PSABDXJQ - Grade 10 Mathematics Practice Test 2017
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The first four terms in a linear sequence are shown below.


1, 7, 13, 19, . . .


What is the sixth term in the sequence?

 

 

Select one:

 

The length, in centimeters, of a diagonal of a rectangle is represented by the expression below.

 

 

Which of the following is closest to the length of the diagonal?

 

 

Select one:

 

The line plot below shows the number of goals scored by a soccer team in each of 12 games.

 

 

Based on the line plot, what is the median number of goals scored by the team in the 12 games?

 

 

Select one:

 

Line g has a slope of . Which of the following equations represents a line that is perpendicular to line g?

 

A. 

 

B. 

 

C. 

 

D. 

 

 

Select one:

 

An art museum has two types of pieces of art: paintings and sculptures.

 

  • The museum has 2,009 paintings.
  • The museum has 492 sculptures.

 

Which of the following is closest to the fraction of the museum’s pieces of art that are paintings?

 

 

A. 

 

B. 

 

C. 

 

D. 

 

 

Select one:

 

A right circular cylinder has a diameter of 10 inches and a height of 3 inches. What is the volume, in cubic inches, of the cylinder?

 

A. 

 

B. 

 

C. 

 

D. 

 

 

Select one:

 

Which of the following is equivalent to the expression below?

 

 

A. 

 

B. 

 

C. 

 

D. 

 

 

Select one:

 

Which of the following is equivalent to the expression below?

 

 

A. 

 

B. 

 

C. 

 

D. 

 

 

Select one:

 

The approximate areas of four oceans are shown in the table below.

 

 

The area of Lake Superior is approximately 82,100 square kilometers. Based on the table, which ocean has an area that is
closest to 1,000 times the area of Lake Superior?

 

 

Select one:

 

The histogram below shows the lengths, in minutes, of the movies shown at Noble Cinema last month.

 

 

Based on the histogram, which of the following is true?

 

 

Select one:

 

What is the value of the expression below?

 

 

 

Select one:

 

What are the solutions of the equation below?

 

 

 

Select one:

 

The volume of a cube is 24 cubic inches. Which of the following estimates is closest to the length of each edge of the cube?

 

 

Select one:

 

Which of the following best represents the graph of the equation below?

 

 

A.

 

B. 

 

C.

 

D.

 

 

Select one:

 

What is the value of the expression below?

 

 

 

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

 

The perimeter of a square is 48 inches. What is the area, in square inches, of the square?

 

 

Do not include the units (square inches) in your answer. 

 

 

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

 

Triangle KLM is shown on the coordinate grid below.

 

 

Copy the axes, the labels, and triangle KLM exactly as shown onto the grid in your Student Answer Booklet.

 

a. On the grid you copied into your Student Answer Booklet, draw triangle K′L′M′, the image of triangle KLM after it has been translated 8 units right and 3 units down. Be sure to label the vertices.

 

 

Draw your graph on paper, take a picture, and upload it using the 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 your grid, draw triangle K′′L′′M′′, the image of triangle K′L′M′ after it has been reflected over the x-axis. Be sure to label the vertices.

 

 

Draw your graph on paper, take a picture, and upload it using the 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 C)

Point P(x, y) lies on triangle KLM. Point P′′ is the image of point P after the transformations from part (a) and part (b) have been completed.

 

c. Write an expression that represents the y-coordinate of point P′′ in terms of y.

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

Show or explain how you got your answer.

Type your answer below:

 

The first four terms in a geometric sequence are shown below.

 


What is the next term in the sequence?

 

 

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

 

The line graph below shows the total number of miles traveled by a car during a 7-year period.

 

 

Based on the line graph, between which two consecutive years was the rate of change, in miles traveled per year, the greatest?

 

 

Write your answer as two numbers separated by a comma without any spaces. 

Ex.    1,2

 

 

 

Type your answer below:
Part A)

 

Stuart wrote the expression shown below.

 

 

a. What is the value of Stuart’s expression?

 

 

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. In your Student Answer Booklet, insert one set of parentheses into Stuart’s expression so that the value of the expression is undefined. Show or explain how you got your answer.

 

 

 

 

Type your answer below:
Part D)

Talia wrote the expression shown below.

 

 

Talia found the value of her expression using the following steps:


Step 1:


Step 2:


Step 3:


Step 4:


Step 5:


c. Is the value that Talia found for her expression correct?

Select one:
Part E)

Explain your reasoning.

Type your answer below:
Part F)

Talia removed the set of parentheses from her expression to create the new expression shown below.

 

 

d. What is the value of Talia’s new expression?

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

Show or explain how you got your answer.

Type your answer below:
Part A)

 

The table below shows the number of full-time employees at eight guitar-production companies and the number of guitars produced by each company last year.

 

 

On the grid in your Student Answer Booklet, copy the title, the axes, and the labels exactly as shown below.

 

 

a. On your grid, create a scatterplot using the data from the table.

 

 

Draw your scatterplot on paper, take a picture, and upload it using the upload icon 

 

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

 

 

Type your answer below:
Part B)

b. On your scatterplot, draw a line of best fit for the data.

 

 

Draw your scatterplot on paper, take a picture, and upload it using the upload icon 

 

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

Type your answer below:
Part C)

c. Write an equation that represents the line of best fit you drew in part (b). Show or explain how you got your answer.

 

 

Write the equation using the "WIRIS editor" button 

Type your answer below:
Part D)

d. Use your equation to estimate the number of full-time employees needed if a company plans to produce 1000 guitars in a year. Show or explain how you got your answer.

Type your answer below:

 

Shirley is saving money to buy a computer.


• The computer she will buy costs $1,200.
• She has already saved $300.


Shirley will save another $60 each week until she has saved enough money to buy the computer.


