2023: NY Grade 6 - Math - Sara Cowley | Library

Instructions

From the New York State Education Department. New York State Testing Program Grade 6 Mathematics Test. Internet. Available from https://www.nysedregents.org/ei/math/2023/2023-released-items-math-g6.pdf on State Education Department Website; accessed 5, June, 2024.

1

The net of a right square pyramid is shown. What is the surface area, in square inches, of the square pyramid?

1

Which expression is equivalent to 14 less than the product of 14 and 8?

1

A quadrilateral is drawn on a coordinate plane with the points A(-4,8), B(6,8), C(6,4), and D(-4,4). What is the length, in units, of side AB?

1

Which inequality, in terms of x, is graphed on the number line shown?

1

A right triangle is shown. What is the area, in square feet, of the right triangle?

Answer: _______ square feet

1

The lowest recorded temperatures for each of two states are listed below. 
-27\degree F and -35\degree F. 

Write a statement using <, >, ≤, or ≥ to compare the recorded temperatures of the two states.

Answer: _______ 

1

A set of shapes is shown. 
What is the ratio of the number of circles to the total number of shapes?

Answer: _______ 

2

Lee makes a rectangular-shaped tile pattern by placing three tiles side by side, with no space between the tiles. The list below describes the shape of each tile and the order in which they are placed.
The first tile is in the shape of a square with the side lengths of x inches.
The middle tile is shaped like a rectangle with a width of x inches and a length of 3x inches.
The third tile is shaped like a square with side lengths of x inches.
The perimeter of the tile pattern is 60 inches. What is the value of x in the tile pattern?

Show your work.

Answer: _______ inches.

2

The list below shows the cost of the same candle at two different stores.
Store ABC sells 6 of these candles for $12.00.
Store XYZ sells 8 of these candles for $14.00.
Which store sells the candle for a lower unit rate?

Explain how you determined your answer.

2

A box contains 8\frac{1}{4} cups of cereal. One serving of cereal is \frac{3}{4} cup. How many servings of cereal are in the box? 

Show your work.

Answer: _______ servings

2

What is the value of the expression? 7 \times(5-3)^{3}-20\div4?

Show your work.

Answer: _______ 

2

The tables show the ratios of distance to time traveled by Car A and Car B. 

If both cars maintain their rates of speed, what is the difference between the distances, in miles, traveled by Car A and by Car B after 8 hours? 

Show your work.

Answer: _______  miles

2

A shipping container in the shape of a right rectangular prism has a base with an area of 42 square feet. The height of the container is 5\frac{3}{4} feet. What is the volume, in cubic feet, of the shipping container?

Show your work.

Answer: _______ cubic feet

3

Logan earns money for completing chores. The graph shown represents the relationship between the number of chores, x, he completes, and the amount of money, y, he earns.

Based on the graph, explain the relationship between the number of chores Logan completes and the amount of money he earns. Be sure to identify the dependent and the independent variables in your answer.

Explain your answer.
_______ 

Determine the total amount of money Logan will earn after completing 9 chores.
Answer: $_______ 

2023: NY Grade 6 - Math

2023: NY Grade 6 - Math

The net of a right square pyramid is shown. What is the surface area, in square inches, of the square pyramid?

Which expression is equivalent to 14 less than the product of 14 and 8?

A quadrilateral is drawn on a coordinate plane with the points A(-4,8), B(6,8), C(6,4), and D(-4,4). What is the length, in units, of side AB?

Which inequality, in terms of x, is graphed on the number line shown?

The list below shows the cost of the same candle at two different stores.Store ABC sells 6 of these candles for $12.00.Store XYZ sells 8 of these candles for $14.00.Which store sells the candle for a lower unit rate?Explain how you determined your answer.

Points P, Q, R, and S are plotted on the number line shown. What point represents the location of the value -1\frac{1}{3}

A bakery owner bakes 450 cookies each day. Which equation can be used to determine the number of cookies, c, the owner bakes for any number of days, d?

The net of a right square pyramid is shown. What is the surface area, in square inches, of the square pyramid?

Which expression is equivalent to 14 less than the product of 14 and 8?

What is the least common multiple of 9 and 12?

What is the value of the expression \frac{3(7-2)+5^3}{2}?

