2023: NY Grade 7 - Math - Sara Cowley | Library

Instructions

From the New York State Education Department. New York State Testing Program Grade 7 Mathematics Test. Internet. Available from https://www.nysedregents.org/ei/math/2023/2023-released-items-math-g7.pdf on State Education Department Website; accessed 14, June, 2024.

1

What is the value of the expression (-\frac{1}{3})\div(\frac{2}{5})?

1

Maria and two friends are at a movie theater. They have $52.00 and spend $34.50 of it on movie tickets. They also buy 3 drinks that each cost the same amount. After buying the movie tickets and drinks, they have $4.00 remaining. How much did each drink cost?

1

Megan reads the same number of pages in a book each day. The table shown represents the total number of pages read at the end of the given number of days.

How many pages does Megan read in 1 day?

1

Which expression is equivalent to the one shown below?

-1.5 + \frac{2}{5} + (-7) + 2.6?

1

Joel has three buckets which contain different amounts of liquid. The amount of liquid in each bucket is listed below.
7\frac{1}{2} liters
5\frac{3}{4} liters
6\frac{3}{4} liters
Joel mixes all the liquid together. Then he pours all the liquid equally into 5 containers. How many liters of liquid does Joel pour into each container?

1

A student’s science scores are shown below:
76, 82, 65, 82, 93, 63, 45, 82, 90, 74
What is the mode and how does it compare to the median?

1

The design of an office parking lot is shown. The distance between each parking space is x feet.

What is the distance, x, between each parking space in the parking lot?

1

A student has a bus pass with a balance of $30.00. Each time the student rides the bus, the balance on the bus pass decreases by $2.25. What is the greatest number of bus rides the student can take using the bus pass?

1

A store sells blue hats and green hats. Each hat is priced at $8.00. The expression 8b+8g can be used to determine the total price when a customer buys any number of blue hats, b, and any number of green hats, g. Which equivalent expression could also be used to determine the total price, in dollars, of the hats?

1

A store manager collects information about the number of people who visit his store each week. The information, collected over a 3-week period, is listed below.
The number of people that visited the store in week 1 was 3,200.
The number of people that visited the store in week 2 was 10% more than week 1.
The number of people that visited the store in week 3 was 15% more than week 2.
How many people visited the store in week 3?

1

A bicyclist travels 6\frac{1}{2} miles in \frac{2}{3} hour. What is the average speed, in miles per hour, of the bicyclist?

1

At a deli, customers buying a sandwich can choose one type of bread, one type of meat, and one type of cheese. The options for each sandwich are listed below:
bread: white or wheat
meat: turkey or beef
cheese: American, Swiss, or cheddar
Assuming each choice is equally likely, what is the probability a customer will choose a sandwich with white bread, turkey, and Swiss cheese?

1

Frank is riding in a taxi to get to work. The cost of riding in a taxi includes a one-time fee of $2.75, and $2.60 per mile. If Frank rides in a taxi for 4 miles and pays a $2.00 tip, how much money will he have left over if he pays with a $20.00 bill?

1

The sum of two numbers is zero. If one of the numbers is 5, what is the other number?

1

Ms. Jacobs has $15.00 to spend on coffee and donuts. She buys 1 coffee for $2.59. The cost of each donut is $1.09. Which inequality could be used to determine the greatest number of donuts, d, that Ms. Jacobs can buy?

1

Maggie owns a dog grooming business. The prices for two services are listed below:
$31.50 for a dog wash
$17.00 for a nail trim
A customer receives an 18% discount when paying for both a dog wash and a nail trim.
What is the total price the customer will pay for a dog wash and a nail trim with the discount?

1

The table shows a proportional relationship between the cups of flour, x, and the number of cookies, y, for a given recipe. 

Based on this relationship, how many cookies can be made per cup of flour?

Answer: _______ cookies

1

Kasey and Andrew each went for a walk, once a day, for 4 days. 
Kasey walked \frac{3}{4} mile each day.
Andrew walked \frac{3}{5} mile each day. 
At the end of 4 days, how much farther, in miles, had Kasey walked than Andrew?

Answer: _______ miles

1

Write the expression \frac{1}{2}(18y-2y+10) as the sum of two unlike terms.

Answer: _______ 

2

A student programs a robot to travel at a constant speed across the classroom floor. The table shown represents the relationship between the distance, in feet, the robot travels over a period of time, in seconds. 

