Name: __________________________________________ Date: ____________________________ Period:__________
Final Exam
1. The circumference of a clock is 28 inches.
Which equation can be used to find d, the
diameter of the clock in inches?
d
28

3. John received a new basketball with a
circumference of 30 inches as a gift. He
already has a basketball goal with a rim that
measures 15 inches in diameter. John thinks
his basketball will fit through the rim. Which
statements would prove his assumption
correct?
I. The circumference of the basketball rim is larger
than the circumference of the basketball.
II. The circumference of the basketball is larger than
the diameter of the basketball rim.
III. The diameter of the basketball rim is smaller than
the diameter of the basketball.
IV. The diameter of the basketball is about 5.5 inches
smaller than the diameter of the basketball rim.
2. The circumference of a circular garden is 32
feet. What is the radius of the garden in feet?
16

I and V
ft
4. The wheels on an adult size 4-wheeler have a
radius of 11 inches. What is the distance the
wheels will travel in one full rotation?
69.08 in.
5. Suzy orders supplies for Quick Stop Gas
Station and she needs to order additional lids
for the disposable soda cups. She knows that
the top of the cup has a diameter of 3 inches.
Which size lid does she need to purchase for
the soda cups?
8.
Sarah was asked to review the student’s
work below, provide feedback and correct
any mistakes.
cm²
4cm
9.42 cm
Which response of Sarah’s would be correct?
The student’s work was not correct, they should
have gotten 50.24 cm².
6. A circular window on a boat has a radius of
12 inches. Approximately how much wall
space does the window take up?
452 in²
9.
Mr. Rochon needs to purchase new grass for
his front lawn. He measured the perimeter of
the lawn using the figure below.
7. The circumference of a personal sized pizza at
Center Court Pizza is 12.56 inches. Their large
pizza is three times the diameter as the
personal sized pizza. What is the area of the
large pizza?
113.04 in2
If the grass costs $1.37 per square foot, about how
much would Mr. Rochon pay to replace his grass?
$129.47
10. A small portion of Just Fitness parking lot,
modeled below, needs to be repaved with
asphalt. It takes 4 minutes to smooth out 5
square feet of asphalt.
12. Tom is painting a tire of a truck in his coloring
book black. The tire is represented by the
shaded region in the picture shown below.
4.5 ft
9 ft
8 ft
3 ft
13 ft
22 ft
m
How long would it take to smooth out the asphalt for
the small portion of the parking lot?
138.4 minutes
About how much of the tire was painted black?
65.94 cm2
11. If the diameter of a basketball rim is 18
inches. What is the approximate
circumference of the basketball rim?
56.52 in.
13. The triangular prism below has a volume of 24
cubic feet.
Using the diagram, what is the height of the
triangular base?
2 ft
14. Spring Valley Middle School has a teacher
parking lot like the figure below.
About how much area is designated for teacher
parking?
16. Tyrone’s parents are painting the walls of his
bedroom. They will not paint the door, which
measures 6.5 feet tall and 3 feet wide. They will
not paint the one window in the room, which
measures 4 feet wide and 3 feet tall.
If the diagram represents the dimensions of the
bedroom, approximately how much paint is
needed?
808.48 ft²
305 ft 2
15. Hunter has two buckets that he uses to build
sand castles at the beach. If each bucket is
completely filled with sand, which bucket will
hold the most sand?
17. A chef makes cakes shaped like triangular
pyramids. Each face of the pyramid is an
equilateral triangle with side lengths of 3 inches
and height of 2.6 inches. Icing costs $0.07 to
cover 1 square inch. How much does it cost to
cover the lateral area of each triangular
pyramid with icing?
.819 = $.82
__________________________________________
Bucket A
18. James is making boxes. He starts with the
rectangular prism shaped box which is shown
below.
If James cuts off a 3
20. A builder is creating a replica of the Egyptian
Pyramid for a theme park in Las Vegas. The
replica will consist of four equilateral triangles
as shown below.
3
inch strip around the top
5
of the box, what is the volume of the new box?
1440 in.3
He plans to paint all walls and the floor with
gold paint. How many square feet of paint will
he need?
6240 ft 2
19. Hannah wants to cover a cardboard box with
glitter. The box is a rectangular prism measuring
4 inches tall, 6 inches wide, and 8 inches long.
Each tube of glitter covers 25 square inches.
How many tubes of glitter will Hannah need?
9 tubes
21. Timmy has a set of wooden blocks that are
shaped like rectangular prisms. Each block is 4
centimeters long, 3 centimeters wide and 2
centimeters high. How many of these blocks
would be needed in order to fill a box that is 20
centimeters long, 15 centimeters wide, and 10
centimeters high?
125 blocks
22. What is the total and lateral surface area of the
figure below.
23. Max has a piñata in the shape of a pyramid with
a triangle base. He wants to determine how
many cubic centimeters of space he has to fill
with candy. He already calculated the area of
the base of the piñata as 27 in.2 .
TOTAL SURFACE AREA:
_______________________________________
Approximately how many cubic inches of candy
will fit in the piñata?
224.1 in.3
LATERAL SURFACE AREA:
_______________________________________
24. A kindergarten teacher was stacking erasers in a
rectangular prism shaped storage box. The box
holds 10 tightly stacked erasers as shown
below.
What is the approximate volume of the storage
box?
191.75 cubic centimeters
25. The US postal service has the boxes below for
purchase to ship odd shaped packages.
26. A water park is designing a play area for kids
where a container collects water and then
dumps the water onto a hill to create a
waterfall. The design of the container is shown
below.
If the container is filled twice per minute, how
much water is used for the waterfall per
minute?
Which of the boxes has enough space to fit
1900 in 3 of material?
Container A
70 ft3
27. Pizza Pizza is having a special on their deep dish
pizzas. Kayden is buying a deep dish pizza for
dinner. Her choices of crusts, vegetables, and
meats are shown below.
Crust
Deep Dish
Thin Crust
Original
Vegetable
Bell
Peppers
Tomatoes
Mushrooms
Meat
28. Mr. Green has three coins in his pocket, 1
quarter, 1 dime, and 1 nickel. If he reaches in
his pocket three times, which sample space
shows all of the possible outcomes for pulling
three coins out of his pocket one-by-one,
without replacement?
Hamburger
Sausage
Pepperoni
Canadian
Bacon
***The answer choices are shown in the column to the
right.***
Deep Dish, Bell Peppers, Canadian Bacon
Deep Dish, Tomatoes, Pepperoni
Deep Dish, Tomatoes, Canadian Bacon
Deep Dish, Mushrooms, Pepperoni
Deep Dish, Mushrooms, Canadian Bacon
Nickel
Dime
Quarter
Nickel
Nickel
Quarter
Quarter
Dime
Dime
Quarter
Dime
Deep Dish, Bell Peppers, Hamburger
Deep Dish, Bell Peppers, Sausage
Deep Dish, Bell Peppers, Pepperoni
Deep Dish, Tomatoes, Hamburger
Deep Dish, Tomatoes, Sausage
Deep Dish, Mushrooms, Hamburger
Deep Dish, Mushrooms, Sausage
If Kayden is buying a deep dish pizza, which list shows
all the other possible outcomes of a deep dish pizza
with 1 type of vegetable and 1 type of meat?
Nickel
Quarter
The list below shows some of the possible outcomes of
a deep dish pizza with 1 vegetable and 1 meat.







Dime
Nickel
29. Lindsey surveyed a random sample of students
in 7th grade at her school to determine how
students get to school each day. The results of
the survey are shown below.



8 students walk or ride a bike
15 students ride in a car
25 students take the bus
Based on the results of the survey, how many of
the 720 students in 7th grade do not ride in a
car to school?
495
30. FBISD Middle School’s cafeteria staff randomly
asked students to recommend a food item for
Tuesday’s and Friday’s lunch specials. The tables
below show the eight types of food
recommended and the number of students who
selected each type of food.
Tuesday’s Lunch
Special
Number
Type of Food
of
Students
Hamburger
26
Ham/Turkey
24
Sandwich
Chicken
15
Sandwich
Sloppy Joe
35
Friday’s Lunch
Special
Number
Type of
of
Food
Students
Taco
18
Burrito
30
Nachos
40
Baked
Chicken
12
Based on the results from the survey, what is
the probability that the cafeteria staff will select
Ham/Turkey Sandwiches on Tuesday and
Nachos on Friday?
David experimented with a 52-card deck to determine
the number of times a certain card would be drawn.
The table below shows the number of cards of each
type that were drawn from the deck.
Number
of
Times
18
1
2
2
1
Type
of Card
Numbers 2-10
King
Queen
Jack
Ace
Based on the results of the experiment, what
was the probability for selecting a King or a
Queen?
1
8
12
125
31. Jason has a bag that contains 5 blue marbles, 7
green marbles, and 3 red marbles. Jason selects
a marble and places it back in the bag. If Jason
selects a marble 60 times, how many times
would you expect him to select a red marble?
