7th Grade PSSA Practice Test (2020 - Probability & Geometry)

Which statement best describes a random sample of all students in a middle school?

• Of all the students who are on the track team, the first three to finish a race are selected.

• Of all the students who are in the drama club, every third student on the roster is selected.

• Of all the students who complete an assignment, the first, third, and tenth students are selected.

• Of all the students who attend a school-wide assembly, those sitting in every third seat are selected.

Lee will conduct a survey at his school. He will select a random sample of students at the school to take the survey. Which sample is the best random sample for Lee to use?

• every other student in the drama club

• every fifth student who enters the school

• every student who rides the same bus as Lee

• every fourth student in Lee’s homeroom class

Two teams sold the same item for a fundraiser. The number of sales by each team member is shown in the line plots.

Based on the line plots, which statement is true?

• No team member from team B had more sales than any team member from team A.

• Every team member from team A had more sales than 50% of the team members from team B.

• At least one team member from each team had the median number of sales for his or her team.

• The range for the number of sales for team A is equal to the greatest number of sales for team B.

Customers in two randomly selected groups at a yogurt shop are asked their preference of yogurt flavors. The responses for the customers in each group are summarized in the table.

Based on the information shown in the table, which statement best describes the preferences of the customers in the two groups?

• In both groups, more customers prefer peach-flavored yogurt than either of the other two flavors

• In both groups, fewer customers prefer vanilla-flavored yogurt than either of the other two flavors.

• In group 2, the same number of customers prefer strawberry-flavored yogurt and vanilla-flavored yogurt.

• In group 1, more customers prefer either strawberry-flavored yogurt or vanilla-flavored yogurt than peach-flavored yogurt.

A team of 10 basketball players have their heights recorded to make a data set. The mean, median, mode, and range of the data set are recorded. Then, the height of the team’s coach is included to make a new data set. The coach is shorter than all but one of the basketball players. Which measure must be the same when the coach’s height is included?

• mean

• median

• mode

• range

Pat is conducting a probability experiment using the spinner pictured.

Pat spins the spinner one time. Which statement about the result of the spin is true?

• Region 1 is certain.

• Region 3 is impossible.

• Region 2 is more likely than region 3.

• Region 1 and region 2 are equally likely

Some of the squares on the grid are shaded.

One square on the grid is randomly selected. What is the probability that the square is not shaded?

• 1/36

• 1/30

• 29/30

• 5/6

Using data from car sales, probabilities for the color of a car sold were calculated. The probabilities for two colors are listed below.

• The probability a car sold is white is 0.21.

• The probability a car sold is black is 0.19.

Based on these probabilities, how many of the next 200 cars sold are likely to be white and how many are likely to be black?

• white: 11 black: 10

• white: 21 black: 19

• white: 42 black: 38

• white: 80 black: 80

A chair can be purchased in one of four colors: red, white, green, or blue. The number of chairs purchased in each color is listed below.

• red: 150

• white: 450

• green: 225

• blue: 375

Based on the information shown in the list, what is the probability that the next chair purchased will be red?

• 1/8

• 1/7

• 1/4

• 2/5

The table shows the numbers of game chips of different colors in a bag.

Danielle randomly selects one chip from the bag. Which statement about the selection is true?

• The probability of selecting a red chip is 1/3.

• Selecting a yellow, green, or blue chip is certain.

• The probability of selecting a green chip is 1/20.

• Selecting a blue or red chip is less likely than selecting a yellow chip.