Write an equation to represent the distance, d, in feet, the robot travels in t seconds. Using the equation, how many seconds will it take for the robot to travel 11 feet? 

Show your work.

Answer: _______ seconds

2

Diane is planning a party at a trampoline park. It will cost $55.00 to rent the park, plus an additional $8.00 per guest. She wants to spend less than $100.00 on the party. Write and solve an inequality to determine the maximum number of guests, g, that can be invited when spending less than a total of $100.00.

Show your work.

Answer: _______ guests

2

A student tosses a fair coin with heads (H) on one side and tails (T) on the other, and rolls a fair number cube with faces numbered 1 through 6. How many different outcomes are possible? Be sure to provide the sample space for all possible combinations to support your answer.

Explain your answer.

2

A scale drawing of the floor of a rectangular-shaped classroom is shown in the diagram. The drawing has a scale of 1 inch to 14 feet. 

What is the area, in square feet, of the actual classroom?

Show your work.

Answer: _______ square feet

2

A scuba diver dives 24 feet below the water’s surface. The diver then rises 10 feet, stops, and then dives downward another 18 feet. How far, in feet, does the diver need to rise upward to reach the water’s surface?

Explain how you determined your answer.

2

A family of 2 adults and 2 children went to a fair. The costs of admission and rides are listed below: 
$11.00 for admission for each adult
$5.00 for admission for each child
$1.25 per ride 
The family spent a total of $52.00 on admission and rides. How many rides did the family pay for? 

Show your work. 

Answer: _______ rides

3

Airline A and Airline B offer travel discounts to the same destination. The original ticket prices and discounts are described below:
Airline A: a discount of 25% off the original ticket price of $150.
Airline B: a discount of \frac{1}{3} off the original ticket price of $180.
Which airline offers the least expensive ticket? Be sure to include the discounted ticket price for each airline in your answer.

Explain how you determined your answer.

2023: NY Grade 7 - Math

2023: NY Grade 7 - Math

What is the value of the expression (-\frac{1}{3})\div(\frac{2}{5})?

Maria and two friends are at a movie theater. They have $52.00 and spend $34.50 of it on movie tickets. They also buy 3 drinks that each cost the same amount. After buying the movie tickets and drinks, they have $4.00 remaining. How much did each drink cost?

Megan reads the same number of pages in a book each day. The table shown represents the total number of pages read at the end of the given number of days.

How many pages does Megan read in 1 day?

Which expression is equivalent to the one shown below?

-1.5 + \frac{2}{5} + (-7) + 2.6?

A student’s science scores are shown below:
76, 82, 65, 82, 93, 63, 45, 82, 90, 74
What is the mode and how does it compare to the median?

The design of an office parking lot is shown. The distance between each parking space is x feet.

What is the distance, x, between each parking space in the parking lot?

A student has a bus pass with a balance of $30.00. Each time the student rides the bus, the balance on the bus pass decreases by $2.25. What is the greatest number of bus rides the student can take using the bus pass?

A bicyclist travels 6\frac{1}{2} miles in \frac{2}{3} hour. What is the average speed, in miles per hour, of the bicyclist?

Frank is riding in a taxi to get to work. The cost of riding in a taxi includes a one-time fee of $2.75, and $2.60 per mile. If Frank rides in a taxi for 4 miles and pays a $2.00 tip, how much money will he have left over if he pays with a $20.00 bill?

The sum of two numbers is zero. If one of the numbers is 5, what is the other number?

Ms. Jacobs has $15.00 to spend on coffee and donuts. She buys 1 coffee for $2.59. The cost of each donut is $1.09. Which inequality could be used to determine the greatest number of donuts, d, that Ms. Jacobs can buy?

A student tosses a fair coin with heads (H) on one side and tails (T) on the other, and rolls a fair number cube with faces numbered 1 through 6. How many different outcomes are possible? Be sure to provide the sample space for all possible combinations to support your answer.

Explain your answer.

A scuba diver dives 24 feet below the water’s surface. The diver then rises 10 feet, stops, and then dives downward another 18 feet. How far, in feet, does the diver need to rise upward to reach the water’s surface?

Explain how you determined your answer.

What is the value of the expression (-\frac{1}{3})\div(\frac{2}{5})?

