PSA8DJH - Grade 8 Mathematics Practice Test 2006
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Which of the following is a multiple of 12?

Select one:

 

 

A city planner created the table below to show the total number of seats for different numbers of subway cars.

Which of the following represents the relationship between x, the number of subway cars, and y, the total number of seats, for the data in the table?

Select one:

 

 

What is the value of the expression below when x=10?

 

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The Enescu family rented 4 movies at a video store. The length, in hours, of each of the movies is shown below.

What is the total length of the 4 movies?

 

Select one:

 

 

The length of Ann’s bedroom is  yards. What is the length, in feet, of her bedroom?

Select one:

 

 

The table below shows four pairs of x and y values.

Which of the following equations is true for all pairs of x and y values in the table? 

Select one:

 

 

Triangle DEF is similar to triangle ABC.

What is the measure, in degrees, of ∠F

 

Do not include units (°) in your answer.

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

 

 

Sarah and Jacob compared their total bowling scores. Sarah’s total score was 109 points greater than Jacob’s total score. Write an expression that represents Jacob’s total score based on S, Sarah’s total score.

Complete the equation below

Jacob's total score = _______________

Use S as your variable.

 

Type your answer below (mathematical expression):
Part A)

 

Jerry wants to copy five files onto a compact disc (CD). The CD can hold a total of 700 megabytes of data. The size, in megabytes, of each of Jerry’s files is shown in the chart below.

a) What is the difference, in megabytes, between the largest and smallest of the five files?

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

a)continued Show or explain how you got your answer. 

Type your answer below:
Part C)

b) Jerry estimated that the total number of megabytes in the five files was about 500 megabytes. Do you agree or disagree with Jerry’s estimate? Show or explain how you got your answer.

Type your answer below:
Part D)

c) Based on Jerry’s estimate, what percent of the 700 total megabytes that the CD can hold will be left after Jerry copies these five files to the CD? Do not include the percent sign (%) in your answer. 

 

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

c)continued Show or explain how you got your answer.

Type your answer below:

 

 

The table below shows Patrick’s results on a 25-question history test.

 

 

Of the questions Patrick answered correctly, what percent were true-false questions?

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When Lisa first started exercising, she could exercise for only 8 minutes. Yesterday, she exercised for 15 minutes. Which of the following proportions could be used to determine the percent increase in Lisa’s exercise time?

 

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The formula below can be used to determine f, the total braking distance, in feet, that a car moving at n miles per hour will travel after the driver applies the brakes.

Using this formula, what is the total braking distance that a car moving at 60 miles per hour will travel after the driver applies the brakes?

Select one:
Part A)

 

Which of the following expressions is not equivalent to -7?

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

 

 

Which of the following is the prime factorization of 72?

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Sandra bought  pounds of apples. Which of the following shows  written in decimal notation?

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Martin correctly answered 90% of the questions on a math test that contained exactly 40 questions. How many of the questions did he answer incorrectly?

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Which of the following equations best represents the line in the graph shown below?

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In Mr. Montgomery’s class, there are 8 boys and 12 girls. If Mr. Montgomery selects 1 student from his class at random, what is the probability that the student will be a girl?

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Lorna swam 30 laps per day for the first 6 days of swim practice. She swam 40 laps per day for the next 4 days of practice. What was the mean number of laps that Lorna swam per day for these 10 days?

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

 

 

On the real number line, between what two consecutive integers is √7 ?

Type your answer in the following format:

x and y

Type your answer below:

 

 

The stem-and-leaf plot below shows the number of laps walked by 15 students in a walk-a-thon.

What is the total number of students who walked more than 29 laps?

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

 

 

Chelsea drew triangle ABC so that the vertices are at points A(4,-2), B(2,-5), and C(5,-6), as shown on the coordinate grid below.

a) Copy the coordinate grid and triangle ABC onto the grid on your paper. Draw the reflection of triangle ABC across the x-axis to form triangle A'B'C'. List the coordinates for point A', point B', and point C' on the graph.

Draw your graph 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 "Graph is on paper."

 

Type your answer below:
Part B)

b) On the same coordinate grid, draw the reflection of triangle A'B'C' across the y-axis to form triangle A'B'C'. List the coordinates for point A', point B', and point C' on the graph.

Draw your graph 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 "Graph is on paper."

Type your answer below:

 

 

Jay went on a whale-watching trip in Massachusetts Bay and saw several whales. Which of the following units could be used to measure the length of a whale?

Select one:

 

 

At 6:00 p.m., the temperature was -14.8°F. During the night, the temperature decreased by 8.7°F. What was the temperature after the decrease?

Select one:

 

 

The diagram below shows the dimensions of a rectangular field.

What is the length of a diagonal of the field?

Select one:

 

 

Denzel read about a glacier that is moving in the same direction at a rate of 80 meters every 3 years. At that rate, which of the following equations can be used to find d, the distance, in meters, that the glacier will move in t years?

Select one:

 

Mona counted a total of 56 ducks on the pond in Town Park. The ratio of female ducks to male ducks that Mona counted was 5:3. What was the total number of female ducks Mona counted on the pond?

Select one:
Part A)

 

 

Currently, Irina exercises a total of 135 minutes during each week. She is planning to begin the following new exercise program.

• The exercise program will last 6 weeks.

• During each week of the program, she will exercise 15 minutes more than she exercised the previous week.

a) Copy the table below in your answer. In the table, week 0 shows the number of minutes per week Irina exercised before she started the new program. Complete your table to show the number of minutes that Irina will exercise during each of the 6 weeks if she follows her new exercise program.

Create and fill in the table using the table button.

 

Type your answer below:
Part B)

b) For the data shown in the table, write an equation that shows the relationship between w and n.

Complete the equation below

n = _______________

Use w as your variable.

Type your answer below (mathematical expression):
Part C)

c) Based on the equation you wrote in part (b), what is the total number of minutes Irina will exercise in week 20 if she continues her exercise program beyond 6 weeks?

 

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

c)continued Show or explain how you got your answer.

Type your answer below:
Part A)

 

 

The diagram below shows the circular surface of a pond being designed for a park and a walkway around the pond. The diameter of the surface of the pond will be approximately 200 feet.

a) Based on the diameter, what will be the circumference, in feet, of the surface of the pond? (Use 3.14 for π.) Do not include units (ft) in your answer.

 

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

a)continued Show or explain how you got your answer. 

 

Type your answer below:
Part C)

b) What will be the area, in square feet, of the surface of the pond? Do not include units (ft2) in your answer.

 

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

b)continued Show or explain how you got your answer.

 

Type your answer below:
Part E)

c) As the diagram shows, a walkway 10 feet wide is being designed to go around the pond. What will be the area, in square feet, of the walkway? Do not include units (ft2) in your answer.

 

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

c)continued Show or explain how you got your answer.

Type your answer below:

 

 

The prices of some of the comic books sold in a collectors’ catalogue are listed below.

What is the mean price of these books?

Select one:

 

 

The area of a square is 49 square inches. What is the length of one side of the square?

Select one:

 

 

Which of the following is represented by the expression below?

5x+2

Select one:

 

 

Right triangle ABC and its dimensions are shown below.

Which of the following figures is similar to but not congruent to triangle ABC?

A) 

B) 

C) 

D) 

Select one:

 

 

Four friends earned money by painting a house. After they divided the money equally, they each received $315. Which of the following equations could be used to determine x, the total amount, in dollars, that the four friends earned by painting the house?

Select one:

 

 

At her job, Alexa is paid $12.00 per hour. When she drives her car for work, she is paid an additional 32.5¢ per mile. The expression below can be used to find the amount she is paid, in dollars, when she works for h hours and drives m miles in her car.

12h+0.325m

How much is Alexa paid on a day when she works  hours and drives 218 miles in her car?

Select one:

 

Which of the following is equivalent to the expression below?

(-a)(b-c)

Select one:

 

 

There are a total of 500 students at Lincoln Middle School. The table below shows the number of students who are members of 0, 1, 2, 3, or 4 clubs.

Based on the table, what percent of the 500 students are members of 2 or more clubs?

Select one:

 

 

Which bar graph below shows a mode of 7 hours of television viewed per week?

A) 

B) 

C) 

D) 

Select one:
Part A)

 

 

The individual weights, in pounds, of the members of a school’s wrestling team are shown in the box below.

 

180 163 165 165
171 177 191 168
180 203 196 175
162 155 178 195

 

a) What is the range of the weights?

 

 

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

a)continued Show or explain how you got your answer.

 

Type your answer below:
Part C)

b) Copy the diagram below onto your paper. Use the diagram to make a stem-and-leaf plot of the data above. Be sure to title your plot and provide a key.

Draw your plot 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 "Graph is on paper."

 

Type your answer below:
Part D)

c) What is the median weight for the data in your stem-and-leaf plot from part (b)?

 

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

c)continued Show or explain how you got your answer.

Type your answer below: