End-of-Grade 6 (EOG6) Math

This is the end of the calculator inactive test questions.

Required

1

What is the value of (5^{2} - 10) ÷ 5 × 2^3?

NC.6.EE.1

Required

1

Paul had a job during his summer vacation. He earned $8.75 per hour. He worked 20 hours per week for 8 weeks. How much money did Paul earn?

NC.6.NS.3

Required

1

Which expression is equivalent to 25x - 10y?

NC.6.EE.3

Required

1

Jim and Ed are debating the answer to the equation \frac{2}{3}m = \frac{1}{4}.
Jim states that m is equal to 2 \frac{2}{3}.
Ed states that m is equal to \frac{3}{8}.
Which statement is true?

NC.6.EE.7

Required

1

Jamal will cut a piece of wood that is 2 \frac{1}{2} feet long into \frac{1}{4}-foot sections. How many sections will result?

NC.6.NS.1

Required

1

Tonya pays $300 each month to rent an office where she earns $25 per hour tutoring students. Which equation represents Tonya's profit, y, for working x hours?

NC.6.EE.9

Required

1

The table below shows the number of runs scored by several baseball teams during a season.

Which box plot correctly represents the data from the table?

NC.6.SP.4

Required

1

Which ordered pair represents a reflection of the point (-3, 5) across the y-axis?

NC.6.NS.6.b

Required

1

Which statement is true?

NC.6.NS.7.a

Required

1

Andy runs the same number of miles, x, every week. His total distance run each week is less than 60 miles. Which inequality represents how many miles Andy runs each week?

NC.6.EE.8

Required

1

What is the value of (5r + \frac{1}{5})^2 when r = 0?

NC.6.EE.2

Required

1

During a weekend, the manager of a mall gave away gift cards to every 80th person who visited the mall.
On Saturday, 1,210 people visited the mall.
On Sunday, 1,814 people visited the mall.
How many people received a gift card?

NC.6.NS.2

Required

1

Jenny bought gas for her car.
Gas cost $3.45 per gallon.
Jenny bought 12.2 gallons.
What was the total cost for Jenny’s gas? Express the answer as dollars.cents.

NC.6.NS.3

Required

1

What is the value of 1,608 \div 10^3?

NC.6.EE.1

Required

1

Steve has 2 \frac{1}{2} cups of flour. One of his recipes requires \frac{1}{8} cup of flour. What is the maximum number of times Steve can complete the recipe?

NC.6.NS.1

This is the end of the calculator inactive test questions.

Directions:
Look back over your answers for the calculator inactive questions. You will not be able to go back and work on these questions once you are given a calculator.
Raise your hand to let your teacher know you are ready to begin the calculator active test questions.
Do not begin work on the calculator active test questions until your teacher has given you a calculator.

Required

1

An airplane travels at a constant speed of 320 miles per hour. How far, in miles, will the airplane travel in 15 minutes?

NC.6.RP.3

Required

1

Ryan is building a tree house. It will take 85 \frac{1}{4} hours to complete. He can work on the tree house 15 \frac{1}{2} hours each week. To the nearest tenth, how many weeks will it take Ryan to complete the tree house?

NC.6.NS.1

Required

1

What is the value of x when \frac{1}{3} x = 9 \frac{1}{3}?

NC.6.EE.7

Required

1

Jenny has finished 12 of the 20 lessons in her piano book. Liam has finished the same percent of lessons from his piano book. His book contains 30 lessons. How many lessons has Liam finished?

NC.6.RP.4

Required

1

Sam is using the expression \frac{m}{8n} in class. What is the value of the expression when m = 4 and n = \frac{1}{2}?

NC.6.EE.2

Required

1

What is the area of the pentagon shown below?

NC.6.G.1

Required

1

A net of a three-dimensional figure is shown.

What is the surface area of the three-dimensional figure?

NC.6.G.4

Required

1

The graph shows segment FG and point P.

Point M is located in the third quadrant.
The distance between point M and point P is half the distance between point F and point G.
Segment MP is parallel to segment FG.

What is the first coordinate of point M?

NC.6.NS.8

Required

1

There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars could be in the parking lot?

NC.6.RP.1

Required

1

Suzy is wrapping a cube-shaped box and wants to make sure she has enough wrapping paper. The net for the box is shown.

What is the area she needs to cover?

NC.6.G.4

Required

1

Jamal scored 62, 75, 76, and 90 on four tests. What does he need to score on the fifth test in order to have a mean of exactly 80?

NC.6.SP.5.b

Required

1

Seventy-five 6th-grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?

NC.6.RP.4

Required

1

Ashley drew the triangle LMN on the grid below.

What is the area of triangle LMN?

NC.6.G.3

Required

1

This table shows the number of minutes Carol and Anna walked each day for 5 days.

Which statement is true?

NC.6.SP.3.a

Required

1

A restaurant orders corn tortillas and flour tortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2 : 3. What is the ratio of the number of flour tortillas to the total number of tortillas?

NC.6.RP.1

Required

1

In the table, the ratio of y to x is constant.

What is the value of the missing number?

NC.6.RP.3

Required

1

The table shows the daily amount that Trevor spent on snacks.

During which week did Trevor spend a mean amount of $0.85 per day on snacks?

NC.6.SP.3.a

Required

1

A set of stickers contains 4 hearts for every 6 stars. Which choice contains an equivalent ratio of hearts to stars?

NC.6.RP.1

Required

1

A list of numbers is shown.

7, 14, 15, 9, 11, 14, 11, 10, 17

What is the mean of the list of numbers?

NC.6.SP.5.b

Required

1

Which value from the set \{ \frac{1}{2}, \frac{2}{3}, \frac{4}{3}, \frac{5}{2} \} is a value of x that will make the equation \frac{3}{4}÷x=\frac{9}{8} true?

NC.6.EE.5

Required

1

A right rectangular prism is shown.

What is the volume of the prism?

NC.6.G.2

Required

1

Jason owns a party supply store.
He sells balloons for $0.50 each and party hats for $1.25 each.
Jason buys each balloon for $0.10 and each party hat for $0.20.
Which expression represents how much money Jason gains from selling n balloons and h party hats?

NC.6.EE.6

Required

1

Sarah earns $400 per week and spends 15% of her earnings on transportation. How much does Sarah spend on transportation every week?

NC.6.RP.4

Required

1

Karen has a cube that has a side length of 6 in. The net of the cube is shown.

What is the surface area of the cube?

NC.6.G.4

Required

1

Which expression is equal to 48 + 72?

NC.6.NS.4

Required

1

A store sells cans of tomatoes priced as shown.

Which size can of tomatoes has the lowest cost per ounce?

NC.6.RP.3

Required

1

If 45% of a number, n, is 225, what is 74% of n?

NC.6.RP.4

Required

1

A researcher was interested in how much Vitamin C adults had in their daily diets.
The researcher surveyed 100 random adults.
She made a box plot based on the amounts of Vitamin C in the diets of the 100 adults.

What percent of those in the survey get at least 90 milligrams of Vitamin C?

NC.6.SP.4

Required

1

At a middle school, 74 students have freckles. There are 258 students in the school. To the nearest tenth of a percent, what percent of the students have freckles?

NC.6.RP.4

Required

1

A motorcycle can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers?

(Note: 1 mile is approximately 1.6 kilometers.)

NC.6.RP.3

End-of-Grade 6 (EOG6) Math

What is the value of (5^{2} - 10) ÷ 5 × 2^3?

Paul had a job during his summer vacation. He earned $8.75 per hour. He worked 20 hours per week for 8 weeks. How much money did Paul earn?

Which expression is equivalent to 25x - 10y?

Jim and Ed are debating the answer to the equation \frac{2}{3}m = \frac{1}{4}.Jim states that m is equal to 2 \frac{2}{3}.Ed states that m is equal to \frac{3}{8}.Which statement is true?

Jamal will cut a piece of wood that is 2 \frac{1}{2} feet long into \frac{1}{4}-foot sections. How many sections will result?

Tonya pays $300 each month to rent an office where she earns $25 per hour tutoring students. Which equation represents Tonya's profit, y, for working x hours?

The table below shows the number of runs scored by several baseball teams during a season. Which box plot correctly represents the data from the table?

Which ordered pair represents a reflection of the point (-3, 5) across the y-axis?

Which statement is true?

Andy runs the same number of miles, x, every week. His total distance run each week is less than 60 miles. Which inequality represents how many miles Andy runs each week?

What is the value of (5r + \frac{1}{5})^2 when r = 0?

During a weekend, the manager of a mall gave away gift cards to every 80th person who visited the mall.On Saturday, 1,210 people visited the mall.On Sunday, 1,814 people visited the mall.How many people received a gift card?

Jenny bought gas for her car.Gas cost $3.45 per gallon.Jenny bought 12.2 gallons.What was the total cost for Jenny’s gas? Express the answer as dollars.cents.

What is the value of 1,608 \div 10^3?

Steve has 2 \frac{1}{2} cups of flour. One of his recipes requires \frac{1}{8} cup of flour. What is the maximum number of times Steve can complete the recipe?

An airplane travels at a constant speed of 320 miles per hour. How far, in miles, will the airplane travel in 15 minutes?

Ryan is building a tree house. It will take 85 \frac{1}{4} hours to complete. He can work on the tree house 15 \frac{1}{2} hours each week. To the nearest tenth, how many weeks will it take Ryan to complete the tree house?

What is the value of x when \frac{1}{3} x = 9 \frac{1}{3}?

Jenny has finished 12 of the 20 lessons in her piano book. Liam has finished the same percent of lessons from his piano book. His book contains 30 lessons. How many lessons has Liam finished?

Sam is using the expression \frac{m}{8n} in class. What is the value of the expression when m = 4 and n = \frac{1}{2}?

What is the area of the pentagon shown below?

A net of a three-dimensional figure is shown.What is the surface area of the three-dimensional figure?

The graph shows segment FG and point P.Point M is located in the third quadrant.The distance between point M and point P is half the distance between point F and point G.Segment MP is parallel to segment FG.What is the first coordinate of point M?

There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars could be in the parking lot?

Suzy is wrapping a cube-shaped box and wants to make sure she has enough wrapping paper. The net for the box is shown. What is the area she needs to cover?

Jamal scored 62, 75, 76, and 90 on four tests. What does he need to score on the fifth test in order to have a mean of exactly 80?

Seventy-five 6th-grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?

Ashley drew the triangle LMN on the grid below.What is the area of triangle LMN?

This table shows the number of minutes Carol and Anna walked each day for 5 days.Which statement is true?

A restaurant orders corn tortillas and flour tortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2 : 3. What is the ratio of the number of flour tortillas to the total number of tortillas?

In the table, the ratio of y to x is constant.What is the value of the missing number?

The table shows the daily amount that Trevor spent on snacks.During which week did Trevor spend a mean amount of $0.85 per day on snacks?

A set of stickers contains 4 hearts for every 6 stars. Which choice contains an equivalent ratio of hearts to stars?

A list of numbers is shown.7, 14, 15, 9, 11, 14, 11, 10, 17What is the mean of the list of numbers?

Which value from the set \{ \frac{1}{2}, \frac{2}{3}, \frac{4}{3}, \frac{5}{2} \} is a value of x that will make the equation \frac{3}{4}÷x=\frac{9}{8} true?

A right rectangular prism is shown.What is the volume of the prism?

Jason owns a party supply store.He sells balloons for $0.50 each and party hats for $1.25 each.Jason buys each balloon for $0.10 and each party hat for $0.20.Which expression represents how much money Jason gains from selling n balloons and h party hats?

Sarah earns $400 per week and spends 15% of her earnings on transportation. How much does Sarah spend on transportation every week?

Karen has a cube that has a side length of 6 in. The net of the cube is shown.What is the surface area of the cube?

Which expression is equal to 48 + 72?

A store sells cans of tomatoes priced as shown.Which size can of tomatoes has the lowest cost per ounce?

If 45% of a number, n, is 225, what is 74% of n?

A researcher was interested in how much Vitamin C adults had in their daily diets.The researcher surveyed 100 random adults.She made a box plot based on the amounts of Vitamin C in the diets of the 100 adults.What percent of those in the survey get at least 90 milligrams of Vitamin C?

At a middle school, 74 students have freckles. There are 258 students in the school. To the nearest tenth of a percent, what percent of the students have freckles?

A motorcycle can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers?(Note: 1 mile is approximately 1.6 kilometers.)

What is the value of (5^{2} - 10) ÷ 5 × 2^3?

Paul had a job during his summer vacation. He earned $8.75 per hour. He worked 20 hours per week for 8 weeks. How much money did Paul earn?

Which expression is equivalent to 25x - 10y?

Jim and Ed are debating the answer to the equation \frac{2}{3}m = \frac{1}{4}.Jim states that m is equal to 2 \frac{2}{3}.Ed states that m is equal to \frac{3}{8}.Which statement is true?

Jamal will cut a piece of wood that is 2 \frac{1}{2} feet long into \frac{1}{4}-foot sections. How many sections will result?

Tonya pays $300 each month to rent an office where she earns $25 per hour tutoring students. Which equation represents Tonya's profit, y, for working x hours?

The table below shows the number of runs scored by several baseball teams during a season. Which box plot correctly represents the data from the table?

Which ordered pair represents a reflection of the point (-3, 5) across the y-axis?

Which statement is true?

Andy runs the same number of miles, x, every week. His total distance run each week is less than 60 miles. Which inequality represents how many miles Andy runs each week?

What is the value of (5r + \frac{1}{5})^2 when r = 0?

During a weekend, the manager of a mall gave away gift cards to every 80th person who visited the mall.On Saturday, 1,210 people visited the mall.On Sunday, 1,814 people visited the mall.How many people received a gift card?

Jenny bought gas for her car.Gas cost $3.45 per gallon.Jenny bought 12.2 gallons.What was the total cost for Jenny’s gas? Express the answer as dollars.cents.

What is the value of 1,608 \div 10^3?

Steve has 2 \frac{1}{2} cups of flour. One of his recipes requires \frac{1}{8} cup of flour. What is the maximum number of times Steve can complete the recipe?

An airplane travels at a constant speed of 320 miles per hour. How far, in miles, will the airplane travel in 15 minutes?

Ryan is building a tree house. It will take 85 \frac{1}{4} hours to complete. He can work on the tree house 15 \frac{1}{2} hours each week. To the nearest tenth, how many weeks will it take Ryan to complete the tree house?

What is the value of x when \frac{1}{3} x = 9 \frac{1}{3}?

Jenny has finished 12 of the 20 lessons in her piano book. Liam has finished the same percent of lessons from his piano book. His book contains 30 lessons. How many lessons has Liam finished?

Sam is using the expression \frac{m}{8n} in class. What is the value of the expression when m = 4 and n = \frac{1}{2}?

What is the area of the pentagon shown below?

A net of a three-dimensional figure is shown.What is the surface area of the three-dimensional figure?

The graph shows segment FG and point P.Point M is located in the third quadrant.The distance between point M and point P is half the distance between point F and point G.Segment MP is parallel to segment FG.What is the first coordinate of point M?

There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars could be in the parking lot?

Suzy is wrapping a cube-shaped box and wants to make sure she has enough wrapping paper. The net for the box is shown. What is the area she needs to cover?

Jamal scored 62, 75, 76, and 90 on four tests. What does he need to score on the fifth test in order to have a mean of exactly 80?

Seventy-five 6th-grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?

Ashley drew the triangle LMN on the grid below.What is the area of triangle LMN?

This table shows the number of minutes Carol and Anna walked each day for 5 days.Which statement is true?

A restaurant orders corn tortillas and flour tortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2 : 3. What is the ratio of the number of flour tortillas to the total number of tortillas?

In the table, the ratio of y to x is constant.What is the value of the missing number?

The table shows the daily amount that Trevor spent on snacks.During which week did Trevor spend a mean amount of $0.85 per day on snacks?

A set of stickers contains 4 hearts for every 6 stars. Which choice contains an equivalent ratio of hearts to stars?

Jim and Ed are debating the answer to the equation \frac{2}{3}m = \frac{1}{4}.
Jim states that m is equal to 2 \frac{2}{3}.
Ed states that m is equal to \frac{3}{8}.
Which statement is true?

The table below shows the number of runs scored by several baseball teams during a season.

Which box plot correctly represents the data from the table?

During a weekend, the manager of a mall gave away gift cards to every 80th person who visited the mall.
On Saturday, 1,210 people visited the mall.
On Sunday, 1,814 people visited the mall.
How many people received a gift card?

Jenny bought gas for her car.
Gas cost $3.45 per gallon.
Jenny bought 12.2 gallons.
What was the total cost for Jenny’s gas? Express the answer as dollars.cents.

A net of a three-dimensional figure is shown.

What is the surface area of the three-dimensional figure?

The graph shows segment FG and point P.

Point M is located in the third quadrant.
The distance between point M and point P is half the distance between point F and point G.
Segment MP is parallel to segment FG.

What is the first coordinate of point M?

Suzy is wrapping a cube-shaped box and wants to make sure she has enough wrapping paper. The net for the box is shown.

What is the area she needs to cover?

Ashley drew the triangle LMN on the grid below.

What is the area of triangle LMN?

This table shows the number of minutes Carol and Anna walked each day for 5 days.

Which statement is true?

In the table, the ratio of y to x is constant.

What is the value of the missing number?

The table shows the daily amount that Trevor spent on snacks.

During which week did Trevor spend a mean amount of $0.85 per day on snacks?

A list of numbers is shown.

7, 14, 15, 9, 11, 14, 11, 10, 17

What is the mean of the list of numbers?

A right rectangular prism is shown.

What is the volume of the prism?

Jason owns a party supply store.
He sells balloons for $0.50 each and party hats for $1.25 each.
Jason buys each balloon for $0.10 and each party hat for $0.20.
Which expression represents how much money Jason gains from selling n balloons and h party hats?

Karen has a cube that has a side length of 6 in. The net of the cube is shown.

What is the surface area of the cube?

A store sells cans of tomatoes priced as shown.

Which size can of tomatoes has the lowest cost per ounce?

A researcher was interested in how much Vitamin C adults had in their daily diets.
The researcher surveyed 100 random adults.
She made a box plot based on the amounts of Vitamin C in the diets of the 100 adults.

What percent of those in the survey get at least 90 milligrams of Vitamin C?

A motorcycle can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers?

(Note: 1 mile is approximately 1.6 kilometers.)

Jim and Ed are debating the answer to the equation \frac{2}{3}m = \frac{1}{4}.
Jim states that m is equal to 2 \frac{2}{3}.
Ed states that m is equal to \frac{3}{8}.
Which statement is true?

The table below shows the number of runs scored by several baseball teams during a season.

Which box plot correctly represents the data from the table?

During a weekend, the manager of a mall gave away gift cards to every 80th person who visited the mall.
On Saturday, 1,210 people visited the mall.
On Sunday, 1,814 people visited the mall.
How many people received a gift card?

Jenny bought gas for her car.
Gas cost $3.45 per gallon.
Jenny bought 12.2 gallons.
What was the total cost for Jenny’s gas? Express the answer as dollars.cents.

A net of a three-dimensional figure is shown.

What is the surface area of the three-dimensional figure?

The graph shows segment FG and point P.

Point M is located in the third quadrant.
The distance between point M and point P is half the distance between point F and point G.
Segment MP is parallel to segment FG.

What is the first coordinate of point M?

Suzy is wrapping a cube-shaped box and wants to make sure she has enough wrapping paper. The net for the box is shown.

What is the area she needs to cover?

Ashley drew the triangle LMN on the grid below.

What is the area of triangle LMN?

This table shows the number of minutes Carol and Anna walked each day for 5 days.

Which statement is true?

In the table, the ratio of y to x is constant.

What is the value of the missing number?

The table shows the daily amount that Trevor spent on snacks.

During which week did Trevor spend a mean amount of $0.85 per day on snacks?

A list of numbers is shown.

7, 14, 15, 9, 11, 14, 11, 10, 17

What is the mean of the list of numbers?

A right rectangular prism is shown.

What is the volume of the prism?

Jason owns a party supply store.
He sells balloons for $0.50 each and party hats for $1.25 each.
Jason buys each balloon for $0.10 and each party hat for $0.20.
Which expression represents how much money Jason gains from selling n balloons and h party hats?

Karen has a cube that has a side length of 6 in. The net of the cube is shown.

What is the surface area of the cube?

A store sells cans of tomatoes priced as shown.

Which size can of tomatoes has the lowest cost per ounce?

A researcher was interested in how much Vitamin C adults had in their daily diets.
The researcher surveyed 100 random adults.
She made a box plot based on the amounts of Vitamin C in the diets of the 100 adults.

What percent of those in the survey get at least 90 milligrams of Vitamin C?

A motorcycle can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers?

(Note: 1 mile is approximately 1.6 kilometers.)