PSA6P8X - 6th Grade EOG Practice Assessment
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S1. Kerry walks 3 miles each day. How far will she walk in 7 days?

 

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

 

 

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S3. What fraction of the circle is shaded? 

 

 

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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? 

 

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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? 

 

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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? 

 

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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? 

 

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5. What is the value of ?

 

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

 

 

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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.

 

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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.

 

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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?

 

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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.

 

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11. What is the product of 2.52 and 3.4? 

 

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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.

 

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

 

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

 

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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.

 

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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? 

 

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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? 

 

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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? 

 

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19. A laundry detergent is sold at four stores. 

 

 

Which store has the lowest price per ounce?

 

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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?

 

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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?

 

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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?

 

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

 

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

 

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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?

 

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

 

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

 

 

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

 

 

What is the total area of the parking lot?

 

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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?

 

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

 

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

 

 

What is the surface area of the prism?

 

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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. 

 

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

 

A. 

 

B. 

 

C. 

 

D. 

 

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

 

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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?

 

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

 

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

 

 

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

 

 

Who travels the greatest distance to school?

 

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

 

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

 

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41. Which expression represents the perimeter of the triangle?

 

 

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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?

 

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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? 

 

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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?

 

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

 

 

How much carpet will be needed for their porch?

 

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

 

 

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

 

 

What is the area of the shaded figure?

 

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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?

 

 

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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?

 

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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?

 

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