PSA8DJF - Grade 8 Mathematics Practice Test 2007

Samir made a pattern by starting with 9 and repeatedly dividing by 3, as shown below.

What number belongs in the position indicated by the question mark?

Select one:

Between which two consecutive integers on the number line does  lie?

Select one:

The graph below shows the distance an airplane traveled over time.

Which of the following is closest to the average speed of the airplane?

Select one:

The minimum distance from Neptune to Earth is about 2.68 billion miles. What is 2.68 billion written in scientific notation?

Select one:

What is the value of the expression below?

|15|+|-10|

Select one:

The floor of the lobby of a theater is shaped like a rectangle, as shown below.

Before a performance starts, a velvet rope is stretched diagonally across the lobby. Which of the following best describes the diagonal length of the lobby?

Select one:

In the figure below, parallel lines l and m are intersected by transversal p.

If the measure of ∠1 is 50°, what is the degree measure of ∠2? Do not include units (°) in your answer.

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

A large jet has a wingspan of  yards, as shown below.

What is the wingspan, in feet, of the jet? 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 A)

Marisa drank one cup of milk and ate x small vanilla cookies for a snack. The linear equation below represents y, the total number of calories in Marisa’s snack.

y=12x+120

a) What is the y-intercept of the line represented by this equation?

Write your answer in the following format:

(x,y)

with no spaces.

Part B)

b) Explain what the y-intercept tells us about Marisa’s snack.

Part C)

c) What is the slope of the line represented by this equation?

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

d) Explain what the slope tells us about Marisa’s snack.

Part E)

e) If Marisa eats 9 small vanilla cookies, what is the total number of calories in her snack?

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

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

Which of the following graphs best represents the equation below?

y=-2x+1

A)

B)

C)

D)

Select one:

Mr. Lee has one mathematics class with 16 students and one with 24 students. He wants to divide each class into groups with the same number of students in each group. What is the greatest number of students Mr. Lee can have in each group?

Select one:

Which of the following is equivalent to the expression below?

3(1.50)+3(2.50)

Select one:

Abe tested 85 Brand X light bulbs to determine their life spans. The histogram below shows the results of his test.

What was the total number of Brand X light bulbs that had life spans greater than or equal to 1000 hours?

Select one:

Which of the following is equivalent to the expression below?

-2(x-3)

Select one:

Which of the following is equivalent to the expression below?

A)

B)

C)

D)

Select one:

The table below shows the relationship between the number of a term in a pattern and the value of that term. The same rule is used to find the value of the term in each row.

Based on the pattern shown in the table, which of the following expressions could represent the value of the nth term?

Select one:

Which of the following lines appears to have a y-intercept of 4 and a slope of 1/3?

A)

B)

C)

D)

Select one:

What is the value of the expression below?

Select one:

A shipping box is in the shape of a rectangular prism, as shown below.

• It has a length of 12 inches.

• It has a width of 6 inches.

• It has a volume of 288 cubic inches.

What is the height, in inches, of the shipping box? Do not include units (in) in your answer.

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

Mr. Johnson noted that 3/8 of the students at his school were in the band. He also noted that 1/2 of the students in the band were girls. What fractional part of the students at the school were girls in the band?

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

What is the value of x that makes the equation below true?

2x-3=11

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

Mora bought a box of cereal that was a rectangular prism with a length of 7.5 inches, a width of 2.5 inches, and a height of 11 inches, as shown below.

a) What is the total number of vertices of Mora’s cereal box?

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.

Part C)

b) What is the total number of faces of Mora’s cereal box?

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.

Part E)

c) Draw a net (flat pattern) that can be folded to form a box with the same dimensions as Mora’s cereal box. Be sure to label your drawing of the net with the lengths, in inches, of the line segments.

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."

What is the value of the expression below when x=3 and y=5?

2x2+3y

Select one:

Tuan answered 20 customer service calls in 3 hours. At this rate, how many customer service calls can Tuan answer in 7.5 hours?

Select one:

Intersecting sidewalks surround a playground shaped like a quadrilateral, as shown in the diagram below.

Based on the angle measures in the diagram, what is the value of x?

Select one:

In David’s school district, there is a positive correlation between the grade level and the weight of the mathematics textbook used by each grade. Which of the following scatterplots best represents this correlation?

A)

B)

C)

D)

Select one:

What is the slope of the line represented by the equation below?

Select one:
Part A)

A florist sells bouquets of carnations. He creates bouquets of different sizes by using 4 white carnations for every 3 pink carnations in a bouquet.

a) Write a proportion that can be used to find p, the number of pink carnations in a bouquet with w white carnations.

Part B)

b) What is the number of pink carnations in a bouquet with 16 white carnations?

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

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

Part D)

c) The florist made a bouquet with a total of 35 carnations in it. What is the total number of pink carnations in the bouquet?

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 answers.

Part F)

d) The florist made a bouquet with a total of 35 carnations in it. What is the total number of white carnations in the bouquet?

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

d)continued Show or explain how you got your answers.

Part A)

A rancher has two water tanks.

• Each water tank is in the shape of a cylinder.

• The base of each water tank is in the shape of a circle.

Diagrams of the two water tanks are shown below.

a) What is the circumference, in feet, of the base of Water Tank 1?(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.

Part C)

b) The circumference of the base of Water Tank 2 is 6.28 feet longer than that of Water Tank 1. What is the diameter, in feet, of the base of Water Tank 2? (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 D)

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

Part E)

c) How many more square feet does the base of Water Tank 2 cover than the base of Water Tank 1? (Use 3.14 for π.) 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.

Ruben surveyed 180 students in his school to find each student’s favorite winter sport. He recorded his results in the circle graph below.

Based on Ruben’s graph, what is the total number of students whose favorite sport was either snowboarding or snow skiing?

Select one:

Jaime used  tablespoons of lemonade mix to make 2 quarts of lemonade. At this rate, what is the total number of tablespoons of lemonade mix that Jaime will use to make 3 quarts of lemonade?

Select one:

Andrea went to an amusement park.

• The cost of admission was \$5.

• The cost for each ride was \$0.75.

The equation below shows c, Andrea’s total cost to go to the amusement park and go on r rides.

c=5+0.75r

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

Select one:

Ms. Simmons made the box-and-whisker plot below to show some statistics about the ages of the students in her class at a community college.

Which of the following best represents the median age of the students in her class?

Select one:

The directions for using a concentrated cleaning product say to add 3 capfuls of the product for every 2 quarts of water used. Which of the following equations can be used to calculate c, the number of capfuls of the product needed for 5 quarts of water?

Select one:

Tara wrote a set of three numbers.

• The mean of her set is 8.

• The range of her set is 14.

Which of the following could be Tara’s set of numbers?

Select one:

Franco has a bag with four letter tiles in it. All of the tiles are the same size and shape, as shown below.

One face of each tile has a letter on it, and the other faces are blank. Franco will select a tile at random, record the letter, and put the tile back. If he does this two times, what is the probability that Franco will select a T and then a B?

Select one:

Amanda rents space at an outdoor market. Each month she pays the owner of the outdoor market \$79 plus 10 percent of s, her total monthly sales. Which of the following expressions represents the total amount of money that Amanda pays the owner for one month?

Select one:

The chart below shows the low temperatures, in degrees Fahrenheit, outside Maya’s house for a seven-day period in December.

What is the median of the temperatures in the chart?

Select one:
Part A)

Brad made the Venn diagram below to show the number of cars in a parking lot that were red, had four doors, had a sunroof, or had any combination of those features. He left one number off his Venn diagram.

a) Describe what the 6 represents in the Venn diagram.

Part B)

b) A total of 20 cars in the parking lot were red, had four doors, had a sunroof, or had any combination of those features. What number should Brad put in place of the “?” in the center section of his Venn diagram?

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

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