The figure shows a shaded triangle within a rectangle.What is the area, in square centimeters, of the part of the rectangle that is not shaded?

Lukas recorded the elevations, in feet, of four activities while on vacation. The table shows the elevation of each activity, relative to sea level. Which activity has an elevation closest to sea level?

An expression is shown below. 5z+(9÷3)What is the coefficient of the variable in this expression?

A quadrilateral is drawn on a coordinate plane with the points A(-4,8), B(6,8), C(6,4), and D(-4,4). What is the length, in units, of side AB?

What is the value of the expression 5b+c^3 when b=7 and c=4?

Which expression is equivalent to 8(2a+3b)-2b?

Which inequality, in terms of x, is graphed on the number line shown?

The number 60 is 75% of what number?

The table shows the ratio of the number of teachers to the number of students at a school. The ratio of teachers to students is constant. Three numbers are missing from the table. Which table shows the correct missing numbers in the table at the top?

A diagram of a right rectangular prism is shown. What is the volume, in cubic inches, of the right rectangular prism?

The ratio of the number of yards to the number of miles is 3,520 : 2. How many yards are in 5 miles?

Which expression is equivalent to 4(3m+1)?

Mark ran 8 miles in 60 minutes. If Mark continues to run at that same rate, how many minutes will it take him to run 12 miles?

The list below shows the cost of the same candle at two different stores.Store ABC sells 6 of these candles for $12.00.Store XYZ sells 8 of these candles for $14.00.Which store sells the candle for a lower unit rate?Explain how you determined your answer.

Points P, Q, R, and S are plotted on the number line shown. What point represents the location of the value -1\frac{1}{3}

A bakery owner bakes 450 cookies each day. Which equation can be used to determine the number of cookies, c, the owner bakes for any number of days, d?

What is the least common multiple of 9 and 12?

What is the value of the expression \frac{3(7-2)+5^3}{2}?

The figure shows a shaded triangle within a rectangle.What is the area, in square centimeters, of the part of the rectangle that is not shaded?

Lukas recorded the elevations, in feet, of four activities while on vacation. The table shows the elevation of each activity, relative to sea level. Which activity has an elevation closest to sea level?

An expression is shown below. 5z+(9÷3)What is the coefficient of the variable in this expression?

What is the value of the expression 5b+c^3 when b=7 and c=4?

Which expression is equivalent to 8(2a+3b)-2b?

The number 60 is 75% of what number?

The table shows the ratio of the number of teachers to the number of students at a school. The ratio of teachers to students is constant. Three numbers are missing from the table. Which table shows the correct missing numbers in the table at the top?

A diagram of a right rectangular prism is shown. What is the volume, in cubic inches, of the right rectangular prism?

The ratio of the number of yards to the number of miles is 3,520 : 2. How many yards are in 5 miles?

Which expression is equivalent to 4(3m+1)?

Mark ran 8 miles in 60 minutes. If Mark continues to run at that same rate, how many minutes will it take him to run 12 miles?

The list below shows the cost of the same candle at two different stores.
Store ABC sells 6 of these candles for $12.00.
Store XYZ sells 8 of these candles for $14.00.
Which store sells the candle for a lower unit rate?

Explain how you determined your answer.

The figure shows a shaded triangle within a rectangle.

What is the area, in square centimeters, of the part of the rectangle that is not shaded?

An expression is shown below.
5z+(9÷3)
What is the coefficient of the variable in this expression?

The table shows the ratio of the number of teachers to the number of students at a school. The ratio of teachers to students is constant. Three numbers are missing from the table.

Which table shows the correct missing numbers in the table at the top?

The list below shows the cost of the same candle at two different stores.
Store ABC sells 6 of these candles for $12.00.
Store XYZ sells 8 of these candles for $14.00.
Which store sells the candle for a lower unit rate?

Explain how you determined your answer.

The figure shows a shaded triangle within a rectangle.

What is the area, in square centimeters, of the part of the rectangle that is not shaded?

An expression is shown below.
5z+(9÷3)
What is the coefficient of the variable in this expression?

The table shows the ratio of the number of teachers to the number of students at a school. The ratio of teachers to students is constant. Three numbers are missing from the table.

Which table shows the correct missing numbers in the table at the top?