Question 1

A cereal company puts a colored ring in each box of cereal. There are 6 different ring colors. The colors of the rings in each of 50 cereal boxes are shown in the table below.

Based on the data, what is the probability that the next cereal box will contain a blue or a yellow ring?

Accepted Answer

$\frac{2}{5}$

Answer

$\frac{3}{5}$

Answer

$\frac{2}{3}$

Answer

$\frac{1}{6}$

Question 2

The school bus Evie rides is scheduled to arrive at her stop at 8:20 a.m. each day. The table below shows the actual arrival times of the bus for several days that were randomly selected over the past few months.

Based on these data, what is the probability that the bus will arrive at Evie's stop before 8:20 a.m. tomorrow?

Accepted Answer

$\frac{7}{20}$

Answer

$\frac{3}{10}$

Answer

$\frac{13}{20}$

Answer

$\frac{1}{3}$

Question 3

Malika and Adrian prepared containers of potato salad at a deli. Each container was supposed to have a mass of one pound. The manager selected a random sample of containers prepared by each employee to check the mass of each container. The results are shown in the table below.

Which inference is BEST supported by these data?

Accepted Answer

Most of Malika's containers will have a mass closer to one pound than most of
Adrian's containers.

Answer

Most of Adrian's containers will have a mass closer to one pound than most of
Malika's containers.

Answer

Adrian will produce more containers with a mass of exactly one pound than
Malika will.

Answer

Malika will produce more containers with a mass of exactly one pound than
Adrian will.

Question 4

Sara is playing a board game. The probability that Sara will score a point on her next turn is $\frac{1}{3}$. Which statement describes the probability that Sara will score a point on her next turn?

Accepted Answer

unlikely

Answer

certain

Answer

impossible

Answer

likely

Question 5

Leanne collects data throughout the basketball season and uses these data to determine the probabilities of different teams playing in the league championship game. The probabilities for her four favorite teams playing in the championship game are shown below.

Which of these teams is LEAST LIKELY  to play in the championship game?

Accepted Answer

Bulldogs

Answer

Titans

Answer

Redbirds

Answer

Tigers

Question 6

A researcher surveyed five randomly selected employees from each of four different companies about their daily commutes to work. The table shows the commute times for the surveyed employees.

Based on the data, which company most likely has the longest average commute time per employee?

Accepted Answer

Company 1

Answer

Company  4

Answer

Company 3

Answer

Company 2

Question 7

A passenger train has tickets available for $12$ window seats and $8$ aisle seats. The next person to buy a ticket will be randomly assigned to one of those seats. What is the probability that the next person will be assigned to an aisle seat?

Accepted Answer

$\frac{2}{5}$

Answer

$\frac{1}{2}$

Answer

$\frac{1}{8}$

Answer

$\frac{2}{3}$

Question 8

A bowling team participates in a two-day tournament and records the scores for each team member on both days. The scores for both days are represented by the box plots below. Which conclusion can be drawn from the box plots?

Accepted Answer

The scores on Friday have a greater median than the scores on Saturday, but both data sets have the same interquartile range.

Answer

The scores on Friday have a greater interquartile range than the scores on Saturday, but both data sets have the same median.

Answer

The scores on Friday have a greater median and a greater interquartile range than the scores on Saturday.

Answer

The scores on Friday and the scores on Saturday have the same median and interquartile range.

Question 9

A seventh grade English Language Arts teacher wants to order books for all the seventh grade classes. He wants to determine the favorite type of book among the seventh grade students. Which sample would be the most appropriate for this survey?

Accepted Answer

every fifth student in the seventh grade

Answer

7 girls in each of his classes

Answer

all of the boys in one of his seventh grade classes

Answer

1 out of 7 students in his middle school

Question 10

A board game has a spinner divided into sections of equal size. Each section is labeled with a number between 1 and 5.

Which number is a reasonable estimate of the number of times the spinner will land on a section labeled 5 over the course of 150 spins?

Accepted Answer

40

Answer

15

Answer

25

Answer

60

Question 11

A spinner is divided into four colored sections that are not of equal size: red, blue, purple, and orange. The arrow on the spinner is spun several times.
The arrow on the spinner will bespun one more time. Based on these results, what is the probability that the arrow will land on the purple section?

Accepted Answer

$\frac{1}{5}$

Answer

$\frac{1}{4}$

Answer

$\frac{1}{12}$

Answer

$\frac{1}{6}$

Question 12

A principal gathered data about the distance, in miles, that his teachers and bus drivers live from the school. The box plots below show these data.
Based on the box plots, which statement is true?

Accepted Answer

The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.

Answer

The range of the distances for the teachers is twice the range of the distances for the bus drivers.

Answer

The interquartile range of the distances for the bus drivers is twice the interquartile range of the distances for the teachers.

Answer

The range of the distances for the teachers is 5 miles less than the range of the distances for the bus drivers.

