This page shows questions in the Math 6 Year 1 public release module at MSDE. 6th Grade Math
"Math 6 Year 1"
Select from the list to explore. Read any associated passages and then interact with the questions here.
This is a multiple choice question that allows you to select only one option.
The ratio of bleach to water in a cleaning solution is 2:18. For every 1 liter of bleach, how many liters of water are in the solution?
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This is a multiple choice question that allows you to select only one option.
The graph shows the location of point A.
Point B has the same x-coordinate as point A. The y-coordinate of point B has the same absolute value but the opposite sign of the y-coordinate of point A. Which ordered pair represents point B?
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This is a multiple choice question that allows you to select several options.
Which equations are true? Select all that apply.
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This is a multiple choice question that allows you to select several options.
Which expressions are equivalent to six h plus 5 open parenthesis x plus h close parenthesis?
Select each correct answer
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This is a multiple choice question that allows you to select only one option.
A right rectangular prism is made with 8 small cubes. Each cube has an edge length of one fifth inch.
What is the volume, in cubic inches, of the prism?
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This is a question with 2 parts, including a question with drop-down menus from which you must select an option to fill in the blank.
Students separated all the students in their class into two groups, Group A and Group B. Then they conducted an experiment using these steps.
- Step 1: They measured the number of seconds each student took to count forward from 0 to 100.
- Step 2: They measured the number of seconds each student took to count backward from 100 to 0.
- Step 3: They calculated the difference, in seconds, between counting forward and counting backward for each student.
The two histograms show the differences, in seconds, for Group A and for Group B.
Which phrases make each sentence true?
Select from the drop-down menus to correctly complete each sentence.
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This is a multiple choice question that allows you to select only one option.
A contractor had $3,285 to spend for doors and hammers. Doors cost $75 each. He bought the greatest number of doors that he could buy. He will use the money he has remaining to buy hammers that cost $15 each.
What is the greatest number of hammers the contractor can buy with the money he has remaining?
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This is a multiple choice question that allows you to select only one option.
The lengths, in minutes, of the 14 movies currently showing at a movie theater are shown in the data set.
| 89 | 98 | 109 | 123 | 123 | 125 | 125 |
| 128 | 130 | 135 | 137 | 140 | 143 | 143 |
Which histogram correctly represents this data?
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This is a test question that allows you to enter extended text in your response.
A business owner buys lunch for employees once every month. The owner has bought lunch for 18 employees for the last three months and the total costs are shown.
First month: $147.98
Second month: $152.17
Third month: $165.63
- Write an equation that can be used to estimate y, the average monthly cost, in dollars, to buy lunch for x employees.
- Use your equation to estimate the total cost of a monthly lunch for 26 employees. Show your work or explain your response.
Enter your answer, your equation, and your work or explanation in the space provided.
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This is a question with 4 parts, including a drag and drop question that allows you to select text and place it in an appropriate answer space, and, a fill in the blank question that allows you to enter only numbers.
The table shows information about the time worked and pay earned by 4 employees at a company. Each employee earned a different amount of pay per hour.
| Time Worked and Pay Earned by Employees | |||
| Employee | Number of Weeks Worked | Total Number of Hours Worked | Total Pay Earned |
|---|---|---|---|
| Employee F | 4 | 60 | $645 |
| Employee G | 5 | 100 | $1,025 |
| Employee H | 2 | 32 | $336 |
| Employee J | 3 | 75 | $825 |
Part A
Use this information to put the employees in order from the employee who earned the least pay per hour to the employee who earned the greatest pay per hour.
Drag and drop each name into the correct box.
| Least | → | → | Greatest |
|---|---|---|---|
Part B
Employee J worked the same number of hours each week. Determine the amount of pay, in dollars, employee J earned each week.
Enter your answer in the box.
$
Part C
Employee G worked the same number of hours each week. Use this rate to determine the number of hours employee G would work in 9 weeks.
Enter your answer in the box.
hours
Part D
Employee H worked the same number of hours each week. Use this rate to determine the total amount of pay, in dollars, that employee H will earn for working 5 weeks.
Enter your answer in the box.
$
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This is a question with 2 parts, including a test question that allows you to enter extended text in your response.
Part A
Write the opposite of negative four and one half and explain how it is related to negative four and one half.
Use the number line as a reference in your explanation.
Enter your answer and your explanation in the space provided.
Part B
Use the number line to think about the location of the number 2 and a number n, where n is greater than 3. Write an inequality comparing the opposite of 2 and the opposite of n.
Explain how the number line shows that your inequality is correct.
Enter your inequality and your explanation in the space provided.
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This is a multiple choice question that allows you to select only one option.
| Foam Boards | |
| Number Purchased | Cost |
|---|---|
| 1 | |
| 3 | $21 |
| $28 | |
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This is a test question that allows you to enter extended text in your response.
- Expression 1: five open parenthesis 2 x plus 3 y close parenthesis
- Expression 2: 3 x plus 6 y plus x plus 3 open parenthesis 2 x plus 3 y close parenthesis
Are the expressions shown equivalent?
Show or explain all of the steps you used to determine your answer. Use properties of operations to justify each step.
Enter your answer and your work or explanation in the space provided.
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This is a question with 2 parts, including a test question that allows you to enter extended text in your response, and, a fill in the blank question that allows you to enter only numbers.
The total cost of 3 games is $38.97. Each game costs the same amount.
Write an equation that can be used to determine n, the cost of 1 game.
What is the cost, in dollars, of 1 game? Enter your answer in the space provided. Enter only your answer.
Cost: $
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This is a question with 2 parts, including a test question that allows you to enter extended text in your response.
Darren has a fish tank with the dimensions shown. He plans to purchase goldfish for his fish tank.
Part A
- Determine the dimensions, in inches, of the fish tank.
- Then find the volume, in cubic inches, of the fish tank.
- Show your work or explain your answers.
Part B
Darren researches information about goldfish. He finds the information shown.
- Determine the number of gallons that the fish tank can hold.
- Then determine the maximum number of goldfish that Darren can put in the fish tank.
- Show your work or explain your answers.
Enter your answers and your work or explanations in the space provided.
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This is a question with 2 parts, including a multiple choice question that allows you to select only one option.
The box plot summarizes the lengths of twelve fish caught in a lake.
Part A
Which statement about the mean and median lengths of the fish caught in the lake is true?
Part B
Which statement is true about the mean absolute deviation and interquartile range of the data on the box plot?
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This is a question with 2 parts, including a multiple choice question that allows you to select several options, and, a fill in the blank question that allows you to enter only numbers.
A figure is shown with the given dimensions.
What is the area, in square feet, of the figure?
Enter your answer in the box.
square feet
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This is test content.
Plot a point on the number line to show the opposite of 2.5.
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