Maria and two friends are at a movie theater. They have $52.00 and spend $34.50 of it on movie tickets. They also buy 3 drinks that each cost the same amount. After buying the movie tickets and drinks, they have $4.00 remaining. How much did each drink cost?

Megan reads the same number of pages in a book each day. The table shown represents the total number of pages read at the end of the given number of days.

How many pages does Megan read in 1 day?

Which expression is equivalent to the one shown below?

-1.5 + \frac{2}{5} + (-7) + 2.6?

A student’s science scores are shown below:
76, 82, 65, 82, 93, 63, 45, 82, 90, 74
What is the mode and how does it compare to the median?

The table shows the amount of money, in dollars, that Kathy earns babysitting for a given number of hours worked.

Based on the table, which statement is true about the relationship between the number of hours, h, she works and the amount of money, d, she earns?

The math test scores for Class A and Class B are represented in the box plots shown.

Which statement about the relationship between the scores of the two classes is true?

The design of an office parking lot is shown. The distance between each parking space is x feet.

What is the distance, x, between each parking space in the parking lot?

A student has a bus pass with a balance of $30.00. Each time the student rides the bus, the balance on the bus pass decreases by $2.25. What is the greatest number of bus rides the student can take using the bus pass?

Joseph has a part-time job. The graph represents the amount Joseph earns, in dollars, for the number of hours he works.

Based on the graph, which equation can be used to determine the earnings, in dollars, for every hour Joseph works?

The line plot shown represents the number of hits by some players at a baseball tournament.

How many players are represented by the data on the line plot?

The bill for a dinner at a restaurant is $58.20, before sales tax and tip. Sales tax is 5% of the dinner bill. Tip is 20% of the dinner bill. How much is the total bill including tax and tip?

A bicyclist travels 6\frac{1}{2} miles in \frac{2}{3} hour. What is the average speed, in miles per hour, of the bicyclist?

Frank is riding in a taxi to get to work. The cost of riding in a taxi includes a one-time fee of $2.75, and $2.60 per mile. If Frank rides in a taxi for 4 miles and pays a $2.00 tip, how much money will he have left over if he pays with a $20.00 bill?

The sum of two numbers is zero. If one of the numbers is 5, what is the other number?

Ms. Jacobs has $15.00 to spend on coffee and donuts. She buys 1 coffee for $2.59. The cost of each donut is $1.09. Which inequality could be used to determine the greatest number of donuts, d, that Ms. Jacobs can buy?

A student tosses a fair coin with heads (H) on one side and tails (T) on the other, and rolls a fair number cube with faces numbered 1 through 6. How many different outcomes are possible? Be sure to provide the sample space for all possible combinations to support your answer.

Explain your answer.

A scuba diver dives 24 feet below the water’s surface. The diver then rises 10 feet, stops, and then dives downward another 18 feet. How far, in feet, does the diver need to rise upward to reach the water’s surface?

Explain how you determined your answer.

The table shows the amount of money, in dollars, that Kathy earns babysitting for a given number of hours worked.

Based on the table, which statement is true about the relationship between the number of hours, h, she works and the amount of money, d, she earns?

The math test scores for Class A and Class B are represented in the box plots shown.

Which statement about the relationship between the scores of the two classes is true?

Joseph has a part-time job. The graph represents the amount Joseph earns, in dollars, for the number of hours he works.

Based on the graph, which equation can be used to determine the earnings, in dollars, for every hour Joseph works?

The line plot shown represents the number of hits by some players at a baseball tournament.

How many players are represented by the data on the line plot?

The bill for a dinner at a restaurant is $58.20, before sales tax and tip. Sales tax is 5% of the dinner bill. Tip is 20% of the dinner bill. How much is the total bill including tax and tip?

2023: NY Grade 7 - Math

2023: NY Grade 7 - Math

What is the value of the expression (-\frac{1}{3})\div(\frac{2}{5})?

Maria and two friends are at a movie theater. They have $52.00 and spend $34.50 of it on movie tickets. They also buy 3 drinks that each cost the same amount. After buying the movie tickets and drinks, they have $4.00 remaining. How much did each drink cost?

Megan reads the same number of pages in a book each day. The table shown represents the total number of pages read at the end of the given number of days. How many pages does Megan read in 1 day?

Which expression is equivalent to the one shown below?-1.5 + \frac{2}{5} + (-7) + 2.6?

A student’s science scores are shown below: 76, 82, 65, 82, 93, 63, 45, 82, 90, 74 What is the mode and how does it compare to the median?

The design of an office parking lot is shown. The distance between each parking space is x feet.What is the distance, x, between each parking space in the parking lot?

A student has a bus pass with a balance of $30.00. Each time the student rides the bus, the balance on the bus pass decreases by $2.25. What is the greatest number of bus rides the student can take using the bus pass?

A bicyclist travels 6\frac{1}{2} miles in \frac{2}{3} hour. What is the average speed, in miles per hour, of the bicyclist?

Frank is riding in a taxi to get to work. The cost of riding in a taxi includes a one-time fee of $2.75, and $2.60 per mile. If Frank rides in a taxi for 4 miles and pays a $2.00 tip, how much money will he have left over if he pays with a $20.00 bill?

The sum of two numbers is zero. If one of the numbers is 5, what is the other number?

Ms. Jacobs has $15.00 to spend on coffee and donuts. She buys 1 coffee for $2.59. The cost of each donut is $1.09. Which inequality could be used to determine the greatest number of donuts, d, that Ms. Jacobs can buy?

A student tosses a fair coin with heads (H) on one side and tails (T) on the other, and rolls a fair number cube with faces numbered 1 through 6. How many different outcomes are possible? Be sure to provide the sample space for all possible combinations to support your answer.Explain your answer.

A scuba diver dives 24 feet below the water’s surface. The diver then rises 10 feet, stops, and then dives downward another 18 feet. How far, in feet, does the diver need to rise upward to reach the water’s surface?Explain how you determined your answer.

What is the value of the expression (-\frac{1}{3})\div(\frac{2}{5})?

Maria and two friends are at a movie theater. They have $52.00 and spend $34.50 of it on movie tickets. They also buy 3 drinks that each cost the same amount. After buying the movie tickets and drinks, they have $4.00 remaining. How much did each drink cost?

Megan reads the same number of pages in a book each day. The table shown represents the total number of pages read at the end of the given number of days. How many pages does Megan read in 1 day?

Which expression is equivalent to the one shown below?-1.5 + \frac{2}{5} + (-7) + 2.6?

A student’s science scores are shown below: 76, 82, 65, 82, 93, 63, 45, 82, 90, 74 What is the mode and how does it compare to the median?

The table shows the amount of money, in dollars, that Kathy earns babysitting for a given number of hours worked. Based on the table, which statement is true about the relationship between the number of hours, h, she works and the amount of money, d, she earns?

The math test scores for Class A and Class B are represented in the box plots shown. Which statement about the relationship between the scores of the two classes is true?

The design of an office parking lot is shown. The distance between each parking space is x feet.What is the distance, x, between each parking space in the parking lot?

A student has a bus pass with a balance of $30.00. Each time the student rides the bus, the balance on the bus pass decreases by $2.25. What is the greatest number of bus rides the student can take using the bus pass?

Joseph has a part-time job. The graph represents the amount Joseph earns, in dollars, for the number of hours he works.Based on the graph, which equation can be used to determine the earnings, in dollars, for every hour Joseph works?

The line plot shown represents the number of hits by some players at a baseball tournament. How many players are represented by the data on the line plot?

The bill for a dinner at a restaurant is $58.20, before sales tax and tip. Sales tax is 5% of the dinner bill. Tip is 20% of the dinner bill. How much is the total bill including tax and tip?

A bicyclist travels 6\frac{1}{2} miles in \frac{2}{3} hour. What is the average speed, in miles per hour, of the bicyclist?

Frank is riding in a taxi to get to work. The cost of riding in a taxi includes a one-time fee of $2.75, and $2.60 per mile. If Frank rides in a taxi for 4 miles and pays a $2.00 tip, how much money will he have left over if he pays with a $20.00 bill?

The sum of two numbers is zero. If one of the numbers is 5, what is the other number?

Ms. Jacobs has $15.00 to spend on coffee and donuts. She buys 1 coffee for $2.59. The cost of each donut is $1.09. Which inequality could be used to determine the greatest number of donuts, d, that Ms. Jacobs can buy?

A student tosses a fair coin with heads (H) on one side and tails (T) on the other, and rolls a fair number cube with faces numbered 1 through 6. How many different outcomes are possible? Be sure to provide the sample space for all possible combinations to support your answer.Explain your answer.

