PSA6P8X - 6th Grade EOG Practice Assessment

or select individual problems:

S1. Kerry walks 3 miles each day. How far will she walk in 7 days?

** NC EOG G6 Released Item**

Select one:

S2. What number is represented by point P on the number line below?

**NC EOG G6 Released Item**

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

S3. What fraction of the circle is shaded?

**NC EOG G6 Released Item**

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

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

• A one-day pass to the pool is $2.25.

• A monthly pass to the pool is $30.00.

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

** NC EOG G6 Released Item**

Select one:

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

**NC EOG G6 Released Item**

Select one:

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?

**NC EOG G6 Released Item**

Select one:

4. Hannah babysits to earn money.

• She charges $6.50 to babysit for the first hour.

• She charges $5.75 for each additional hour.

• Let n equal the number of hours after the first hour.

Which expression represents how much Hannah charges?

**NC EOG G6 Released Item**

Select one:

5. What is the value of ?

**NC EOG G6 Released Item**

Select one:

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

**NC EOG G6 Released Item**

Select one:

7. A recipe requires lb of onions to make 3 servings of soup. Mark has lb of onions. How many servings can Mark make?

Do not include units (servings) in your answer.

**NC EOG G6 Released Item**

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

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

Do not include units (ft) in your answer.

**NC EOG G6 Released Item**

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

9. Allen is building birdhouses that require -ft-long boards. How many pieces that are exactly ft long can be made from a board that is ft long?

**NC EOG G6 Released Item**

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

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

Express the answer as dollars.cents.

Do not include units ($) in your answer.

**NC EOG G6 Released Item**

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

11. What is the product of 2.52 and 3.4?

**NC EOG G6 Released Item**

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

12. At a store, Susan selected a pumpkin that weighed 35.2 ounces.

• Pumpkins cost $1.80 per pound.

• There are 16 ounces in 1 pound.

How much did Susan’s pumpkin cost?

Express the answer as dollars.cents.

Do not include units ($) in your answer.

**NC EOG G6 Released Item**

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

13. What is the greatest whole number that is less than ?

**NC EOG G6 Released Item**

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

14. What is the value of , when x = 3?

**NC EOG G6 Released Item**

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

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

Do not include units (hours) in your answer.

**NC EOG G6 Released Item**

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

16. One serving of Mike’s crackers has 150 calories and a mass of 30 grams. How many calories are in 6 grams of the crackers?

**NC EOG G6 Released Item**

Select one:

17. 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?

**NC EOG G6 Released Item**

Select one:

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

**NC EOG G6 Released Item**

Select one:

19. A laundry detergent is sold at four stores.

Which store has the lowest price per ounce?

**NC EOG G6 Released Item**

Select one:

20. Marcy is taking two types of medicine.

• She takes one medicine every 6 hours.

• She takes the other medicine every 4 hours.

• She takes both medicines at 9:00 a.m.

At what time will Marcy take both medicines together again?

**NC EOG G6 Released Item**

Select one:

21. Jeff recorded the average temperatures for six months. He will display the temperatures on a number line.

On the number line, which month’s temperature will be between February’s and March’s temperatures?

**NC EOG G6 Released Item**

Select one:

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

**NC EOG G6 Released Item**

Select one:

23. Which can be represented by the expression 17 – 2x?

**NC EOG G6 Released Item**

Select one:

24. Which expression is equivalent to 5y + 2y + 6x + 2y – x?

** NC EOG G6 Released Item**

Select one:

25. 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?

** NC EOG G6 Released Item**

Select one:

26. If y – 18 = 14, what is the value of 3(y + 5)?

** NC EOG G6 Released Item**

Select one:

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

** NC EOG G6 Released Item**

Select one:

28. The shaded area indicates the parking lot at a shopping center.

What is the total area of the parking lot?

** NC EOG G6 Released Item**

Select one:

29. The right rectangular prism below is made up of 8 cubes. Each cube has an edge length of inch.

What is the volume of this prism?

** NC EOG G6 Released Item**

Select one:

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

** NC EOG G6 Released Item**

Select one:

31. The net of a triangular right prism is shown below.

What is the surface area of the prism?

** NC EOG G6 Released Item**

Select one:

32. 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 correctly summarizes the data?

A.

B.

C.

D.

** NC EOG G6 Released Item**

Select one:

33. Which box plot represents a set of data with the largest interquartile range?

A.

B.

C.

D.

** NC EOG G6 Released Item**

Select one:

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

** NC EOG G6 Released Item**

Select one:

35. Jack drew a 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?

** NC EOG G6 Released Item**

Select one:

36. Valerie is 64 inches tall. * About* how many centimeters tall is Valerie? (1 inch ≈ 2.5 centimeters)

** NC EOG G6 Released Item**

Select one:

37. Which point on the number line represents the number ?

** NC EOG G6 Released Item**

Select one:

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

Who travels the greatest distance to school?

** NC EOG G6 Released Item**

Select one:

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

** NC EOG G6 Released Item**

Select one:

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

** NC EOG G6 Released Item**

Select one:

41. Which expression represents the perimeter of the triangle?

** NC EOG G6 Released Item**

Select one:

42. 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?

** NC EOG G6 Released Item**

Select one:

43. Jane wants to visit her sister.

• Her car travels x miles per gallon of gas.

• She will travel 1,000 miles to her sister’s house.

• Gas costs $3.50 per gallon.

Which expression shows how much Jane will spend for gas on the trip to her sister’s house?

** NC EOG G6 Released Item**

Select one:

44. Suppose that a stove and a freezer together weigh at least 370 pounds. The weight of the stove is 170 pounds. Which inequality correctly describes these conditions for the weight of the freezer, f?

** NC EOG G6 Released Item**

Select one:

45. The Wilsons want to put outdoor carpet on their porch.

How much carpet will be needed for their porch?

** NC EOG G6 Released Item**

Select one:

46. What is the volume of the right rectangular prism below?

** NC EOG G6 Released Item**

Select one:

47. In the graph below, each grid square represents one square yard.

What is the area of the shaded figure?

** NC EOG G6 Released Item**

Select one:

48. Abby is making a decoration. When folded, the decoration is a triangular pyramid made of four congruent equilateral triangles. * Approximately*, what is the surface area of Abby’s decoration?

** NC EOG G6 Released Item**

Select one:

49. 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?

** NC EOG G6 Released Item**

Select one:

50. The weather station recorded the high temperature each day for 30 days. The graph of the temperature data is shown below.

In which interval is the median temperature?

** NC EOG G6 Released Item**

Select one: