PSA8DFQ - Grade 8 Mathematics Practice Test 2008

David joined a gym for one month. He paid a monthly fee of \$20 plus \$5 for each visit. The equation below can be used to find c, the total cost of joining the gym for one month and making v visits.

Based on the equation, which of the following statements is true?

Select one:

What is the slope of the line represented by the table of values below?

Select one:

Frank has 2 Massachusetts quarters and 3 “Eagle” quarters in his pocket, as pictured below.

He will select a quarter at random, look at it, and put it back. Then he will select another quarter at random.

What is the probability that Frank will select a Massachusetts quarter both times?

Select one:

Linda has a watch with a band made of removable links. All the links are the same size. The length, in centimeters, of the watch with a band made of r removable links is shown in the graph below.

What is the length of Linda’s watch with 12 links?

Select one:

The list below shows the interest rates for car loans at four different car dealerships.

Which of the following lists shows the interest rates in order from least to greatest?

Select one:

Which of the following expressions has a value of 16?

Select one:

Mr. Turner surveyed the students in his class to find out if they had read the front page, the comics, the sports, or any combination of those sections of the previous day’s newspaper. He recorded the results in the Venn diagram below.

Based on the Venn diagram, what was the total number of students who had read the front page of the previous day’s paper?

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

The maximum temperature on the planet Mercury is 950°F. The minimum temperature is -346°F. What is the difference, in degrees Fahrenheit, between the maximum and minimum temperatures on Mercury?

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

Lisa bought a silver chain. She wants to buy glass beads to put on the chain. The equation below can be used to determine y, Lisa’s total cost, in dollars, to buy a silver chain and x glass beads.

Copy the table below and complete it using the equation.

Create and fill in the table using the table button

Part B)

Show or explain how you got each of your answers.

Show your reasoning on paper, take a picture, and upload it using the image upload icon .

If you do not have the ability to upload an image of your work, type "Work is on paper."

Part C)

What does the 2 in the equation represent?

Select one:
Part D)

Part E)

What does the 10 in the equation represent?

Select one:
Part F)

Which of the following lists is in order from least to greatest?

Select one:

The Adams Middle School girls’ basketball team won 5 games and lost 3 games. What percent of all of these games did the team lose?

Select one:

The graph below shows the distance that a package travels on a conveyor belt in different numbers of seconds.

Based on the data in the graph, which of the following best represents the number of feet per second that a package travels on the conveyor belt?

Select one:

Which of the following lines appears to have the greatest slope?

Select one:

The graph below shows the total cost of cable service to new customers for the first five months.

Based on the data in the graph, which of the following expressions can be used to represent the total cost of cable service for m months?

Select one:

Which of the following is equivalent to the expression below?

17(83 - 16)

Select one:

What is the value of the expression below?

Select one:

Yoshi has some identical wooden cylinders and some identical wooden cubes. He balanced 3 of the cylinders with 2 of the cubes, as shown below.

What is the number of cylinders needed to balance 16 cubes?

Select one:

Which of the following is a true statement?

Select one:

For an art project, Calvin drew a rectangle inscribed in circle C, as shown below. The rectangle is 8 centimeters long and 6 centimeters wide.

What is the diameter, in centimeters, of circle C?

Do not include units (centimeters) in your answer.

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

What is the solution to the inequality below?

Complete the inequality

_______________

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

Parallelogram PQRS and the coordinates of point Q are shown on the coordinate plane below.

What are the coordinates of the image of point Q after parallelogram PQRS is translated 6 units to the left?

Write your answer in the following format:

(x,y)

with no spaces.

Part A)

Carrie recorded the temperature outside her school at the same time each day for four days.

• On Monday, the temperature was 11°F.

• On Tuesday, the temperature was 15°F less than the temperature on Monday.

• On Wednesday, the temperature was 3°F greater than the temperature on Tuesday.

• On Thursday, the temperature was 4°F greater than the temperature on Wednesday.

Copy and complete the table below using the information Carrie recorded.

Create and fill in the table using the table button

Part B)

Show or explain how you got your answer.

Show your reasoning on paper, take a picture, and upload it using the image upload icon .

If you do not have the ability to upload an image of your work, type "Work is on paper."

Part C)

What was the difference, in degrees Fahrenheit, between the temperature on Monday and the temperature on Wednesday?

Do not include units () in your answer.

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

Show or explain how you got your answer.

Show your reasoning on paper, take a picture, and upload it using the image upload icon .

If you do not have the ability to upload an image of your work, type "Work is on paper."

Part E)

Carrie also recorded the temperature outside her school on Friday. She calculated that the mean temperature for the 5 days, Monday through Friday, was 2°F.

What was the temperature, in degrees Fahrenheit, on Friday?

Do not include units () in your answer.

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

Show or explain how you got your answer.

Show your reasoning on paper, take a picture, and upload it using the image upload icon .

If you do not have the ability to upload an image of your work, type "Work is on paper."

In the figure below, quadrilateral PQRS is congruent to quadrilateral VUTW.

Which of the following pairs of angles must be congruent?

Select one:

The scores Melanie earned on her first four mathematics tests are shown in the box below.

Melanie earned a 92 on her fifth mathematics test. Which of the following measures does not change when her fifth test score is included?

Select one:

Madelyn had a square piece of cardboard that was 10 inches in length. She cut one 3-inch square from each corner, as shown below.

