Quiz about NC 6th Grade EOG Math Review - Released Test 2015

Question 1

Joe Will go to the swimming pool on 20 different days this month.

A one day pass to the pool is $2.75

A monthly pass to the pool is $30.00

How much money will Joe save by buying a monthly pass?

Accepted Answer

$15

Answer

$20

Answer

$18

Answer

$12

Question 2

A rectangular parking lot has an area of 2/3 of a square kilometer. The width is 1/2 of a kilometer. What is the length, in kilometers, of the parking lot?

Accepted Answer

1 1/3

Answer

1/3

Answer

2/3

Answer

1 2/3

Question 3

The price of a theater ticket increased from $7.50 to $7.75. The theater sold 315 tickets at the higher price. With the price increase, how much more did the theater earn on the tickets?

Accepted Answer

$78.75

Answer

$78.00

Answer

$78.25

Answer

$78.50

Question 4

What is the value of (1/7)³

Accepted Answer

1/343

Answer

3/7

Answer

1/7

Answer

3/343

Question 5

Which choice shows a set of data that could be represented by the box plot shown above?

Accepted Answer

1, 3, 5, 6, 7, 7, 8, 13, 19, 20

Answer

1, 3, 5, 6, 6, 8, 13, 14, 19, 20

Answer

1, 2, 3, 5, 7, 8, 8, 13, 19, 20

Answer

1, 5, 5, 6, 6, 6, 8, 13, 19, 20

Question 6

A recipe requires 1/4 lb of onions to make 3 servings of soup. Mark has 1 1/2 lb of onions. How many servings can Mark make?

Accepted Answer

18

Answer

5/8

Answer

6

Answer

1 3/4

Question 7

A rectangular room has an area of 131.25 square feet. The length of the room is 12.5 feet. What is the width, in feet, of the room?

Accepted Answer

10.5

Answer

1640.625

Answer

11.25

Answer

9.75

Question 8

Allen is building birdhouses that require 1/2 -ft-long boards. How many pieces that are exactly 1/2 ft long can be made from a board that is 8 1/4 ft long?

Accepted Answer

16

Answer

12

Answer

4

Answer

16.5

Question 9

How much money should John get back when he uses $10.00 to pay for purchases totaling $5.25?

Accepted Answer

$4.75

Answer

$5.75

Answer

$3.75

Answer

$4.50

Question 10

What is the product of 2.52 and 3.4?

Accepted Answer

8.568

Answer

5.93

Answer

.88

Answer

7.38

Question 11

What is the value of 1/3x² + 2, when x = 3?

Accepted Answer

5

Answer

3

Answer

8

Answer

4

Question 12

Heather earns $8.00 per hour for walking a dog. How many hours must she work to earn $256.00?

Accepted Answer

32

Answer

248

Answer

32.25

Answer

15

Question 13

The ratio of nitrogen to potassium in a sample of soil is 12:9. The sample has 36 units of nitrogen. How much potassium does the sample have?

Accepted Answer

27 units

Answer

21 units

Answer

33 units

Answer

48 units

Question 14

To clean a tank, 3/4 cup of disinfectant is needed for every 2 gallons of water. How many cups of disinfectant are needed for 20 gallons of water?

Accepted Answer

7.5

Answer

15

Answer

22.5

Answer

30

Question 15

A trapezoid in a coordinate plane has vertices (-2, 5), ( -3, -2), (2, -2), and (1, 5). What is the height of the trapezoid?

Accepted Answer

7 Units

Answer

3 Units

Answer

5 Units

Answer

9 Units

Question 16

Diana can use the equation y = 7x to calculate her pay, where y represents the amount of pay, and x represents the number of hours worked. How many hours did Diana work if she was paid $45.50?

Accepted Answer

6.5 hours

Answer

5.5 hours

Answer

6 hours

Answer

7 hours

Question 17

Karen recorded her walking pace in the table above. What equation best represents this relationship?

Accepted Answer

m = 3.5h

Answer

h = m + 10

Answer

h = 3.5m

Answer

m = h + 10

Question 18

The right rectangular prism above is made up of 8 cubes. Each cube has an edge length of 1/2 inch.

Accepted Answer

1 cubic inch

Answer

2 cubic inches

Answer

4 cubic inches

Answer

8 cubic inches

Question 19

What is the area of the quadrilateral with vertices at (-1, 0), (2, 0), (2, 5), and (-1, 5)?

Accepted Answer

15 square units

Answer

12 square units

Answer

10 square units

Answer

5 square units

Question 20

The net of a triangular right prism is shown above.

What is the surface area of the prism?

Accepted Answer

204 in.2

Answer

228 in.2

Answer

240 in.2

Answer

288 in.2

Question 21

The data below represents the numbers of books that twelve students read.

2, 4, 7, 8, 9, 12, 14, 18, 19, 21, 30, 32

Which box plot, from the grouping above, correctly summarizes the data?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 22

A company that makes boxes finds that 3 out of 20 boxes are damaged. What percent of the boxes are damaged?

Accepted Answer

15%

Answer

12%

Answer

25%

Answer

34%

Question 23

Jack drew the above number line on his paper.

Jack drew a new point 45% of the distance from point E to point J. Between which two letters does the new point lie?

Accepted Answer

G and H

Answer

I and J

Answer

F and G

Answer

H and I

Question 24

Which point on the number line represents the number -4.5?

Accepted Answer

P

Answer

Q

Answer

R

Answer

S

Question 25

This table shows the number of miles four friends travel to get to school.

Who travels the greatest distance to school?

Accepted Answer

Helen

Answer

Andie

Answer

Michelle

Answer

Troy

Question 26

In the coordinate plane, what is the distance between (-3, 5) and (-3, -8)?

Accepted Answer

13 units

Answer

3 units

Answer

6 units

Answer

8 units

Question 27

Which choice is equivalent to the expression 4(x + 2y)?

Accepted Answer

4x + 8y

Answer

4x + 2y

Answer

x + 8y

Answer

8xy

Question 28

Which expression represents the perimeter of the triangle?

Accepted Answer

9k + 36

Answer

10k + 25

Answer

20k + 25

Answer

24k + 36

Question 29

The length of a rectangle is 6 units longer than the width, w. Which choice is a correct expression for the perimeter of the rectangle?

Accepted Answer

4w + 12

Answer

2w + 6

Answer

2w + 12

Answer

4w + 6

Question 30

The Wilsons want to put outdoor carpet on their porch.

How much carpet will be needed for their porch?

Accepted Answer

108 ft2

Answer

42 ft2

Answer

72 ft2

Answer

144 ft2

Question 31

What is the volume of the right rectangular prism above?

Accepted Answer

3 3/4 cubic inches

Answer

4 cubic inches

Answer

4 1/8 cubic inches

Answer

2 1/8 cubic inches

Question 32

Katherine earned 84, 92, 84, 75, and 70 on her first 5 tests. What is the minimum grade Katherine needs to earn on the next test to have a mean of 84?

Accepted Answer

99

Answer

81

Answer

84

Answer

95

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