcus to the hours she babysits for Kelly to be about

$2:1$ .

$*$ Riley earns an average babysitting fee of $6.00 per hour when babysitting for Marcus or Kelly.

Estimate Riley's total earnings, in dollars, for babysitting in July. Show all your work. Explain how you determined your estimate.

Enter your estimate, your work, and your explanation in the space provided.

Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.2

Hannah wants to buy an indoor plant for her apartment. Which of the following factors would be important to investigate in order to determine which plant would be appropriate to buy? Choose all that apply.

Amount of sunlight the plant will get.
The size of the apartment.
Whether she will put the plant on the floor or on a table.
Average temperature of her apartment.

Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.2

Kent wants to grow some tomato plants in his back yard so that he is able to can them for the winter. He is hoping to have about 9 quarts of canned tomatoes. He knows that about every 3 pounds of fresh tomatoes yields one quart of canned tomatoes. What quantities would be useful for finding the number of tomato plants Kent needs to plant?

The average number of tomatoes a tomato plant produces.
The average weight of tomatoes a tomato plant produces.
How long it takes to can one pound of tomatoes.
The average weight of one can of tomatoes.

Grade 5 Problem Solving Strategies

Braxton and Luis found a check that belonged to Mrs. Quarles. The check was in the amount of $2,546.31. The decided that the wanted to pull a prank on Mrs. Quarles and switch around the numbers on her check. They did not have a lot of time, so they were only allowed to switch two numbers with each other.

In order to give Mrs. Quarles the least amount of money possible with switching the places of two numbers, which two numbers should they swap?

What is the new amount of Mrs. Quarles check?

Grade 7 Problem Solving Strategies

Estimate means to approximate an answer.

Grade 6 Problem Solving Strategies

Kaz found a clue to a secret number that was the second number in the combination to a safe. The clue said:

If you divide the secret number by 5, then add 2 you get 8.

What is the secret number? (Write the equation and show your work)

Grade 3 Problem Solving Strategies

An algorithm is .

an addend
an equation
a story

Grade 8 Problem Solving Strategies

Two angles in a triangle are in a ratio of 2:3. Their sum is 100°. What are the measures of these angles?

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?

0 + 4 =
1 + 4 =
4 + 0 =
Draw 4 tallies on one side. Draw 0 tallies on the other. Add.

Grade 8 Problem Solving Strategies

Which of the following are necessary steps to solving an open-ended math question?

Figure out what question you are being asked.
Determine the facts needed to solve the problem.
Pick a strategy to solve the problem.
Add up all the numbers to solve the problem.

Grade 8 Problem Solving Strategies

Write the math problem in the box and solve, being sure to show your work. On the lines provided below, describe the steps you used to solve the problem.

Writing box and lines

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 6 Problem Solving Strategies

Kaz found a clue to a secret number that was the third number in the combination to a safe. The clue said:

If you multiply the secret number by 2, the divide that result by 5, then add 5 to THAT result, the answer is 11.

What is the secret number? (Write the equation, do not forget to show the order of operations, and show your work.)

Grade 5 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 6 Problem Solving Strategies

Samya is 12, Freddie is 8, and Monica is 3 times younger than Samya, and George is 2 times older than Monica. How old are Monica and George?

Grade 7 Problem Solving Strategies

Trina downloaded songs from the internet at a rate of $1.20 per song. Trina downloaded two songs on Friday and three songs on Sunday. Write two equivalent equations to show Trina's total cost to download the songs.

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