The shaded part represents the remaining cardboard. What is the area of the remaining cardboard?

Select one:

At the school carnival, Luke bought a hot dog for \$2. He also bought g game tickets for \$0.25 each. Luke spent a total of \$10.

Which of the following equations can be used to find the number of game tickets that Luke bought?

Select one:

A park has a large fish pond and a small fish pond, as shown below.

• Each pond is in the shape of a circle.

• The radius of the large fish pond is 4 times the radius of the small fish pond.

Based on this information, which of the following statements is true?

Select one:
Part A)

Michael stacked cubes to make the structure shown below.

Draw the right side view of Michael’s structure. Be sure to label your drawing “right side view.”

Draw the "right side view" of your structure on paper, take a picture, and upload it using the image upload icon .

If you do not have the ability to upload an image of your work, type "Work is on paper."

Part B)

Michael used a total of 14 cubes to make his structure.

Draw the front view of Michael’s structure. Be sure to label your drawing “front view.”

Draw the "front view" of your structure on paper, take a picture, and upload it using the image upload icon .

If you do not have the ability to upload an image of your work, type "Work is on paper."

Part C)

Draw one possible top view for Michael’s structure. Be sure to label your drawing “top view.”

Draw the "top view" of your structure on paper, take a picture, and upload it using the image upload icon .

If you do not have the ability to upload an image of your work, type "Work is on paper."

Part D)

Show or explain how you got your answer.

Show your reasoning on paper, take a picture, and upload it using the image upload icon .

If you do not have the ability to upload an image of your work, type "Work is on paper."

Part A)

Erika has a cylindrical container with a diameter of 6 inches and a height of 1.5 feet, as shown below.

What is the height, in inches, of the container?

Do not include units (inches) in your answer.

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

Show or explain how you got your answer.

Show your reasoning on paper, take a picture, and upload it using the image upload icon .

If you do not have the ability to upload an image of your work, type "Work is on paper."

Part C)

What is the volume, in cubic inches, of the container?  (Use 3.14 for .)

Do not include units (cubic inches) in your answer.

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

Show or explain how you got your answer.

Show your reasoning on paper, take a picture, and upload it using the image upload icon .

If you do not have the ability to upload an image of your work, type "Work is on paper."

Part E)

Erika filled the container with 250 cubic inches of sand. What is the approximate height, in inches, of the sand that Erika put in the container?

Do not include units (inches) in your answer.

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

Show or explain how you got your answer.

Show your reasoning on paper, take a picture, and upload it using the image upload icon .

If you do not have the ability to upload an image of your work, type "Work is on paper."

Yasmin works in a pet store. The list in the box below shows the number of pets that Yasmin sold each week for seven weeks.

What is the mode of the number of pets that Yasmin sold each week for these seven weeks?

Select one:

For an assembly, 105 chairs will be set up using the fewest possible rows.

• There will be the same number of chairs in each row.

• There will be more than one row of chairs.

What will be the number of chairs in each row?

Select one:

Which of the following is equivalent to the expression below?

Select one:

The bar graph below shows the attendance at each of five basketball games.

Which of the following is closest to the difference between the least and the greatest attendance for the five basketball games?

Select one:

Massachusetts has 4230 miles of rivers. Which of the following measures is closest to the length, in kilometers, of the rivers in Massachusetts?

Do not include units (kilometers) in your answer.

Select one:

The histogram below shows the scores for all the students who took a mathematics quiz.

What percent of the students received a score of 80 or above?

Select one:

Which of the following is more likely to be an estimate than an exact number?

Select one:

Jake has a coin bank in the shape of a cylinder that has a radius of 1.5 inches and a height of 5 inches. He made a paper label to completely cover the curved surface of the cylinder.

The expression below can be used to find the area of the label, where r stands for the radius and h stands for the height.

Which of the following is closest to the area of Jake’s label? (Use 3.14 for .)

Select one:

The circle graph below shows the percent of students enrolled in each of four foreign language classes being offered at a school.

• No student is enrolled in more than one foreign language class.

• The number of students enrolled in Italian is 36.

Based on the graph and the given data, what is the total number of students enrolled in foreign language classes?

Select one:
Part A)

The manager of a car dealership is ordering a new car. The options for the new car are shown in the table below.

The manager decides to let his computer randomly select one option for each of the three categories in the table.

Based on the table, what is the total number of combinations of 1 color, 1 roof style, and 1 number of doors that can be selected for the new car?

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

Show or explain how you got your answer.

Show your reasoning on paper, take a picture, and upload it using the image upload icon .

If you do not have the ability to upload an image of your work, type "Work is on paper."

Part C)

What is the probability that the computer will select a hard top for the new car?

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

Show or explain how you got your answer.

Show your reasoning on paper, take a picture, and upload it using the image upload icon .

If you do not have the ability to upload an image of your work, type "Work is on paper."

Part E)

What is the probability that the computer will not select white for the new car’s color?

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

Show or explain how you got your answer.

Show your reasoning on paper, take a picture, and upload it using the image upload icon .

If you do not have the ability to upload an image of your work, type "Work is on paper."

Part G)

What is the probability that the computer will select for the new car to both be silver and have 2 doors?

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

Show or explain how you got your answer.

Show your reasoning on paper, take a picture, and upload it using the image upload icon .

If you do not have the ability to upload an image of your work, type "Work is on paper."