Free Printable PSSA Review Packet 22-23

Worksheets

PSSA Review Packet 22-23

Total questions: 70

Worksheet time: 2hrs 45mins

Name

Class

Date

1. The line plot below shows the weights, in pounds, of twelve bowling balls on a rack. Which statement about the weights of these bowling balls is true?

The weights cluster from 8 pounds to 10 pounds, and 8 pounds is an outlier.

The weights cluster from 11 pounds to 15 pounds, and 8 pounds is an outlier.

The weights cluster from 8 pounds to 10 pounds, and 16 pounds is an outlier.

The weights cluster from 11 pounds to 15 pounds, and 16 pounds is an outlier.

2. Carter is a quarterback for a football team. The list below shows the number of yards his team gained on his last 10 completed passes.

6 3 4 -2 -1 6 5 0 3 3

Which line plot also shows the number of yards Carter’s team gained on his last 10 completed passes?

3. Which line plot shows a data distribution that has the same range and interquartile range?

4. Lara runs 2 miles each day. She uses the equation shown below to help determine some information about her running.

2x = y

What do the variables x and y most likely represent in Lara’s equation?

The variable x represents the total number of miles Lara runs in y days.

The variable y represents the total number of miles Lara runs in x days.

The variable x represents Lara’s rate, in miles per hour, and the variable y represents the total time, in hours, she runs each day.

The variable y represents Lara’s rate, in miles per hour, and the variable x represents the total time, in hours, she runs each day.

5. Mr Kusick unpacks full boxes of textbooks to get ready for the school year. Each full box contains the same number of textbooks. The table shows the numbers of textbooks that Mr Kusick unpacks from different numbers of boxes.

Which statement about this relation is true?

The number of boxes is the dependent variable because it is the first column in the table.

The number of boxes is the dependent variable because it is the smaller number in each row.

The number of textbooks is the dependent variable because each number of textbooks is a multiple of the number of boxes in the same row.

The number of textbooks is the dependent variable because it is determined by the number of boxes Mr. Kusick unpacks.

6. A pizza was cut into equal slices. Ben ate 4 of the slices. The amount Ben ate was 2/3 of the whole pizza. Which equation represents a way to find the total number of slices that were in the whole pizza?

$\frac{2}{3}\cdot x=4$

$4\cdot x=\frac{2}{3}$

$\frac{2}{3}+x=4$

$x=4\cdot\frac{2}{3}$

7. An inequality is shown below.

$x<20$

Which equation has a solution that satisfies the inequality?

$\frac{3}{4}x=12$

$x=3^3-7$

$21.2=x-12\frac{1}{2}$

$x=2.2\cdot6+2^3$

8. Lynda builds a wooden box in the shape of a rectangular prism. The box has no cover. The box is 12 inches long, x inches wide, and 24 inches high. The expression below can be used to determine the surface area, in square inches, of the box.

48x + 12x + 2 · 288

What is the coefficient of the term in the expression that represents the area of the bottom of the box?

288

9. Which expression is equivalent to $2\times2\times2\times3\times3\times3\times3\times7\times7?$

$2^3\times3^4\times7^2$

$3^2\times4^3\times2^7$

$8^3\times81^4\times49^2$

10.

10. Which statement explains why $-2x+4y=7$ is not an expression?

An expression cannot have an equals sign.

An expression cannot have an operational symbol.

An expression cannot have any negative numbers.

An expression cannot have more than one variable.

11.

11. Mr. Li's yard is in the shape of a square. Each side has a length of 40 feet. Mr. Li uses 20% of the area of the yard for a garden. What is the area, in square feet, of the garden in Mr. Li's yard?

320

800

12.

12. Mike buys 4 packs of baseball cards for a total of $8. Each pack contains 10 baseball cards. How much does Mike pay for each baseball card?

$0.05

$0.20

$3.20

$5.00

13.

13. Jamal and Lucy each build model airplanes.

* Jamal had 10 model airplanes. After building some model airplanes last month, he had 18 model airplanes.

* Lucy also had some model airplanes. Last month, she built 12 model airplanes. After that, she had 20 model airplanes.

Which statement describes the ratio of the number of model airplanes Jamal built last month to the number of model airplanes Lucy built last month?

For every model airplane Jamal built, Lucy built 5 model airplanes.

For every 2 model airplanes Jamal built, Lucy built 3 model airplanes.

For every 2 model airplanes Jamal built, Lucy built 5 model airplanes.

For every 7 model airplanes Jamal built, Lucy built 3 model airplanes.

14.

14. A family traveled by car to visit a relative.

* The family traveled 114 miles on the route they used going to the relative's home.

* The family used a different route returning from the relative's home and traveled 156 miles.

* The car used a total of 12 gallons of gas.

On average, how many miles did the family travel for each gallon of gas the car used?

16.4

22.5

15.

15. Simplify: $\frac{3\cdot27.25}{0.25}$

121

243

327

16.

16. Nine dolls are sold at an auction. The selling price, in dollars, of each of the 9 dolls sold is shown in the data set below.

22 28 30 30 32 35 75 110 525

Which statement best describes the selling prices and the most appropriate measure of center of the selling prices?

The selling prices are mostly clustered, making mean the most appropriate measure of center.

The most common selling price is at the center of a cluster, making mode the most appropriate measure of center.

The selling prices are skewed to the right and include an outlier, making mean the most appropriate measure of center.

The selling prices are skewed to the right and include an outlier, making median the most appropriate measure of center.

17.

17. The line plot shows the daily high temperatures in a city for 20 days. Which statement about a statistical measure of the daily high temperatures is true?

The median temperature is 77°F.

The range in temperatures is 15°F.

The mode of the temperatures is 84°F.

The interquartile range of the temperatures is 13°F.

18.

18. Juleen records the number of free throws she attempts in basketball practice each day for two weeks. The information she records is shown below.

15 19 16 24 18 26 38 40 20 41 26 33 40 37

Which histogram represents the information Juleen records?

19.

19. Which box-and-whisker plot most likely represents a set of data in which $\frac{3}{4}$ of the data values are greater than -30?

20.

20. The net of a rectangular prism is shown.

What is the volume, in cubic inches, of the rectangular prism?

$24\frac{1}{6}$

$44\frac{19}{24}$

$45\frac{5}{6}$

$52\frac{1}{12}$

21.

21. Vera is installing new carpet in her bedroom. The shape of the floor in Vera’s bedroom is shown in the diagram.

How many square feet of carpet does Vera need to cover the entire floor in her bedroom?

104

120

168

22.

22. In the parallelogram shown, the ratio of the base to the height (h) is 4:1.

What is the area of the parallelogram?

3 cm²

4 cm²

12 cm²

36 cm²

23.

23. A group of students found a relationship between their thigh bone lengths and their heights. The table can be used to find the approximate height, in centimeters, of a student based on the student’s thigh bone length, in centimeters.

Based on the table, which statement describes the relationship?

Adding 65 centimeters to the thigh bone length will result in the approximate height.

Subtracting the approximate height from 65 centimeters will result in the thigh bone length.

Multiplying the thigh bone length by 2.6 and then adding 65 centimeters will result in the approximate height.

Multiplying the approximate height by 2.6 and then adding 65 centimeters will result in the thigh bone length.

24.

24. There is a relationship between the number of hours a plumber works and the amount of money he earns. The plumber earns $60 for every 2 hours he works. Which statement about the relationship and the amount of money the plumber earns is true?

The number of hours the plumber works is the dependent variable in the relationship, and he earns $270 for 9 hours of work.

The number of hours the plumber works is the independent variable in the relationship, and he earns $270 for 9 hours of work.

The amount of money the plumber earns is the dependent variable in the relationship, and he earns $540 for 9 hours of work.

The amount of money the plumber earns is the independent variable in the relationship, and he earns $540 for 9 hours of work.

25.

25. Kelly rides the bus to work d days each month. She pays a fare of $2.25 each time. On t of those days, she pays an additional fare of $0.75 to transfer to another bus. The expression shown can be used to find her total cost for bus fare for the month.

d*2.25 + t*0.75

Which statement explains how to find Kelly’s total bus fare for the month?

First find the product of d and $2.25 and the product of t and $0.75. Then find the sum of the products.

First find the sum of d and $2.25 and the sum of t and $0.75. Then find the product of the sums.

First find the product of d and $2.25 and the sum of t and $0.75. Then find the sum of the product and the sum.

First find the product of d and $2.25 and the sum of t and $0.75. Then find the product of the product and the sum.

26.

26. Donna purchases 10 tickets to a state fair.

• She purchases 4 adult tickets for $48.

• The remaining tickets are child tickets, for which she pays a total of $42.

What is the ratio of the price of one adult ticket to the price of one child ticket?

2 to 3

4 to 3

8 to 7

12 to 7

27.

27. Shane records the number of yards earned on each of four plays in a football game. The numbers he records are listed below.

-8 15 3 -6

Which list shows the numbers of yards earned in order from least to greatest?

3 -6 -8 15

-6 -8 3 15

-8 -6 3 15

3 15 -8 -6

28.

28. Four points are graphed on the coordinate grid shown. Which graphed point has an ordered pair with an x-coordinate that is the opposite value of the x-coordinate of (-2,4)?

point P

point Q

point R

point S

29.

29. A room in Ben's house has a wall with a height of 10 feet. Ben hangs a painting on the wall so that the ceiling in the room is 3 feet above the top of the painting. The number 3 describes the location of the ceiling in the room relative to the top of the painting. Which number describes the location of the floor in the room relative to the top of the painting?

-10

-7

-3

30.

30. Which expression is equivalent to 72 + 45?

8(9 + 5)

9(8 + 5)

9(8 + 45)

10(62 + 35)

31.

31. Divide: $2\frac{7}{9}\div\frac{5}{6}$

$1\frac{13}{15}$

$2\frac{17}{54}$

$2\frac{14}{15}$

$3\frac{1}{3}$

32.

32. Marty read x books. Jackie read 28 books, which is 6 books more than the number of books Marty read. The equation below can be used to find the number of books Marty read.

x + 6 = 28

Ron read 3 times as many books as Marty. How many books did Ron read?

33.

33. Grace has $15\frac{3}{4}$ cups of plant food.

* She divides the plant food equally into 3 bags.

* She uses all the plant food in 1 of the bags to feed her potted flowers.

* She feeds each potted flower $\frac{3}{4}$ cup of planted food.

How many potted flowers does Grace feed?

$4\frac{1}{2}$

$5\frac{1}{2}$

34.

34. Franco asked his soccer team how many glasses of milk and how many glasses of water each player drinks per day. The line plots show his data.

Which statement correctly describes the number of glasses of milk and the number of glasses of water each player drinks per day?

The mean would be a better measure of center than the median for the number of glasses of milk the players drink.

There is less variability in the number of glasses of milk the players drink than the number of glasses of water they drink.

The median number of glasses of milk the players drink is greater than the mean number of glasses of milk the players drink.

The range for the number of glasses of milk and the range for the number of glasses of water the players drink are the same.

35.

35. A rectangular prism is shown.

What is the surface area of the rectangular prism in cubic centimeters?

173

320

346

390

36.

36. Rosa built a jewelry box. She ﬁrst cut out all the pieces she would need by using the pattern shown.

Based on the pattern, which phrase best describes the shape of the completed jewelry box?

a cube with a box top

a cube with no box top

a rectangular prism with a box top

a rectangular prism with no box top

37.

37. The vertices of a parallelogram are plotted on the coordinate plane shown.

What is the area, in square units, of the parallelogram?

38.

38. A trapezoid is shown.

What is the area of the trapezoid in squre meters?

39.

39. Gary saves $2.50 each day. Which equation describes the relationship between the number of days (d) Gary saves money and the total amount of money (m), in dollars, that he saves?

m = 2.50d

m = d - 2.50

d = 2.50m

$d=\frac{2.50}{m}$

40.

40. There are 150 children playing in a park.

· The number of boys (x) playing in the park is greater than 50.

· The number of girls (y) playing in the park is less than 100.

Which values of x and y could be the numbers of boys and girls playing in the park?

x = 35

y = 115

x = 50

y = 100

x = 55

y = 85

x = 60

y = 90

41.

41. An inequality is shown.

$x+2.5<20$

What is the greatest value of x from the set {10.5, 12.5, 17.5, 19.5} that makes the inequality true?

10.5

12.5

17.5

19.5

42.

42. Alon started in 60% of his team's basketball games this season. He started a total of 12 games. How many games did Alon's team play this season?

43.

43. Jasmine earns $36 for 4 hours of baby-sitting. She charges a constant hourly rate. Which table correctly shows the amount Jasmine earns baby-sitting for different numbers of hours?