12
32. Christopher has a die numbered 1 through 6
and a spinner with five equal sections
numbered 1 through 5. What is the probability
that Christopher will roll a factor of six on the
number cube and spin an even number on the
spinner?
35. An ordinary deck of playing cards has 52 cards.
There are four suits: spades, hearts, diamonds,
and clubs, with 13 cards in each suit. Spades
and clubs are black; hearts and diamonds are
red. If one of these cards is selected at random,
what is the probability that the card selected is
not a diamond?
4
15
3
4
33. Jennifer has 25 books on her bookshelf. She has
10 fiction books, and the rest are non-fiction
books. If Jennifer selects a book at random,
which expression represents the probability
that the book she selects will be a non-fiction
book?
1
10
25
36. One hundred random 7th grade students were
given a choice of five careers to study for an
upcoming project. The results of the survey are
shown in the table below.
Number
of
Students
Engineer
10
Doctor/Nurse
23
Entrepreneur
22
Lawyer
25
Athlete
20
Careers
Using the results from the data, what is the
probability that the students either chose
lawyer or engineer to study for their project?
34. Terry is taking a trip to Dallas on a bus. He will
be randomly assigned to a seat on the bus and
hopes not to get a middle seat. He knows that
there are a total of 72 seats on the bus. Of
these seats, 24 are middle seats, and the rest
are aisle or window seats. Approximately what
decimal represents the probability that Terry
will not be assigned to a middle seat.
.66
______________________________________
7
20
37. A box contains 5 purple marbles, 3 green
marbles, and 2 orange marbles. Two
consecutive draws are made from the box
without replacement of the first draw. What is
the probability that both marbles are purple?
39. Miguel has a bag of marbles that he uses for his
probability experiment. He draws one marble
from the bag, records his results in the table
below, and then replaces the marble back into
the bag. He repeats this process as recorded
below.
Marble
Color
2
9
38. The spinner below has 8 congruent sections.
Red
Stripe
Blue
Purple
Black
Number
of
Times
5
9
4
7
2
What is the probability that the marble drawn
was not stripe?
2
66 %
3
If the arrow on the spinner is spun once, what is
the probability that the arrow will land on the
number three?
1
4
40. Ms. Morgan has 8 boys and 12 girls in her
second period class. She needs to select two
students to represent the class in the Academic
Decathlon. She randomly selects one student,
and then selects another. What is the
probability that Ms. Morgan will select a boy
and then a girl to represent the class?
24
95
41. 20 applicants, 10 women and 10 men, apply to
get accepted into a prestigious university after
high school graduation. Each applicant has the
same chance of being accepted.
43. Micah and Sylvia created a box plot and list
respectively that shows the amount of money
they each saved per week for three months.
Man
Women
Woman
Man
Men
Woman
Using the tree diagram above, what is the
probability that the university will accept two
women?
25%
42. The sample space of rolling a standard number
cube twice is shown in the table below.
What is the probability that the sum of the dice
is 11?
1
18
Based on the information in the box plot and
list, which statement about the amount of
money that Micah and Sylvia saved for three
months appears to be true?
Sylvia’s interquartile range is
greater than Micah’s interquartile
range.
44. David joined the local YMCA Little League
Olympics. The circle graph represents the
number of miles David completed for each
activity.
45. The two dot plots below show the times that
Marco and Antonio ran in ten trials of the 40yard dash.
Based on the information in the dot plots,
which statement regarding the times of the ten
trails that Antonio and Marco ran for the 40yard dash is supported by the data?
What percent of the circle graph represents the
percentage of miles David walked to the total
miles during his four activities?
20%, because
Antonio’s median run time is less
than Marco’s median run time.
3 1
1 20
 and 
15 5
5 100
46. Sally counts the words on 5 random pages of
her 200 page library book. She finds that the 5
pages have a combined 1,245 words on them.
Which statement is the best inference she can
make from this data?
The book has around 50,000 words.
47. Samantha randomly selected every tenth 7th
grader at her school to respond in a survey
about their favorite pet. She asked them to
name their favorite pet. Below is a bar graph
showing the results of the survey.
Which of the following can be inferred about
the entire 7th grade at the school from the
survey results?
About 50% of the 7th grade students
at the school would choose either a
dog or cat as their favorite pet.
Use the data below to answer questions 17 - 18.
Every year, Mrs. Woods gives an end of the year math
project as a major grade. The table below lists the
project grades for the 140 students enrolled in her class.
48. How many students received a grade of at least
an 80 on the end of the year math project?
105 students
49. How many more students scored between a 90100 on the math project than the number of
students who scored below an 80 on the math
project?
7