PSABDHM7 - Grade 10 Mathematics Practice Test 2018
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#1 (10.N.1, 7.EE.B.3) 

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#2 (10.N.3, 8.NS.A.2)

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#3 (10.M.2, HSG-GMD.A.3)

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#4 (10.P.3, HSA-APR.A.1)

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#5 (10.P.5, HSA-REI.B.4)

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#6 (10.N.4, 7.EE.B.3)

A waiter received a 15% tip for a restaurant bill of $59.14. Which of the following estimates is closest to the tip the waiter received? 

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#7 (10.D.1, HSS-ID.A.2)

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#8 (10.G.7, HSG-GPE.B.6)

 

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#9 (10.P.4, HSA-SSE.A.2)

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#10 (10.N.3, 8.NS.A.2)

A rug in the shape of a square has an area of 33 square feet. Which of the following estimates is closest to the length of each side of the rug?

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#11 (10.D.2, HSS-ID.B.6)

A set of data is shown in the scatterplot below.

Which of the following equations best represents the line of best fit for the data in the scatterplot?

 

Select one:

#12 (10.M.2, 7.G.B.6)

A parallelogram and some of its dimensions are shown below.

The area of the parallelogram is 90 square inches. What is h, the height in inches of the parallelogram?

     

 

 

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#13 (10.N.1, HSN-RN.A.2)

 

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#14 (10.P.8, HSA-REI.C.6)

Two groups are going on a trip toa theater. The first group has 30 students and 4 adult chapterones. The second group has 25 students and 4 adult chaperones. The cost, in dollars, for each student ticket, s, and each adult ticket, a, can be determine using the system of equations below.

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#15 (10.N.2, 7.EE.B.3)

 

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

#16 (10.D.1, HSS-ID.A.1)

The line plot below shows the number of red items of clothing owned by each student in a class.



What is the median number of red items of clothing owned by the students in the class?

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

#17 (10.N.2, 7.EE.B.3)

Stacey will paint the four walls of a room. Two walls each have a length of 20 feet, and the other two walls each have a length of 16 feet. 

The expression below represents the total perimeter, in feet, of the room.

         

      a. What is the total perimeter, in feet, of the room?

 

 

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)

Show or explain how you got your answer.

Type your answer below:
Part C)

The room has 2 windows and 3 doors. Each window is 4 feet high and 3 feet wide, and each door is 7 feet high and 3 feet wide. 

The expression below represents the total area, in square feet, of the windows and doors in the room.

        

       b. What is the total area, in square feet, of the windows and doors in the room?

 

 

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)

Show or explain how you got your answer.

Type your answer below:
Part E)

The height of each of the walls in the room is 8 feet. Stacey will not paint the windows or doors.

The expression below represents the total area, in square feet, that Stacey will paint.

 

       c. What is the total area, in square feet, that Stacey will paint?

 

 

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)

Show or explain how you got your answer.

Type your answer below:
Part G)

Each gallon of paint covers a total area of 300 square feet. Stacey will cover the walls with 2 layers of paint.

The expression below represents the total number of gallons of paint Stacey will need to paint the room with 2 layers of paint.

      

 

Each gallon of paint costs $26. Stacey must purchase full gallons of paint.

 

     d. What is the total cost, in dollars, of the gallons of paint Stacey will need to purchase to paint the room?

 

 

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 H)

Show or explain how you got your answer.

Type your answer below:

#18 (10.G.4, HSG-SRT.A.2)

Rectangle ABCD is similar to rectangle EFGH. The rectangles and some of their dimensions are shown in the diagram below.

 

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

 

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):

#19 (10.P.6, HSA-REI.B.3)

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

#20 (10.P.1, HSF-LE.A.2)

Lionel wrote an arithmetic sequence. The first five terms of the sequence are shown below.

        

a. What is the next term of Lionel'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 Lionel's sequence.

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

Bella also wrote an arithmetic sequence. Each term in Bella's sequence is equal to three times the corresponding term of Lionel's sequence.

 

c. Write an expression that can be used to find the mth term in Bella's sequence.

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

d. What is the 20th term in Bella's sequence?

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 A)

#21 (10.P.2, HSF-IF.B.4)

A company packages fruit basket of different weights and ships them to customers. The company charges a flat fee for packaging the basket. The total packaging and shipping cost in dollars, y, of a fruit basket weighing x pounds is represented by the line on the graph below.

a.  What is the y-intercept of the line on the graph?

 

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

b. What does the y-intercept of the line represent in this situation?

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Part C)

c. What is the slope of the line on the graph?

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)

d. What does the slope of the line represent in this situation?

Type your answer below:
Part F)

e. Write an equation that represents the line of the graph.

 

Complete the equation:     y = _____________

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

f. Use the equation you wrote in part (e) to determine the weight, in pounds, of hte heaviest fruit basket that could be packages and shipped for $50.

 

Do not include units (lbs) 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:

#22 (10.P.8, HSA-REI.C.6)

Rasha and Scott went to the bakery. Rasha bought 4 plain bagels and 2 chocolate donuts for a total of $8.70. Scott bought 3 chocolate donuts for a total of $2.55. What is the cost of one plain bagel at the bakery.

 

 

Select one:

#23 (10.P.1, HSF-LE.A.2)

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#24 (10.G.9, HSG-CO.A.2)

Quadrilateral RSTU is graphed on the coordinate grid below.

Quadrilateral RSTU will be reflected over the y-axis and translated 4 units down. What will be the coordinates of the image of point S after the transformations?

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#25 (10.D.1, HSS-ID.A.1)

The box-and-whisker plot below shows the distribution of the numbers of calories per serving for a selection of breakfast cereals.

       

Based on the box-and-whisker plot, what is the median number of calories per serving for the breakfast cereals?

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#26 (10.M.2, HSG-GMD.A.3)

The diagram below shows a cup in the shape of a right circular cone and some of its measurements.

Which of the following is closest to the volume, in cubic centimeters, of the cup?

 
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#27 (10.M.2, HSG-GMD.A.3)

 

The volume of a right circular cylinder is 1696 cubic centimeters. The height of the cylinder is 15 centimeters. Which of the following is closest to the radius of the right circular cylinder?

 

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#27 (10.P.7, HSA-CED.A.1)

Melissa owns a catering company. For lunch and dinner parties, she serves appetizers before each meal. The number of appetizers Melissa serves is directly proportional to the number of guests at the party.

  • For lunch parties, she serves 3 appetizers per guest.
  • For dinner parties, she serves 5 appetizers per guest.

When serving 22 guests, what is the difference of the number of appetizers she serves for dinner and the number of appetizers she serves for lunch?

 

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#29 (10.D.1, HSS-ID.B.6)

A physician recorded the resting heart rates of some of her patients. She also recorded the average number of hours each of those patients exercises daily. She will make a graphical display of the data to help determine whether the two variables are associated.

Which of the following displays should the physician make?

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#30 (10.N.1, 7.NS.A.3)

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#31 (10.P.7, HSF-LE.A.2)

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#32 (10.G.5, HSG.SRT.C.8)

The distance from the base of a flagpole to a point on the ground is 24 feet. The flagpole has a height of 18 feet, as shown in the diagram below.



What is x, the distance from the top of the flagpole to the point on the ground?

Select one:

#33 (10.D.1, HSS.ID.A.1)

In a community college class, the interquartile range of student ages is 20 years, and the median student age is 30 years. Which of the following box-and-whisker plots could represent the distribution of the ages of the students in the class?

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#34 (10.M.2, HSG-GMD.A.3)

A right square pyramid and its dimensions are shown below.

Which of the following is closest to the volume of the right square pyramid?

Select one:

#35 (10.D.1, 6.SP.B.4)

The percentage of Deatrice’s income that she budgets each month for different expenses is shown in the circle graph below.



Deatrice budgets $900 for food each month. Based on the circle graph, what is the total amount she budgets for housing each month?

Select one:
Part A)

#36 (10.G.6, HSG-SRT.C.6)

Kite PQRS has diagonals that intersect at point T. The kite and some of its angle measures are shown in the diagram below.

Kite PQRS has diagonals that intersect at point T. The kite and some of its angle measures are shown in the diagram below.

The length of  is 20 centimeters.

             a. What is the length, in centimeters, of ?

 

Do not include units (cm) 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 length, to the nearest tenths of a centimeter, of ?

 

Do not include units (cm) 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 length, to the nearest tenths of a centimeter, of ?

 

Do not include units (cm) 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 perimeter, to the nearest tenths of a centimeter, of kite PQRS?

 

Do not include units (cm) 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:

#37 (10.N.1, 7.NS.A.3)

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#38 (10.P.7, HSA-CED.A.1)

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#39 (10.G.3, 8.G.A.5)

Parallel lines k and m are intersected by lines p and q. The diagram below shows the lines and the measures of some of the angles formed by the intersections of the lines.

Lines kp, and q intersect at point R.

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

Select one:

#40 (10.D.2, HSS-ID.B.6)

The scatterplot below shows the weekly incomes, in dollars, for 15 individuals and the number of years of higher education each individual completed.



Which of the following graphs best represents the line of best fit for the data shown in the scatterplot?

Select one:
Part A)

#41 (10.D.1, HSS-ID.A.2)

The histogram below shows the heights, in inches, of the students in Landon's class.

a. How many of the students in Landon's class are at least 65 inches tall?

 

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.

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Part C)

b.  What fraction of the students in Landon's class are between 65 and 68 inches tall? 

Type your answer below (fraction):
Part D)

Show or explain how you got your answer.

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Part E)

c. What could be the median height of the students in Landon's class?

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)

Landon's teacher will add her height to the data. She is 65 inches tall.

  1. Will the new median height be less than, equal to, or greater than the median height you found in part (c)? 
Select one:
Part H)

Explain your reasoning.

Type your answer below:
Part A)

#42 (10.M.3, 7.G.B.6)

A small cube and a large cube with edge lengths represented by expressions are shown in the diagram below.

a. What is the value of x?

 

Do not include 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)

b. What is the surface area, in square inches, of the small cube?

 


Do not include units (in2) 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 surface area of the large cube is how many times the surface area of the small cube? 

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.

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Part G)

d. The volume of the large cube is how many times the volume of the small cube?

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: