2023: NY Grade 7 - Math
By Sara Cowley
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Last updated 5 months ago
31 Questions
Note from the author:
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.
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 point
1
Question 1
1.
What is the value of the expression (-\frac{1}{3})\div(\frac{2}{5})?
What is the value of the expression (-\frac{1}{3})\div(\frac{2}{5})?
1 point
1
Question 2
2.
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?
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 point
1
Question 3
3.
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?
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 point
1
Question 4
4.
Which expression is equivalent to the one shown below?
-1.5 + \frac{2}{5} + (-7) + 2.6?
Which expression is equivalent to the one shown below?
-1.5 + \frac{2}{5} + (-7) + 2.6?
1 point
1
Question 5
5.
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?
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 point
1
Question 6
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?
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 point
1
Question 7
7.
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 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?
1 point
1
Question 8
8.
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 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?
1 point
1
Question 9
9.
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?
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 point
1
Question 10
10.
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 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 point
1
Question 11
11.
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?
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 point
1
Question 12
12.
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?
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 point
1
Question 13
13.
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?
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?
1 point
1
Question 14
14.
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 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?
1 point
1
Question 15
15.
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?
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?
1 point
1
Question 16
16.
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?
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 point
1
Question 17
17.
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?
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 point
1
Question 18
18.
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?
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 point
1
Question 19
19.
The sum of two numbers is zero. If one of the numbers is 5, what is the other number?
The sum of two numbers is zero. If one of the numbers is 5, what is the other number?
1 point
1
Question 20
20.
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?
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 point
1
Question 21
21.
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?
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 point
1
Question 22
22.
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 point
1
Question 23
23.
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 point
1
Question 24
24.
Write the expression \frac{1}{2}(18y-2y+10) as the sum of two unlike terms.
Answer: _______
2 points
2
Question 25
25.
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 points
2
Question 26
26.
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 points
2
Question 27
27.
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 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 points
2
Question 28
28.
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 points
2
Question 29
29.
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.
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 points
2
Question 30
30.
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 points
3
Question 31
31.
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.
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.