EC-6 MATH CONTENT EXAM
QUESTIONS AND ANSWERS. VERIFIED
2025/2026.
A gardener collects pea seeds from his garden to plant the following year. As he opens the pods
to get to the seeds, he finds 16 pods have large seeds, 9 pods have medium seeds, 20 pods have
small seeds, and 5 pods have cracked seeds. Every pod has 3 seeds inside. If he chose a seed at
random, what is the probability that it is a small seed? - ANS 2/5
Morgan runs a study on children's exposure to television at home. She surveys 100 parents
about their children's TV watching and vocabulary. She finds that toddlers who watch zero hours
of television have an average vocabulary of 30 words. Toddlers who watch two or more hours of
television per day have an average vocabulary of 15 words. What conclusions can she draw? -
ANS Children who watch more TV have a smaller vocabulary on average than children who
watch less TV.
Joe works at the mailroom of a big company. A stack of unsorted mail needs to be delivered as
follows: 46 pieces to the 1st floor, 16 pieces to the 2nd floor, 40 pieces to the 3rd floor, and 18
pieces to the 4th floor. What is the probability that the envelope on the top of the stack will be
for someone on the 4th floor? - ANS 3/20
Tim rolls a pair of dice 25 times and records the sum of the two numbers. How many different
sums are possible? - ANS 11
1 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED.
,The table below shows the results of a survey given to 50 teachers about how many years they
have been teaching.
The results are in the table below.
Number of Years in Teaching
Number of People
�≤5t≤5
12
5<�≤105<t≤10
16
10<�≤1510<t≤15
9
15<�≤2015<t≤20
7
�<20t<20
6
2 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED.
,If a teacher from those surveyed was randomly selected, what is the probability they have been
teaching more than 15 years - ANS 13/50
10 groups of 5 students spin the spinner shown. There is an equal chance the spinner lands on
A, B, or C. If each student spins the spinner 6 times, what is the expected number of times the
spinner would land on A for all 10 groups of students? - ANS 100
Mr. Lee shares a scientific study on stimulus and response in rats with the class. As a class, they
draw conclusions from the study. He then asks them to find potential flaws in the study. What
goal is Mr. Lee trying to achieve? - ANS identifying key components of a valid study
Rick pulled a card at random from a normal deck, noted it, replaced it, shuffled, and drew again.
His draws were as follows: 10, J, 10, K, 1, 2, 6, 10, 11, 4
What is the probability that he will draw a 10 on the next draw? - ANS 1/13
The table represents the number of arrows shot by the archers and the number of targets hit by
the respective archer. If each archer continues to be as accurate as depicted in the table, which
of the following archers is most likely to hit their next target? - ANS Susan
In a container of smooth rocks, 32 are quartz, 29 are feldspar, 24 are turquoise and 65 are
obsidian. What is the probability of randomly grabbing a quartz rock from the box? -
ANS 16/75
Sally and Susie place 30 white marbles and 9 black marbles in a sack. They play a game where
the object of the game is to accumulate more white marbles than the other person. On each
turn, a person can take as many marbles as they would like, but if they grab a black marble then
they must return all their marbles taken on that turn. On Sally's turn, she picks up 3 white
marbles and no black marbles. If Susie grabs one more marble, what is the probability that she
will grab a black marble? (Note: Sally has not yet returned her 3 white marbles to the sack.) -
ANS 1 in 4
3 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED.
, Edward wants to make a plot that depicts his classmate's favorite types of juice. Which of the
following plots would be best suited for that? - ANS Pie Chart
Mckenzie wants to make a graph to display the kinds of pets the students in her class have.
Which graph would best display this data? - ANS bar graph
Mrs. Smith surveyed her first grade class to ask what their favorite snacks were. She constructed
the following pie chart. How many more students prefer ice cream than prefer fruit? - ANS 6
April wants to make a graph to display the amount of time it takes 25 employees to get to work
in the morning. Which graph would best display this data? - ANS stem and leaf plot
Use the chart shown to answer the question that follows.
What percent of the total energy used comes from natural gas? - ANS 29%
The graph shows the approximate population of the United States beginning in 1970.
Assuming the population trend continued in the same manner, what would be a reasonable
estimation for what the population of the United States was in 2010? - ANS 290 million
A school cafeteria offers 5 different meals and serves each meal on a set day of the week. A
teacher takes a survey among her students of which of the 5 meals is their favorite. Which of
the following should the teacher use to display the results of the survey? - ANS a pie chart
Mrs. Stone has just finished teaching her students the difference between a line graph and a bar
graph. She wants to evaluate if they have mastered this concept before the end of class. She
plans to give them sets of data and then have them respond with the correct type of display.
4 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED.
QUESTIONS AND ANSWERS. VERIFIED
2025/2026.
A gardener collects pea seeds from his garden to plant the following year. As he opens the pods
to get to the seeds, he finds 16 pods have large seeds, 9 pods have medium seeds, 20 pods have
small seeds, and 5 pods have cracked seeds. Every pod has 3 seeds inside. If he chose a seed at
random, what is the probability that it is a small seed? - ANS 2/5
Morgan runs a study on children's exposure to television at home. She surveys 100 parents
about their children's TV watching and vocabulary. She finds that toddlers who watch zero hours
of television have an average vocabulary of 30 words. Toddlers who watch two or more hours of
television per day have an average vocabulary of 15 words. What conclusions can she draw? -
ANS Children who watch more TV have a smaller vocabulary on average than children who
watch less TV.
Joe works at the mailroom of a big company. A stack of unsorted mail needs to be delivered as
follows: 46 pieces to the 1st floor, 16 pieces to the 2nd floor, 40 pieces to the 3rd floor, and 18
pieces to the 4th floor. What is the probability that the envelope on the top of the stack will be
for someone on the 4th floor? - ANS 3/20
Tim rolls a pair of dice 25 times and records the sum of the two numbers. How many different
sums are possible? - ANS 11
1 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED.
,The table below shows the results of a survey given to 50 teachers about how many years they
have been teaching.
The results are in the table below.
Number of Years in Teaching
Number of People
�≤5t≤5
12
5<�≤105<t≤10
16
10<�≤1510<t≤15
9
15<�≤2015<t≤20
7
�<20t<20
6
2 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED.
,If a teacher from those surveyed was randomly selected, what is the probability they have been
teaching more than 15 years - ANS 13/50
10 groups of 5 students spin the spinner shown. There is an equal chance the spinner lands on
A, B, or C. If each student spins the spinner 6 times, what is the expected number of times the
spinner would land on A for all 10 groups of students? - ANS 100
Mr. Lee shares a scientific study on stimulus and response in rats with the class. As a class, they
draw conclusions from the study. He then asks them to find potential flaws in the study. What
goal is Mr. Lee trying to achieve? - ANS identifying key components of a valid study
Rick pulled a card at random from a normal deck, noted it, replaced it, shuffled, and drew again.
His draws were as follows: 10, J, 10, K, 1, 2, 6, 10, 11, 4
What is the probability that he will draw a 10 on the next draw? - ANS 1/13
The table represents the number of arrows shot by the archers and the number of targets hit by
the respective archer. If each archer continues to be as accurate as depicted in the table, which
of the following archers is most likely to hit their next target? - ANS Susan
In a container of smooth rocks, 32 are quartz, 29 are feldspar, 24 are turquoise and 65 are
obsidian. What is the probability of randomly grabbing a quartz rock from the box? -
ANS 16/75
Sally and Susie place 30 white marbles and 9 black marbles in a sack. They play a game where
the object of the game is to accumulate more white marbles than the other person. On each
turn, a person can take as many marbles as they would like, but if they grab a black marble then
they must return all their marbles taken on that turn. On Sally's turn, she picks up 3 white
marbles and no black marbles. If Susie grabs one more marble, what is the probability that she
will grab a black marble? (Note: Sally has not yet returned her 3 white marbles to the sack.) -
ANS 1 in 4
3 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED.
, Edward wants to make a plot that depicts his classmate's favorite types of juice. Which of the
following plots would be best suited for that? - ANS Pie Chart
Mckenzie wants to make a graph to display the kinds of pets the students in her class have.
Which graph would best display this data? - ANS bar graph
Mrs. Smith surveyed her first grade class to ask what their favorite snacks were. She constructed
the following pie chart. How many more students prefer ice cream than prefer fruit? - ANS 6
April wants to make a graph to display the amount of time it takes 25 employees to get to work
in the morning. Which graph would best display this data? - ANS stem and leaf plot
Use the chart shown to answer the question that follows.
What percent of the total energy used comes from natural gas? - ANS 29%
The graph shows the approximate population of the United States beginning in 1970.
Assuming the population trend continued in the same manner, what would be a reasonable
estimation for what the population of the United States was in 2010? - ANS 290 million
A school cafeteria offers 5 different meals and serves each meal on a set day of the week. A
teacher takes a survey among her students of which of the 5 meals is their favorite. Which of
the following should the teacher use to display the results of the survey? - ANS a pie chart
Mrs. Stone has just finished teaching her students the difference between a line graph and a bar
graph. She wants to evaluate if they have mastered this concept before the end of class. She
plans to give them sets of data and then have them respond with the correct type of display.
4 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED.