44.

44. For a recipe, Harris uses 2 cups of white sugar for each cup of brown sugar. How many cups of brown sugar does Harris use when he uses 1 cup of white sugar?

A. 1/2 cup

B. 1 cup

C. 1 1/2 cups

D. 2 cups

45.

45. The ratio of the number of boys to the number of girls in the cast of a school play is 1 : 5. Which statement must describe the cast of the play?

A. There are exactly 6 students in the cast.

B. There is 1 boy for every 5 girls in the cast.

C. There are 4 more girls than boys in the cast.

D. There is 1 boy out of the 5 students in the cast.

46.

46. James measures the water level from the top of a dock twice a day. The water level in the morning is -2 feet. The water level in the afternoon is -6.5 feet. Which statement about the relationship between the two measurements is true?

A water level of -6.5 feet is higher than a water level of -2 feet,

as -6.5 > -2.

A water level of -2 feet is lower than a water level of -6.5 feet,

as -2 > -6.5.

A water level of -6.5 feet is the same as a water level of -2 feet,

as -6.5 = -2.

A water level of -2 feet is higher than a water level of -6.5 feet,

as -2 > -6.5.

47.

47. Kiah plotted the locations of her home and the city of Huntingdon on the number line shown.

Williamsburg is the same distance from Kiah's home as Huntingdon, but it is in the opposite direction. Which statement best describes how to find the location of Williamsburg on the number line?

The opposite of 6.75 is -6.75, so Williamsburg is at -6.75.

The sum of 6.75 and 6.75 is 13.5, so Williamsburg is at 6.75.

The numbers 6.75 and -6.75 are the same, so Williamsburg is at 6.75.

Opposites, such as 6.75 and -6.75, sum to zero, so Williamsburg is at 0.

48.

48. Greg's social studies grade is based on two quizzes, two tests, and one project. The table below shows Greg's scores on these items, as well as each item's weight in determining his final grade.

To determine his final grade, Greg's teacher multiplies each score by its weight, adds the products together, and then divides the sum by 10. What is Greg's final grade?

79.9

86.8

88.4

92.0

49.

49. Divide: $\frac{3}{4}\div\frac{2}{3}$

$\frac{1}{2}$

$\frac{8}{9}$

$\frac{9}{8}$

50.

50. The histogram represents the weights, rounded to the nearest pound, of several orders of dog food. Which statement best describes the weights of the orders represented in the histogram?

The orders cluster near 20 pounds.

The orders are symmetrical about 8 pounds.

There is a gap in the orders from 11 to 15 pounds.

There is a peak in the orders from 6 to 10 pounds.

51.

51. The bar graph below shows how many questions various percentages of students in a class answered correctly on a recent 10-question quiz.

Which statement best describes the data displayed in the bar graph?

Half the class answered from 0 to 5 of the 10 questions correctly.

Most of the students answered approximately 35% of the quiz questions correctly.

The number of quiz questions answered correctly is clustered around 7 out of 10.

The percentage of students increases as the number of questions answered correctly increases.

52.

52. Enrique and his classmates recorded the distances, in miles, they each traveled for spring break. Their data is shown in the box-and-whisker plot.

Which statement must be true?

The median distance traveled is 80 miles.

The median distance traveled is 200 miles.

The mean distance traveled is 80 miles.

The mean distance traveled is 200 miles.

53.

53. The heights, rounded to the nearest foot, of the trees in a park are listed below.

23 13 8 52 26 42 48 52

What is the median of the tree heights?

33 feet

34 feet

39 feet

44 feet

54.

54. Malik interviewed 20 people who each have just one sibling. He asked them what the difference in age, in years, is between them and their siblings. The line plot shows Malik's data.

Malik removes the point representing the 10-year age difference from his data. Which measure changes the least in value when this point is removed from Malik's data?

mean

median

mode

range

55.

55. Yvonne and her family went on a 10-day fishing trip. The data set below shows the number of fish they caught each day.

14 4 8 16 7 12 10 11 10 9

Which box-and-whisker plot represents the number of fish Yvonne and her family caught on their fishing trip?

56.

56. A data set contains eight numbers. Only four of the numbers are known. When the eight numbers are ordered from least to greatest, the unknown numbers can be placed into the blanks of the ordered list shown below.

19.2 __ __ 20.4 26.0 __ __ 30.8

Which box-and-whisker plot could represent the data set?

57.

57. Matthew asked 10 students how many pets and how many siblings each has. The line plots show his data.

Which statement correctly describes Matthew's data?

The median number of pets the students have is less than the median number of siblings the students have.

There is less variability in the number of pets the students have than in the number of siblings the students have.

The range in the number of siblings the students have is less than the range in the number of pets the students have.

The mean absolute deviation of the number of siblings the students have is less than the mean absolute deviation of the number of pets the students have.

58.

58. Coah Jansen records the number of mile each of his 10 students ran last week. Some information about the numbers of miles is listed below.

* The mean number of miles run by the students is 5.

* The median number of miles run by the students is also 5.

Which line plot could show the numbers of miles the 10 students ran last week?

59.

59. Neelah received a package in the shape of a rectangular prism as shown.

The volume of the package is 748 cubic inches. The equation $4\times11\times h=748$ can be used to find the height (h), in inches, of the package. What is the surface area, in square inches, of Neelah's package?

299

418

510

598

60.

60. Phil is making a number cube out of cardboard. He traces one face of the number cube into a coordinate grid. The coordinates of two opposite vertices of the face are (4,8) and (12,16). What is the surface area, in square units, of Phil's entire number cube?

384

512

61.

61. Jamal keeps different colors of beads in containers shaped like the ones shown.

What is the volume, in cubic inches, of one of these containers?

$4\frac{9}{16}$

$7\frac{1}{2}$

$12\frac{1}{4}$

62.

62. A triangle and a trapezoid are graphed on the coordinate plane shown.

What is the combined area, in square units, of the two shapes?

63.

63. The coordinates of the vertices of a quadrilateral are shown.

What is the area, in square units, of the quadrilateral?

24 square units

36 square units

48 square units

72 square units

64.

64. A birdhouse is shaped like a rectangular prism. A circular hole is cut out of the front of the birdhouse for the entrance, as represented in the picture.

* The volume of the bird house is 140 cubic inches.

* The hole has an area that is 1/4 the area of the top of the birdhouse.

Alicia paints the outside of the birdhouse. How many square inches does Alicia paint?

156

159

161

166

65.

65. The temperature in Dylan's freezer, in degrees Fahrenheit, over several hours in an afternoon is shown in the graph.

Which equation can be used to determine the temperature, in degrees Fahrenheit, of Dylan's freezer?

$x=4$

$y=4$

$x=y+4$

$y=x+4$

66.

66. The table below shows the relationship between the number of buses used on a field trip and the maximum number of riders.

Which equation describes the relationship shown in the table?

$r=b+40$

$r=3b+120$

$r=40b$

$r=117b$

67.

67. Carlos makes wooden boxes without tops to use as flower planters. Each wooden box has a width of 14 inches and a height of 24 inches. The length of the box (x) varies depending on the types of flowers Carlos will plant. A picture of a wooden box is shown.

Which equation can be used to find the surface area (y), in square inches, of a wooden box that has a length of x inches?

$y=38+x$

$y=336x$

$y=672+62x$

$y=672+76x$

68.

68. A relationship is described below.

For every 6 inches of border used around a bulletin board, 2 pushpins are used.

Which statement about the dependent variable in the relationship is true?

The length of border used is the dependent variable because it is determined by the number of pushpins used.

The length of border used is the dependent variable because it is not determined by the number of pushpins used.

The number of pushpins used is the dependent variable because it is determined by the length of border used.

The number of pushpins used is the dependent variable because it is not determined by the length of border used.

69.

69. Sergei knows the bicycle he wants to buy will cost more than $84.00. He has already saved $26.75 for the bicycle. His aunt has given him $20.00 to use to buy the bicycle. Which inequality describes all of the additional amounts of money (m), in dollars, that Sergei could save to be able to buy the bicycle?

$m>37.25$

$m>46.75$

$m>57.25$

$m>84.00$

70.

70. Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. The solution of which equation represents the amount of money (x), in dollars, Craig has after Michael buys the hat?

$x+4=48$

$x+4=68$

$x+20=44$

$x+24=48$

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PSSA Review Packet 22-23

Total questions: 70

Worksheet time: 2hrs 45mins

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