PSAH7G - Grade 8 Mathematics Practice Test 2005
Assign to Canvas
Assign to Google Classroom
To win a game, Yepa must get a sum of 8 on her next two spins of the arrow on the spinner shown above. All the sections of the spinner are of equal size.

What is the probability that the results of Yepa's next two spins will have a sum of 8?
Type your answer below (mathematical expression):
The results of four games played by a school's baseball team are shown in the table below

Scores of the School Baseball Team's Four Games

    Game       Home Team    Visiting Team 
        1             9             1
        2             6             8
        3             2             5
        4             7             6


In which game was the positive difference the least between the winning team and the losing team?
Type your answer below:

What is the solution to the equation shown below?

Modified from EngageNY ©Great Minds Disclaimer

Type your answer below:

If the first number in a pattern is 50 and to go from one number in the pattern to the next number, the rule is to divide by 5, what is the fourth number in the pattern?

Modified from EngageNY ©Great Minds Disclaimer

Type your answer below (mathematical expression):
Which of the following numbers is a solution for the inequality shown below?

7(2x - 3) > 49

Select one:

In the diagram below, triangle ABC and triangle DEF are similar triangles with the dimensions shown, in units.

What is the length, in units, of line segment EF?

Modified from EngageNY ©Great Minds Disclaimer

Type your answer below (mathematical expression):

Three friends played a video game. Naomi scored the greatest number of points.
The chart below shows the results of the game.

Results of Video Game
Player Number of Points
Naomi 4,500
Darla 2,000
Isaac 3,500


Type in the fraction that represents Naomi's score out of the total points.

Modified from EngageNY ©Great Minds Disclaimer

Type your answer below (mathematical expression):

Which of the below is not an irrational number?

Select one:
Chan is designing a new swimming pool that will have a length of 34 feet. He plans to make a scale drawing of the pool.
In his drawing, 1/4 inch represents 1 foot. What should be the length, in inches of Chan's scale drawing of the pool?

Modified from EngageNY ©Great Minds Disclaimer

Type your answer below (mathematical expression):
If x = 2 and y = 4, what is the value of the following expression?

x - 5y
Type your answer below (mathematical expression):

The line plot below shows the number of people in each student's household for a class of students.
What is the mean number of people in households for this class of students?

Type your answer below (mathematical expression):

In a recent year, there were 1682 students enrolled in Amherst College in Amherst, Massachusetts. The ratio of the number of students to the number of faculty members was approximately 15:2

Based on this ratio, what is the closest whole number of faculty members that year?

Type your answer below (mathematical expression):
The number 18 has a total of 6 factors: 1, 2, 3, 6, 9, and 18.
What is the total number of factors that the number 130 has?
Type your answer below (mathematical expression):
Part A)
The chart below shows the cost of the four different-sized boxes of chicken nuggets that are available at The Chicken Shack.

Box Sizes and Costs
of Chicken Nuggets
Box Size Number of
Nuggets in Box
Cost of Box
(dollars)
Kid 5 1.29
Small 9 2.09
Medium 15 3.19
Large 22 4.99


Which of the following box sizes has the least cost per nugget?
Select one:
Part B)

What is the cost per nugget of the Medium box?

 

Round your answer to the nearest cent.

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

On Monday, Chris and Ravi went to the gym. Chris plans to return every second day. Ravi plans to return every fourth day.


If they follow their plans, what is the next day of the week they will both be at the gym on the same day?

Type your answer below:
What is the solution to the equation above?
Type your answer below (mathematical expression):

The graph below shows a family's annual expenses. If the family's annual income is $40,000, what is the family's annual expense for housing?

Type your answer below (mathematical expression):
The roads connecting the three towns on the above map form a right triangle. Two of the distances are given.
Based on the distances given on the map, what is the distance between Maple and Sable?
Type your answer below (mathematical expression):

Simplify the following expression.

Select one:

Which of the lines graphed below has the greatest positive slope?

Select one:

Kristen was x inches tall a year ago.

Since then, she has grown taller and is now y inches tall.


Write an expression that represents the number of inches Kristen grew during the past year.

Modified from EngageNY ©Great Minds Disclaimer

Type your answer below (mathematical expression):

Sari deposited $150.00 in a savings account that earns interest at a rate of 6% compounded annually.
The table below shows her account balance at the end of each of three years.

End-of-Year Account Balances
Year Balance
1    $159.00   
2 $168.54
3 $178.65



If Sari makes no additional deposits or withdrawals, what will be her account balance at the end of year 6?

Type your answer below (mathematical expression):

The stem-and-leaf plot below shows the number of people using a skateboard park on 13 different days.

What is the range of the data in the stem-and-leaf-plot?

Type your answer below (mathematical expression):

The top coordinate plane shown below has a figure in the third quadrant. Which of the other graphs shows the same figure after it has been reflected across the y-axis and then reflected across the x-axis?