How many weeks will it take Shirley to save enough money to buy the computer?

 

 

Select one:

 

The diagram below shows circle with radii and .

 

 

The measure of  is 35°.


What is the measure of ?

 

 

Select one:

 

Muriel and Ramon bought school supplies at the same store.


• Muriel bought 2 boxes of pencils and 4 erasers for a total of $11.
• Ramon bought 1 box of pencils and 3 erasers for a total of $7.


Which of the following systems of equations can be used to find p, the price in dollars of one box of pencils, and e, the price in dollars of one eraser?

 

A. 

      

 

B. 

      

 

C. 

   

 

D. 

    

 

 

Select one:

 

The number of chaperones needed for a school field trip is directly proportional to the number of students going on the field trip. If 96 students are going on the field trip, 12 chaperones are needed.


How many chaperones are needed if 120 students are going on the field trip?

 

 

Select one:

 

The box-and-whisker plot below shows the distribution of student scores on a history test.

 

 

Based on the box-and-whisker plot, what is the median history test score?

 

 

Select one:

 

A store sells different-colored pens. The circle graph below represents all pens for sale at the store.

 

 

There are 200 black pens for sale at the store. How many blue pens are for sale at the store?

 

 

Select one:

 

The diagram below shows a 20-foot ladder leaning against a wall. The bottom of the ladder is 10 feet from the base of the wall.

 

 

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

 

 

Select one:

 

On a coordinate grid, point H is the midpoint of TW.


• Point H has coordinates (4, -4).
• Point W has coordinates (12, 2).


What are the coordinates of point T?

 

 

Select one:

 

The height of a flagpole, rounded to the nearest foot, is 42 feet. Which interval shows the possible values of h, the actual height in feet of the flagpole?

 

A. 

 

B. 

 

C. 

 

D. 

 

 

Select one:

 

The length of a rectangular patio is three times its width. The area of the patio is 432 square feet.


What is the length, in feet, of the patio?

 

 

Select one:

 

Which of the following pairs of numbers are additive inverses of each other?

 

 

Select one:

 

The scatterplot below shows the relationship between the values of 12 homes and the monthly rent charged for each home.

 

 

Based on the line of best fit for the scatterplot, what is the approximate value of a home that has a monthly rent of $900?

 

 

 

Select one:

 

A café uses three different types of bread and three different fillings to make sandwiches. The table below shows the number of sandwiches the café made yesterday.

 

 

What percent of the turkey sandwiches made yesterday were made with wheat bread?

 

 

Select one:

 

Which of the following scatterplots shows a strong negative correlation between x and y?

 

 

 

Select one:
Part A)

 

Livy and Zack are writing arithmetic sequences. The first three terms of Livy’s sequence are shown below.

 

4, 7, 10, . . .

 

a. What is the common difference for Livy’s sequence?

 

 

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. Write an expression that can be used to find the nth term of Livy’s sequence.

 

 

In your expression use n as your variable.

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

The nth term of Zack’s sequence is three times the nth term of Livy’s sequence.

 

c. What is the 5th term of Zack’s sequence?

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

Show or explain how you got your answer.

Type your answer below:
Part F)

d. Write an expression that represents the difference of the nth term of Zack’s sequence and the nth term of Livy’s sequence.

 

 

In your expression use n as your variable.

 

Type your answer below (mathematical expression):

 

In the diagram below, circle H has a radius of 5 inches, and circle J has a radius of 15 inches.

 

 

The area of circle J is how many times the area of circle H?

 

 

Select one:

 

Which of the following equations is true for all rational values of f, g, and h?

 

A. 

 

B. 

 

C. 

 

D. 

 

 

Select one:

 

A right triangle has one angle that measures 70°. What is the measure of the other acute angle in the triangle?

 

 

Select one:

 

The diagram below shows a trapezoid and some of its dimensions.

 

 

What is the area, in square centimeters, of the trapezoid?

 

 

Select one:
Part A)

 

Three objects are shown below: a sphere, a right circular cylinder, and a right circular cone.

 

 

The radius, r, of each of the objects is 10 inches.

 

a. What is the volume, in cubic inches, of the sphere?

 

 

Round your answer to the nearest tenth. 

 

 

Do not include the units (cubic 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.

Type your answer below:
Part C)

The height, h, of the cylinder is 2 times its radius.


b. What is the volume, in cubic inches, of the cylinder?

 

 

Round your answer to the nearest tenth.

 

 

Do not include the 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.

Type your answer below:
Part E)

The volume of the cone is equal to the volume of the cylinder.


c. What is the value of k, the height in inches of the cone?

 

 

Do not include the 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.

Type your answer below:
Part G)

The radius of the sphere will be changed so that the volume of the sphere will be equal to the volume of the cylinder.


d. By how many inches would the radius of the sphere have to change for its volume to be equal to the volume of the cylinder?

 

 

Round your answer to the nearest hundredth.

 

 

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

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.

Type your answer below:
Part A)

 

Allen wants to add to his existing collection of 300 bottles. Starting today, he will collect 25 bottles each week.


a. What will be the total number of bottles in Allen’s collection after 4 weeks?

 

 

Do not include the units (bottles) 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. Write an expression to represent the total number of bottles in Allen’s collection after w weeks.

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

c. After how many weeks will Allen have a total of exactly 1,000 bottles in his collection?

 

 

Do not include the units (weeks) in your answer. 

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

Show or explain how you got your answer.

Type your answer below:
Part F)

Allen’s goal is to have between 1,500 and 1,600 bottles in his collection.

 

d. Write and solve a compound inequality to determine the number of weeks it will take Allen to reach his goal. Show your work.

 

 

Write  and solve the inequality using the "WIRIS editor" button 

Type your answer below: