PSABDYBA - Grade 10 Mathematics Practice Test 2015
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The first five terms in a geometric sequence are shown below.


4, 12, 36, 108, 324, . . .


What is the next term in the sequence?

 

 

Select one:

 

Which of the following is equivalent to the expression below?


 

 

A. 

 

B. 

 

C. 

 

D. 

 

 

Select one:

 

The length, in centimeters, of a rectangle is represented by an expression, as shown in the diagram below.

 

 

Based on the diagram, which of the following is closest to the length, in centimeters, of the rectangle?

 

 

Select one:

 

Giselle surveyed 10 students at random about the number of people in their household and the number of times laundry is washed in their household each week. The results of her survey are shown in the table below.

 

 

Which of the following scatterplots best represents the data in the table?

 

 

 

Select one:

 

What is the value of the expression below?

 

 

 

Select one:

 

What are the solutions of the equation below?

 

 

Select one:

 

The line plot below shows the fuel efficiency, in miles per gallon, for the vehicles owned by a rental car company.

 

 

Based on the line plot, what is the median fuel efficiency, in miles per gallon, for the vehicles?

 

 

Select one:

 

Jay and Kalani graphed lines on a coordinate plane. Jay’s line is represented by the equation below.

 

 

Kalani’s line is parallel to Jay’s line.

 

Which of the following could be an equation of Kalani’s line?

 

Select one:

 

The first 2,450 people to attend a baseball game received a free hat. A total of 19,544 people attended the game.


Which of the following is closest to the fraction of people attending the game who received a free hat?

 

 

A. 

 

B. 

 

C. 

 

D. 

 

 

Select one:

 

Which of the following is equivalent to the expression below?

 

 

 

A. 

 

B. 

 

C. 

 

D. 

 

 

Select one:

 

The scatterplot below shows the relationship between the total monthly sales, in millions of dollars, at a retail store and the monthly commissions, in dollars, earned by one salesperson.

 

 

Based on the line of best fit for the scatterplot, which of the following is closest to the monthly commission that the salesperson could expect to make when the total monthly sales at the retail store are $0.8 million?

 

 

Select one:

 

Which of the following is equivalent to the expression below?

 

 

 

 

Select one:

 

Leah took a 5-day car trip. The table below shows the number of miles she drove on each day of her trip.

 

 

Of the total number of miles that Leah drove on her trip, which of the following is closest to the percentage she drove on day 1?

 

 

Select one:

 

Which of the following is equivalent to the expression below?

 

 

 

A. 

 

B. 

 

C. 

 

D. 

 

 

Select one:

 

The diagram below shows a right triangle and some of its measurements.

 

 

What is h, the height in meters of the triangle?

 

 

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

 

 

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

 

A doctor recorded the resting heart rate, in beats per minute, of each of her patients. The distribution of the heart rates for this group of patients is shown in the box-and-whisker plot below.

 

 

Based on the box-and-whisker plot, what was the median resting heart rate, in beats per minute, for this group of patients?

 

 

Do not include the units (beats per minute) in your answer. 

 

 

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

 

A student is approximating the locations of square roots and cube roots of integers on a number line.


a. Between which two consecutive integers on the number line is located?

 

 

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

Ex.  1,2

 

 

Type your answer below:
Part B)

Show or explain how you got your answer.

Type your answer below:
Part C)

b. What is the value of to the nearest tenth?

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 value of , where m is an integer, is located between 11 and 12 on the number line.


c. What could be the value of m? Show or explain how you got your answer.

Type your answer below:
Part F)

The value of , where n is an integer, is also located between 11 and 12 on the number line.


d. What could be the value of n? Show or explain how you got your answer.

Type your answer below:

 

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):

 

What is the slope of the line graphed below?

 

 

 

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

 

A puzzle in the shape of a rectangle has six pieces. The puzzle and some of its dimensions are shown in the diagram below.

 

 

a. What is the perimeter, in inches, of the puzzle?

 

 

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 B)

Show or explain how you got your answer.

Type your answer below:
Part C)

 

The shape of each piece of the puzzle is listed below.


• Pieces R and O are trapezoids.
• Pieces Y and G are rectangles.
• Piece B is a parallelogram.
• Piece P is a triangle.


b. What is the area, in square inches, of piece B?

 

 

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 D)

Show or explain how you got your answer.

Type your answer below:
Part E)

 

c. What is the area, in square inches, of piece R?

 

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 F)

Show or explain how you got your answer.

Type your answer below:
Part G)

 

d. What is the area, in square inches, of piece P?

 

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 H)

Show or explain how you got your answer.

Type your answer below:
Part A)

 

The first five figures in a pattern are shown below.

 

 

The pattern continues.


a. What is the number of pentagons in Figure 6?

 

 

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 represents the number of pentagons in Figure n.

 

# of pentagons = _____

 

Use n as your variable

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

Figure 1 is one dot. Figure 2 is composed of five dots connected by line segments.


c. What is the number of dots in Figure 6?

 

Do not include the units (dots) 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)

d. Explain how the number of dots in Figure 8 and the number of dots in Figure 9 can be used to determine the number of dots in Figure 10.

Type your answer below:

 

Ethan poured orange juice into each of four glasses and estimated that each glass contained 8 ounces, rounded to the nearest ounce.


Based on Ethan’s estimate, which of the following could be the actual total amount of orange juice in the four glasses?

 

 

Select one:

 

Four equations are shown below.

 

 

How many of the equations are true for all real values of e and f?

