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End-of-Grade 6 (EOG6) Math

Last updated 11 months ago

45 questions

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Question 11

11.

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

Question 12

12.

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?

Question 13

13.

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.

Question 14

14.

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

Question 15

15.

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?

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Question 16

16.

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

Question 17

17.

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?

Question 18

18.

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

Question 19

19.

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?

Question 20

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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}?

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Question 45

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

0

18

24

40

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?

$1,200

$1,400

$1,600

$1,800

Which expression is equivalent to 25x - 10y?

5(5x - 2y)

5(5x - 10y)

5(20x - 5y)

5(20x - 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?

Jim’s answer of 2 \frac{2}{3} is correct because he divided \frac{2}{3} by \frac{1}{4} to get his answer.

Jim’s answer of 2 \frac{2}{3} is correct because he divided \frac{1}{4} by \frac{2}{3} to get his answer.

Ed’s answer of \frac{3}{8} is correct because he multiplied \frac{1}{4} by \frac{2}{3} to get his answer.

Ed’s answer of \frac{3}{8} is correct because he divided \frac{1}{4} by \frac{2}{3} to get his answer.

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?

5

8

10

12

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?

y = 25 + 300x 

y =25x + 300 

y =25 - 300x 

y = 25x - 300 

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?

(-3, 5)

(-3, -5)

(3, -5)

(3, 5)

Which statement is true?

0.04 < 0.004

8.2 < 8.02

7.\overline{6} < 7.67

0.0\overline3 < 0.003

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?

x \geq 60

x \leq 60

x > 60

x < 60

What is the area of the pentagon shown below?

27 square feet

58.5 square feet

85.5 square feet

117 square feet

A net of a three-dimensional figure is shown.

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

184 \text{ ft}^2

180 \text{ ft}^2

150 \text{ ft}^2

125 \text{ ft}^2

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?

-10

-8

-2

-1

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

64 trucks and 80 cars

72 trucks and 73 cars

84 trucks and 100 cars

96 trucks and 110 cars

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?

20.25 in.2

96 in.2

121.5 in.2

150 in.2

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?

80

100

93

97

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?

100

200

300

400

Ashley drew the triangle LMN on the grid below.

What is the area of triangle LMN?

24 square units

27 square units

48 square units

54 square units

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

Which statement is true?

Carol’s mean for the number of minutes she walked is equal to her median.

Carol’s mean for the number of minutes she walked is greater than Anna’s mean.

Anna’s median for the number of minutes she walked is greater than her mean.

Anna’s mean for the number of minutes she walked is equal to Carol’s mean.

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?

3 : 8

3 : 5

2 : 8

2 : 5

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

What is the value of the missing number?

15

20

25

30

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?

Week 1

Week 2

Week 3

Week 4

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

6 hearts to 9 stars

2 hearts to 4 stars

1 heart to 3 stars

8 hearts to 10 stars

A list of numbers is shown.

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

What is the mean of the list of numbers?

10

11

12

13

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?

\frac{1}{2}

\frac{2}{3}

\frac{4}{3}

\frac{5}{2}

A right rectangular prism is shown.

What is the volume of the prism?

8 \frac{1}{4} in.^{3} 

13 \frac{1}{4} in.^{3} 

16 \frac{1}{4} in.^{3} 

20 \frac{5}{16} in.^{3} 

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?

0.40n + 1.05h

0.60n + 1.45h

1.75nh

1.45h - 0.60n

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

$80

$75

$60

$55

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?

36 square inches

144 square inches

180 square inches

216 square inches

Which expression is equal to 48 + 72?

24(2 + 3)

8(6 + 12)

3(14 + 24)

2(24 + 38)

A store sells cans of tomatoes priced as shown.

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

10 ounces

15 ounces

18 ounces

32 ounces

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

185

298

370

406

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?

between 25% and 50%

between 50% and 75%

less than 25%

more than 75%

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?

18.4%

28.7%

34.6%

40.2%

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.)

5 gallons

3 gallons

2 gallons

1 gallon