Question 13

A spinner with seven equal-sized sections was used to play a game.
• It was used 250 times in the first game.
• Of those 250, the arrow landed on section 7 a total of 35 times.
• The same spinner was used 150 times in the second game.
How many times did the spinner MOST LIKELY land on section 7 in the second game?

Accepted Answer

21

Answer

14

Answer

30

Answer

35

Question 14

A computer program selects blue, red, or green as the background color each time the program is used.
• The program was used 45 times on the same computer in one week.
• Of those 45 times, a blue background appeared 12 times and a red background appeared 21 times.
Based on this information, which statement about the likelihood of the green background appearing the next time the program is used is true?

Accepted Answer

Green is just as likely as blue to appear, but not as likely as red.

Answer

Green is just as likely as red or blue to appear.

Answer

Green is not as likely as blue to appear, but is as likely as red.

Answer

Green is not as likely as red or blue to appear.

Question 15

Which number represents the probability of an event that is very likely to occur?

Accepted Answer

0.89

Answer

0.09

Answer

0.12

Answer

1.3

Question 16

A middle school principal wants to change the lunch menu at the school. The principal surveys the students to determine how the students would feel about the changes.
Which survey method will produce the BEST representative sample?

Accepted Answer

survey 3 randomly selected students from every homeroom

Answer

survey every tenth seventh grade student during lunch

Answer

survey 5 randomly selected students from every art, drama, and music class

Answer

survey every fifth student who rides in a car to school

Question 17

Kerry has a bag containing white and yellow marbles. Kerry randomly selects one marble from the bag, records the result, and returns the marble to the bag. The results of the first $65$ selections are shown below.

$\quad\bullet\,$  A white marble was selected $41$ times.
$\quad\bullet\,$ A yellow marble was selected $24$ times.

Based on these results, what is the probability that the next marble Kerry selects, rounded to the nearest percent, will be white?

Accepted Answer

$63\%$

Answer

$59\%$

Answer

$50\%$

Answer

$41\%$

Question 18

The students in a class collected data on the number of minutes per day some kids spend brushing their teeth. Their data is shown in the dot plot below.

Which statement correctly describes these data?

Accepted Answer

The median is 1.5 and the mean is greater than the median.

Answer

The median is 1.5 and the mean is less than the median.

Answer

The median is 0.5 and the mean is less than the median.

Answer

The median is 0.5 and the mean is greater than the median.

Question 19

A company sells artwork using a website. Information about the number of people that visited the website and the number of pieces of artwork purchased on a single day is listed below.
$\quad\bullet\,$ 177 people did not purchase any artwork
$\quad\bullet\,$  24 people purchased one piece of artwork
$\quad\bullet\,$  9 people purchased more than one piece of artwork

Based on the data from that day, what is the probability that the next person to visit the website will purchase more than one piece of artwork?

Accepted Answer

$\frac{3}{50}$

Answer

$\frac{3}{47}$

Answer

$\frac{1}{9}$

Answer

$\frac{9}{9}$

Question 20

An electronic sign that showed the speed of motorists was installed on a road. The line plots below show the speeds of some motorists before and after the sign was installed.

Based on these data, which statement is true about the speeds of motorists after the sign was installed?

Accepted Answer

The mean speed and the range of the speeds of the motorists decreased.

Answer

The mean speed of the motorists decreased and the range of the speeds increased.

Answer

The median speed of the motorists increased and the range of the speeds decreased.

Answer

The median speed and the range of the speeds of the motorists increased.

Question 21

A school principal wants to determine which type of speaker the students prefer to invite to an assembly for the entire student population. Which survey method would produce the BEST representative sample?

Accepted Answer

survey every tenth student entering the school one morning

Answer

survey every fifth person who shops at a mall

Answer

survey all of the students who went to the last basketball game

Answer

survey all of the students on the student council

Question 22

Henry has a fair number pyramid with four faces and a spinner with three equal-sized colored sections. The possible outcomes for each are shown below.

What is the probability that the number pyramid will land on three and the spinner will stop on blue?

Accepted Answer

$\frac{1}{12}$

Answer

$\frac{3}{12}$

Answer

$\frac{7}{12}$

Answer

$\frac{4}{12}$

Question 23

Which event is MOST likely to occur?

Accepted Answer

rolling a fair number cube, with faces labeled one to six, and the cube landing on a number less than six

Answer

spinning the arrow on a spinner, with four equal sectors labeled one to four, and the arrow landing on a number greater than one

Answer

choosing a marble out of a bag, with nine blue marbles and one red marble, and the marble being red

Answer

flipping a fair coin, with sides labeled heads and tails, and the coin landing on tails

Question 24

The results for a survey of $120$ students who were selected randomly are listed below:

$\quad\bullet\, 60$ students have a cell phone plan with company $	ext X$
$\quad\bullet\, 36$ students have a cell phone plan with company $	ext Y$
$\quad\bullet\, 24$ students do not have a cell phone

The total population of students was $380.$ Based on the data, what is the BEST approximation for the total number of students who have a cell phone plan with company $	ext Y?$

Accepted Answer

$114$

Answer

$127$

Answer

$163$

Answer

$143$

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