Name: __________________________________________ Date: ____________________________ Period:__________

Final Exam Review Key

1. The circumference of a clock is 25.12inches. Which equation can be used to

find d, the diameter of the clock in

inches?

25.12d

2. The circumference of a circular garden is

18.84 feet. What is the radius of the garden

in feet?

3ft

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 thanthe diameter of the basketball rim.

III. The diameter of the basketball rim is smaller thanthe diameter of the basketball.

IV. The diameter of the basketball is about 5.5 inchessmaller than the diameter of the basketball rim.

I and IV

4. The wheels on an adult size 4-wheeler have a

radius of 12 inches. What is the distance the

wheels will travel in one full rotation?

75.36 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 4 inches.

Which size lid does she need to purchase for

the soda cups?

12.56 cm

6. A circular window on a boat has a radius of

14 inches. Approximately how much wall

space does the window take up?

615in²

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

8. Sarah was asked to review the student’s

work below, provide feedback and correct

any mistakes.

Which response of Sarah’s would be correct?

The student’s work was not correct, they found circumference and not area

9. Mr. Rochon needs to purchase new grass for

his front lawn. He measured the perimeter of

the lawn using the figure below.

If the grass costs $1.25 per square foot, about

how much would Mr. Rochon pay to replace his

grass?

$118.13

cm²

4cm

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.

How long would it take to smooth out the asphalt for

the small portion of the parking lot?

138.4 minutes

11. If the diameter of a basketball rim is 19inches. What is the approximate

circumference of the basketball rim?

59.66 in.

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.

About how much of the tire was painted black?

100.48 cm2

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

4.5 ft

9 ft

13 ft

22 ft

m

8 ft 3 ft

12cm

4cm

14. Spring Valley Middle School has a teacher

parking lot like the figure below.

About how much area is designated for teacher

parking?

808.48 ft²

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?

Bucket A

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?

305 ft 2

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

__________________________________________

18. James is making boxes. He starts with the

rectangular prism shaped box which is shown

below.

If James cuts off a5

33 inch strip around the top

of the box, what is the volume of the new box?

1450 in.3

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 30 square inches.

How many tubes of glitter will Hannah need?

7 tubes

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.

He plans to paint all walls and the floor with

gold paint. How many square feet of paint will

he need?

26240 ft

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.

TOTAL SURFACE AREA:

__________150.88 square cm_____________________________

LATERAL SURFACE AREA:

_____________119.88 square cm__________________________

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 25 in.2 .

Approximately how many cubic inches of candy

will fit in the piñata?

3207.5 in.

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.

Which of the boxes can fit more space inside?31900 in

Container A

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 three times per

minute, how much water is used for the

waterfall per minute?

105 ft3

27. 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?

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 1440 students in 7th grade do not ride in

a car to school?

990

Quarter

Dime

Nickel

Nickel

Dime

Dime

Quarter

Nickel

Nickel

Quarter

Nickel

Quarter

Dime

Dime

Quarter

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 Friday’s Lunch

Special

Type of Food

Number

of

Students

Hamburger 26

Ham/Turkey

Sandwich 24

Chicken

Sandwich 15

Sloppy Joe 35

Type of

Food

Number

of

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

Baked Chicken on Friday?

125

12

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.

Type

of Card

Number

of

Times

Numbers 2-10 18

King 1

Queen 2

Jack 2

Ace 1

Based on the results of the experiment, what

was the probability for selecting a King or a

Queen?

81

32. 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 90 times, how many times

would you expect him to select a red marble?

18

33. 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?

15

4

34. Jennifer has 25 books on her bookshelf. She has10 fiction books, and the rest are non-fictionbooks. If Jennifer selects a book at random,which expression represents the probabilitythat the book she selects will be a non-fictionbook?

25

101

35. Terry is taking a trip to Dallas on a bus. He willbe randomly assigned to a seat on the bus andhopes not to get a middle seat. He knows thatthere are a total of 72 seats on the bus. Ofthese seats, 24 are middle seats, and the restare aisle or window seats. Approximately whatdecimal represents the probability that Terrywill not be assigned to a middle seat.

.66

______________________________________

36. An ordinary deck of playing cards has 52 cards.There are four suits: spades, hearts, diamonds,and clubs, with 13 cards in each suit. Spadesand clubs are black; hearts and diamonds arered. If one of these cards is selected at random,what is the probability that the card selected isa diamond?

4

1

37. One hundred random 7th grade students weregiven a choice of five careers to study for anupcoming project. The results of the survey areshown in the table below.

Using the results from the data, what is the probability that the students either chose lawyer or an athlete to study for theirproject?

20

9

Careers

Number

of Students

Engineer 10

Doctor/Nurse 23

Entrepreneur 22

Lawyer 25

Athlete 20

38. 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 green?

151

39. The spinner below has 8 congruent sections.

If the arrow on the spinner is spun once, what

is the probability that the arrow will land on

anything but three?

4

3

40. Miguel has a bag of marbles that he uses for hisprobability experiment. He draws one marblefrom the bag, records his results in the tablebelow, and then replaces the marble back intothe bag. He repeats this process as recordedbelow.

What is the probability that the marble drawn was stripe?

%3

133

41. Ms. Morgan has 9 boys and 12 girls in hersecond period class. She needs to select twostudents to represent the class in the AcademicDecathlon. She randomly selects one student,and then selects another. What is theprobability that Ms. Morgan will select a boyand then a girl to represent the class?

35

9

Marble Color

Number of

Times

Red 5

Stripe 9

Blue 4

Purple 7

Black 2

42. 20 applicants, 10 women and 10 men, apply toget accepted into a prestigious university afterhigh school graduation. Each applicant has thesame chance of being accepted. What is theprobability that the university will accept 2 twowomen?

%25

43. The sample space of rolling a standard numbercube twice is shown in the table below.

What is the probability that the sum of the dice is 9?

18

1

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.

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.

Women

Man

Woman

Men

Man

Woman

1/9

46. David joined the local YMCA Little LeagueOlympics. The circle graph represents thenumber of miles David completed for eachactivity.

What percent of the circle graph represents the percentage of miles David walked to the total miles during his four activities?

40%, because5

215

6 and

100

405

2

45. 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 49,800 words.