Select one:

The scatterplot below shows the ages and heights of 11 players on the school football team. Each dot represents one player.

What is the total number of 14-year-olds who are more than 60 inches tall?

Modified from EngageNY ©Great Minds Disclaimer

Type your answer below (mathematical expression):
What is the value of the following expression?

|-5| + |-5| - |-3|

Modified from EngageNY ©Great Minds Disclaimer

Type your answer below:
Part A)

Jian made some designs using equilateral triangles, as shown above. He noticed that as he added new triangles, there was a relationship between n, the number of triangles, and p, the outer perimeter of the design.

 

The table below lists the outer perimeters for the designs shown.

  Number of Triangles     1     2     3     4     ...     n  
  Outer Perimeter  
(in units)
  3     4     5     6     ...     p  

 

a) If the pattern is continued, what would be the outer perimeter of a design using 10 triangles?

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

 Show or explain how you got your answer.

Type your answer below:
Part C)

b)  Write a rule for finding p, the outer perimeter for a design that uses n triangles.

 

Type in  the expression that goes in the blank for:

 

p = _______________

 

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

Show or explain how you got your answer.

Type your answer below:
Part E)

c) Which of the scatterplots below shows the relationship between the number of triangles and the outer perimeter of the design?

Select one:
Part A)

The diagram below shows right triangle ABC drawn on a unit grid.

What is the length of AC?

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

 

Show or explain how you got your answer. 

Type your answer below:
Part C)

b) What is the area, in square units, of triangle ABC?

 

Do not include units (units2) 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.

Type your answer below:
Part A)

The Scale Map below shows a campground in a state park.


 

a)Based on the scale, what is the distance, in miles, from the park entrance to Antler Bluff?

 

Do not include units (miles) in your answer.

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

Show or explain how you got your answer.

Type your answer below:
Part C)

 

 b) Based on the scale, what is the area, in square miles, of the campground? Round your answer to the nearest tenth.

 

Do not include units (miles2) in your answer.

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

Show or explain how you got your answer.

Type your answer below:
Part A)

Glenn bowls in a bowling league every Saturday morning. Last Saturday, the scores from Glenn's first 3 bowling games were 141, 128, and 157.



a)What is the mean of the scores from Glenn's first 3 games?

 

Solve the problem on your piece of paper, then explain here how you got your answer. The next question will ask you for the answer.

Type your answer below:
Part B)

Glenn bowls in a bowling league every Saturday morning. Last Saturday, the scores from Glenn's first 3 bowling games were 141, 128, and 157.



a)What is the mean of the scores from Glenn's first 3 games?

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

Glenn bowls in a bowling league every Saturday morning. Last Saturday, the scores from Glenn's first 3 bowling games were 141, 128, and 157.

 

b)Glenn will bowl a fourth game. What will he have to bowl in his fourth game to have a mean of 150 for the four games?

 

Solve the problem on your piece of paper, then explain here how you got your answer. The next question will ask you for the answer.

Type your answer below:
Part D)

Glenn bowls in a bowling league every Saturday morning. Last Saturday, the scores from Glenn's first 3 bowling games were 141, 128, and 157.

 

b)Glenn will bowl a fourth game. What will he have to bowl in his fourth game to have a mean of 150 for the four games?

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

Glenn bowls in a bowling league every Saturday morning. Last Saturday, the scores from Glenn's first 3 bowling games were 141, 128, and 157.

 

c)Each player in Glenn's bowling league is given a handicap, which allows players of different abilities to compete equally. A player's handicap is determined with the following formula

A player's handicap is equal to 80 percent of the difference between the player's average (mean) and 220.

 

Miguel is Glenn's teammate. If Miguel's average (mean) is 130, what is his handicap?

 

Solve the problem on your piece of paper, then explain here how you got your answer. The next question will ask you for the answer.

Type your answer below:
Part F)

Glenn bowls in a bowling league every Saturday morning. Last Saturday, the scores from Glenn's first 3 bowling games were 141, 128, and 157.

 

c)Each player in Glenn's bowling league is given a handicap, which allows players of different abilities to compete equally. A player's handicap is determined with the following formula:

A player's handicap is equal to 80 percent of the difference between the player's average (mean) and 220.

 

Miguel is Glenn's teammate. If Miguel's average (mean) is 130, what is his handicap?

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

 

The cash register is broken, and Andrea must calculate the price of the CD using only a calculator.

 

a)What is the sale price of the CD?

 

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 B)

Show or explain how you got your answer.

Type your answer below:
Part C)

 

b) Andrea needs to add 7% sales tax to the sale price of the CD. What should Andrea charge the customer for the CD, including tax?

 

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.

Type your answer below:
Part E)

 

c) The customer told Andrea that she could save time by just taking 8% off the regular price of the CD, because 15%-7% is 8%. Is the Customer right?  

 

 

Select one:
Part F)

Show or explain how you got your answer.

Type your answer below: