Name: Date: Period: Final Exam Review Key 1. The circumference of a clock is 25.12 inches. Which equation can be used to find d, the diameter of the clock in inches? 25.12 d 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 18.84 feet. What is the radius of the garden in feet? I and IV 3ft 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 8. Sarah was asked to review the student s work below, provide feedback and correct any mistakes. cm² 4cm Which response of Sarah s would be correct? The student s work was not correct, they found circumference and not area 6. A circular window on a boat has a radius of 14 inches. Approximately how much wall space does the window take up? 615in² 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 in 2 If the grass costs $1.25 per square foot, about how much would Mr. Rochon pay to replace his grass? $118.13
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. 4.5 ft 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. 12cm 9 ft 3 ft 8 ft 13 ft 22 ft How long would it take to smooth out the asphalt for the small portion of the parking lot? 4cm 138.4 minutes About how much of the tire was painted black? 100.48 cm 2 11. If the diameter of a basketball rim is 19 inches. What is the approximate circumference of the basketball rim? 59.66 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. 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. About how much area is designated for teacher parking? 808.48 ft² If the diagram represents the dimensions of the bedroom, approximately how much paint is needed? 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. 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. If James cuts off a 3 3 inch strip around the top 5 of the box, what is the volume of the new box? 1450 in. 3 He plans to paint all walls and the floor with gold paint. How many square feet of paint will he need? 2 6240 ft 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 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 25 in. 2. TOTAL SURFACE AREA: Approximately how many cubic inches of candy will fit in the piñata? 150.88 square cm LATERAL SURFACE AREA: 3 207.5 in. 119.88 square cm 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 three times per minute, how much water is used for the waterfall per minute? Which of the boxes can fit more space inside? 3 1900 in 105 ft 3 Container A
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? Dime Nickel Quarter Nickel Dime Quarter Nickel Dime Nickel Quarter Quarter Dime Nickel Dime Quarter 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
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. 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. 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 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? 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? 1 8 12 125 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? 4 15 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. 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 a diamond? 1 4 34. 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? 10 1 25 37. 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 Careers of Students Engineer 10 Doctor/Nurse 23 Entrepreneur 22 Lawyer 25 Athlete 20 Using the results from the data, what is the probability that the students either chose lawyer or an athlete to study for their project? 35. 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. 9 20.66
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? 1 15 39. The spinner below has 8 congruent sections. 40. 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. Number Marble of Color Times Red 5 Stripe 9 Blue 4 Purple 7 Black 2 What is the probability that the marble drawn was stripe? 1 33 % 3 If the arrow on the spinner is spun once, what is the probability that the arrow will land on anything but three? 3 4 41. Ms. Morgan has 9 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? 9 35
42. 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. What is the probability that the university will accept 2 two women? Man 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. Women Woman Man Men Woman 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? 25 % Sylvia s interquartile range is greater than Micah s interquartile range. 43. 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 9? 1 18 1/9
46. David joined the local YMCA Little League Olympics. The circle graph represents the number of miles David completed for each activity. What percent of the circle graph represents the percentage of miles David walked to the total miles during his four activities? 6 2 2 40 40%, because and 15 5 5 100 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.