Question 1

Four candidates are running for school president. A random sample of students at the school are surveyed about which of the candidates they are likely to choose. The chart below shows the number of students from the random sample who chose each candidate.

A total of 800 students are expected to vote in the election for school president. Based on the information shown in the chart, which election outcome is MOST LIKELY?

Accepted Answer

Janelle will win with 128 more votes than the second-place finisher, Rasheed.

Answer

Rasheed will win with 189 more votes than he had in the survey.

Answer

Janelle will win with 8 more votes than the second-place finisher, Rasheed.

Answer

Rasheed will win with 192 votes.

Question 2

The miles-per-gallon averages for random samples of cars and of small trucks are shown in the box-and-whisker plots below.

Based on the box-and-whisker plots, which statement about the miles-per-gallon averages of the cars and small trucks is MOST LIKELY true?

Accepted Answer

About $50\%$ of the cars and $50\%$ of the small trucks get between $18$ and $27$ miles per gallon.

Answer

About $75\%$ of the small trucks get a lesser average number of miles per gallon than the least number of average miles per gallon of any car in the car sample.

Answer

About $50\%$ of the cars and $25\%$ of the small trucks get between $25$ and $33$ miles per gallon.

Answer

About $75\%$ of the cars get a greater average number of miles per gallon than any small truck in the small truck sample.

Question 3

A computer scientist writes a program to generate single-digit and double-digit numbers using the digits 1 and 2. The probabilities the scientist used in the program are shown in the table below.

Which statement about the likelihood of a number being generated by the program is true?

Accepted Answer

The program is more likely to generate a single-digit number than a double-digit number.

Answer

The program is equally likely to generate a single-digit number as a double-digit number.

Answer

The program is more likely to generate a double-digit number containing only 1s or
only 2s than a double-digit number containing a 1 and a 2.

Answer

The program is unlikely to generate a double-digit number.

Question 4

The number of paper clips of each color in a box is shown in the table below.

Margo randomly selects 1 paper clip from the box, records its color, and returns it to the box. She does this 10 times. Which table shows experimental results from Margo's selections that are CLOSEST to the expected results when based on the probabilities of selecting a paper clip of each color from the box?

Accepted Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/da0f6788-53be-0ca4-1e09-18025083a18e.png

Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/d3a39986-bad8-214f-b74d-fee197741caa.png

Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/561ccf66-69e4-c5eb-6bd0-33088486ce8a.png

Answer

https://uploads.quizalize.com/c12cfe18-5f88-222a-d95a-aa05c0e62c7d/question/f80ae0bc-9c9c-80f0-5a2a-2966706f32af.png

Question 5

The table below 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?

Accepted Answer

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

Answer

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

Answer

The probability of selecting a green chip is  $\frac{1}{20}$.

Answer

The probability of selecting a red chip is $\frac{1}{3}$.

Question 6

Charlene has 12 plastic cups. Of the 12 plastic cups, 3 are green, 4 are red, and 5 are blue. She stacks the cups into a single stack in random order. What is the probability that the cup on top of the stack is NOT green?

Accepted Answer

$\frac{3}{4}$

Answer

$\frac{2}{5

Answer

$\frac{2}{3}$

Answer

$\frac{1}{4}$

Question 7

A carpenter will make a single, straight cut through the rectangular prism shown below by randomly choosing a face and cutting parallel to that face. The cut will be a whole number of centimeters from the chosen face.

What is the probability that the area, in square centimeters, of the cross section created by the cut will NOT be a multiple of 100?

Accepted Answer

$\frac{1}{3}$

Answer

$0$

Answer

$1$

Answer

$\frac{2}{3}$

Question 8

Keisha has a bag containing blue, green, orange, and red marbles. The number of marbles of each color is shown in the table below

Keisha randomly selects 1 marble from the bag, records its color, and returns the marble to the bag. She does this three times. What is the probability Keisha selects a red marble, then a green marble, and then a blue or orange marble?

Accepted Answer

$\frac{7}{500}$

Answer

$\frac{4}{25}$

Answer

$\frac{3}{500}$

Answer

$\frac{7}{108}$

Question 9

Carla uses a special $	ext{12-sided}$ number polyhedron for some experiments. Some information about the polyhedron is listed below.

$\quad\bullet\enspace$ There is a $\frac{1}{3}$ probability that Carla will roll a number that is a multiple of $3$.
$\quad\bullet\enspace$ There is a $\frac{5}{12}$ probability that Carla will roll a prime number.

Carla rolls $	ext{12-sided}$ number polyhedron two times. What is the probability that Carla rolls a multiple of $3$ on her first roll, and a number that is not a prime number on her second roll?

Accepted Answer

$\frac{7}{36}$

Answer

$\frac{7}{18}$

Answer

$\frac{5}{18}$

Answer

$\frac{5}{36}$

Question 10

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 11

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?

Accepted Answer

range

Answer

mode

Answer

median

Answer

mean

Question 12

Some of the squares on the grid below are shaded.
One square on the grid is randomly selected. What is the probability that the square is NOT shaded?

Accepted Answer

$\frac{5}{6}$

Answer

$\frac{1}{30}$

Answer

$\frac{29}{36}$

Answer

$\frac{1}{36}$

Question 13

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?

Accepted Answer

every fifth student who enters the school

Answer

every student who rides the same bus as Lee

Answer

every fourth student in Lee's homeroom class

Answer

every other student in the drama club

Question 14

As of 2012, there have been 8 players in the history of professional baseball who have each hit more than 600 home runs in his career. There have been over 15,000 professional baseball players throughout the history of professional baseball. Which term BEST describes the likelihood that a randomly chosen professional baseball player has hit more than 600 home runs in his career?

Accepted Answer

unlikely

Answer

likely

Answer

neither unlikely nor likely

Answer

impossible

Question 15

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.
$\bullet$ red: 150
$\bullet$ white: 450
$\bullet$ green: 225
$\bullet$ blue: 375
Based on the information shown in the list, what is the probability that the next chair purchased will be red?

Accepted Answer

$\frac{1}{8}$

Answer

$\frac{2}{5}$

Answer

$\frac{1}{4}$

Answer

$\frac{1}{7}$

Question 16

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 17

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

Based on the line plots, which statement is true?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 18

Pat is conducting a probability experiment using the spinner pictured below.

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

Accepted Answer

Region 2 is more likely than region 3.

Answer

Region 1 is certain.

Answer

Region 1 and region 2 are equally likely.

Answer

Region 3 is impossible.

Question 19

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

$\qquad\bullet\enspace$ The probability a car sold is white is $0.21$.
$\qquad\bullet\enspace$ 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?

Accepted Answer

white: 42
black: 38

Answer

white: 11
black: 10

Answer

white: 80
black: 80

Answer

white: 21
black: 19

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