A scuba diver dives 24 feet below the water’s surface. The diver then rises 10 feet, stops, and then dives downward another 18 feet. How far, in feet, does the diver need to rise upward to reach the water’s surface?Explain how you determined your answer.

The table shows the amount of money, in dollars, that Kathy earns babysitting for a given number of hours worked. Based on the table, which statement is true about the relationship between the number of hours, h, she works and the amount of money, d, she earns?

The math test scores for Class A and Class B are represented in the box plots shown. Which statement about the relationship between the scores of the two classes is true?

Joseph has a part-time job. The graph represents the amount Joseph earns, in dollars, for the number of hours he works.Based on the graph, which equation can be used to determine the earnings, in dollars, for every hour Joseph works?

The line plot shown represents the number of hits by some players at a baseball tournament. How many players are represented by the data on the line plot?

The bill for a dinner at a restaurant is $58.20, before sales tax and tip. Sales tax is 5% of the dinner bill. Tip is 20% of the dinner bill. How much is the total bill including tax and tip?

Megan reads the same number of pages in a book each day. The table shown represents the total number of pages read at the end of the given number of days.

How many pages does Megan read in 1 day?

Which expression is equivalent to the one shown below?

-1.5 + \frac{2}{5} + (-7) + 2.6?

A student’s science scores are shown below:
76, 82, 65, 82, 93, 63, 45, 82, 90, 74
What is the mode and how does it compare to the median?

The design of an office parking lot is shown. The distance between each parking space is x feet.

What is the distance, x, between each parking space in the parking lot?

A student tosses a fair coin with heads (H) on one side and tails (T) on the other, and rolls a fair number cube with faces numbered 1 through 6. How many different outcomes are possible? Be sure to provide the sample space for all possible combinations to support your answer.

Explain your answer.

A scuba diver dives 24 feet below the water’s surface. The diver then rises 10 feet, stops, and then dives downward another 18 feet. How far, in feet, does the diver need to rise upward to reach the water’s surface?

Explain how you determined your answer.

Megan reads the same number of pages in a book each day. The table shown represents the total number of pages read at the end of the given number of days.

How many pages does Megan read in 1 day?

Which expression is equivalent to the one shown below?

-1.5 + \frac{2}{5} + (-7) + 2.6?

A student’s science scores are shown below:
76, 82, 65, 82, 93, 63, 45, 82, 90, 74
What is the mode and how does it compare to the median?

The table shows the amount of money, in dollars, that Kathy earns babysitting for a given number of hours worked.

Based on the table, which statement is true about the relationship between the number of hours, h, she works and the amount of money, d, she earns?

The math test scores for Class A and Class B are represented in the box plots shown.

Which statement about the relationship between the scores of the two classes is true?

The design of an office parking lot is shown. The distance between each parking space is x feet.

What is the distance, x, between each parking space in the parking lot?

Joseph has a part-time job. The graph represents the amount Joseph earns, in dollars, for the number of hours he works.

Based on the graph, which equation can be used to determine the earnings, in dollars, for every hour Joseph works?

The line plot shown represents the number of hits by some players at a baseball tournament.

How many players are represented by the data on the line plot?

A student tosses a fair coin with heads (H) on one side and tails (T) on the other, and rolls a fair number cube with faces numbered 1 through 6. How many different outcomes are possible? Be sure to provide the sample space for all possible combinations to support your answer.

Explain your answer.

A scuba diver dives 24 feet below the water’s surface. The diver then rises 10 feet, stops, and then dives downward another 18 feet. How far, in feet, does the diver need to rise upward to reach the water’s surface?

Explain how you determined your answer.

The table shows the amount of money, in dollars, that Kathy earns babysitting for a given number of hours worked.

Based on the table, which statement is true about the relationship between the number of hours, h, she works and the amount of money, d, she earns?

The math test scores for Class A and Class B are represented in the box plots shown.

Which statement about the relationship between the scores of the two classes is true?

Joseph has a part-time job. The graph represents the amount Joseph earns, in dollars, for the number of hours he works.

Based on the graph, which equation can be used to determine the earnings, in dollars, for every hour Joseph works?

The line plot shown represents the number of hits by some players at a baseball tournament.

How many players are represented by the data on the line plot?