Answer questions 1-35 on your Scantron. Questions 1-30 will be scored for the Power Bowl event. In the event of a tie, questions 31-35 will be used as the tiebreaker. Questions 1 and 2: Pilar is a waitress. She earns $3.75 per hour, plus tips. On Wednesday, she made $115.21 in tips. 1. Which equation below represents the amount of money she made on Wednesday, w, if she worked for a certain number of hours, h? a. w = 115.2h - 3.875 b. w = 115.2h + 3.75 c. w = 3.75h + 115.21 d. w = 3.75h - 115.21 e. w = 115.21 + 3.75 + h 2. Solve for w if Pilar worked a total of 8 hours. a. $145.21 b. $85.21 c. $925.43 d. $917.93 e. None of these 3. The number? equals one-fourth of its own reciprocal. What is the number? a. b. c. 2 d. 4 e. 25 4. Of 2005 integers whose product is even, at most? can be odd. a. 2005 b. 2004 c. 1 d. 0 e. 2 5. 81 81 81 81 = a. 3 b. 9 c. 27 d. 81 e. 43,046,721 8 th Grade Power Bowl Page 1
6. Today is my birthday. My age today, in months, is 72 times my age 5 years ago, in years. My age today, in years, is a. 6 b. 7 c. 8 d. 12 e. 77 7. Which expression is equivalent to 3 + 8 7 6? a. 4 +14 b. 4 + 14 c. 3 + 14 7 d. 3 +2 7 e. -4x 3 2 8. The formula for finding the perimeter,, of a rectangle with length l and width is given. = 2l + 2 Which formula shows how the length of a rectangle can be determined from the perimeter and the width? a. l= 2 b. l= c. l= + d. l= e. l= 8 th Grade Power Bowl Page 2
9. Which graph represents the equation 5 3 = 15? E. None of these 10. Rock Falls and the following towns are located along highway 30 in the U.S. The town of Columbus is west of Rock Falls. Ames is east of Columbus but west of Rock Falls. Lexington is east of Rock River but west of Columbus. Soda Springs is west of Rock Falls and Rock River. Which town is farthest west? a. Columbus b. Lexington c. Ames d. Soda Springs e. Rock River 8 th Grade Power Bowl Page 3
11. Emily, Sarah, and Andrea share a bowl of strawberries. First, Emily ate of them. Then Sarah ate of the remaining strawberries. Andrea ate the last 8 strawberries. How many strawberries did Emily eat? a. 6 b. 8 c. 12 d. 24 e. 48 12. From 2013 to 2014 the number of Instagram user increased by 23% to 80 million. If this trend continues, approximately how many user will Instagram have in 2018 (to the nearest million)? a. 149 million b. 154 million c. 183 million d. 225 million e. 98 million 13. Find the height of the cylinder below if its volume is 210 cm 3. Use 3.14 for. Round your answer to the nearest tenth. 12cm a. 7912.8 cm b. 23,738.4 cm c. 17.5 cm d. 0.5 cm e. 1.9 cm 14. Tatiana s piggy bank is filled with pennies, nickels, dimes, and quarters. If she has at least five of each coin and has a total of $5.03, what is the least total number of coins that she could have in her piggy bank? a. 23 b. 34 c. 36 d. 38 e. 39 8 th Grade Power Bowl Page 4
15. In the diagram, the side of each square is one-half the length of the side of the next larger square. If the area of the largest square is 1, what is the sum of the areas of the four shaded squares? a. 1 3 b. 85 256 c. 43 128 d. 15 16 e. 15 32 16. If the area of a square is 30 square centimeters what is the perimeter of the square (rounded to the nearest tenth of a cm)? a. 21.9 b. 22.1 c. 22.2 d. 22.3 e. 22.4 17. Solve: y 6-5 a. y -11 b. y 1 c. y -11 d. y 1 e. None of these 18. The L-shape A B C D E F is the image of the L-shape ABCDEF after reflection in which of the following lines? a. The x-axis b. The y-axis c. The line x = 2 d. The line y = x e. The line y = 2 8 th Grade Power Bowl Page 5
19. The markings on this number line are equally spaced. What is the value of N? -43 17 N a. 23 b. 19 c. 17 d. 15 e. 13 20. The L-shape A B C D E F is the image of the L-shape ABCDEF after reflection in which of the following lines? a. The y-axis b. The line x = 3 c. The line y = x d. The line y = -x e. The x-axis 21. 100 = 36 +? a. 2 b. 4 c. 16 d. 64 e. 94 22. Jenn s 16-ounce soda is 60% Mr. Pibb and 40% Sprite. Gregg s 24-ounce soda is 25% Barq s and 75% Sprite. They combine their two sodas, mix, and then pour four 10-ounce glasses. What percent Sprite is in each 10-ounce glass? a. 50% b. 57.5% c. 60% d. 61% e. 62.5% 8 th Grade Power Bowl Page 6
23. Dallas is 1.1 10 6 feet from Tulsa. Oklahoma City is 5.6 10 5 feet from Tulsa. Which estimate best describes the quotient shown?.. a. Between 0 and 1 b. Between 1 and 2 c. Between 5 and 15 d. Between 15 and 100 e. Between 10 and 20 24. What is the length of the hypotenuse in the right triangle below? x 6 cm 7 cm a. 13 cm b. 13 cm c. 85 cm d. 85 cm e. 13x cm 25. Unit squares (shown below) are used to build each pattern. The first three patterns are shown. Not including the square hole, how many unit squares are needed to build the 20 th pattern in this sequence? a. 140 b. 144 c. 164 d. 172 e. 176 8 th Grade Power Bowl Page 7
26. Simplify: a. b. c. d. e. 5 27. If 2 x = 8, what is the value of x x? a. 3 b. 9 c. 4 d. 16 e. 27 28. The first 12 contestants won an average of $80. The next 20 won an average of $70. The 32 contestants won an average of a. $73.75 b. $74.75 c. $75.00 d. $75.75 e. $72.00 29. The median number of points scored by 9 players in a basketball game is 12. The range of the numbers of points scored by the same basketball players in the same game is 7. Which statement is true based on the given information? a. At least one player scored 12 points. b. The greatest number of points scored is less than 19 points. c. The mean number of points scored is greater than 12 points. d. If the greatest number of points scored is 16, then the least number of points scored is 4. e. None of these 30. Which one of the following is NOT irrational? a. 2 + 7 b. 2 + 7 c. 2 + 7 d. 2+7 e. None of these 8 th Grade Power Bowl Page 8
31. Which one of the following cannot be expressed as a negative integer? a. 4 b. 8 c. 24 4 d. 24 4 e. None of these 32. For how many of these five values for x is x 3 < x? -5 0.8 5 a. One b. Two c. Three d. Four e. Five 33. On my scooter, the rear wheel s diameter is 6 cm more than the front wheel s. The rear wheel s circumference is? cm more than the front wheel's. a. 3 cm b. 6 cm c. 9 cm d. 36 cm e. 12 cm 34. In rectangle ABCD, BC = 4, CD =10, and BE = x. What is the area of the shaded region? A E B D C a. 20 + 2x b. 20 + 4x c. x 40 d. 20 + x e. 40 + 2x 2 35. From 7:45 p.m. to 9:30 p.m., Jim drove a distance of 84 miles at a constant speed. What was his speed in miles per hour? a. 12 miles per hour b. 42 miles per hour c. 48 miles per hour d. 57.9 miles per hour e. None of these 8 th Grade Power Bowl Page 9