 

 

Select one:

 

The line graph below shows the change in the population of the state of Ohio, in twenty-year intervals, from 1900 to 2000.

 

 

During which interval on the graph did the population of Ohio increase at the fastest rate?

 

 

Select one:

 

A water tank in the shape of a right circular cylinder has a height of 40 feet and a radius of 15 feet, as shown in the diagram below.

 

 

Based on the diagram, what is the volume, in cubic feet, of the water tank?

 

A. 

 

B. 

 

C. 

 

D. 

 

 

Select one:

 

The circle graph below represents the number of cars in a parking lot and their colors.

 

 

If 25% of the cars in the parking lot are white, how many cars in the parking lot are silver?

 

 

Select one:

 

Which of the following scatterplots is most likely to have a line of best fit with a slope of 5?

 

 

 

Select one:

 

Two families buy refreshments at a concession stand.


• Each drink costs d dollars.
• Each snack costs s dollars.
• The Blake family buys 3 drinks and 2 snacks for $12.
• The Reese family buys 2 drinks and 4 snacks for $16.


What is the cost of one drink at the concession stand?

 

 

Select one:

 

The first term in a sequence is 24. Each term in the sequence after the first term is equal to half the previous term, plus 4.


Which of the following statements best describes the terms in the sequence as it progresses?

 

 

Select one:

 

Brandon plans to rent a truck. The cost to rent the truck is $30 for the first four hours plus $10 for each additional hour. He can spend no more than $60.


What is the maximum number of hours for which Brandon can rent the truck?

 

 

Select one:

 

A green can and a silver can are each in the shape of a right circular cylinder. The cans have the same radius, but the
height of the green can is 3 times the height of the silver can.


What is the ratio of the volume of the green can to the volume of the silver can?

 

 

Select one:

 

A student plotted point G(9, 1) and point H(7, 23) on a coordinate grid, as shown below.

 

 

The student will plot point F so that the midpoint of is point H. What will be the coordinates of point F?

 

 

Select one:

 

The box-and-whisker plot below shows the distribution of the times, in seconds, that members of a soccer team took to run one lap around a field.

 

 

Based on the box-and-whisker plot, within which time interval did 50% of the members of the soccer team most likely run one lap around the field?

 

 

Select one:

 

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

 

 

 

A. 

 

B. 

 

C. 

 

D. 

 

 

Select one:

 

The diagram below shows  and its image, , after a series of transformations in the coordinate plane.

 

 

What is the length, in units, of ?

 

 

Select one:
Part A)

 

The table below shows the numbers of students enrolled in different science classes at a high school.

 

 

There are a total of 1200 students enrolled in science classes at the high school. Each student is enrolled in only one science class.

 

a. What is the total number of students enrolled in chemistry class?

 

 

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. What percent of the total number of students enrolled in science classes are enrolled in chemistry class?

 

 

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 D)

Show or explain how you got your answer.

Type your answer below:
Part E)

A guidance counselor at the high school made a circle graph based on the information in the table. The central angle of one sector of the circle graph measures 90°.

 


c. Which science class is represented by the sector of the circle graph that has a central angle that measures 90°?

Select one:
Part F)

Show or explain how you got your answer.

Type your answer below:
Part G)

d. What is the degree measure of the central angle of the sector of the circle graph that represents the number of students in biology class?

 

 

Do not include the units (degrees) 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:

 

The diagram below shows a trapezoid and its measurements.

 

 

The trapezoid has an area of 60 square centimeters.


What is the value of x?

 

 

Select one:

 

A right circular cone has a volume of 39 cubic inches and a radius of  inches.

 

Which of the following is closest to the height of the cone?

 

 

Select one:

 

A computer software package is sold to small-business clients. The total cost of the software package is $500 for the first 10 computers on which the software is installed, plus $20 for installation on each additional computer.


Which statement best describes the function that models the relationship between the number of computers on which the software is installed and the cost of the software?

 

 

Select one:

 

A parallelogram is graphed on the coordinate grid below.

 

 

The parallelogram will be rotated 90° clockwise about the origin. Which of the following shows the location of the parallelogram after the rotation?

 

 

 

          

 

 

Select one:
Part A)

 

The expression below can be used to calculate the balance in a savings account for which an initial deposit of P dollars has been compounded each year for t years at interest rate r.

 

 

Elaine opened a savings account with a deposit of $1000. The interest on her account is compounded each year at a rate of 2%. Elaine will not make any additional deposits to or withdrawals from her account.


a. What will be the balance in Elaine’s account at the end of 1 year?

 

 

Do not include the 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. What will be the balance in Elaine’s account at the end of 3 years?

 

 

Round your answer to the nearest cent. 

 

Do not include the 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)

Pavel opened a savings account with a deposit of $800. The interest on his account is compounded each year at a rate of 2.5%. Pavel will not make any additional deposits to or withdrawals from his account.

 

 

c. Whose account, Elaine’s or Pavel’s, will have earned more interest at the end of 3 years?

Select one:
Part F)

Show or explain how you got your answer.

Type your answer below:
Part A)

 

Parallel lines q and m are cut by transversal lines j and k. The lines, and the measures of some of the angles created by the intersections of the lines, are shown in the diagram below.

 

 

a. What is the measure, in degrees, of ∠1?

 

 

Do not include the units (degrees) 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. What is the measure, in degrees, of ∠3?

 

 

Do not include the units (degrees) 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. What is the measure, in degrees, of ∠5?

 

 

Do not include the units (degrees) 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)

d. What is the measure, in degrees, of ∠6?

 

 

Do not include the units (degrees) 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: